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Titlebook: Internal Variables in Thermoelasticity; Arkadi Berezovski,Peter Ván Book 2017 Springer International Publishing AG 2017 Thermodynamics of

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发表于 2025-3-21 16:23:19 | 显示全部楼层 |阅读模式
书目名称Internal Variables in Thermoelasticity
编辑Arkadi Berezovski,Peter Ván
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概述Describes the construction of advanced continuum theories.Includes coupling between mechanical and thermal effects.Helps readers obtain the necessary skills for creating new models using internal vari
丛书名称Solid Mechanics and Its Applications
图书封面Titlebook: Internal Variables in Thermoelasticity;  Arkadi Berezovski,Peter Ván Book 2017 Springer International Publishing AG 2017 Thermodynamics of
描述.This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables...The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them..
出版日期Book 2017
关键词Thermodynamics of solids; Modelling of advanced materials; Extra entropy flux; Heterogeneous solids; The
版次1
doihttps://doi.org/10.1007/978-3-319-56934-5
isbn_softcover978-3-319-86039-8
isbn_ebook978-3-319-56934-5Series ISSN 0925-0042 Series E-ISSN 2214-7764
issn_series 0925-0042
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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Internal Variables in Thermoelasticity978-3-319-56934-5Series ISSN 0925-0042 Series E-ISSN 2214-7764
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Dual Internal Variableshe material manifold. This extension of the single internal variable formalism allows one to derive a hyperbolic evolution equation for internal variables in the non-dissipative case. Since the dissipation inequality is the basis of the derivation, it ensures the thermodynamic consistency of the obtained evolution equations.
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Influence of Nonlinearityative case, the nonlinear terms can be balanced with dispersion providing the well-known models of solitonic behavior. The interplay between micro-and macro- nonlinearities allows to achieve more sophisticated models of nonlinear dispersive wave propagation than those in the homogeneous solids.
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The Role of Heterogeneity in Heat Pulse Propagation in a Solid with Inner Structureon the results. This influence is significant and unavoidable. Numerical simulations confirm that prediction of temperature behavior at the rear surface of the sample by the Fourier law are systematically deviated from the observed temperature.
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Heat Conduction in Microstructured Solids internal variables is identified with microtemperature, i.e., the fluctuation of macroscopic temperature due to the inhomogeneity of the body. The macroscopic heat conduction equation remains parabolic, but coupled with the hyperbolic evolution equation for the microtemperature.
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Microdeformation and Microtemperaturectured solids. This extension keeps the structure of canonical balances of momentum and energy and provides the thermodynamically consistent evolution equations for microdeformation and microtemperature. Evolution equations in the case of dual internal variables are hyperbolic and coupled with the equations of macromotion.
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