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Elasticity with Mathematica ®: An Introduction to Continuum Mechanics and Linear Elasticity
 
 
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Elasticity with Mathematica ®: An Introduction to Continuum Mechanics and Linear Elasticity [Hardcover]

Andrei Constantinescu (Author), Alexander Korsunsky (Author)

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Book Description

0521842018 978-0521842013 October 8, 2007 1
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.

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"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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Book Description

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.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complementary energy potential, infinitesimal rigid displacement field, isotropic compliance tensor, incompatibility operator, temperature change field, strain energy potential, incompatibility tensor, corresponding strain field, force doublet, external surface tractions, kelvin solution, orientational variation, infinitesimal rotation vector, virtual work theorem, cylindrical polar coordinate system, admissible fields, admissible stress fields, virtual velocity fields, biharmonic functions, statically admissible stress field, admissible displacement fields, wedge apex, elastic constitutive law, anisotropic elastic material, thermoelastic problem
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Saint Venant, The Rayleigh-Ritz, The Inglis, The Hankel, The Williams
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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