Relevant bibliographies by topics / Coupled formulation

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  1. Journal articles
  2. Dissertations / Theses
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Academic literature on the topic 'Coupled formulation'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Coupled formulation"

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Marotti de Sciarra, Francesco. "Some Variational Principles for Coupled Thermoelasticity." Journal of Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/516462.

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The nonlinear thermoelasticity of type II proposed by Green and Naghdi is considered. The thermoelastic structural model is formulated in a quasistatic range, and the related thermoelastic variational formulation in the complete set of state variables is recovered. Hence a consistent framework to derive all the variational formulations with different combinations of the state variables is provided, and a family of mixed variational formulations, with different combinations of state variables, is provided starting from the general variational formulation. A uniqueness condition is provided on the basis of a suitable variational formulation.
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Sulbhewar, Litesh N., and P. Raveendranath. "A locking-free coupled polynomial Timoshenko piezoelectric beam finite element." Engineering Computations 32, no. 5 (2015): 1251–74. http://dx.doi.org/10.1108/ec-09-2013-0218.

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Purpose – Piezoelectric extension mode smart beams are vital part of modern control technology and their numerical analysis is an important step in the design process. Finite elements based on First-order Shear Deformation Theory (FSDT) are widely used for their structural analysis. The performance of the conventional FSDT-based two-noded piezoelectric beam formulations with assumed independent linear field interpolations is not impressive due to shear and material locking phenomena. The purpose of this paper is to develop an efficient locking-free FSDT piezoelectric beam element, while maintaining the same number of nodal degrees of freedom. Design/methodology/approach – The governing equations are derived using a variational formulation to establish coupled polynomial field representation for the field variables. Shape functions based on these coupled polynomials are employed here. The proposed formulation eliminates all locking effects by accommodating strain and material couplings into the field interpolation, in a variationally consistent manner. Findings – The present formulation shows improved convergence characteristics over the conventional formulations and proves to be the most efficient way to model extension mode piezoelectric smart beams, as demonstrated by the results obtained for numerical test problems. Originality/value – To the best of the authors’ knowledge, no such FSDT-based finite element with coupled polynomial shape function exists in the literature, which incorporates electromechanical coupling along with bending-extension and bending-shear couplings at the field interpolation level itself. The proposed formulation proves to be the fastest converging FSDT-based extension mode smart beam formulation.
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Assefa, Migbar, Xin Lai, Lisheng Liu, and Yang Liao. "Peridynamic Formulation for Coupled Thermoelectric Phenomena." Advances in Materials Science and Engineering 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/9836741.

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Modeling of heat and electrical current flow simultaneously in thermoelectric convertor using classical theories do not consider the influence of defects in the material. This is because traditional methods are developed based on partial differential equations (PDEs) and lead to infinite fluxes at the discontinuities. The usual way of solving such PDEs is by using numerical technique, like Finite Element Method (FEM). Although FEM is robust and versatile, it is not suitable to model evolving discontinuities. To avoid such shortcomings, we propose the concept of peridynamic theory to derive the balance of energy and charge equations in the coupled thermoelectric phenomena. Therefore, this paper presents the transport of heat and charge in thermoelectric material in the framework of peridynamic (PD) theory. To illustrate the reliability of the PD formulation, numerical examples are presented and results are compared with those from literature, analytical solutions, or finite element solutions.
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Sistaninia, Me, Ma Sistaninia, and H. Moeanodini. "Laser Surface Hardening Considering Coupled Thermoelasticity." Journal of Mechanics 25, no. 3 (2009): 241–49. http://dx.doi.org/10.1017/s1727719100002690.

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AbstractThermoelastic temperature, displacement and stress in heat transfer during laser surface hardening are solved in both Lagrangian formulation and Eulerian formulation. In the Eulerian formulation, the heat flux is fixed in space and the work-piece is moved through a control volume. In the case of uniform velocity and uniform heat flux distribution, the Eulerian formulation leads to a steady-state problem, while the Lagrangian formulation remains transient. In the Eulerian formulation, the reduction to a steady-state problem increases the computational efficiency. Also, in this study, an analytical solution is developed for an uncoupled transient heat conduction equation in which a plane slab is heated by a laser beam. The thermal results of the numerical models are compared with the results of the analytical model. A comparison of the results shows that numerical solutions in the case of uncoupled problem are in good agreement with the analytical solution.
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Lang, R. J., and A. Yariv. "An exact formulation of coupled-mode theory for coupled-cavity lasers." IEEE Journal of Quantum Electronics 24, no. 1 (1988): 66–72. http://dx.doi.org/10.1109/3.95.

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Lindgren, I. "Hermitian formulation of the coupled-cluster approach." Journal of Physics B: Atomic, Molecular and Optical Physics 24, no. 6 (1991): 1143–59. http://dx.doi.org/10.1088/0953-4075/24/6/007.

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Yasumoto, Kiyotoshi. "Coupled-mode formulation of parallel dielectric waveguides." Optics Letters 18, no. 7 (1993): 503. http://dx.doi.org/10.1364/ol.18.000503.

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Hirono, T., and Y. Yoshikuni. "A Hamiltonian formulation for coupled-wave equations." IEEE Journal of Quantum Electronics 30, no. 8 (1994): 1751–55. http://dx.doi.org/10.1109/3.301638.

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Gamnitzer, Peter, Andreas Brugger, Martin Drexel, and Günter Hofstetter. "Modelling of Coupled Shrinkage and Creep in Multiphase Formulations for Hardening Concrete." Materials 12, no. 11 (2019): 1745. http://dx.doi.org/10.3390/ma12111745.

