Steigmann D., Shirani M. Principles of Continuum Mechanics 2025

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Steigmann D., Shirani M. Principles of Continuum Mechanics 2025

Textbook in PDF format This book covers the fundamental aspects of continuum mechanics (tensor methods, kinematics of deformation and motion, forces and balance laws) and includes a modern account of essential aspects of constitutive theory such as frame invariance, material symmetry, constraints, and restrictions imposed by thermodynamics. Recent significant advances in the subject have been incorporated in a pedagogically useful format to facilitate independent study as well as access to research literature. An extensive range of problems are incorporated together with detailed solutions to reinforce concepts introduced in the text, help develop the reader's intuition, and promote engagement with the material. Intended for final year undergraduate and beginning graduate students of engineering and physics, this book provides a concise, rigorous and accessible introduction to continuum mechanics. It will also serve as a reference for researchers, instructors and practitioners. Preface. About the Authors. Mathematical Preliminaries. Bodies, Configurations, and Motions. Further Preliminaries, with Applications to the Analysis of Deformation. Rate of Deformation. Transport Formulas. Balance Laws. Observers and Frames of Reference. Constitutive Equations. Viscous Fluids. Kinematic Constraints. Elastic Solids. Linear Elasticity. A Some Facts About Vector and Tensor Algebra. B Derivatives of Scalars with Respect to Tensors. C Rotation Tensors and the Rodrigues Representation. D Spectral Representation of a Symmetric Tensor. E Solutions to Selected Problems. References. Index