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

by Andrei Constantinescu, Alexander Korsunsky

Overview

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.

Product Details

ISBN-13:	9781107406131
Publisher:	Cambridge University Press
Publication date:	08/09/2012
Pages:	266
Product dimensions:	7.01(w) x 10.00(h) x 0.55(d)

About the Author

Andrei Constantinescu is currently the directeur de Recherches at CNRS: The French National Center for Scientific Research in the Laboratoire de Mecanique des Solide, and Associated Professor at Ecole Polytechniuqe, Paris. He teaches courses on continuum mechanics, elasticity, fatigue, and inverse problems at engineering schools in the Paris area. His research is in applied mechanics and covers areas ranging from inverse problems and the identification of defects and constitutive laws to fatigue and lifetime prediction of structures under cyclic loading conditions. His research has been applied through collaboration and consulting for companies such as the car manufacturer Peugeot-Citroen, energy providers Électricité de France and Gaz de France, and the aeroengine manufacturer MTU.

Alexander Korsunsky is currently a professor in the Department of Engineering Science, University of Oxford. He is a Fellow and Dean at Trinity College, Oxford. He teaches courses in England and France on engineering alloys, fracture mechanics, applied elasticity, advanced stress analysis, and residual stresses. His research interests are in the field of experimental characterization and theoretical analysis of deformation and fracture of metals, polymers, and concrete, with emphasis on thermo-mechanical fatigue and damage. He is particularly interested in residual stress effects and their measurement by advanced diffraction techniques using neutrons and high-energy X-rays at Synchrotron sources and in the laboratory. He is a member of the Science Advisory Committee of the European Synchrotron Radiation Facility in Grenoble, and he leads the development of the new engineering instrument (JEEP) at Diamond Light Source near Oxford.

Table of 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.

Editorial Reviews

"Constantinescu (engineering, French National Center for Scientific Research and École 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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