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The durability and serviceability of concrete structures is influenced by both the early-age behavior of concrete as well as its long-term response in terms of shrinkage and creep. Hygro-thermo-chemo-mechanical models, as they are used in the present publication, offer the possibility to consistently model the behavior of concrete from the first hours to several years. However, shortcomings of the formulation based on effective stress, which is usually employed in such multiphase models, were identified. As a remedy, two alternative formulations with a different coupling of shrinkage and creep are proposed in the present publication. Both assume viscous flow creep to be driven by total stress instead of effective stress, while viscoelastic creep is driven either by total or effective stress. Therefore, in contrast to the formulation based on effective stress, they predict a limit value for shrinkage as observed in long-term drying shrinkage tests. Shrinkage parameters for the new formulations are calibrated based on drying shrinkage data obtained from thin slices. The calibration process is straightforward for the new formulations since they decouple shrinkage and viscous flow creep. The different formulations are compared using results from shrinkage tests on sealed and unsealed cylindrical specimens. Shrinkage strain predictions are significantly improved by the new formulations.
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Kumar, Rajneesh, Aseem Miglani, and Rekha Rani. "Eigenvalue formulation to micropolar porous thermoelastic circular plate using dual phase lag model." Multidiscipline Modeling in Materials and Structures 13, no. 2 (2017): 347–62. http://dx.doi.org/10.1108/mmms-08-2016-0038.

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Purpose The purpose of this paper is to study the axisymmetric problem in a micropolar porous thermoelastic circular plate with dual phase lag model by employing eigenvalue approach subjected to thermomechanical sources. Design/methodology/approach The Laplace and Hankel transforms are employed to obtain the expressions for displacements, microrotation, volume fraction field, temperature distribution and stresses in the transformed domain. A numerical inversion technique has been carried out to obtain the resulting quantities in the physical domain. Effect of porosity and phase lag on the resulting quantities has been presented graphically. The results obtained for Lord Shulman theory (L-S, 1967) and coupled theory of thermoelasticity are presented as the particular cases. Findings The variation of temperature distribution is similar for micropolar thermoelastic with dual (MTD) phase lag model and coupled theory of thermoelasticity. The variation is also similar for tangential couple stress for MTD and L-S theory but opposite to couple theory. The behavior of volume fraction field and tangential couple stress for L-S theory and coupled theory are observed opposite. The values of all the resulting quantities are close to each other away from the sources. The variation in tangential stress, tangential couple stress and temperature distribution is more uniform. Originality/value The results are original and new because the authors presented an eigenvalue approach for two dimensional problem of micropolar porous thermoelastic circular plate with dual phase lag model. A comparison of porosity, L-S theory and coupled theory of micropolar thermoelasticity is made. Such problem has applications in material science, industries and earthquake problems.
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Dissertations / Theses on the topic "Coupled formulation"

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PASTOR, JORGE AURELIO SANTA CRUZ. "RESERVOIR MODELING THROUGH A COUPLED FINITE ELEMENT FORMULATION." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2001. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=2082@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>A produção de hidrocarbonetos resulta na redução da pressão do reservatório( depletação ). À medida que a pressão do reservatório diminui, as tensôes efetivas aplicadas na matriz rochosa aumentam, provocando reduções na porosidade e na permeabilidade da rocha assim como redução de volume, esta última conhecida como compactação.A compactação do reservatório pode provocar subsidência da superfície com conseqüentes impactos ambientais e problemas em equipamentos localizados no poço, tais como revestimentos, e outros problemas associados, tais como produção de sólidos. No entanto, compactação não é sempre prejudicial porque ajuda a manter a pressão do reservatório e, conseqüentemente, a produtividade. O acoplamento fluxo-deformação é fundamental na análise deste problema. Este trabalho tem com objetivo discutir a teoria e as equações que modelam este processo acoplado, suas limitações e sua capacidade de representar corretamente os fenômenos físicos envolvidos.Além disto, foi desenvolvido um simulador numérico baseado no método dos elementos finitos, para a modelagem transiente de um fluxo monofásico através de um meio poroso, considerando-se o acoplamento fluxo do fluido,deformações e temperatura.O material rochoso é modelado segundo um modelo poroelástico. O simulador foi testado comparando resultados com resultados obtidos através de soluções analíticas.Além disto, uma simulção de fluxo em reservatório foi efetuada para avaliar a capacidade do simulador, tendo-se comparado os resultados com resultados encontrados na literatura. A análise foi feita considerando o overburden e o sideburden.Foi verificada uma ótima concordância entre os resultados.O simulador mostrou-se capaz de representar as variações de pressão não apenas decorrentes da difusão do fluido, mas também aquelas provocadas por variações de tensões totais. Em alguns casos, a variação de tensões totais no topo do reservatório é significativa,demonstrando que simuladores convencionais podem induzir erros significativos em termos de variações das pressões no fluido.<br>Prodution ofhydrocarbon often to a reduction in reservoir pressure. Depending upon the rock compressibility, this reduction in reservoir pressure causes substancial strains and eventual shear collapse. While reservoir pressure decreases the effective stress increases, induting porosity and permeability reduction changes and an overall volume decrease known as compaction. Compaction of reservoir may eventually be transmitted to the surface and cause vertical movements, known as subsidence. Compaction may have serious consequences upon well casing,and other associated problems, such as solid production. However, compaction is not always detrimental because it helps maitaining reservoir pressure and consequently, reservoir productivity. Hydromechaninical coupling is essential to analyze this problem.The aim of this work is to discuss the theory and develop the equations that governthis coupled process. The limitations and possibilities in representing the associated phenomena are highlighted. A numerical, finite element based, simulator was developed to model the single-phase flow through porous media taking into accout the hydrothermo-mechanical coupling. The rock material is assumed to behave as a poroelastic material.The results obtained by the computer simulator were compared with theorical solutions for the classical problem of uniaxial deformation test and for the stress concentration aroun inclined welbores in porous media. The results showed excellent agreement. A idealized reservoir simulation was carrierd out using the computer model and the results of pore pressure, total stresses and displacement changes were compared with results published in the literature, obtained by similar approaches. The comparisons showed very good agreement. In the simulations the presences of overburden, sideburden and underburden were recognized. The simulator represented well the changes in fluid pressure associated with both the diffusion process and the changes in total stresses. In some cases, the changes in total stresses at the top of the reservoir are significant which demonstrates the partial flaw of the conventional flow simulators that are not able to take this effect into account.
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Ganu, Shreerang. "Implementation of coupled magnetoelastic finite element formulation in machinery application, including magnetostriction effects." FIU Digital Commons, 2007. https://digitalcommons.fiu.edu/etd/3622.

