Bifurcation and Stability of Dissipative Systems (CISM International Centre for Mechanical Sciences)

Q.S. Nguyen

ISBN 10: 3211824375 / ISBN 13: 9783211824375

Edité par Springer 1993-01-12, 1993

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N° de réf. du vendeur 6666-IUK-9783211824375

Détails bibliographiques

• Titre: Bifurcation and Stability of Dissipative Systems (CISM International Centre for Mechanical Sciences)
• Éditeur: Springer 1993-01-12
• Date de parution: 1993
• Langue: anglais
• ISBN à 10 chiffres: 3211824375
• ISBN à 13 chiffres: 9783211824375
• Reliure: Paperback
• État de l'article: New

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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 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.