Internal Variables in Thermoelasticity, 1st ed. 2017
Solid Mechanics and Its Applications Series, Vol. 243

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Language: English

Approximative price 105.49 €

In Print (Delivery period: 15 days).

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Internal Variables in Thermoelasticity
Publication date:
Support: Print on demand

Approximative price 105.49 €

In Print (Delivery period: 15 days).

Add to cartAdd to cart
Internal Variables in Thermoelasticity
Publication date:
Support: Print on demand

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.

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

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 variables

Includes supplementary material: sn.pub/extras