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Bifurcation and Stability of Dissipative Systems

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 genera...

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Bibliographic Details
Other Authors: Nguyen, Q.S. (Editor)
Format: eBook
Language:English
Published: Vienna Springer Vienna 1993, 1993
Edition:1st ed. 1993
Series:CISM International Centre for Mechanical Sciences, Courses and Lectures
Subjects:
Mechanics, Applied
Theoretical And Applied Mechanics
Classical Mechanics
Automotive Engineering
Mechanical Engineering
Civil Engineering
Mechanics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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520 |a 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 

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