Characteristics of solutions in softening plasticity and path criterion
Article
Article Title | Characteristics of solutions in softening plasticity and path criterion |
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ERA Journal ID | 3821 |
Article Category | Article |
Authors | Chen, G. (Author) and Baker, Graham (Author) |
Journal Title | Structural Engineering and Mechanics |
Journal Citation | 16 (2), pp. 141-152 |
Number of Pages | 12 |
Year | 2003 |
Place of Publication | Republic of Daejeon, Korea |
ISSN | 1225-4568 |
1598-6217 | |
Abstract | Characteristics of solutions of softening plasticity are discussed in this article. The localized and non-localized solutions are obtained for a three-bar truss and their stability is evaluated with the aid of the second-order work. Beyond the bifurcation point, the single stable loading path splits into several post-bifurcation paths and the second-order work exhibits several competing minima. Among the multiple post-bifurcation equilibrium states, the localized solutions correspond to the minimum points of the second-order work, while the non-localized solutions correspond to the saddles and local maximum points. To determine the real post-bifurcation path, it is proposed that the structure should follow the path corresponding to the absolute minimum point of the second-order work. The proposal is further proved equivalent to Bazant's path criterion derived on a thermodynamics basis. |
Keywords | bifurcation; energy minimization; path criterion; softening plasticity; strain localization; structural analysis; structural loads; thermodynamics; trusses |
ANZSRC Field of Research 2020 | 400510. Structural engineering |
490399. Numerical and computational mathematics not elsewhere classified | |
Public Notes | Copyright: |
Byline Affiliations | Faculty of Engineering and Surveying |
https://research.usq.edu.au/item/9zx54/characteristics-of-solutions-in-softening-plasticity-and-path-criterion
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