Relevant bibliographies by topics / Principle of maximum dissipation rate

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  2. Dissertations / Theses
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Academic literature on the topic 'Principle of maximum dissipation rate'

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Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Principle of maximum dissipation rate"

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Fischer, F. D., and J. Svoboda. "A Note on the Principle of Maximum Dissipation Rate." Journal of Applied Mechanics 74, no. 5 (December 28, 2006): 923–26. http://dx.doi.org/10.1115/1.2722304.

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The Principle of Maximum Dissipation Rate (PMD) can be exploited to derive homogeneous kinetic rate laws for the internal variables. A “normality structure” expressing the rates of the internal variables as normal to convex functions (entropy production rate, dissipation function as flow potentials) in the space of the conjugate thermodynamic forces is a direct consequence of the PMD. This paper can be considered as a note to Yang et al., 2005, ASME J. Appl. Mech., 72, pp. 322–329.
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Slepyan, L. I. "Principle of maximum energy dissipation rate in crack dynamics." Journal of the Mechanics and Physics of Solids 41, no. 6 (June 1993): 1019–33. http://dx.doi.org/10.1016/0022-5096(93)90053-i.

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Chiarelli, Piero. "Far from Equilibrium Maximal Principle Leading to Matter Self-Organization." JOURNAL OF ADVANCES IN CHEMISTRY 5, no. 3 (December 2, 2009): 753–83. http://dx.doi.org/10.24297/jac.v5i3.2664.

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In this work an extremal principle driving the far from equilibrium evolution of a system of structureless particles is derived by using the stochastic quantum hydrodynamic analogy. For a classical phase (i.e., the quantum correlations decay on a distance smaller than the mean inter-molecular distance) the far from equilibrium kinetic equation can be cast in the form of a Fokker-Plank equation whose phase space velocity vector maximizes the dissipation of the energy-type function, named here, stochastic free energy.Near equilibrium the maximum stochastic free energy dissipation (SFED) is shown to be compatible with the Prigogine’s principle of minimum entropy production. Moreover, in quasi-isothermal far from equilibrium states, the theory shows that, in the case of elastic molecular collisions and in absence of chemical reactions, the maximum SFED reduces to the maximum free energy dissipation.When chemical reactions or relevant thermal gradients are present, the theory highlights that the Sawada enunciation of maximum free energy dissipation can be violated.The proposed model depicts the Prigogine’s principle of minimum entropy production near-equilibrium and the far from equilibrium Sawada’s principle of maximum energy dissipation as two complementary principia of a unique theory where the latter one is a particular case of the more general one of maximum stochastic free energy dissipation.Following the tendency to reach the highest rate of SFED, a system relaxing to equilibrium goes through states with higher order so that the matter self-organization becomes possible.
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Roubíček, Tomáš, Christos G. Panagiotopoulos, and Vladislav Mantič. "Local-solution approach to quasistatic rate-independent mixed-mode delamination." Mathematical Models and Methods in Applied Sciences 25, no. 07 (April 14, 2015): 1337–64. http://dx.doi.org/10.1142/s0218202515500347.

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The model of quasistatic rate-independent evolution of a delamination at small strains in the so-called mixed mode, i.e. distinguishing opening (Mode I) from shearing (Mode II), devised in [Delamination and adhesive contact models and their mathematical analysis and numerical treatment, Chap. 9, in Mathematical Methods and Models in Composites, ed. V. Mantič (Imperial College Press, 2014), pp. 349–400; and in Quasistatic mixed-mode delamination model, Discrete Contin. Dynam. Syst. Ser. S 6 (2013) 591–610], is rigorously analyzed in the context of a concept of stress-driven local solutions. The model has separately convex stored energy and is associative, namely the one-homogeneous potential of dissipative forces driving the delamination depends only on rates of internal parameters. An efficient fractional-step-type semi-implicit discretization in time is shown to converge to (specific, stress-driven like) local solutions that may approximately obey the maximum-dissipation principle. Making still a spatial discretization, this convergence as well as relevancy of such solution concept are demonstrated on a nontrivial two-dimensional example.
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Borino, G., P. Fuschi, and C. Polizzotto. "A Thermodynamic Approach to Nonlocal Plasticity and Related Variational Principles." Journal of Applied Mechanics 66, no. 4 (December 1, 1999): 952–63. http://dx.doi.org/10.1115/1.2791804.

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Elastic-plastic rate-independent materials with isotropic hardening/softening of nonlocal nature are considered in the context of small displacements and strains. A suitable thermodynamic framework is envisaged as a basis of a nonlocal associative plasticity theory in which the plastic yielding laws comply with a (nonlocal) maximum intrinsic dissipation theorem. Additionally, the rate response problem for a (continuous) set of (macroscopic) material particles, subjected to a given total strain rate field, is discussed and shown to be characterized by a minimum principle in terms of plastic coefficient. This coefficient and the relevant continuum tangent stiffness matrix are shown to admit, in the region of active plastic yielding, some specific series representations. Finally, the structural rate response problem for assigned load rates is studied in relation to the solution uniqueness, and two variational principles are provided for this boundary value problem.
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Salwén, Anders. "Computer simulation of the long-range diffusional transformation based on the postulated principle of maximum dissipation rate of Gibbs energy." Zeitschrift für Metallkunde 93, no. 6 (June 2002): 508–15. http://dx.doi.org/10.3139/146.020508.

