This graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It is directed to mathematicians, engineers and physicists who wish to see this classical subject in a modern setting with examples of newer mathematical contributions. Relevant problems appear throughout the text. 1983 edition.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis by Thomas J. R. Hughes Text for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.
Wave Motion in Elastic Solids by Karl F. Graff Self-contained coverage of topics ranging from elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Over 100 problems.
Elasticity: Tensor, Dyadic, and Engineering Approaches by Pei Chi Chou, Nicholas J. Pagano Exceptionally clear text treats elasticity from engineering and mathematical viewpoints. Comprehensive coverage of stress, strain, equilibrium, compatibility, Hooke's law, plane problems, torsion, energy, stress functions, more. 114 illustrations. 1967 edition.
Non-Linear Elastic Deformations by R. W. Ogden Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
Complex Variable Methods in Elasticity by A. H. England Plane strain and generalized plane stress boundary value problems of linear elasticity are discussed as well as functions of a complex variable, basic equations of 2-dimensional elasticity, plane and half-plane problems, more. 1971 edition. Includes 26 figures.
Plasticity Theory by Jacob Lubliner This self-contained text is devoted to classical quasistatic problems of rate-independent plasticity theory, discussing the finite element method for both viscoplastic and rate-independent plastic solids. 1990 edition.
Theory of Elastic Stability by Stephen P. Timoshenko, James M. Gere Written by world-renowned authorities on mechanics, this classic ranges from theoretical explanations of 2- and 3-D stress and strain to practical applications such as torsion, bending, and thermal stress. 1961 edition.
