Bifurcation and Stability of Dissipative Systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Vienna
Springer Vienna
1993
|
| Series: | International Centre for Mechanical Sciences, Courses and Lectures
327 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (V, 291 p) |
| ISBN: | 9783709127124 9783211824375 |
| ISSN: | 0254-1971 |
| DOI: | 10.1007/978-3-7091-2712-4 |
Staff View
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| 500 | |a 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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| language | English |
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| spelling | Nguyen, Q. S. Verfasser aut Bifurcation and Stability of Dissipative Systems edited by Q. S. Nguyen Vienna Springer Vienna 1993 1 Online-Ressource (V, 291 p) txt rdacontent c rdamedia cr rdacarrier International Centre for Mechanical Sciences, Courses and Lectures 327 0254-1971 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 Physics Mechanics Mechanics, applied Mechanical engineering Engineering Civil engineering Mechanical Engineering Automotive Engineering Civil Engineering Theoretical and Applied Mechanics Ingenieurwissenschaften Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Dissipatives System (DE-588)4209641-8 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1991 Udine gnd-content Festkörper (DE-588)4016918-2 s Dissipatives System (DE-588)4209641-8 s Verzweigung Mathematik (DE-588)4078889-1 s 2\p DE-604 https://doi.org/10.1007/978-3-7091-2712-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nguyen, Q. S. Bifurcation and Stability of Dissipative Systems Physics Mechanics Mechanics, applied Mechanical engineering Engineering Civil engineering Mechanical Engineering Automotive Engineering Civil Engineering Theoretical and Applied Mechanics Ingenieurwissenschaften Verzweigung Mathematik (DE-588)4078889-1 gnd Festkörper (DE-588)4016918-2 gnd Dissipatives System (DE-588)4209641-8 gnd |
| subject_GND | (DE-588)4078889-1 (DE-588)4016918-2 (DE-588)4209641-8 (DE-588)1071861417 |
| title | Bifurcation and Stability of Dissipative Systems |
| title_auth | Bifurcation and Stability of Dissipative Systems |
| title_exact_search | Bifurcation and Stability of Dissipative Systems |
| title_full | Bifurcation and Stability of Dissipative Systems edited by Q. S. Nguyen |
| title_fullStr | Bifurcation and Stability of Dissipative Systems edited by Q. S. Nguyen |
| title_full_unstemmed | Bifurcation and Stability of Dissipative Systems edited by Q. S. Nguyen |
| title_short | Bifurcation and Stability of Dissipative Systems |
| title_sort | bifurcation and stability of dissipative systems |
| topic | Physics Mechanics Mechanics, applied Mechanical engineering Engineering Civil engineering Mechanical Engineering Automotive Engineering Civil Engineering Theoretical and Applied Mechanics Ingenieurwissenschaften Verzweigung Mathematik (DE-588)4078889-1 gnd Festkörper (DE-588)4016918-2 gnd Dissipatives System (DE-588)4209641-8 gnd |
| topic_facet | Physics Mechanics Mechanics, applied Mechanical engineering Engineering Civil engineering Mechanical Engineering Automotive Engineering Civil Engineering Theoretical and Applied Mechanics Ingenieurwissenschaften Verzweigung Mathematik Festkörper Dissipatives System Konferenzschrift 1991 Udine |
| url | https://doi.org/10.1007/978-3-7091-2712-4 |
| work_keys_str_mv | AT nguyenqs bifurcationandstabilityofdissipativesystems |