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Moffatt, H. K., S. Kida, and K. Ohkitani. "Stretched vortices – the sinews of turbulence; large-Reynolds-number asymptotics." Journal of Fluid Mechanics 259 (January 25, 1994): 241–64. http://dx.doi.org/10.1017/s002211209400011x.

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A large-Reynolds-number asymptotic theory is presented for the problem of a vortex tube of finite circulation [Gcy ] subjected to uniform non-axisymmetric irrotational strain, and aligned along an axis of positive rate of strain. It is shown that at leading order the vorticity field is determined by a solvability condition at first-order in ε = 1/R[Gcy ] where R[gcy ] = [gcy ]/ν. The first-order problem is solved completely, and contours of constant rate of energy dissipation are obtained and compared with the family of contour maps obtained in a previous numerical study of the problem. It is found that the region of large dissipation does not overlap the region of large enstrophy; in fact, the dissipation rate is maximal at a distance from the vortex axis at which the enstrophy has fallen to only 2.8% of its maximum value. The correlation between enstrophy and dissipation fields is found to be 0.19 + O(ε2). The solution reveals that the stretched vortex can survive for a long time even when two of the principal rates of strain are positive, provided R[gcy ] is large enough. The manner in which the theory may be extended to higher orders in ε is indicated. The results are discussed in relation to the high-vorticity regions (here described as ‘sinews’) observed in many direct numerical simulations of turbulence.
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Mahulikar, Shripad P, Tapan K Sengupta, Nidhi Sharma, and Pallavi Rastogi. "Thermodynamic Merger of Fluctuation Theorem and Principle of Least Action: Case of Rayleigh–Taylor Instability." Journal of Non-Equilibrium Thermodynamics 44, no. 4 (October 25, 2019): 363–71. http://dx.doi.org/10.1515/jnet-2018-0091.

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AbstractEntropy fluctuations with time occur in finite-sized time-evolving dissipative systems. There is a need to comprehend the role of these fluctuations on the fluctuations-averaged entropy generation rate, over a large enough observation time interval. In this non-equilibrium thermodynamic investigation, the Fluctuation Theorem (FT) and Principle of Least Action are re-visited to articulate their implications for dissipative systems. The Principle of Maximum Entropy Production (MaxEP: the entropy generation rate of a dissipative system is maximized by paths of least action) is conceptually identified as the Principle of Least Action for dissipative systems. A Thermodynamic Fusion Theorem that merges the FT and the MaxEP is introduced for addressing the role of fluctuations in entropy production. It identifies “entropy fluctuations” as the “least-action path” for maximizing the time-averaged entropy production in a dissipative system. The validity of this introduced theorem is demonstrated for the case of entropy fluctuations in Rayleigh–Taylor flow instability.
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Kostoglotov, Andrey A., Anton S. Penkov, and Sergey V. Lazarenko. "Method for the Synthesis of Adaptive Algorithms for Estimating the Parameters of Dynamic Systems Based on the Decomposition Principle and the Joint Maximum Methodology." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 4 (208) (December 23, 2020): 22–28. http://dx.doi.org/10.18522/1026-2237-2020-4-22-28.

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A method of synthesis of a filter for estimating the state of dynamic systems of Kalman type with an adaptive model built on the basis of the principle of decomposition of the system using kinematic relations from the condition of constancy of motion invariants has been developed. The structure of the model is determined from the condition of the maximum function of the generalized power up to a nonlinear synthesizing function that determines the rate of dissipation and, accordingly, the degree of structural adaptation. The resulting model has an explicit relation with the gradient of the estimation error functional, which makes it possible to adapt to the intensity of regular and random influences and can be used to construct a filter for estimating the state of the Kalman structure. On the basis of the developed method, a discrete algorithm is obtained and its comparative analysis with the classical Kalman filter is carried out.
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IDO, Yasushi, and Takahiko TANAHASHI. "Determination of Constitutive Equations for Magnetic Fluids Using the Theory of Integrity Bases and the Principle of Maximal Dissipation Rate." JSME international journal. Ser. 2, Fluids engineering, heat transfer, power, combustion, thermophysical properties 33, no. 3 (1990): 468–75. http://dx.doi.org/10.1299/jsmeb1988.33.3_468.

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Dissertations / Theses on the topic "Principle of maximum dissipation rate"

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Ko, Min Seok. "The use of maximum rate of dissipation criterion to model beams with internal dissipation." Thesis, Texas A&M University, 2004. http://hdl.handle.net/1969.1/495.

