Relevant bibliographies by topics / Lagrange FE

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Lagrange FE'

Author: Grafiati
Published: 25 January 2025
Last updated: 31 July 2025

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Journal articles on the topic "Lagrange FE"

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Arcuş, Constantin M. "Mechanical systems in the generalized Lie algebroids framework." International Journal of Geometric Methods in Modern Physics 11, no. 03 (2014): 1450023. http://dx.doi.org/10.1142/s0219887814500236.

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Mechanical systems, called by use, mechanical (ρ, η)-systems, Lagrange mechanical (ρ, η)-systems or Finsler mechanical (ρ, η)-systems, are presented. The canonical (ρ, η)-semi(spray) associated to a mechanical (ρ, η)-system is obtained. New and important results are obtained in the particular case of Lie algebroids. The Lagrange mechanical (ρ, η)-systems are the spaces necessary to develop a new Lagrangian formalism. We obtain the (ρ, η)-semispray associated to a regular Lagrangian L and external force Fe and we derive the equations of Euler–Lagrange type. So, a new solution for the Weinstein'
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Jia, Cheng, and Hui Hui Chen. "Study of Performance of US-FE-LSPIM QUAD4 Element on Mesh Distortion." Advanced Materials Research 490-495 (March 2012): 3008–12. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.3008.

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This US-FE-LSPIM QUAD4 element is formed by using two different sets of shape functions for the trial and test functions, viz. sets of FE-LSPIM QUAD4 element shape functions and sets of classical isoparametric shape functions. For some test problems, the US-FE-LSPIM QUAD4 element has good accuracy. And by compared with FE-LSPIM QUAD4 element, the proposed element does not need to use Penalty method or Lagrange multiplier method to ensure fulfilment of exact essential boundary condition along the entire length of the edge. This paper further studies the performance of US-FE-LSPIM QUAD4 element
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Ivančo, Vladimír, and Martin Orečný. "Modelling a Liquid Material in Drop Test Simulations of a Cask for Liquid Radioactive Waste." Applied Mechanics and Materials 611 (August 2014): 145–55. http://dx.doi.org/10.4028/www.scientific.net/amm.611.145.

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The aim of this paper is the comparison of different material models for the simulation of fluid impact on a cask for transport of radioactive liquid material. Simulated is a 9 m drop test performed according to International Atomic Energy Agency regulations. In order to reduce computational time, proposed is to model the transported fluid as a hypothetic linearly elastic material. This enables us to use less time demanding FE explicit dynamic analysis based on Lagrange formulation only instead of combination of Lagrange and Euler formulations. Compared are the results obtained for three elast
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Tirvaudey, Marie, Robin Bouclier, Jean-Charles Passieux, and Ludovic Chamoin. "Non-invasive implementation of nonlinear isogeometric analysis in an industrial FE software." Engineering Computations 37, no. 1 (2019): 237–61. http://dx.doi.org/10.1108/ec-03-2019-0108.

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Purpose The purpose of this paper is to further simplify the use of NURBS in industrial environnements. Although isogeometric analysis (IGA) has been the object of intensive studies over the past decade, its massive deployment in industrial analysis still appears quite marginal. This is partly due to its implementation, which is not straightforward with respect to the elementary structure of finite element (FE) codes. This often discourages industrial engineers from adopting isogeometric capabilities in their well-established simulation environment. Design/methodology/approach Based on the con
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Petrolo, M., MH Nagaraj, E. Daneshkhah, R. Augello, and E. Carrera. "Static analysis of thin-walled beams accounting for nonlinearities." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 236, no. 6 (2021): 2967–80. http://dx.doi.org/10.1177/09544062211032997.

