Elasticity : theory applications and numerics 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 Elasticity is concerned with determining the strength and load carrying ability of engineering structures including buildings bridges cars planes and thousands of machine parts that most of us never see. It is especially important in the fields of mechanical civil aeronautical and materials engineering. Elasticity: Theory Applications and Numerics 2e provides a concise and organized presentation and development of the theory of elasticity moving from solution methodologies formulations and strategies into applications of contemporary interest including fracture mechanics anisotropic composite materials micromechanics and computational methods. Developed as a text for a one or two semester graduate elasticity course this new edition is the only elasticity text to provide coverage in the new area of non homogenous or graded materal behavior. End of chapter exercises throughout the book are fully incorporated with the use of MATLAB software. Key Features: * Provides a thorough yet concise introduction to general elastic theory and behavior * Demonstrates numerous applications in areas of contemporary interest including fracture mechanics anisotropic composite and graded materials micromechanics and computational methods * The only current elasticity text to incorporate MATLAB into its extensive end of chapter exercises * The books organization makes it well suited for a one or two semester course in elastictiy Features New to the Second Edition: * First elasticity text to offer a chapter on non homogenous or graded material behavior * New appendix on review of undergraduate mechanics of materials theory to make the text more self contained * 355 end of chapter exercises 30% NEW to this edition