Bifurcation and Stability of Dissipative Systems

Q. S. Nguyen

ISBN 10: 3211824375 / ISBN 13: 9783211824375

Verlag: Springer Vienna, Springer Vienna Jan 1993, 1993

Beschreibung

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 300 pp. Englisch.

Bestandsnummer des Verkäufers 9783211824375

Bibliografische Details

• Titel: Bifurcation and Stability of Dissipative Systems
• Verlag: Springer Vienna, Springer Vienna Jan 1993
• Erscheinungsjahr: 1993
• Sprache: Englisch
• ISBN-10: 3211824375
• ISBN-13: 9783211824375
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 244B x 170 H x 17 T Millimeter Breite: 244 mm, Höhe: 170 mm, Tiefe: 17 mm
• Gewicht: 522 Gramm

Über diesen Titel

Inhaltsangabe

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.