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This paper presents numerical results concerning the nonlinear analysis of thin-walled isotropic structures via 1 D structural theories built with the Carrera Unified Formulation (CUF). Both geometrical and material nonlinearities are accounted for, and square, C- and T-shaped beams are considered. The results focus on equilibrium curves, displacement, and stress distributions. Comparisons with literature and 3 D finite elements (FE) are provided to assess the formulation’s accuracy and computational efficiency. It is shown how 1 D models based on Lagrange expansions of the displacement field
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Gruttmann, Friedrich, and Werner Wagner. "Ein neues FE-Modell zur Berechnung von geschichteten Platten mit kontinuierlichen interlaminaren Schubspannungen/A new FE–model for the computation of layered plates with continuous interlaminar transverse shear stresses." Bauingenieur 91, no. 05 (2016): 179–87. http://dx.doi.org/10.37544/0005-6650-2016-05-39.

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In dieser Arbeit werden geschichtete Platten unter statischer Belastung betrachtet. Es wird ein Mehrfeldfunktional vorgeschlagen, dessen zugehörige Euler–Lagrange–Gleichungen neben dem Kräfte– und Momentengleichgewicht der Schnittgrößen lokale Gleichgewichtsbeziehungen in Spannungen liefert. Innerhalb eines finiten Plattenelements mit vier Knoten werden die Verwölbungen mit schichtweisen kubischen Ansatzfunktionen interpoliert. Dies hat zur Folge, dass die interlaminaren Schubspannungen automatisch kontinuierlich und die Spannungsrandbedingungen exakt erfüllt sind. Elimination der Wölb– und La
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Su, Wen Zheng. "Finite Element Formulation for the Vibration Analysis of Couple-Stress Continuum." Applied Mechanics and Materials 367 (August 2013): 156–60. http://dx.doi.org/10.4028/www.scientific.net/amm.367.156.

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This paper proposed a finite element formulation to analysis the vibration of couple-stress continuum. A four-node discrete couple-stress element relaxed the requirement of C1 continuity is developed. This element is modified by a bubble function, based on the classical four-ode Lagrange element. The element includes the internal bending constants and the internal initial moment of rotation. Numerical examples show that the present FE scheme is accurate for the eigenvalue analysis of couple-stress continuum structures, especially for the low order frequency analysis.
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González, Jose A., K. C. Park, and Ramon Abascal. "A Partitioned Formulation for FEM/BEM Coupling in Contact Problems Using Localized Lagrange Multipliers." Key Engineering Materials 618 (July 2014): 23–48. http://dx.doi.org/10.4028/www.scientific.net/kem.618.23.

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This paper presents a state-of-the-art in the use of localized Lagrange multipliers (LLMs)for 3D frictional contact problems coupling the Finite Element Method (FEM) and the BoundaryElement Method (BEM). Resolution methods for the contact problem between non-matching mesheshave traditionally been based on a direct coupling of the contacting solids using classical Lagrangemultipliers. These methods tend to generate strongly coupled systems that require a deep knowledgeof the discretization characteristics on each side of the contact zone complicating the process ofmixing different numerical tec
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Adhikari, Balakrishna, and B. N. Singh. "Buckling Characteristics of Laminated Functionally-Graded CNT-Reinforced Composite Plate under Nonuniform Uniaxial and Biaxial In-Plane Edge Loads." International Journal of Structural Stability and Dynamics 20, no. 02 (2019): 2050022. http://dx.doi.org/10.1142/s0219455420500224.

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In this paper, the buckling response of laminated functionally-graded CNT-reinforced composite (FG-CNTRC) plate structure is predicted under various types of non-uniform edge compression loading. For the finite element (FE) discretization of the plate, a nine degree of freedom (DOFs)-type polynomial-based higher-order shear deformation theory (HSDT) is considered. The application of non-uniform edge load causes the in-plane stress distribution to be non-uniform. Hence, the in-plane stresses need to be evaluated prior to the buckling analysis. These in-plane stresses are calculated using the in
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Feng, Yong, Mu Lan Wang, Bao Sheng Wang, and Jun Ming Hou. "Influence of the Process Variables on the Temperature Distribution in AISI 1045 Turning." Advanced Materials Research 557-559 (July 2012): 1364–68. http://dx.doi.org/10.4028/www.scientific.net/amr.557-559.1364.