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A high frequency physical phase variable electric machine model was developed using FE analysis. The model was implemented in a machine drive environment with hardware-in-the-loop. The novelty of the proposed model is that it is derived based on the actual geometrical and other physical information of the motor, considering each individual turn in the winding. This is the first attempt to develop such a model to obtain high frequency machine parameters without resorting to expensive experimental procedures currently in use. The model was used in a dynamic simulation environment to predict inverter-motor interaction. This includes motor terminal overvoltage, current spikes, as well as switching effects. In addition, a complete drive model was developed for electromagnetic interference (EMI) analysis and evaluation. This consists of the lumped parameter models of different system components, such as cable, inverter, and motor. The lumped parameter models enable faster simulations. The results obtained were verified by experimental measurements and excellent agreements were obtained. A change in the winding arrangement and its influence on the motor high frequency behavior has also been investigated. This was shown to have a little effect on the parameter values and in the motor high frequency behavior for equal number of turns. An accurate prediction of overvoltage and EMI in the design stages of the drive system would reduce the time required for the design modifications as well as for the evaluation of EMC compliance issues. The model can be utilized in the design optimization and insulation selection for motors. Use of this procedure could prove economical, as it would help designers develop and test new motor designs for the evaluation of operational impacts in various motor drive applications.
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Franci, Alessandro. "Unified Lagrangian formulation for fluid and solid mechanics, fluid-structure interaction and coupled thermal problems using the PFEM." Doctoral thesis, Universitat Politècnica de Catalunya, 2015. http://hdl.handle.net/10803/291562.

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The objective of this thesis is the derivation and implementation of a unified Finite Element formulation for the solution of uid and solid mechanics, Fluid-Structure Interaction (FSI) and coupled thermal problems. The unified procedure is based on a stabilized velocity-pressure Lagrangian formulation. Each time step increment is solved using a two-step Gauss-Seidel scheme: first the linear momentum equations are solved for the velocity increments, next the continuity equation is solved for the pressure in the updated configuration. The Particle Finite Element Method (PFEM) is used for the fluid domains, while the Finite Element Method (FEM) is employed for the solid ones. As a consequence, the domain is remeshed only in the parts occupied by the fluid. Linear shape functions are used for both the velocity and the pressure fields. In order to deal with the incompressibility of the materials, the formulation has been stabilized using an updated version of the Finite Calculus (FIC) method. The procedure has been derived for quasi-incompressible Newtonian fluids. In this work, the FIC stabilization procedure has been extended also to the analysis of quasi-incompressible hypoelastic solids. Specific attention has been given to the study of free surface flow problems. In particular, the mass preservation feature of the PFEM-FIC stabilized procedure has been deeply studied with the help of several numerical examples. Furthermore, the conditioning of the problem has been analyzed in detail describing the effect of the bulk modulus on the numerical scheme. A strategy based on the use of a pseudo bulk modulus for improving the conditioning of the linear system is also presented. The unified formulation has been validated by comparing its numerical results to experimental tests and other numerical solutions for fluid and solid mechanics, and FSI problems. The convergence of the scheme has been also analyzed for most of the problems presented. The unified formulation has been coupled with the heat tranfer problem using a staggered scheme. A simple algorithm for simulating phase change problems is also described. The numerical solution of several FSI problems involving the temperature is given. The thermal coupled scheme has been used successfully for the solution of an industrial problem. The objective of study was to analyze the damage of a nuclear power plant pressure vessel induced by a high viscous fluid at high temperature, the corium. The numerical study of this industrial problem has been included in the thesis.<br>El objectivo de la presente tesis es la derivación e implementación de una formulación unificada con elementos finitos para la solución de problemas de mecánica de fluidos y de sólidos, interacción fluido-estructura (Fluid-Structure Interaction (FSI)) y con acoplamiento térmico. El método unificado està basado en una formulación Lagrangiana estabilizada y las variables incognitas son las velocidades y la presión. Cada paso de tiempo se soluciona a través de un esquema de dos pasos de tipo Gauss-Seidel. Primero se resuelven las ecuaciones de momento lineal por los incrementos de velocidad, luego se calculan las presiones en la configuración actualizada usando la ecuación de continuidad. Para los dominios fluidos se utiliza el método de elementos finitos de partículas (Particle Finite Element Method (PFEM)) mientras que los sólidos se solucionan con el método de elementos finitos (Finite Element Method (FEM)). Por lo tanto, se ramalla sólo las partes del dominio ocupadas por el fluido. Los campos de velocidad y presión se interpolan con funciones de forma lineales. Para poder analizar materiales incompresibles, la formulación ha sido estabilizada con una nueva versión del método Finite Calculus (FIC). La técnica de estabilización ha sido derivada para fluidos Newtonianos casi-incompresibles. En este trabajo, la estabilización con FIC se usa también para el análisis de sólidos hipoelásticos casi-incompresibles. En la tesis se dedica particular atención al estudio de flujo con superficie libre. En particular, se analiza en profundidad el tema de las pérdidas de masa y se muestra con varios ejemplos numéricos la capacidad del método de garantizar la conservación de masa en problemas de flujos en supeficie libre. Además se estudia con detalle el condicionamiento del esquema numérico analizando particularmente el efecto del módulo de compresibilidad. Se presenta también una estrategia basada en el uso de un pseudo módulo de compresibilidad para mejorar el condicionamiento del problema. La formulación unificada ha sido validada comparando sus resultados numéricos con pruebas de laboratorio y resultados numéricos de otras formulaciones. En la mayoría de los ejemplos también se ha estudiado la convergencia del método. En la tesis también se describe una estrategia segregada para el acoplamiento de la formulación unificada con el problema de transmisión de calor. Además se presenta una simple estrategia para simular el cambio de fase. El esquema acoplado ha sido utilizado para resolver varios problemas de FSI donde se incluye la temperatura y su efecto. El esquema acoplado con el problema térmico ha sido utilizado con éxito para resolver un problema industrial. El objetivo del estudio era la simulación del daño y la fusión de la vasija de un reactor nuclear provocados por el contacto con un fluido altamente viscoso y a gran temperatura. En la tesis se describe con detalle el estudio numérico realizado para esta aplicación industrial
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Hammad, Bashar Khalil. "Modeling, Simulation, and Analysis of Micromechanical Filters Coupled with Capacitive Transducers." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/27744.

