Nonlinear solid mechanics. A continuum approach for engineering. (English) Zbl 0980.74001

Chichester: Wiley. xiv, 455 p. (2000).
The book describes an important field of contemporary continuum mechanics – the nonlinear mechanics of solids. It presents the nonlinear mechanics of solid bodies and subsequent thermodynamics from engineering point of view, on the one hand, and fills the gap between theoretical modelling and numerical applications, on the other hand. In the first part of the book, the author presents the classical theory of nonlinear continua, essentially due to C. Truesdell and W. Noll. After an introduction describing vectors and tensors, the author analyzes kinematic and dynamic concepts concerning the nonlinear behaviour of solids. This part ends with a presentation of balance principles, and with some aspects of the objectivity of tensor fields. Chapters 6 and 7 form the central, and the original, part of the book. Chapter 6 is concerned with finite elasticity and finite viscoelasticity, while chapter 7 is devoted to the thermodynamics of such materials. Finally, chapter 8 covers the most important variational principles in nonlinear solid mechanics, which could be useful in formulating various approximation techniques, such as finite element method. The book provides a lot of examples and exercises, almost 300 references, and an extended index. It is addressed to graduate and post-graduate students, and to researchers and practitioners in all branches of engineering, applied mathematics, physics, material science, and biomechanics.


74-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids
74B20 Nonlinear elasticity
74A15 Thermodynamics in solid mechanics
74D10 Nonlinear constitutive equations for materials with memory