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This thesis deals with a systematic procedure for the derivation of exact expression for the frequency equation of composite beams undergoing forced vibration with damping. The governing differential equations of motion of the composite beam are derived analytically for bending and shear deformation. The basic equations of Timoshenko beam theory and assumption of maximum rate of dissipation are employed. The principle involved is that of vibration energy dissipation due to damping as a result of deformation of materials in sandwich beam. The boundary conditions for displacements and forces for the cantilever beam are imposed and the frequency equation is obtained. The expressions for the amplitude of displacements are also derived in explicit analytical form. Numerical results of the displacement amplitude in cantilever sandwich beam varying with damping coefficient are evaluated.
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Pröchtel, Patrick. "Anisotrope Schädigungsmodellierung von Beton mit Adaptiver Bruchenergetischer Regularisierung." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1224751435667-29771.

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Der Gegenstand der vorliegenden Arbeit ist die Simulation von Betonstrukturen beliebiger Geometrie unter überwiegender Zugbelastung. Die Modellierung erfolgt auf Makroebene als Kontinuum und zur Lösung des mechanischen Feldproblems wird die Finite-Elemente-Methode verwendet. Ein neues Materialmodell für Beton und eine Erweiterung der Bruchenergetischen Regularisierung werden vorgestellt. Die Arbeit ist in zwei Teile gegliedert. Im ersten Teil wird ein lokales, anisotropes Schädigungsmodell abgeleitet, wobei als Schädigungsvariable ein symmetrischer Tensor zweiter Stufe gewählt wird. Die Verwendung einer Normalenregel im Raum der dissipativen Kräfte zur Bestimmung der Schädigungsevolution und die Definition der Schädigungsgrenzflächen im Raum der dissipativen Kräfte gewährleisten die Gültigkeit der Hauptsätze der Thermodynamik und des Prinzips der maximalen Dissipationsrate. Vorteilhaft ist die Symmetrie der Materialtangente, die sich aus diesem Vorgehen ergibt. Eine Formulierung mit drei entkoppelten Schädigungsgrenzflächen wird vorgeschlagen. Eine wichtige Forderung bei der Ableitung des Materialmodells war die Verwendung einer möglichst geringen Anzahl von Materialparametern, welche darüber hinaus aus wenigen Standardversuchen bestimmbar sein sollten. Das Schädigungsmodell enthält als Materialparameter den Elastizitätsmodul, die Querdehnzahl, die Zugfestigkeit und die auf eine Einheitsfläche bezogene Bruchenergie. Im zweiten Teil der Arbeit stehen Lokalisierung und Regularisierung im Fokus der Betrachtungen. Aufgrund der lokalen Formulierung des Materialmodells tritt bei Finite-Elemente Simulationen eine Netzabhängigkeit der Simulationsergebnisse auf. Um dieser Problematik zu begegnen und netzunabhängige Simulationen zu erreichen, werden Regularisierungstechniken angewendet. In dieser Arbeit wird die Bruchenergetische Regularisierung eingesetzt, die durch die Einführung einer äquivalenten Breite in ein lokal formuliertes Stoffgesetz gekennzeichnet ist. Die spezielle Wahl eines Wertes für die äquivalente Breite beruht auf der Forderung, dass in der Simulation die korrekte Bruchenergie je Einheitsfläche für den Bruchprozess verbraucht wird, d.h. die Energiedissipation der Realität entspricht. In vorliegender Arbeit wird die neue These aufgestellt, dass die Energiedissipation nur für den Fall korrekt abgebildet wird, wenn die im Stoffgesetz enthaltene äquivalente Breite in jedem Belastungsinkrement der Breite des Bereiches entspricht, in dem in der Simulation Energie dissipiert wird. In einer Simulation wird in den Bereichen Energie dissipiert, in denen die Schädigung im aktuellen Belastungsinkrement zunimmt. In vorliegender Arbeit werden die energiedissipierenden Bereiche daher als Pfad der Schädigungsrate bezeichnet. Um Erkenntnisse über die Entwicklung des Pfades der Schädigungsrate über den Belastungsverlauf zu erhalten, wurden umfangreiche Untersuchungen anhand von Simulationen eines beidseitig gekerbten Betonprobekörpers unter kombinierter Zug-Schubbeanspruchung durchgeführt, wobei die gewählten Werte für die äquivalente Breite variiert wurden. Es wurde stets eine Diskretisierung mit linearen Verschiebungselementen verwendet, wobei die Bereiche mit zu erwartender Schädigung feiner und regelmäßig mit Elementen quadratischer Geometrie diskretisiert wurden. Die Ergebnisse der Untersuchungen zeigen, dass die Breite des Pfades der Schädigungsrate abhängig ist von der Schädigung am betrachteten Materialpunkt, dem von Schädigungsrichtung und Elementkante eingeschlossenen Winkel, der Elementgröße und den Materialparametern. Um die geforderte Übereinstimmung von äquivalenter Breite und der Breite des Pfades der Schädigungsrate zu erreichen, werden neue Ansätze für die äquivalente Breite vorgeschlagen, die die erwähnten Einflüsse berücksichtigen. Simulationen unter Verwendung der neuen Ansätze für die äquivalente Breite führen zu einer guten Übereinstimmung von äquivalenter Breite und der Breite des Pfades der Schädigungsrate in der Simulation. Die Ergebnisse der Simulationen, wie z.B. Last-Verformungsbeziehung und Rissverläufe, sind netzunabhängig und stimmen gut mit den experimentellen Beobachtungen überein. Basierend auf den gewonnenen Erkenntnissen wird eine Erweiterung der Bruchenergetischen Regularisierung vorgeschlagen: die Adaptive Bruchenergetische Regularisierung. Im abschließenden Kapitel der Arbeit werden mit der vorgeschlagenen Theorie, dem neuen Schädigungsmodell und der Adaptiven Bruchenergetischen Regularisierung, noch zwei in der Literatur gut dokumentierte Versuche simuliert. Die Simulationsergebnisse entsprechen den experimentellen Beobachtungen
