This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure
A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples of problems, many with solutions.
The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics. This book presents an introduction into the entire science of Continuum Mechanics in three parts.
Two substantial appendixes cover all of the mathematical background necessary to understand the text as well as results of representation theorems. Suitable for independent study, this volume features 280 exercises and 170 references.
Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.
This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses.
The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences. This concise textbook develops step by step the fundamental principles of continuum mechanics.
The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; ...
This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity.
This revised text provides a clear introduction to modern continuum mechanics aimed at beginners in the field. The concept of tensors is introduced through the idea of linear transformation. The...
Cook, R.D. and Young, W.C. Advanced Mechanics of Materials, Prentice Hall, 2nd Edition, 1999. Crowe, M.J., A History of Vector Calculus, Mineola, NY: Dover, 1967. Dym, C.L., Little, P., and Orwin, E., Engineering Design: A Project-Based ...