Overview

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.

Full Product Details

Author:   Arkadi Berezovski ,  Peter Ván
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2017
Volume:   243
Weight:   0.454kg
ISBN:  

9783319860398

ISBN 10:   3319860399
Pages:   220
Publication Date:   28 July 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of 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.

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