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Continuum Modeling from Thermodynamics

Application to Complex Fluids and Soft Solids

  • Book
  • © 2024

Overview

Authors:
  1. Pierre Saramito

    1. Lab. J. Kuntzmann - Univ. Grenoble-Alpes, Centre Nat. de la Recherche Scientifique, Grenoble, France

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  • Provides a ready-to-use thermodynamics framework for the development of constitutive equations
  • Provides a catalog of old and new constitutive equations of practical interest
  • Based on an axiomatized theory in a precise mathematical language

Part of the book series: Surveys and Tutorials in the Applied Mathematical Sciences (STAMS, volume 13)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Conservation

    • Pierre Saramito
    Pages 1-22

  3. Objectivity

    • Pierre Saramito
    Pages 23-55

  4. Strain and Stress

    • Pierre Saramito
    Pages 57-88

  5. Framework

    • Pierre Saramito
    Pages 89-105

  6. Examples

    • Pierre Saramito
    Pages 107-140

  7. Back Matter

    Pages 141-153
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Keywords

About this book

This book presents a novel comprehensive thermodynamic framework, suitable for the design of new macroscopic models, as well as the combination of existing models. Our goal is to popularize thermodynamics for model designers. The example series of models includes very classic solid and fluid models, such as Newtonian, viscoplastic and viscoelastic materials, but also new heat effects and original combinations of existing models. The aim of the new proposed framework is to allow a clear and easy development of constitutive equations that automatically satisfy the second principle. Instead of writing directly constitutive relations, model designers are encouraged to first specify the energy. This book is primarily intended for graduate students and researchers in applied mathematics, engineering sciences, computational mechanics and physics. The reader is assumed to be familiar with classical mechanics, together with matrix and tensors algebra.


Authors and Affiliations

  • Lab. J. Kuntzmann - Univ. Grenoble-Alpes, Centre Nat. de la Recherche Scientifique, Grenoble, France

    Pierre Saramito

About the author

Pierre Saramito was born in Reims, France and studied applied mathematics and computer science. He then obtained a PhD in mechanics from the University of Grenoble, which stimulated his interest in interacting with physics. In 1995, he joined the CNRS, the "Centre National de la Recherche Scientifique", where he is now a senior researcher, working at the J. Kuntzmann laboratory in Grenoble. Saramito is the author of numerous research papers and books. He published in 2016 a Springer book on complex fluids. His research focuses on the development of continuous mathematical models in physics and biology and their numerical resolution.

Bibliographic Information

  • Book Title: Continuum Modeling from Thermodynamics

  • Book Subtitle: Application to Complex Fluids and Soft Solids

  • Authors: Pierre Saramito

  • Series Title: Surveys and Tutorials in the Applied Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-3-031-51012-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2024

  • Softcover ISBN: 978-3-031-51011-3Published: 05 March 2024

  • eBook ISBN: 978-3-031-51012-0Published: 04 March 2024

  • Series ISSN: 2199-4765

  • Series E-ISSN: 2199-4773

  • Edition Number: 1

  • Number of Pages: XVI, 153

  • Number of Illustrations: 17 b/w illustrations, 16 illustrations in colour

  • Topics: Mathematical Physics

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