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The first objective of this Dissertation is to present a methodology to calculate analytically the mode shapes and corresponding natural frequencies and determine critical buckling loads of mechanically coupled microbeam resonators with a focus on micromechanical filters. The second objective is to adopt a nonlinear approach to build a reduced-order model and obtain closed-form expressions for the response of the filter to a primary resonance. The third objective is to investigate the feasibility of employing subharmonic excitation to build bandpass filters consisting of either two sets of two beams coupled mechanically or two sets of clamped-clamped beams. Throughout this Dissertation, we treat filters as distributed-parameter systems. In the first part of the Dissertation, we demonstrate the methodology by considering a mechanical filter composed of two beams coupled by a weak beam. We solve a boundary-value problem (BVP) composed of five equations and twenty boundary conditions for the natural frequencies and mode shapes. We reduce the problem to a set of three linear homogeneous algebraic equations for three constants and the frequencies in order to obtain a deeper insight into the relation between the design parameters and the performance metrics. In an approach similar to the vibration problem, we solve the buckling problem to study the effect of the residual stress on the static stability of the structure. To achieve the second objective, we develop a reduced-order model for the filter by writing the Lagrangian and applying the Galerkin procedure using its analytically calculated linear global mode shapes as basis functions. The resulting model accounts for the geometric and electric nonlinearities and the coupling between them. Using the method of multiple scales, we obtain closed-form expressions for the deflection and the electric current in the case of one-to-one internal and primary resonances. The closed-form solution shows that there are three possible operating ranges, depending on the DC voltage. For low DC voltages, the effective nonlinearity is positive and the filter behavior is hardening, whereas for large DC voltages, the effective nonlinearity is negative and the filter behavior is softening. We found that, when mismatched DC voltages are applied to the primary resonators, the first mode is localized in the softer resonator and the second mode is localized in the stiffer resonator. We note that the excitation amplitude can be increased without worrying about the appearance of multivaluedness when operating the filter in the near-linear range. The upper bound in this case is the occurrence of the dynamic pull-in instability. In the softening and hardening operating ranges, the adverse effects of the multi-valued response, such as hysteresis and jumps, limit the range of the input signal. To achieve the third objective, we propose a filtration technique based on subharmonic resonance excitation to attain bandpass filters with ideal stopband rejection and sharp rolloff. The filtration mechanism depends on tuning two oscillators such that one operates in the softening range and the other operates in the hardening range. Hardware and logic schemes are necessary to realize the proposed filter. We derive a reduced-order model using a methodology similar to that used in the primary excitation case, but with all necessary changes to account for the subharmonic resonance of order one-half. We observe that some manipulations are essential for a structure of two beams coupled by a weak spring to be suitable for filtration. To avoid these complications, we use a pair of single clamped-clamped beams to achieve our goal. Using a model derived by attacking directly the distributed-parameters problem, we suggest design guidelines to select beams that are potential candidates for building a bandpass filter. We demonstrate the proposed mechanism using an example.<br>Ph. D.
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Monahan, Shean Patrick. "The Boltzmann/Spencer-Lewis smart scattering formulation of forward and adjoint coupled electron-positron-photon transport in three-dimensional multimedia regions." Diss., The University of Arizona, 1994. http://hdl.handle.net/10150/186615.

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In this work a new method is developed that divides the physics of charged particle transport into two separate classes depending on the type of particle collisions that take place. The result is the Boltzmann/Spencer-Lewis SMART scattering formulation that combines a path length dependent description of the continuous slowing down approximation with the physics of catastrophic collisions. Both the forward and exact adjoint of the S(N)/diamond differenced numerical solution of this equation, using multigroup constants produced by a pre-existing cross section generating code, are developed for x-y-z multimedia geometry. Sample problems demonstrating the nearly perfect agreement between the forward and adjoint numerical algorithms are included. Evidence of the substantial difference between the adjoint of the continuous equation and the adjoint of the discretized equations is also presented.
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Sztulzaft, Patrick. "Green-expert : un solveur généralisé associé à un générateur de formulations pour la méthode des intégrales de frontières." Grenoble INPG, 1994. https://hal.archives-ouvertes.fr/tel-01331763.

