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Internal Variables in Thermoelasticity

  • Book
  • © 2017

Overview

  • 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

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 243)

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Table of contents (13 chapters)

  1. Internal Variables in Thermomechanics

  2. Dispersive Elastic Waves in One Dimension

  3. Thermal Effects

  4. Weakly Nonlocal Thermoelasticity for Microstructured Solids

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About this book

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.

Authors and Affiliations

  • Department of Cybernetics, School of Science, Tallinn University of Technology, Tallinn, Estonia

    Arkadi Berezovski

  • Institute of Particle and Nuclear Physics, MTA WIGNER Research Centre for Physics, Budapest, Hungary

    Peter Ván

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