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Internal variables in thermoelasticity

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Internal variables in thermoelasticity/ by Arkadi Berezovski, Peter Van.
Author:	Berezovski, Arkadi.
other author:	Van, Peter.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	viii, 220 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Thermoelasticity. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-56934-5
ISBN:	9783319569345

Internal variables in thermoelasticity
Berezovski, Arkadi.

Internal variables in thermoelasticity[electronic resource] /by Arkadi Berezovski, Peter Van. - Cham :Springer International Publishing :2017. - viii, 220 p. :ill., digital ;24 cm. - Solid mechanics and its applications,v.2430925-0042 ;. - Solid mechanics and its applications ;v. 136.

Part I Internal variables in thermomechanics -- 2 Introduction -- 3 Thermomechanical single internal variable theory -- 4 Dual internal variables -- Part II Dispersive elastic waves in one dimension -- 5 Internal variables and microinertia -- 6 Dispersive elastic waves -- 7 One-dimensional microelasticity -- 8 Influence of nonlinearity -- Part III Thermal effects -- 9 The role of heterogeneity in heat pulse propagation in a solid with inner structure -- 10 Heat conduction in microstructured solids -- 11 One-dimensional thermoelasticity with dual internal variables -- 12 Influence of microstructure on thermoelastic wave propagation -- Part IV Weakly nonlocal thermoelasticity for microstructured solids -- 13 Microdeformation and microtemperature -- Appendix A: Sketch of thermostatics -- Appendix B: Finite-volume numerical algorithm -- Index.

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.

ISBN: 9783319569345

Standard No.: 10.1007/978-3-319-56934-5doiSubjects--Topical Terms:

896649
Thermoelasticity.

LC Class. No.: QA933

Dewey Class. No.: 531.382

Internal variables in thermoelasticity
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490 1 $a Solid mechanics and its applications, $x 0925-0042 ; $v v.243
505 0 $a Part I Internal variables in thermomechanics -- 2 Introduction -- 3 Thermomechanical single internal variable theory -- 4 Dual internal variables -- Part II Dispersive elastic waves in one dimension -- 5 Internal variables and microinertia -- 6 Dispersive elastic waves -- 7 One-dimensional microelasticity -- 8 Influence of nonlinearity -- Part III Thermal effects -- 9 The role of heterogeneity in heat pulse propagation in a solid with inner structure -- 10 Heat conduction in microstructured solids -- 11 One-dimensional thermoelasticity with dual internal variables -- 12 Influence of microstructure on thermoelastic wave propagation -- Part IV Weakly nonlocal thermoelasticity for microstructured solids -- 13 Microdeformation and microtemperature -- Appendix A: Sketch of thermostatics -- Appendix B: Finite-volume numerical algorithm -- Index.
520 $a 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.
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650 2 4 $a Classical and Continuum Physics. $3 1141497
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 669172
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