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Elasticity with Mathematica ®

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This book is intended for researchers, engineers and students in solid mechanics, materials science and physics who are interested in using the power of modern computing to solve a wide variety of problems of both practical and fundamental significance in elasticity. Extensive use of Mathematica in the book makes available to the reader a range of recipes that can be readily adjusted to match particular tastes or requirements, to visualize solutions, and to carry out symbolic and numerical analysis and optimization.

Contents

Preface; 1. Kinematics: displacements and strains; 2. Dynamics and statics: stresses and equilibrium; 3. Linear elasticity; 4. General principles in problems of elasticity; 5. Stress functions; 6. Displacement potentials; 7. Energy principles and variational formulations; Appendix 1. Differential operators; Appendix 2. Mathematica tricks; Appendix 3. Plotting parametric meshes; Bibliography; Index.

Review

"Constantinescu (engineering, French National Center for Scientific Research and <'E>cole Polytechnique, Palaisea) and Korsunsky (engineering science, U. of Oxford) use plane and three-dimensional problems, general theorems, fundamental solutions, displacements and stress potentials to introduce key ideas and principles in the theory of elasticity. They keep the narrative relatively simple, provide study aids such as outlines and summaries and offer exercises students can work using "notebooks" from the popular software product. The result is a significant advance in the study of elasticity, with topics such as kinematics (in terms of displacement and strains), dynamics and stress (in terms of stresses and equilibrium, with full due to Cauchy), linear elasticity, general principles (including that of Saint Venant), stress functions (including the work of Kelvin, Williams, Kirsch and Inglis), displacement potentials (including Papkovich-Neuber potentials and the Galerkin vector), energy principles and variational formulations. They include a nice appendix on helpful software tricks."
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