Nonlinear Solid Mechanics

Bifurcation Theory and Material Instability

Nonfiction, Science & Nature, Science, Physics, Mechanics, Mathematics, Technology
Cover of the book Nonlinear Solid Mechanics by Davide Bigoni, Cambridge University Press
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Author: Davide Bigoni ISBN: 9781139540414
Publisher: Cambridge University Press Publication: July 30, 2012
Imprint: Cambridge University Press Language: English
Author: Davide Bigoni
ISBN: 9781139540414
Publisher: Cambridge University Press
Publication: July 30, 2012
Imprint: Cambridge University Press
Language: English

This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviours, bifurcation and instability are developed with a special focus on the modelling 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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This book covers solid mechanics for non-linear elastic and elastoplastic materials, describing the behaviour of ductile material subject to extreme mechanical loading and its eventual failure. The book highlights constitutive features to describe the behaviour of frictional materials such as geological media. On the basis of this theory, including large strain and inelastic behaviours, bifurcation and instability are developed with a special focus on the modelling 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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