Comprehensive, self-contained coverage of a variety of topics ranges from the elementary theory of waves and vibrations in strings to three-dimensional theory of waves in thick plates. Emphasis on analytical and experimental results, in addition to theoretical development. Appendices contain introductory material on elasticity, transforms, experimental techniques. Over 100 problems.
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.
Mathematical Foundations of Elasticity by Jerrold E. Marsden, Thomas J. R. Hughes Graduate-level study approaches mathematical foundations of three-dimensional elasticity using modern differential geometry and functional analysis. It presents a classical subject in a modern setting, with examples of newer mathematical contributions. 1983 edition.
Chemical Oscillations, Waves, and Turbulence by Y. Kuramoto A fundamental and frequently cited book provides asymptotic methods applicable to the dynamics of self-oscillating fields of the reaction-diffusion type. Graduate level. 40 figures. 1984 edition.
Stress Waves in Solids by H. Kolsky Readable survey of theoretical core of propagation of waves in solids offers a concise account of classical theory, considers its applications to nonelastic solids, and summarizes experimental work. 1963 edition.