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De nombreux secteurs de l'industrie et de la recherche utilisent la modélisation des phénomènes de la physique des milieux continus. Les équations aux dérivées partielles décrivant ces phénomènes sont résolues à l'aide de diverses méthodes numériques. Les modélisations utilisées sont de plus en plus pointues, tant au niveau physique qu'au niveau numérique. Les réponses logicielles à ces problèmes doivent donc être évolutives. Ce travail s'insère dans une dynamique de recherche dans le domaine de la modélisation des phénomènes complexes qui a débuté avec l'élaboration du programme Flux-Expert®, basé sur la Méthode des Eléments Finis. Afin d'élargir le champ des possibilités offertes par ce programme, nous avons choisi d'y associer la Méthodes des Intégrales de Frontières. Dans cette optique, après une présentation didactique de la Méthode des Intégrales de Frontières, nous proposons une décomposition générale de la résolution numérique d'un problème à l'aide de cette méthode. Nous décrivons ensuite le logiciel issu de cette analyse : Green-Expert. L'originalité de la démarche réside dans l'association d'un programme Générateur de Formulations et d'un programme Solveur généralisé. Ce Solveur est capable de résoudre tout problème décrit à l'aide d'une formulation issue du Générateur et d'une Géométrie discrétisée. La dernière partie de ce mémoire est consacré à la validation. Des exemples de couplage entre la Méthode des Intégrales de Frontières et la Méthode des Éléments Finis sont présentés. Enfin, des exemples de résolution 2D et 3D permettent de valider le Générateur et le Solveur de Green-Expert<br>Investigations in many sectors of industry and research require the modelling of phenomena observed in the physics of continuous media. The partial differential equations describing these phenomena are solved using a wide range of numerical methods. The models used are increasingly sophisticated, from both a physical and numerical point of view. Software used to solve these problems must therefore be capable of evolving. This work is a continuation of research efforts devoted to the modelling of complex phenomena that began with the development of the Flux-Expert® program, based on the Finite Element Method. In order to extend the possibilities offered by this program, we decided to combine it with the Boundary Element Method. After reviewing the Boundary Element Method, we propose a general decomposition of the numerical solution of a problem using this method. We then describe the Green-Expert software developed on the basis of this analysis. The original aspect of the approach lies in the combination of a formulations generator and a general solver. This solver is capable of solving any problem described using a formulation coming from the Generator and a discrete geometry. The last part of this thesis is devoted to the validation phase. Examples of the combined use of the Boundary Elements and the Finite Element Methods are presented and examples of 2D and 3D resolution are used to validate the Green-Expert Solver and Generator
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Rajaomazava, III Tolotra Emerry. "Dynamique d'un hydrofoil dans un fluide visqueux : algorithmes de couplage en IFS et application." Thesis, Brest, 2014. http://www.theses.fr/2014BRES0062/document.

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Le travail engagé dans cette thèse porte sur l'étude numérique des Interactions Fluide-structure en hydrodynamique. Dans une première partie, une analyse détaillée des méthodes de couplage (schémas décalés) a été effectuée sur un cas académique. Il s'agit de la résolution de l'équation non-linéaire de Burgers dans un domaine mobile, dont I'interface mobile est représentée par un système de type masse ressort. Selon la discrétisation en temps et la linéarisation du problème couplé, on distingue quatre schémas de couplages différents : explicite, semi-implicite, implicite-externe et implicite-interne. Une étude comparative des performances en vitesse de convergence et en temps de calcul de ces schémas a été effectuée. Les performances varient suivant le schéma de couplage utilisé. Le schéma explicite permet un calcul rapide en comparaison des autres schémas. En revanche il n'assure pas la conservation de l'énergie mécanique à I'interface fluide-structure. D'où le problème de stabilité du schéma numérique. Ce problème ne se pose pas pour les algorithmes de couplage implicites, car dans ce cas la conservation de l'énergie à I'interface est assurée. Il s'agit en effet d'une condition de convergence du schéma implicite. Ce schéma requière plus de temps de calcul, mais il est nécessaire pour avoir plus de précision dans les résultats. Par ailleurs, I'analyse des déplacements de I'interface fluide-structure montre que l'écart entre la position de I'interface comme étant le bord mobile du fluide et la position de la structure, dépend principalement du schéma d'actualisation du maillage choisi.Dans une deuxième partie une extension de l'étude des algorithmes de couplage à un problème plus concret d'IFS est effectuée. Un hydrofoil en pilonnement et tangage est ainsi étudié. L'équation de la dynamique de I'hydrofoil est écrite en considérant un centre de rotation situé à une distance non nulle du centre de gravité.Ce qui rend l'équation non-linéaire et introduit un couplage des deux modes pilonnement et tangage) ainsi qu'un amortissement du tangage. La dynamique de I'hydrofoil est étudiée pour différentes configurations : en mouvement libre ou forcé, dans un fluide au repos ou en écoulement. On observe que le mouvement de I'hydrofoil est pseudo périodique amorti. L'évolution des charges hydrodynamiques suit également cette tendance et tend vers un point d'équilibre. L'étude vibratoire montre bien une modification des fréquences propres du système, qui varient suivant que le fluide est au repos ou en écoulement. Le problème est également couplé à l'équation de la position du centre de pression, qui dépend de la position de I'hydrofoil et de l'écoulement. Celle-ci présente une singularité lorsque la portance et la traînée s'annulent simultanément.Enfin Les équations prenant en compte la présence d'un fluide non-homogène à I'interface fluide-structure, du type des écoulements cavitants par poche stationnaire ou auto-oscillante, ont été développés. La méthode consiste à séparer les variables du fluide en écoulement autour d'un hydrofoil immobile d'une part et celles de l'écoulement généré par la vibration de I'hydrofoil d'autre part. Il en résulte un opérateur de masse ajoutée non symétrique en milieu non homogène et un opérateur d'amortissement ajouté dû au taux de variations de masse volumique à l’interface dans le cas auto-oscillant. L'ensemble se traduit par une modulation au cours du temps des fréquences propres et des amplitudes du système<br>A numerical study of Fluid Structure Interaction (FSI) in hydrodynamic case is adressed in this thesis. Thirstly, the analysis of coupling methods (staggered schemes) was established to an academic case. It corresponds to the resolution of non linear Burgers equation in a moving domain where the moving interface is assimilated to a mass spring system. According to the time discretisation and linearization of the coupled problem, four coupling scheme can be defined : explicit, semi-implicit, implicit-outer and implicit-inner. A comparative performance study in convergence and computing time were performed. The performance depends on the coupling scheme used. The explicit scheme requires less time compared to the others schemes. However it does not allow the mechanical energy conservation at the interface, inducing the stability issue of the numerical scheme. This instabilities does not arise for the implicit coupling algorithms because the energy conservation at the interface is fulfilled. lndeed, a convergence condition is added for implicit schemes. Even though these schemes require more computing time, they are necessary to get better precision. Inter alia, the fluid-structure interface analysis shows that the gap between the interface taken as the moving boundary and the structure position mostly depends on the actualization scheme of the chosen mesh.In the second part, the coupling algorithm study is extended to physical problem of FSI. A hydrofoil in heave and pitch immersed in a fluid flow is then studied. The equation of hydrofoil movement takes account the distance between the rotation center and the center of gravity. This causes the equation to be nonlinear and introduces a coupling of the two movements (heave and pitch) and a damping of the heave movement. The hydrofoil dynamic is studied for different configurations : forced movements or not, immersed in a fluid at rest or a flowing one. It shows that the hydrofoil movement is pseudo-periodic followed by a damping movement. The hydrodynamic forces tend to follow the same evolution and converge to an equilibrium point. The vibration study clearly shows a frequency modification of the system that depends on the fluid flow (at rest or with an inflow). The problem is also coupled to center of pressure position's equation which depends on the hydrofoil position and the fluid flow. The trend of the position presents a singularity when the lift and drag coefficients vanishes at the same time.Last part, the equation that take into account the inhomogeneous characteristic of the fluid at the fluid-structure interface as well as sheet cavitation in steady or unsteady case, was developed. The method allows the separation of the fluid variables when flowing around the fixed hydrofoil on one hand and the flow generated by the hydrofoil vibration one the other. This introduces an asymmetric added mass operator and an added damping operation due to the variation of the density of the fluid at the interface in unsteady case.The whole system results in a natural frequencies and amplitudes modulation over time
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Golovanov, Cristian. "Développement de formulations éléments finis 3D en potentiel vecteur magnétique : application à la simulation de dispositifs électromagnétiques en mouvement." Phd thesis, Grenoble INPG, 1997. http://tel.archives-ouvertes.fr/tel-00904770.