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High-speed metal cutting processes can cause extremely rapid heating of the work material. Temperature on the machined surface is critical for surface integrity and the performance of a precision component. However, the temperature of a machined surface is challenging for in-situ measurement.So, the finite element(FE) method used to analyze the unique nonlinear problems during cutting process. In terms of heat-force coupled problem, the thermo-plastic FE model was proposed to predict the cutting temperature distribution using separated iterative method. Several key techniques such as material
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Dissertations / Theses on the topic "Lagrange FE"

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Mouhcine, Houda. "Formal Proofs in Applied Mathematics : A Coq Formalization of Simplicial Lagrange Finite Elements." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASG112.

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Cette thèse est dédiée au développement de preuves formelles de théorèmes et propositions mathématiques dans le domaine de l'analyse réelle, en utilisant l'assistant de preuve Coq pour garantir leur exactitude. Le cœur de ce travail est divisé en deux parties principales.La première partie se concentre sur l'utilisation de Coq pour formaliser des principes mathématiques clés tels que le principe d'induction de Lebesgue et le théorème de Tonelli, permettant le calcul d'intégrales doubles sur des espaces produits en intégrant de manière itérative par rapport à chaque variable. Ce travail s'appui
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Conference papers on the topic "Lagrange FE"

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Wang, Xiaoyun, and James K. Mills. "Substructuring Dynamic Modeling and Active Vibration Control of a Smart Parallel Platform." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-60411.

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A substructuring approach to derive dynamic models for closed-loop mechanisms is applied to model a flexible-link planar parallel platform with Lead Zirconate Titanate (PZT) transducers. The Lagrangian Finite Element (FE) formulation is used to model flexible linkages, in which translational and rotary degrees of freedom exist. Craig-Bampton mode sets are extracted from these FE models and then used to assemble the dynamic model of the planar parallel platform through the application of Lagrange’s equation and the Lagrange multiplier method. Electromechanical coupling models of surface-bonded
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Hiermaier, Stefan, and Martin Sauer. "Adaptive FE-Meshfree-Modelling for Impacts of Liquid Filled Vessels on Thin Walled Structures." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-55189.

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A principal approach to simulate the airplane impact and the collapse of World Trade Center North Tower has been shown by Quan and Birnbaum [4]. Using the general purpose hydrocode AUTODYN the impact damage, fire induced strength reduction and progressive collapse were investigated. Both for the fuel propagation after tank break up and the thermodynamic burn processes assumptions have been taken. It is the aim of this paper to focus on the numerical aspects of simulating the fluid propagation after vessel break up. The release of a fluid out of a broken vessel after impact is not easily repres
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Gröger, B. "Modeling approaches for the decomposition behavior of preconsolidated rovings throughout local deformation processes." In Sheet Metal 2025. Materials Research Forum LLC, 2025. https://doi.org/10.21741/9781644903551-33.

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Abstract. This paper investigates two modeling approaches for the simulation of the deformation and decomposition behavior of preconsolidated rovings above the thermoplastic matrix’ melting temperature. This is crucial for capturing the local material structure after processes introducing highly localized deformation such as mechanical joining processes between metal and fiber reinforced thermoplastics (FRTP). A generic finite element (FE) model is developed, incorporating interfaces discretized through either cohesive zone (CZ) elements or Coulomb friction-based contacts. The material paramet
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Saghafi, Mehdi, and Harry Dankowicz. "Nondegenerate Continuation Problems for the Excitation Response of Nonlinear Beam Structures." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13115.

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This paper investigates the dynamics of a slender beam subjected to transverse periodic excitation. Of particular interest is the formulation of nondegenerate continuation problems that may be analyzed numerically, in order to explore the parameter-dependence of the steady-state excitation response, while accounting for geometric nonlinearities. Several candidate formulations are presented, including finite-difference (FD) and finite-element (FE) discretizations of the governing scalar, integro-partial differential boundary-value problem (BVP), as well as of a corresponding first-order-in-spac
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Carrera, E., A. Pagani, and M. Petrolo. "Static and Dynamic Analysis of Aircraft Structures by Component-Wise Approach." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-63600.

