Elsevier Applied Elasticity: Matrix and Tensor Analysis of Elastic Continua (Woodhead Publishing Series in Civil and Structural Engineering)

This up-dated version covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987. It emphasises 3-dimensional elasticity, concisely covering this important subject studied in most universities by filling the gap between a mathematical and the engineering approach. Based on the author's extensive research experience, it reflects the need for more sophisticated methods of elastic analysis than is usually taught at undergraduate level. The subject is presented at the level of sophistication for engineers with mathematical knowledge and those familiar with matrices. Readers wary of tensor notation will find help in the opening chapter. As his text progresses, the author uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis. Relatively inaccessible material with important applications receives special attention, e.g. Russian work on anisotropic materials, the technique of thermal imaging of strain, and an analysis of the San Andreas fault. Tensor equations are given in straightforward notation to provide a physical grounding and assist comprehension, and there are useful tables for the solution of problems. Contents: Matrix methods; Cartesian tensors; Curvilinear tensors; Large deformation theory; Appendices: A1: Formulae for orthogonal co-ordinate systems; A2: Harmonic and biharmonic functions; A3: Equations in vector form; A4: Direct tensor notation; A5: Polar decomposition; A6: Cosserat continua and micropolar elasticity; A7: Minimal curves and geodesics; Answers to problems; Further reading and index.