This doctoral thesis deals with the simulation of predominantly tensile loaded plain concrete structures. Concrete is modeled on the macro level and the Finite Element Method is applied to solve the resulting mechanical field problem. A new material model for concrete based on continuum damage mechanics and an extended regularization technique based on the fracture energy approach are presented. The thesis is subdivided into two parts. In the first part, a local, anisotropic damage model for concrete is derived. This model uses a symmetric second-order tensor as the damage variable, which enables the simulation of orthotropic degradation. The validity of the first and the second law of thermodynamics as well as the validity of the principle of maximum dissipation rate are required. Using a normal rule in the space of the dissipative forces, which are the thermodynamically conjugated variables to the damage variables, and the definition of the loading functions in the space of the dissipative forces guarantee their validity. The suggested formulation contains three decoupled loading functions. A further requirement in the derivation of the model was the minimization of the number of material parameters, which should be determined by a small number of standard experiments. The material parameters of the new damage model are the Young’s modulus, the Poisson’s ratio, the tensile strength and the fracture energy per unit area. The second part of the work focuses on localization and regularization. If a Finite Element simulation is performed using a local material model for concrete, the results of the Finite Element simulation are mesh-dependent. To attain mesh-independent simulations, a regularization technique must be applied. The fracture energy approach, which is characterized by introducing a characteristic length in a locally formulated material model, is used as regularization technique in this work. The choice of a value for the characteristic length is founded by the requirement, that the fracture energy per unit area, which is consumed for the fracture process in the simulation, must be the same as in experiment, i.e. the energy dissipation must be correct. In this dissertation, the new idea is suggested that the correct energy dissipation can be only attained if the characteristic length in the material model coincides in every loading increment with the width of the energy-dissipating zone in the simulation. The energy-dissipating zone in a simulation is formed by the integration points with increasing damage and obtains the name: damage rate path. Detailed investigations based on simulations of a double-edge notched specimen under mixed-mode loading are performed with varying characteristic lengths in order to obtain information concerning the evolution of the damage rate path during a simulation. All simulations were performed using displacement-based elements with four nodes. The range with expected damage was always finer and regularly discretized. The results of the simulations show that the width of the damage rate path depends on the damage at the specific material point, on the angle between damage direction and element edges, on the element size and on the material parameters. Based on these observations, new approaches for the characteristic length are suggested in order to attain the coincidence of the characteristic length with the width of the damage rate path. Simulations by using the new approaches yield a sufficient coincidence of the characteristic length with the width of the damage rate path. The simulations are mesh-independent and the results of the simulation, like load-displacement curves or crack paths, correspond to the experimental results. Based on all new information concerning the regularization technique, an extension of the fracture energy approach is suggested: the adaptive fracture energy approach. The validity and applicability of the suggested theory, the new anisotropic damage model and the adaptive fracture energy approach, are verified in the final chapter of the work with simulations of two additional experiments, which are well documented in the literature. The results of the simulations correspond to the observations in the experiments
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Junker, Philipp [Verfasser], Klaus [Gutachter] Hackl, and Alexander [Gutachter] Hartmaier. "Simulation of shape memory alloys : material modeling using the principle of maximum dissipation / Philipp Junker ; Gutachter: Klaus Hackl, Alexander Hartmaier ; Fakultät für Maschinenbau." Bochum : Ruhr-Universität Bochum, 2012. http://d-nb.info/1226426360/34.

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Tang, Yangzhong. "Calculating limits to productivity in reactor-separator systems of arbitrary design." Columbus, Ohio : Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1132766319.

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Books on the topic "Principle of maximum dissipation rate"

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Moroz, Adam. Common Extremalities in Biology and Physics: Maximum Energy Dissipation Principle in Chemistry, Biology, Physics and Evolution. Elsevier Science & Technology Books, 2011.

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Moroz, Adam. The Common Extremalities in Biology and Physics: Maximum Energy Dissipation Principle in Chemistry, Biology, Physics and Evolution. Elsevier, 2011.

