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Mathematical Theory of Elasticity
This book is devoted to the classical theory of linear elasticity in which both the elastostatics and elastodynamics are discussed. The theory is presented in a modern continuum mechanics setting using direct notation as well as cartesian co-ordinates. Each chapter, except for the first one on the history of elasticity, contains examples with full solutions that illustrate the theory introduced. Also, each chapter except for the first one is supplemented by a set of problems with answers and hints.
The book provides new general theorems and applications of elasticity that are complementary to the classical results such 3D Compatibility Related Variational Principle of Elastostatics, Pure Stress Treatment of Elastodynamics, Tensorial Classification of Elastic Waves and the Stress Energy Partition Formula for the Classical surface-wave in a semi-space.
Due to its explanatory style the book could be useful for graduate students and for beginners in the application of elasticity theory to engineering problems. It may also be useful for researchers in the modern theory of continuum mechanics.
The book provides new general theorems and applications of elasticity that are complementary to the classical results such 3D Compatibility Related Variational Principle of Elastostatics, Pure Stress Treatment of Elastodynamics, Tensorial Classification of Elastic Waves and the Stress Energy Partition Formula for the Classical surface-wave in a semi-space.
Due to its explanatory style the book could be useful for graduate students and for beginners in the application of elasticity theory to engineering problems. It may also be useful for researchers in the modern theory of continuum mechanics.
800 pages, Kindle Edition
First published December 16, 2003
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