Continuum Mechanics
By: by I-Shih Liu
Series: Advanced Texts in Physics; Advanced Texts in Physics
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 297
ISBN-13: 9783642077029; 9783662050569
Subjects: Mechanics; Mathematics; Materials; Physics; Thermodynamics
Description: This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presented in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.
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Table of contents: title: Kinematics; title: Balance Laws; title: Basic Principles of Constitutive Theories; title: Representation of Constitutive Functions; title: Entropy Principle; title: Isotropic Elastic Solids; title: Thermodynamics With Lagrange Multipliers; title: Rational Extended Thermodynamics; title: Elementary Tensor Analysis.