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portada bifurcation and stability of dissipative systems
Type
Physical Book
Illustrated by
Publisher
Year
2001
Language
Inglés
Pages
291
Format
Paperback
Dimensions
24.4 x 17.0 x 1.6 cm
Weight
0.48 kg.
ISBN
3211824375
ISBN13
9783211824375

bifurcation and stability of dissipative systems

Q. S. Nguyen (Illustrated by) · Springer · Paperback

bifurcation and stability of dissipative systems - Nguyen, Q. S.

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Synopsis "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 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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