E-Book, Englisch, Band 327, 291 Seiten, eBook
Nguyen Bifurcation and Stability of Dissipative Systems
Erscheinungsjahr 2014
ISBN: 978-3-7091-2712-4
Verlag: Springer Wien
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 327, 291 Seiten, eBook
Reihe: CISM International Centre for Mechanical Sciences
ISBN: 978-3-7091-2712-4
Verlag: Springer Wien
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
