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Internal variables in thermoelasticity

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Internal variables in thermoelasticity/ by Arkadi Berezovski, Peter Van.
作者:	Berezovski, Arkadi.
其他作者:	Van, Peter.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	viii, 220 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Thermoelasticity. -
電子資源:	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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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 Mathematical Applications in the Physical Sciences. $3 786649
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