Elasticity: Theory, Applications, and Numerics

Elasticity: Theory, Applications, and Numerics, Fourth 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 treatment of large deformations, fracture mechanics, strain gradient and surface elasticity theory, and tensor analysis. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides.

Provides a thorough yet concise introduction to linear elasticity theory and applicationsOffers detailed solutions to problems of nonhomogeneous/graded materialsFeatures a comparison of elasticity solutions with elementary theory, experimental data, and numerical simulationsIncludes online solutions manual and downloadable MATLAB code

Part 1: Foundations and elementary applications 1. Mathematical Preliminaries 2. Deformation: Displacements and Strains 3. Stress and Equilibrium 4. Material Behavior – Linear Elastic Solids 5. Formulation and Solution Strategies 6. Strain Energy and Related Principles 7. Two-Dimensional Formulation 8. Two-Dimensional Problem Solution 9. Extension, Torsion, and Flexure of Elastic Cylinders

Part 2: Advanced applications 10. Complex Variable Methods 11. Anisotropic Elasticity 12. Thermoelasticity 13. Displacement Potentials and Stress Functions: Applications to Three-Dimensional Problems 14. Nonhomogeneous Elasticity 15. Micromechanics Applications 16. Numerical Finite and Boundary Element Methods