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Modélisation des équations électromagnétiques 3D couplées avec les circuits d'alimentation électrique et le déplacement de parties mobiles, dans le cas de machines électriques tournantes. La formulation choisie utilise, comme inconnue principale, le potentiel vecteur magnétique nonjaugé, int~rpolé sur des éléments finis d'arête. Le caractère compatible de la formulation est assuré par l'introduction d'un potentiel vecteur électrique pour représenter le courant source, tant pour les inducteurs filaires maillés que pour les inducteurs filaires non-maillés. Le circuit électrique d'alimentation est analysé par la méthode des potentiels électriques intégrés dans le temps et les systèmes électrique et magnétique sont résolus simultanément. La connexion entre les parties mobiles est les parties fixes se fait par une technique d'interpolation des maillages, adaptée aux éléments d'arête. Des méthodes numériques spécifiques ont été développées et implantées, notamment pour l'intégration en pas-à-pas dans le temps du système temporel du premier ordre et pour la résolution du système matriciel résultant. L'ensemble des développements effectués a été validé sur un moteur à réluctance variable.
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Florez, Julio. "Elasticite couplee a l'endommagement : formulation, analyse theorique et approximation numerique." Paris 6, 1989. http://www.theses.fr/1989PA066187.

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On considere les modeles d'elasticite couplee a l'endommagement independant du temps en petites perturbations. Pour ces modeles, on etudie deux formulations differentes, la formulation incrementale classique, inspiree directement de la plasticite et la formulation fonctionnelle qui exprime la valeur de l'endommagement a un instant particulier comme une fonction de l'histoire de deformations. On propose des formulations variationnelles a deux champs (deplacement et endommagement) pour les problemes aux limites en vitesses et d'evolution associes aux modeles consideres. Sur la base de ces formulations, on discute quelques proprietes des solutions: existence, unicite, stabilite et regularite. On decrit une methode numerique pour l'obtention de solutions approchees au probleme d'evolution, elle aussi basee sur la formulation a deux champs. La methode est illustree par quelques exemples numeriques
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Yuan, Kuo-Yao. "Energy based coupled elastoplastic damage-healing formulations for earth moving processes." Diss., Restricted to subscribing institutions, 2009. http://proquest.umi.com/pqdweb?did=1722434481&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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Books on the topic "Coupled formulation"

1

Wriggers, P., and Paulo de Mattos Pimenta. New trends in thin structures: Formulation, optimization and coupled problems. Springer, 2010.

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De Mattos Pimenta, Paulo, and Peter Wriggers, eds. New Trends in Thin Structures: Formulation, Optimization and Coupled Problems. Springer Vienna, 2010. http://dx.doi.org/10.1007/978-3-7091-0231-2.

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Franci, Alessandro. Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-45662-1.

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Vernon, Thomas A. Finite element formulations for coupled fluid/structure eigenvalue analysis / Thomas A. Vernon. Defence Research Establishment Atlantic, 1989.

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Graglia, Roberto D., Giuseppe Pelosi, and Stefano Selleri, eds. International Workshop on Finite Elements for Microwave Engineering. Firenze University Press, 2016. http://dx.doi.org/10.36253/978-88-6655-968-9.