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Book chapters on the topic "Principle of maximum dissipation rate"

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Di Natale, Michele. "Maximum Entropy Principle And Energy Dissipation Through Permeable Breakwaters." In Entropy and Energy Dissipation in Water Resources, 367–75. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2430-0_20.

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Hall, Richard B. "Viscoelastoplastic Damage with Maximum Rate of Dissipation-Based Growth Criterion and Tri-Component Lie Rate Decomposition." In Challenges in Mechanics of Time Dependent Materials, Fracture, Fatigue, Failure and Damage Evolution, Volume 2, 127–30. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-29986-6_20.

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Drumwright, Evan, and Dylan A. Shell. "Modeling Contact Friction and Joint Friction in Dynamic Robotic Simulation Using the Principle of Maximum Dissipation." In Springer Tracts in Advanced Robotics, 249–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-17452-0_15.

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Anand, Lallit, and Sanjay Govindjee. "Small deformation rate-independent plasticity based on a postulate of maximum dissipation." In Continuum Mechanics of Solids, 429–33. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198864721.003.0023.

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This chapter introduces the concept of maximum dissipation. The elastic set is introduced, and the plastic dissipation is maximized over the elastic set using classical methods from linear programming theory. The plastic flow direction is seen to be generally normal to the yield surface when the plastic dissipation is maximized. The Kuhn-Tucker complementarity conditions are seen in this context to arise from the postulated optimization problem, and the elastic set is seen to be necessarily convex. The concept of maximum dissipation is applied to a Mises material and the models of the earlier chapters are seen to be recovered.
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"The Calculus of Variations and the Stationary Rate of Return on Capital." In Income, Wealth, and the Maximum Principle, 13–29. Harvard University Press, 2009. http://dx.doi.org/10.2307/j.ctv1pncrxj.5.

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Moroz, Adam. "Extreme Character of Evolution in Trophic Pyramid of Biological Systems and the Maximum Energy Dissipation/Least Action Principle." In The Common Extremalities in Biology and Physics, 187–286. Elsevier, 2012. http://dx.doi.org/10.1016/b978-0-12-385187-1.00004-6.

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Climescu-Haulica, Adriana, and Michelle Quirk. "Nonlinear Stochastic Differential Equations Method for Reverse Engineering of Gene Regulatory Network." In Handbook of Research on Computational Methodologies in Gene Regulatory Networks, 219–43. IGI Global, 2010. http://dx.doi.org/10.4018/978-1-60566-685-3.ch009.

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In this chapter, we present a method to infer the structure of the gene regulatory network that takes in account both the kinetic molecular interactions and the randomness of data. The dynamics of the gene expression level are fitted via a nonlinear stochastic differential equation (SDE) model. The drift term of the equation contains the transcription rate related to the architecture of the local regulatory network. The statistical analysis of data combines maximum likelihood principle with Akaike Information Criteria (AIC) through a forward selection Strategy to yield a set of specific regulators and their contribution. Tested with expression data concerning the cell cycle for S. Cerevisiae and embryogenesis for the D. melanogaster, this method provides a framework for the reverse engineering of various gene regulatory networks.
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Mueller, Stephan, Flavia Baldassarri, Julia Schönfeld, and Martin Halle. "Monitoring exercise programmes and improving cardiovascular performance." In The ESC Textbook of Sports Cardiology, edited by Antonio Pelliccia, Hein Heidbuchel, Domenico Corrado, Mats Börjesson, and Sanjay Sharma, 389–400. Oxford University Press, 2019. http://dx.doi.org/10.1093/med/9780198779742.003.0043.

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Cardiovascular exercise performance is associated with lower morbidity and mortality. In addition to maximal load, heart rate, and peak oxygen consumption, cardiopulmonary exercise testing and lactate analyses can provide relevant information on cardiovascular performance, diagnosis, exercise prescription, and monitoring of exercise programmes based on submaximal parameters. Using submaximal thresholds has the advantage that the prescription and effect of exercise training are directly linked to the underlying energy metabolism and therefore can reveal the specific needs of the individual. There are several methods ofr strength testing that are all based on maximum parameters and should be chosen according to the best-fit principle to the underlying strength training programme. In addition, new media such as wearables, innovative gadgets and telemonitoring have become increasingly popular in recent years and can be used to monitor the exercise training sessions, providing information for evaluation and adjustment of training if necessary.
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Chauhan, Sudipa, Kuldeep Chaudhary, Prianka Bose, and Sumit Kaur Bhatia. "Control of Pest Population by Sterile Insect Technique Considering Logistic Growth With Spatial Spread Invasion and Optimal Production Policies." In Mathematical Models of Infectious Diseases and Social Issues, 196–215. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-3741-1.ch009.

