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Bifurcation and Stability of Dissipative Systems : CISM International Centre for Mechanical Sciences - Q. S. Nguyen

Bifurcation and Stability of Dissipative Systems

CISM International Centre for Mechanical Sciences

By: Q. S. Nguyen (Editor)

Paperback

Published: 1st December 2001
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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.

ISBN: 9783211824375
ISBN-10: 3211824375
Series: CISM International Centre for Mechanical Sciences
Audience: General
Format: Paperback
Language: English
Number Of Pages: 291
Published: 1st December 2001
Publisher: SPRINGER VERLAG GMBH
Country of Publication: AT
Dimensions (cm): 24.41 x 16.99  x 1.6
Weight (kg): 0.48