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Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability

Nonlinear Solid Mechanics: Bifurcation Theory and Material Instability

Hardcover

General SciencePhysics

ISBN10: 1107025419
ISBN13: 9781107025417
Publisher: Cambridge
Published: Jul 30 2012
Pages: 554
Weight: 2.40
Height: 1.20 Width: 7.00 Depth: 9.90
Language: English
This book covers solid mechanics for nonlinear elastic and elastoplastic materials, describing the behavior of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behavior of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviors, bifurcation and instability are developed with a special focus on the modeling of the emergence of local instabilities such as shear band formation and flutter of a continuum. The former is regarded as a precursor of fracture, while the latter is typical of granular materials. The treatment is complemented with qualitative experiments, illustrations from everyday life, and simple examples taken from structural mechanics.

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