Bifurcation and Stability of Dissipative Systems

0

ISBN 10: 0387824375 / ISBN 13: 9780387824376

Published by Springer Verlag, 1993

New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEOCT25-85185

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 solids. 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.

Bibliographic Details

Title: Bifurcation and Stability of Dissipative ...
Publisher: Springer Verlag
Publication Date: 1993
Binding: Soft cover
Condition: Brand New