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In this chapter, the authors have proposed a SIT model to eradicate the pest population. It has been assumed that the females after mating with wild males grow logistically. Pest population is being controlled with the release of sterile insects in their habitat. The model is formulated with the system of differential equations, and the authors have discussed the local stability analysis of deterministic logistic growth rate model. Further, they have also obtained a potential function by incorporating one-dimensional insect release with an invasion on patch size L, which has a toxic exterior as its surrounding. It has been obtained that, in the presence of spatial spread over a finite patch size, the sterile release of the insects produces a sudden declination of the pest population. Finally, the authors have obtained the optimal production of sterile male population using Pontryagin's maximum principle. The applicability of the proposed model is finally illustrated through numerical solution.
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Petryshyn, Igor, and Olexandr Bas. "NATURAL GAS HEAT COMBUSTION DETERMINATION ON MEASURING SYSTEMS WITH DUPLICATE GAS UNITS." In Integration of traditional and innovative scientific researches: global trends and regional aspect. Publishing House “Baltija Publishing”, 2020. http://dx.doi.org/10.30525/978-9934-26-001-8-2-8.

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The paper focuses on the need to determine the natural gas heat combustion in order to transition to gas metering in units of energy. The technical organization of gas transportation in the main and distribution pipelines on the territory of Ukraine is shown. A detailed analysis of regulatory and legal support, which regulates the definition and accounting of quantitative and qualitative characteristics of natural gas at gas metering units. The draft Rules for determining the natural gas volume are considered in detail. Specified variants of determining the weighted average value of combustion heat in the case of complex gas supply systems with the use of flow measuring means of gas combustion heat. The necessity and urgency of determining the natural gas heat combustion on measuring systems, which are equipped with duplicate metering units without the installation flow means measuring the heat combustion. Emphasis is placed on the fact that a large number of measuring systems are built on the method of variable pressure drop with the use of standard orifice devices. It is pointed out that this method, according to its physical principle, measures the mass gas flow rate. It is also stipulated that ultrasonic gas meters are often used to complete duplicate metering units. The advantages of ultrasonic meters are given. Attention is drawn to the availability of technical metrological support in Ukraine on the basis calibration prover, which includes two secondary standards gas volume and volume flow rate units. Methods and technical means for determining the natural gas heat combustion are analyzed. The calculation of the gas heat combustion and the Wobbe number based on the density values is shown. It is noted that the value of the gas mass flow rate is related to the value of the gas volume flow rate precisely the value of density. The nonlinear dependence of the gas mass heat combustion for the density, which is associated with a disproportionate change in the percentage of carbon atoms to hydrogen atoms, is shown. The structural scheme of the measuring system with the duplicating metering unit for gas density definition and gas heat combustion calculation is developed. The density calculation and natural gas heat combustion depending on the molar fraction of nitrogen and carbon dioxide in the gas from the minimum to the maximum value is carried out. The linear dependence of the change in the gas heat combustion for the molar fraction of nitrogen is established, on the basis of which the method of controlling the gas heat combustion for measuring systems with a duplicate metering unit is proposed. It is shown that the developed procedure for determining the natural gas heat combustion based on the value of density, which is obtained from the calculation of gas mass flow rate and gas volume flow rate consumption on measuring systems with duplicate metering units exactly satisfies class B and C according to DSTU OIML R 140.
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Conference papers on the topic "Principle of maximum dissipation rate"

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Dellacasagrande, M., D. Lengani, D. Simoni, M. Ubaldi, and P. Zunino. "Experimental Investigation on the Loss Production Mechanisms in Transitional Boundary Layers." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-15148.

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Abstract The present paper discusses the results of a large experimental data set describing transitional boundary layers. Time resolved Particle Image Velocimetry (PIV) measurements have been adopted to survey the boundary layer developing over a flat plate under prescribed adverse pressure gradients typical of turbomachinery components. The tests have been performed while varying the pressure gradient, the Reynolds number and the inlet free-stream turbulence intensity (FSTI). Two exemplary cases, referring to bypass and separated flow transition, are discussed by means of principal axis analysis and proper orthogonal decomposition (POD). The POD is used to provide statistical representation of the flow structures and to compute the turbulence production (i.e., the mean flow energy dissipation) due to the dynamical features observed for the different transition types. Reduced order model representations of the flow field are provided and their contribution to the total turbulence kinetic energy production is isolated. This analysis is closed by the inspection of the eigenvectors of the strain rate and Reynolds stress tensors. For the separated flow case, it is shown that the eigenvectors of strain rate and shear tensor are almost perfectly aligned downstream of the maximum displacement of the bubble. The reduced order model reconstruction of the Kelvin-Helmholtz shed vortices provides the largest part of the overall TKE production. For the high FSTI induced transition, the eigenvectors of the shear and stress tensors do not have the same direction. The loss generation is related to the local maximum Reynolds normal stress in the streamwise direction, induced by the boundary layer streaks and their breakdown.
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Li, Qi, Xigang Yuan, Pierre Neveu, and Gilles Flamant. "Convective Heat Transfer Enhancement in Solar Receivers Using Minimum Entropy Generation Optimization." In ASME 2011 5th International Conference on Energy Sustainability. ASMEDC, 2011. http://dx.doi.org/10.1115/es2011-54209.

