Authors:
- 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)
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Front Matter
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Internal Variables in Thermomechanics
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Front Matter
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Dispersive Elastic Waves in One Dimension
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Front Matter
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Weakly Nonlocal Thermoelasticity for Microstructured Solids
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Front Matter
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Back Matter
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
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Department of Cybernetics, School of Science, Tallinn University of Technology, Tallinn, Estonia
Arkadi Berezovski
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Institute of Particle and Nuclear Physics, MTA WIGNER Research Centre for Physics, Budapest, Hungary
Peter Ván
Bibliographic Information
Book Title: Internal Variables in Thermoelasticity
Authors: Arkadi Berezovski, Peter Ván
Series Title: Solid Mechanics and Its Applications
DOI: https://doi.org/10.1007/978-3-319-56934-5
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-56933-8Published: 12 May 2017
Softcover ISBN: 978-3-319-86039-8Published: 28 July 2018
eBook ISBN: 978-3-319-56934-5Published: 05 May 2017
Series ISSN: 0925-0042
Series E-ISSN: 2214-7764
Edition Number: 1
Number of Pages: VIII, 220
Number of Illustrations: 37 b/w illustrations
Topics: Solid Mechanics, Engineering Thermodynamics, Heat and Mass Transfer, Classical and Continuum Physics, Mathematical Applications in the Physical Sciences, Mathematical Modeling and Industrial Mathematics