Elasticity: Theory, Applications, and Numerics

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.

Thorough yet concise introduction to linear elasticity theory and applicationsOnly text providing detailed solutions to problems of nonhomogeneous/graded materialsNew material on stress contours/lines, contact stresses, curvilinear anisotropy applicationsFurther and new integration of MATLAB softwareAddition of many new exercisesComparison of elasticity solutions with elementary theory, experimental data, and numerical simulationsOnline solutions manual and downloadable MATLAB code

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