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Convective heat transfer enhancement can significantly improve the thermal efficiency in the conversion, utilization, recovery and storage of energy (in particular solar thermal). Modifying velocity field is the most direct approach to enhance convective heat transfer. However, in most cases the optimal velocity field is unknown and difficult to find even for an experienced researcher. In this paper, a predictive optimization methodology in convective heat transfer enhancement based on minimum entropy generation (MEG) principle was developed. A set of Euler’s equations were derived by the variation calculus to the Lagrange function established by governing equations, specific constraints and objective functional—total entropy generation rate. The solution of these equations resulted in the optimal velocity fields, leading to the minimum entropy generation. To validate and demonstrate the future application of this methodology to solar absorbers used to convert concentrated solar energy, the steady laminar convection heat transfer process in a two-dimensional channel with fixed heat flux boundaries was optimized for given total viscous dissipations. The numerical simulation results showed that lower value of maximum wall temperature was obtained by MEG optimization, which means cheaper and safer materials. The present work indicated that the new methodology could be a good guide in convective heat transfer enhancement design work, especially in CSP receivers.
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Hu, Qiang, Brahmananda Dasgupta, and D. P. Choudhary. "Application of the principle of minimum dissipation rate to solar coronal magnetic field extrapolation." In TURBULENCE AND NONLINEAR PROCESSES IN ASTROPHYSICAL PLASMAS; 6th Annual International Astrophysics Conference. AIP, 2007. http://dx.doi.org/10.1063/1.2778988.

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Zhang, Conan, and Carlos H. Hidrovo. "Nanoscale Wicking Structures." In ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/ht2009-88416.

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Heat pipes are ubiquitous in various heat transfer applications due to their low maintenance and lack of moving parts. Their simplicity makes them compact and ideally suited for microelectronics use. Recirculation of the coolant in a heat pipe is done passively by means of a wicking structure that induces capillary-driven flow from the condenser to the evaporator. This fluidic scheme is highly desirable but requires precise optimization of the wicking structure geometry to provide the required coolant flow rates under different heat loads. In this paper we present an ab initio model that simulates the capillary flow within a wicking structure of regular and periodic geometry. An energy formulation incorporating capillary equations for pressure gradient and the Stokes flow equation for frictional dissipation were used in the analysis. The feasibility of using nanostructures for capillary-driven flow was assessed using this theoretical analysis. This model is specifically designed to simulate a nanopillar array wick (or nanowick) but was also extended to incorporate commercially available homogenous wicks through the use of a general Darcy’s flow approach. A Darcy’s flow analysis requires knowledge of the porous structure permeability (κ), which must be empirically determined. However, our first principles approach can be used to estimate the effective permeability of various commercial wicks. Only the characteristic structural dimensions of a wick are needed in our model for an accurate estimate of the permeability and the maximum flow rate the wick can sustain without the necessity for an empirical correlation. The results of the theoretical model were corroborated through experimental measurements of baseline mesh wicks and nanowicks. Since the thermal performance of most heat pipes is usually capped by the capillary limit, this threshold was examined for each wick by measuring the mass flow over time at different heat fluxes. At high heat fluxes, the wick cannot sustain the fluid flow necessary for heat removal and burnout occurs. This phenomenon occurs at the thermal capillary limit. The mass flow ceases to increase in the case of burnout and may actually decrease if a disruptive vapor film is created. Experiments show that the baseline wicks were found to have higher mass flow rates when compared to a nanowick due to the difference in thickness of the wicks. However, when the data were normalized to produce velocity values, the nanowick was found to have a higher velocity than most of the baseline wicks. These experimental results were weighed against the theoretical model results showing very good agreement of the two.
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Liang, Xin-Gang, and Qun Chen. "Mass Nature of Heat and Its Applications V: Entransy, Entransy Dissipation and Heat Transfer Irreversibility." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22422.

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Heat transfer optimization is ubiquitous because improving heat transfer performance could increase the energy utilization or reduce the weight or size of heat transfer equipments. This article discusses the optimization in heat transfer using the new physical quantity, entransy, in recent years. Entransy describes the heat transfer ability. When heat is transferred from a high temperature to a low temperature and entransy dissipation is produced. Heat transfer is irreversible from the viewpoint of entransy. The entransy transfer efficiency can be defined using the concept of entransy. Definition of entransy, entransy flux, and entransy dissipation are given and the entransy balance equations are derived for conduction, convection and thermal radiation based on the energy equation. The minimum entransy dissipation principle for prescribed heat flux boundary conditions and a maximum entransy dissipation principle for prescribed temperature boundary conditions are investigated. These two principles are called entransy dissipation extreme (EDE) principle. An equivalent or average thermal resistance of a system can be defined based on the entransy dissipation and the EDE principle becomes the minimum thermal resistance principle. These principles can be used to optimize heat transport with constraints and some examples are presented. The relation of entransy with thermomass is discussed and comparison between EDE and entropy generation optimization is made. The essence of the entansy is the energy of thermomass.
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Hazbavi, A., N. Ashrafi, and M. Najafi. "Viscoelastic Rotating Flow With Viscous Dissipation." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-36880.

