Continuum Mechanics and Thermodynamics : From Fundamental Concepts to Governing Equations

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

Cambridge University Press（2011/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 372 p.／サイズ 43 b/w illus., 95 exercises
• 言語 ENG
• 商品コード 9781107008267
• DDC分類 531

基本説明

Develops topics step-by-step, building up from fundamental ideas and concepts to more complex principles, to help students understand the underlying principles.

Full 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.

Contents

1. Introduction; 2. Scalars, vectors and tensors; 3. Kinematics of deformation; 4. Mechanical conservation and balance laws; 5. Thermodynamics; 6. Constitutive relations; 7. Boundary-value problems, energy principles and stability; 8. Universal equilibrium solutions; 9. Numerical solutions: the finite element method; 10. Approximate solutions: reduction to the engineering theories; 11. Further reading; Appendices; Index.