Ellad B. Tadmor , Ronald E. Miller, Ryan S. 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.
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Ellad B. His research focuses on the development of multiscale theories and computational methods for predicting the behavior of materials directly from the interactions of the atoms making up the material. He received the MRS Graduate Student Award in for his work on developing the quasicontinuum method, one of the leading multiscale methods, and has received numerous awards for excellence in teaching, including the Salomon Simon Mani Award in Professor Tadmor is on the editorial board of the Journal of Elasticity.
Ronald E. 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. An expert in stability of continuum and atomistic systems, he has received many awards for his work.
Tadmor , Ronald E. Miller , Ryan S. 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, , this work presents the fundamentals of multiscale materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.
Scalars vectors and tensors. Constitutive relations. Universal equilibrium solutions. Further reading.
Continuum mechanics and thermodynamics: From fundamental concepts to governing equations
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