Internal Variables in Thermoelasticity
by
 
Berezovski, Arkadi. author.

Title
Internal Variables in Thermoelasticity

Author
Berezovski, Arkadi. author.

ISBN
9783319569345

Personal Author
Berezovski, Arkadi. author.

Physical Description
VIII, 220 p. 37 illus. online resource.

Series
Solid Mechanics and Its Applications, 243

Contents
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.

Abstract
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.

Subject Term
Engineering.
 
Mathematical physics.
 
Mathematical models.
 
Thermodynamics.
 
Heat engineering.
 
Heat transfer.
 
Mass transfer.
 
Continuum mechanics.
 
Continuum Mechanics and Mechanics of Materials.
 
Engineering Thermodynamics, Heat and Mass Transfer.
 
Classical and Continuum Physics.
 
Mathematical Applications in the Physical Sciences.
 
Mathematical Modeling and Industrial Mathematics.

Added Author
Ván, Peter.

Added Corporate Author
SpringerLink (Online service)

Electronic Access
http://dx.doi.org/10.1007/978-3-319-56934-5


Shelf NumberItem BarcodeShelf LocationShelf LocationHolding Information
TA405 -409.3481314-1001SPRINGERSPRINGER