Nonlinear Solid Mechanics

Bifurcation Theory and Material Instability

By: Davide Bigoni

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Hardcover | 30 July 2012

At a Glance

Hardcover
554 Pages

Dimensions(cm)
25.4 x 17.78 x 3.02

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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.

Industry Reviews

"The book will be useful to engineers who want to be acquainted with an up-to-date presentation of nonlinear materials. It will also be useful to mathematicians who are interested in comprehensive and realistic modelling of such non linear materials." -Mathematical Reviews

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Introduction
Elements of tensor algebra and analysis
Solid mechanics at finite strains
Isotropic nonlinear hyperelasticity
Solutions of simple problems in finitely deformed nonlinear elastic solids
Constitutive equations and anisotropic elasticity
Yield functions with emphasis on pressure-sensitivity
Elastoplastic constitutive equations
Moving discontinuities and boundary value problems
Global conditions of uniqueness and stability
Local conditions for uniqueness and stability
Bifurcation of elastic solids deformed incrementally
Applications of local and global uniqueness and stability criteria to non-associative elastoplasticity
Wave propagation, stability and bifurcation
Post-critical behaviour and multiple shear band formation
A perturbative approach to material instability
Table of Contents provided by Publisher. All Rights Reserved.

Nonlinear Solid Mechanics

Bifurcation Theory and Material Instability

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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