Bifurcation and Stability of Dissipative Systems

✍ Scribed by Q. S. Nguyen (eds.)

Publisher: Springer-Verlag Wien
Year: 1993
Tongue: English
Leaves: 296
Series: International Centre for Mechanical Sciences 327
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

The first theme concerns the plastic buckling of structures in the spirit of Hill’s classical approach. Non-bifurcation and stability criteria are introduced and post-bifurcation analysis performed by asymptotic development method in relation with Hutchinson’s work. Some recent results on the generalized standard model are given and their connection to Hill’s general formulation is presented. Instability phenomena of inelastic flow processes such as strain localization and necking are discussed. The second theme concerns stability and bifurcation problems in internally damaged or cracked colids. In brittle fracture or brittle damage, the evolution law of crack lengths or damage parameters is time-independent like in plasticity and leads to a similar mathematical description of the quasi-static evolution. Stability and non-bifurcation criteria in the sense of Hill can be again obtained from the discussion of the rate response.

✦ Table of Contents

Front Matter....Pages i-v
Bifurcation and Localization in Rate-Independent Materials. Some General Considerations....Pages 1-44
Bifurcation and Stability of Time-Independent Standard Dissipative Systems....Pages 45-94
Theory of Bifurcation and Instability in Time-Independent Plasticity....Pages 95-152
Generic Singularities for Plastic Instability Problems....Pages 153-219
On the Bifurcation and Postbifurcation Theory for a General Class of Elastic-Plastic Solids....Pages 221-250
Tensile Instabilities at Large Strains....Pages 251-291

✦ Subjects

Mechanics; Mechanical Engineering; Automotive Engineering; Civil Engineering; Theoretical and Applied Mechanics

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