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Cover image for Elasticity : theory, applications, and numerics
Title:
Elasticity : theory, applications, and numerics
Edition:
3rd ed.
Publication Information:
Amsterdam ; Boston : Elsevier/Academic Press, 2014
Physical Description:
xvii, 582 p. : illustrations ; 24 cm.
ISBN:
9780124081369
Subject Term:

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30000010334714 QA931 S22 2014 Open Access Book Book
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Summary

Summary

Elasticity: Theory, Applications, and Numerics, Third Edition , continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods.

Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides.


Author Notes

Martin H. Sadd is Emeritus Professor of Mechanical Engineering and Applied Mechanics at the University of Rhode Island. He received his Ph.D. in mechanics from the Illinois Institute of Technology and began his academic career at Mississippi State University. In 1979 he joined the faculty at Rhode Island and served as department chair from 1991 to 2000. Professor Sadd's teaching background is in the area of solid mechanics with emphasis in elasticity, continuum mechanics, wave propagation, and computational methods. He has taught elasticity at two academic institutions, in several industries, and at a government laboratory. Professor Sadd's research has been in the area of computational modeling of materials under static and dynamic loading conditions using finite, boundary, and discrete element methods. Much of his work has involved micromechanical modeling of geomaterials including granular soil, rock, and concretes. He has authored more than 70 publications and has given numerous presentations at national and international meetings.


Table of Contents

Mathematical Preliminaries
Deformation: Displacements and Strains
Stress and Equilibrium
Material Behavior-Linear Elastic Solids
Formulation and Solution Strategies
Strain Energy and Related Principles
Two-Dimensional Formulation
Two-Dimensional Problem Solution
Extension, Torsion and Flexure of Elastic Cylinders
Complex Variable Methods
Anisotropic Elasticity
Thermoelasticity
Displacement Potentials and Stress Functions
Nonhomogeneous Elasticity
Micromechanics Applications
Numerical Finite and Boundary Element Methods
Appendix A Basic Field Equations in Cartesian, Cylindrical and Spherical Coordinates
Appendix B Transformation of Field Variables Between Cartesian, Cylindrical and Spherical Components
Appendix C MATLAB Primer
Appendix D Review of Mechanics of Materials
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