An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics, 1st Edition

An Introduction to Continuum Mechanics, 1st Edition,Morton Gurtin,ISBN9780123097507


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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


First year graduate students studying mathematics, engineering, or physics.

Morton Gurtin

Affiliations and Expertise

Carnegie-Mellon University, Pittsburgh, Pennsylvania

An Introduction to Continuum Mechanics, 1st Edition

Preface. Acknowledgments. Tensor Algebra. Tensor Analysis. Kinematics. Mass. Momentum. Force. Constitutive Assumptions. Inviscid Fluids. Change in Observer. Invariance of Material Response. Newtonian Fluids. The Navier—Stokes Equations. Finite Elasticity. Linear Elasticity. Appendix. References. Hints for Selected Exercises. Index.

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