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This paper proposes an advanced approach to the analysis of reinforced-shell aircraft structures. This approach, denoted as Component-Wise (CW), is developed by using the Carrera Unified Formulation (CUF). CUF is a hierarchical formulation allowing for the straightforward implementation of any-order one-dimensional (1D) beam theories. Lagrange-like polynomials are used to discretize the displacement field on the cross-section of each component of the structure. Depending on the geometrical and material characteristics of the component, the capabilities of the model can be enhanced and the comp
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Aguirre-Rivas, Donovan A., and Karim H. Muci-Küchler. "Higher Order Finite Elements for the Accurate Prediction of Temperature Gradients in Heat Conduction Problems." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-39948.

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When the Finite Element Method (FEM) is used to solve heat conduction problems in solids, the domain is typically discretized using elements that only include the nodal values of the temperature as Degrees of Freedom (DOFs). If the values of the spatial temperature gradients are needed, they are typically computed by differentiating the functional representation for the temperature inside the elements. Unfortunately, this differentiation process usually leads to less accurate results for the temperature gradients as compared to the temperature values. For elliptic problems, like steady state h
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Masi, Enrica, Benoiˆt Be´dat, Mathieu Moreau, and Olivier Simonin. "Euler-Euler Large-Eddy Simulation Approach for Non Isothermal Particle-Laden Turbulent Jet." In ASME 2008 Fluids Engineering Division Summer Meeting collocated with the Heat Transfer, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/fedsm2008-55143.

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This paper presents an Euler-Euler Large-Eddy Simulation (LES) approach for the numerical modeling of non isothermal dispersed turbulent two-phase flows. The proposed approach is presented and validated by a priori tests from an Euler-Lagrange database, provided using discrete particle simulation (DPS) of the particle phase coupled with direct numerical simulation (DNS) of the turbulent carrier flow, in a non isothermal particle-laden temporal jet configuration. A statistical approach, the Mesoscopic Eulerian Formalism (MEF) [Fe´vrier et al., J. Fluid Mech., 2005, vol. 533, pp. 1–46], is used
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Guarnera, Daniele, Enrico Zappino, Alfonso Pagani, and Erasmo Carrera. "Finite Element Models of One Dimensional Flows With Node-Dependent Accuracy." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-86852.

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The formulation of simplified models in the description of flow fields can be highly interesting in many complex network such as the circulatory system. This work presents a refined one-dimensional finite element model with node-dependent kinematics applied to incompressible and laminar flows. In the framework of 1D-FE modelling, this methodology is a new development of the Carrera Unified Formulation (CUF), which is largely employed in structural mechanics. According to the CUF, the weak formulation of the Stokes problem is expressed in terms of fundamental nuclei and, in this novel implement
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Almeida, P., C. Gibert, F. Thouverez, and J. P. Ousty. "Numerical Analysis of Bladed Disk-Casing Contact With Friction and Wear." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-43435.

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In order to increase the aerodynamic performances of their engines, aircraft engine manufacturers try to minimize the clearance between rotating and stationary parts in axial and centrifugal compressors. Consequently, the probability of contact increases, leading to undesirable phenomena caused by forced excitation of the natural modes, or by modal interaction. Due to the complexity of these phenomena, many numerical studies have been conducted to gain a better understanding of the physics associated with them, looking primarily at their respective influence on potential unstable behaviors. Ho
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Azzara, Rodolfo, Erasmo Carrera, and Alfonso Pagani. "Nonlinear Vibration Correlation and Buckling Analysis of Flat Plates and Shells." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-69580.

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Abstract The employment of nondestructive techniques in aerospace industries is rising thanks to advances in technologies and analysis. This part of the aerospace testing industry is essential to design and validate the new structures’ methodology and safety. Therefore, robust and reliable nondestructive methods have been extensively studied for decades in order to reduce safety problems and maintenance cost. One of the most important and employed nondestructive methods to compute large-scale aerospace structures’ critical buckling load is the Vibration Correlation Technique (VCT). This method
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