SEARCH Advanced Search Topic All Topics Algebra Applied Mathematics Calculus and Analysis Chemistry Computer Science Courseware Differential Equations Discrete Mathematics Earth Sciences Economics and Finance Engineering Geometry Graphics Life Sciences Modeling and Simulation Number Theory Physics Probability and Statistics Programming Recreational Social Sciences Tutorial and Reference Language All Languages English Bulgarian Catalan Chinese Dutch Finnish French German Greek Hungarian Italian Japanese Korean Lithuanian Norwegian Polish Portuguese Russian Spanish Swedish
 BROWSE TOPICS Algebra» Applied Mathematics» Calculus and Analysis» Chemistry» Computer Science» Courseware» Differential Equations» Discrete Mathematics» Earth Sciences» Economics and Finance» Engineering» Geometry» Graphics» Life Sciences» Modeling and Simulation» Number Theory» Physics» Probability and Statistics» Programming» Recreational» Social Sciences» Tutorial and Reference»
Elasticity with Mathematica: An Introduction to Continuum Mechanics and Linear Elasticity
by Andrei Constantinescu, Dr. Alexander Korsunsky
• Publisher: Cambridge University Press
• Year: 2007
• ISBN: 9780521842013 (Hardcover)
• 255 pp
• Based on: Version 6
Description
This book introduces key ideas and principles in the theory of elasticity with the help of symbolic computation. Differential and integral operators on vector and tensor fields of displacements, strains, and stresses are considered on a consistent and rigorous basis with respect to curvilinear orthogonal coordinate systems. Methods are illustrated using a variety of plane and three-dimensional elastic problems, and general theorems, fundamental solutions, displacements, and stress potentials are presented and discussed.

The book contains over 60 exercises and solutions in the form of Mathematica notebooks that accompany each chapter. The demonstrated techniques can be applied to a large range of practical and fundamental problems. Written with Mathematica 5.2; Mathematica 6.0 compatible notebooks are available for download from the publisher's website. Contents
Kinematics: Displacements and Strains | Dynamics and Statics: Stresses and Equilibrium | Linear Elasticity | General Principles in Problems of Elasticity | Stress Functions | Displacement Potentials | Energy Principles and Variational Formulations | Appendix 1: Differential Operators | Appendix 2: Mathematica Tricks | Appendix 3: Plotting Parametric Meshes Additional Resources
Alexander Korsunsky's Packages and Notebooks Related Topics
Engineering, Physics