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The rotational flow of pseudoplastic fluids between concentric cylinders is examined while dissipation due to viscous effects is taken into account. The viscosity of fluid is dependent on shear rate only. The shear rate dependence of viscosity is modeled according to the Carreau equation. Hydrodynamically, stick boundary conditions are applied and thermally, both constant temperature and constant heat flux on the exterior of cylinders are considered. The governing motion and energy balance equations are coupled adding complexity to the already highly correlated set of differential equations. Introduction of Brinkman number has maintained a nonlinear base flow between the cylinders. As well, the condition of constant heat flux has moved the point of maximum temperature towards the inner cylinder. In the presence of viscous heating, the effect of parameters such as Deborah and Brinkman numbers, material time and pseudoplasticity constant is presented. The flow parameters along with viscosity maps are given for different scenarios of the flow.
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Liu, Chuan-ping, Li Wang, Min Jia, and Lige Tong. "A Criteria for Size Separation Using Maximum Entropy Production." In ASME 2009 3rd International Conference on Energy Sustainability collocated with the Heat Transfer and InterPACK09 Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/es2009-90253.

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In order to study analytically the nature of the size separation in granular mixture, we present the maximum entropy production principle based on kinetic temperature of granular mixture. For simplicity we apply this principle to size separation of a sphere binary mixture in vibrated bed, and we find a new thermodynamic mechanism of size separation phenomenon. With the irreversible processes such as elastic collisions and frictions, the kinetic energy is dissipated rapidly in system, which induces the entropy production. By the fact that the entropy production rate always has the absolute maximum at the stable state of granular mixture, we find the crossover from “Brazil Nut Effect” to its reverse by changing particles size and density, and our result is about satisfied with Schnautz’s experiment.
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8

Tong, Wei. "Improved Heat Dissipation Capability on Electronic Motor Control Devices." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82857.

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Heat sinks have been widely used in electronic industry to maintain the operation temperatures of electronic devices lower than their allowable values and thus are often critical to the device performance and life. However, it is difficult to design heat sinks to satisfy all design specifications optimally under complex heat transfer phenomena. The present work discloses a new design of heat sinks to improve heat dissipation capability for electric motor control devices. The heat sink contains a plurality of raindrop-shaped pin fins, acting as vortex generators to increase the rate of heat transfer and in turn, to increase the cooling efficiency of the heat sinks. Numerical results have shown that with the new designed heat sinks, the maximum temperature can reduce about 30% over the conventional heat sinks.
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9

Hazbavi, A., and N. Ashrafi. "Pseudoplastic Flow Between Concentric Rotating Cylinders With Viscous Dissipation." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87698.

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The rotational flow of pseudoplastic fluids between concentric cylinders is examined while dissipation due to viscous effects is taken into account. The viscosity of fluid is simultaneously dependent on shear rate and temperature. Exponential dependence of viscosity on temperature is modeled through Nahme law and the shear dependency is modeled according to the Carreau equation. Hydrodynamically, stick boundary conditions are applied and thermally, both constant temperature and constant heat flux on the exterior of cylinders are considered. The governing motion and energy balance equations are coupled adding complexity to the already highly correlated set of differential equations. Introduction of Nahme number has maintained a nonlinear base flow between the cylinders. As well, the condition of constant heat flux has moved the point of maximum temperature towards the inner cylinder. In the presence of viscous heating, the effect of parameters such as Nahme, Prandtl and Brinkman numbers, material time and pseudoplasticity constant on the stability of the flow is presented in terms of neutral stability curves. The flow parameters along with viscosity maps are given for different scenarios of the flow.
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10

Grady, Dennis. "Statistics of energy dissipation in the hypervelocity impact shock failure transition." In 2019 15th Hypervelocity Impact Symposium. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/hvis2019-020.

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Abstract In the hypervelocity impact event, shock waves subject material to failure transitions with the attendant dissipation of the imparted energy. Under shock compression, failure and dissipation entail intense compression, inelastic shear and compaction. Through shock interactions, states of dynamic tension are achieved and further failure dissipation involves fracture and fragmentation. The nature of failure of solids in the shock environment has encouraged considerable experimental effort through the past several decades. Such efforts have yielded results that suggest universality in the shock failure response over significant spans of shock intensity. Examples include the fourth-power relation between pressure and strain rate in solid-material compressive shock waves, and power-law relations capturing spall fracture strength and fragmentation size scale in dynamic tensile failure. Comparable power-laws also describe the shock compaction of distended solids. The present paper explores a statistical perspective of the underlying micro failure dynamics for the purpose of achieving better understanding of the macro failure trends noted above. A statistical correlation function description of the random micro velocity field is introduced. Through the attendant kinetic dissipation, the statistical fluctuation-dissipation principle is applied to the shock failure transition. From this statistical approach, power-law relations for compressive and tensile shock failure emerge that replicate the reported experimental behaviors.
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