Continuum Mechanics and Thermodynamics: From Fundamental Concepts to Governing Equations

by by Ellad B. Tadmor, Ronald E. Miller, Ryan S. Elliott

Publisher: Cambridge University Press
ISBN: 1107008263

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Book Description

Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. This book presents a fresh perspective on these fundamental topics, connecting micro and nanoscopic theories and emphasizing topics relevant to understanding solid-state thermo-mechanical behavior.

Providing clear, in-depth coverage, the book gives a self-contained treatment of topics directly related to nonlinear materials modeling. It starts with vectors and tensors, finite deformation kinematics, the fundamental balance and conservation laws, and classical thermodynamics. It then discusses the principles of constitutive theory and examples of constitutive models, presents a foundational treatment of energy principles and stability theory, and concludes with example closed-form solutions and the essentials of finite elements. Together with its companion book, Modeling Materials, (Cambridge University Press, 2011), this work presents the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Book Reviews

"I find it quite impressive that despite writing about such an old subject, these authors were able to present it with a very distinct personal style and perspective. The book is written in a very contemporary style and is full of well-thought out (solved) examples. I found it very enjoyable to read. Nearly every other page has footnotes which are in turns quirky, humorous or just plain factual but always informative and add an exceptional value to the text." - Pradeep Sharma, iMechanica

"The authors present the material clearly, with care taken to provide detailed derivations when needed and heuristic arguments, when those suffice. The end-of-chapter exercises are well-designed, and this text could very profitably be used as the basis for an undergraduate/graduate course in continuum mechanics, suitable for both science and engineering students. The author should be congratulated on producing a fine textbook, one that meets the needs of a variety of disciplines." - Andrew Resnick, Cleveland State University for Contemporary Physics

About the Author

Ellad B. Tadmor is Professor of Aerospace Engineering and Mechanics at the University of Minnesota. His research focuses on multiscale method development and the microscopic foundations of continuum mechanics.

Ronald E. Miller is Professor of Mechanical and Aerospace Engineering at Carleton University. He has worked in the area of multiscale materials modeling for over 15 years and has published more than 40 scientific articles in the area.

Ryan S. Elliott is Associate Professor of Aerospace Engineering and Mechanics at the University of Minnesota. An expert in stability of continuum and atomistic systems, he has received many awards for his work.

Customer Reviews

Continuum mechanics and thermodynamics are foundational theories of many fields of science and engineering. This book presents a fresh perspective on these important subjects, exploring their fundamentals and connecting them with micro- and nanoscopic theories. Providing clear, in-depth coverage, this book shows a self-contained treatment of topics directly related to nonlinear materials modeling through emphasizing topics relevant to understanding solid-state thermo-mechanical behavior.

Together, continuum mechanics and thermodynamics form the fundamental theory lying at the heart of many disciplines in science and engineering.

It starts with vectors and tensors, finite deformation kinematics, the fundamental balance and conservation laws, and classical thermodynamics. It then discusses the principles of constitutive theory and examples of constitutive models, presents a foundational treatment of energy principles and stability theory, and concludes with example closed-form solutions and the essentials of finite elements.

This is a nonlinear theory dealing with the macroscopic response of material bodies to mechanical and thermal loading. First, rather than just presenting equations, they attempt to explain where the equations come from and what are the underlying assumptions. This is important for those seeking to integrate continuum mechanics within a multiscale paradigm, but is also of great value for those who seek to master continuum mechanics on its own, and ever for experts who wish to reflect further upon the basis of their field and its limitations. To this end, they have developed the subject in a step-by-step fashion, building up from fundamental ideas and concepts to more complex principles.