Bifurcation and stability of dissipative systems

Front Cover
Springer Verlag, 1993 - Mathematics - 291 pages
0 Reviews
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.

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.


Bifurcation and Stability of TimeIndependent Standard Dissipative Systems
Theory of Bifurcation and Instability in TimeIndependent Plasticity

4 other sections not shown

Other editions - View all

Common terms and phrases