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When Courant prepared the text of his 1942 address to the American Mathematical Society for publication, he added a two-page Appendix to illustrate how the variational methods first described by Lord Rayleigh could be put to wider use in potential theory. Choosing piecewise-linear approximants on a set of triangles which he called elements, he dashed off a couple of two-dimensional examples and the finite element method was born. … Finite element activity in electrical engineering began in earnest about 1968-1969. A paper on waveguide analysis was published in Alta Frequenza in early 1969, giving the details of a finite element formulation of the classical hollow waveguide problem. It was followed by a rapid succession of papers on magnetic fields in saturable materials, dielectric loaded waveguides, and other well-known boundary value problems of electromagnetics. … In the decade of the eighties, finite element methods spread quickly. In several technical areas, they assumed a dominant role in field problems. P.P. Silvester, San Miniato (PI), Italy, 1992 Early in the nineties the International Workshop on Finite Elements for Microwave Engineering started. This volume contains the history of the Workshop and the Proceedings of the 13th edition, Florence (Italy), 2016 . The 14th Workshop will be in Cartagena (Colombia), 2018.
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Wriggers, Peter, and Paolo de Mattos Pimenta. New Trends in Thin Structures : Formulation, Optimization and Coupled Problems: Formulation, Optimization and Coupled Problems. Paolo De Mattos Pimenta, 2012.

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Wriggers, Peter, and Paolo de Mattos Pimenta. New Trends in Thin Structures: Formulation, Optimization and Coupled Problems. Springer, 2010.

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Norouzi, Hamid Reza, Reza Zarghami, Rahmat Sotudeh-Gharebagh, and Navid Mostoufi. Coupled CFD-DEM Modeling: Formulation, Implementation and Application to Multiphase Flows. Wiley & Sons, Incorporated, John, 2016.

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Franci, Alessandro. Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM. Springer, 2018.

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Franci, Alessandro. Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM. Springer, 2016.

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Book chapters on the topic "Coupled formulation"

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Franci, Alessandro. "Coupled Thermal–Mechanical Formulation." In Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45662-1_5.

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Nielsen, C. V., W. Zhang, L. M. Alves, N. Bay, and P. A. F. Martins. "Coupled Finite Element Flow Formulation." In Modeling of Thermo-Electro-Mechanical Manufacturing Processes. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-4643-8_3.

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Starc, Blaž, Gregor Čepon, and Miha Boltežar. "An Integration of Mixed Contact Formulation with Model-Reduction Techniques." In Dynamics of Coupled Structures, Volume 4. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-54930-9_5.

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Wang, X. Q., and Marc P. Mignolet. "Stochastic Iwan-Type Model of a Bolted Joint: Formulation and Identification." In Dynamics of Coupled Structures, Volume 1. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04501-6_44.

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Wagner, W., K. Schulz, and S. Klinkel. "An Electro-mechanically Coupled FE-Formulation for Piezoelectric Shells." In Recent Developments and Innovative Applications in Computational Mechanics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17484-1_14.

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Franci, Alessandro. "Unified Formulation for FSI Problems." In Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45662-1_4.

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Nguyen, Sung-Lam, Omar Saifouni, and Jean-François Destrebecq. "Incremental Formulation for Coupled Viscoelasticity and Hydrolock Effect in Softwood." In Conference Proceedings of the Society for Experimental Mechanics Series. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-21762-8_45.

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Allix, O., and C. Dupleix-Couderc. "A plate theory as a mean to compute precise 3D solutions including edge effects and related issues." In New Trends in Thin Structures: Formulation, Optimization and Coupled Problems. Springer Vienna, 2010. http://dx.doi.org/10.1007/978-3-7091-0231-2_1.

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Pimenta, Paulo M., Edgard S. Almeida Neto, and Eduardo M. B. Campello. "A Fully Nonlinear Thin Shell Model of Kirchhoff-Love Type." In New Trends in Thin Structures: Formulation, Optimization and Coupled Problems. Springer Vienna, 2010. http://dx.doi.org/10.1007/978-3-7091-0231-2_2.

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Artioli, Edoardo, Ferdinando Auricchio, and Robert L. Taylor. "A Beam Finite Element for Nonlinear Analysis of Shape Memory Alloy Devices." In New Trends in Thin Structures: Formulation, Optimization and Coupled Problems. Springer Vienna, 2010. http://dx.doi.org/10.1007/978-3-7091-0231-2_3.

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Conference papers on the topic "Coupled formulation"

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Hussein, Bassam A., Hiroyuki Sugiyama, and Ahmed A. Shabana. "Absolute Nodal Coordinate Formulation Coupled Deformation Modes." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13826.

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The finite element absolute nodal coordinate formulation (ANCF) leads to beam and plate models that relax the assumption of the classical Euler-bernoulli and Timoshenko beam and Mindlin plate theories. In these more general models, the cross section is allowed to deform and it is no longer treated as a rigid surface. The coupling between the bending and cross section deformations leads to the new ANCF-coupled deformation modes that are examined in this study. While these coupled deformation can be source of numerical and convergence problems when thin and stiff beam models are considered, the inclusion of the effect of these modes in the dynamic model is necessary in the case of very flexible structures. In order to examine the effect of these coupled deformation modes in this investigation, three different large deformation dynamic beam models are discussed. Two of these models, which differ in the way the beam elastic forces are calculated in the absolute nodal coordinate formulation, allow for systematically eliminating the coupled deformation modes, while the third allows for including these modes. The first of these models is based on a general continuum mechanics approach that leads to a model that includes the ANCF-coupled deformation modes; while the second and third methods that can be used to eliminate the coupled deformation modes are based on the elastic line approach and the Hellinger-Reissner principle. It is shown in this study that the inclusion of the ANCF-coupled deformation modes introduces geometric stiffening effects that can not be captured using other finite element models.
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Shimada, T., K. Nishiguchi, C. Peco, S. Okazawa, and M. Tsubokura. "Eulerian Formulation Using Lagrangian Marker Particles with Reference Map Technique for Fluid-structure Interaction Problem." In 9th edition of the International Conference on Computational Methods for Coupled Problems in Science and Engineering. CIMNE, 2021. http://dx.doi.org/10.23967/coupled.2021.025.

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Suarez, Almudena, Sergio Sancho, and Franco Ramirez. "Explicit formulation for injection-locked coupled-oscillator systems." In 2013 IEEE/MTT-S International Microwave Symposium - MTT 2013. IEEE, 2013. http://dx.doi.org/10.1109/mwsym.2013.6697610.

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Castelletto, N., H. Hajibeygi, and H. A. Tchelepi. "Hybrid Multiscale Formulation for Coupled Flow and Geomechanics." In ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery. EAGE Publications BV, 2016. http://dx.doi.org/10.3997/2214-4609.201601888.

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Bhaskar, H. "Coastline detection using coupled variational level-set formulation." In 4th International Conference on Imaging for Crime Detection and Prevention 2011 (ICDP 2011). IET, 2011. http://dx.doi.org/10.1049/ic.2011.0107.

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Voyiadjis, George Z., and Robert J. Dorgan. "Formulation of a Gradient Enhanced Coupled Damage-Plasticity Model." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59890.

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An overview of the formulation of a gradient enhanced continuum coupled damage-plasticity model as a constitutive framework to model the nonlocal response of materials is presented. The formulation uses a thermodynamically consistent framework to introduce material length scales through the gradients of the hardening variables. The development of evolution equations for plasticity and damage is treated in a similar mathematical approach and formulation since both address defects such as dislocations for the former and cracks/voids for the later. The gradient enhancements are investigated as powerful tools for modeling observations at the microscale that are not possible to interpret with classical deformation models. By the introduction of higher order gradients, this model is able to predict the size of localized zones based on material constants, as opposed to local models where the loss of ellipticity causes the localized zones to be mesh dependent. Justification for the gradient theory is given by approximating nonlocal theory through a truncated Taylor expansion.
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Kumbhar, G. B., and Satish M. Mahajan. "Field-circuit coupled formulation of transient phenomena in current transformers." In Energy Society General Meeting (PES). IEEE, 2009. http://dx.doi.org/10.1109/pes.2009.5275345.

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Abouheaf, Mohammed I., Frank L. Lewis, and Magdi S. Mahmoud. "Differential graphical games: Policy iteration solutions and coupled Riccati formulation." In 2014 European Control Conference (ECC). IEEE, 2014. http://dx.doi.org/10.1109/ecc.2014.6862473.

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Wallmersperger, Thomas, Bernd Kroeplin, Jens Holdenried, and Rainer W. Guelch. "Coupled multifield formulation for ionic polymer gels in electric fields." In SPIE's 8th Annual International Symposium on Smart Structures and Materials, edited by Yoseph Bar-Cohen. SPIE, 2001. http://dx.doi.org/10.1117/12.432655.

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Venkatakrishnan, C., B. Fallahi, and H. Y. Lai. "Full Beam Formulation for Coupled Elastic and Rigid Body Motion." In ASME 1991 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/cie1991-0110.

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Abstract The need for higher operating speeds has led to the study of flexibility in mechanisms. In most of the previous works, rotary inertia, normal, tangential and coriolis terms are neglected. These assumptions are valid at lower speeds and for slender links. In this paper, a procedure to include all inertia terms in a local moving coordinate system is introduced. It is shown that the inertia terms lead to the introduction of three element matrices in the finite element formulation. The proposed approach is used to model the rotating beam problem. The results of a numerical solution is reported and validated.
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Reports on the topic "Coupled formulation"

1

Harbour, J. R., and M. K. Andrews. Glass formulation requirements for DWPF coupled operations using crystalline silicotitanates. Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/491474.

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Andrews, M. K., and J. R. Harbour. Glass formulation requirements for Hanford coupled operations using crystalline silicotitanates (CST). Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/554132.

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Cauble, R., and W. Rozmus. Analytic formulation for the ac electrical conductivity in two- temperature, strongly coupled, overdense plasma: FORTRAN subroutine. Office of Scientific and Technical Information (OSTI), 1993. http://dx.doi.org/10.2172/10139521.

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Kogan, Yefim L., and David B. Mechem. Improvement of the Cloud Physics Formulation in the U.S. Navy Coupled Ocean-Atmosphere Mesoscale Prediction System (COAMPS). Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada612020.

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Kogan, Yefim L., and David B. Mechem. Improvement of the Cloud Physics Formulation in the U.S. Navy Coupled Ocean-Atmosphere Mesoscale Prediction System (COAMPS). Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada541261.

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Andrews, M. K., and P. J. Workman. Glass formulation development and testing for the vitrification of DWPF HLW sludge coupled with crystalline silicotitanate (CST). Office of Scientific and Technical Information (OSTI), 1997. http://dx.doi.org/10.2172/564994.

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Kogan, Yefim L., and David B. Mechem. Improvement of the Cloud Physics Formulation in the U.S. Navy Coupled Ocean-Atmosphere Mesoscale Prediction System (COAMPS). Defense Technical Information Center, 2003. http://dx.doi.org/10.21236/ada629990.

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Salloum, Maher, Andrew Shugard, Michael Kanouff, and Patricia Gharagozloo. A coupled transport and solid mechanics formulation with improved reaction kinetics parameters for modeling oxidation and decomposition in a uranium hydride bed. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1095935.

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SCHUNK, P. RANDALL, MICHAEL A. HEROUX, REKHA R. RAO, THOMAS A. BAER, SAMUEL R. SUBIA, and AMY CHA-TIEN SUN. Iterative Solvers and Preconditioners for Fully-Coupled Finite Element Formulations of Incompressible Fluid Mechanics and Related Transport Problems. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/793401.

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