Characteristics of solutions in softening plasticity and path criterion
Article
| Article Title | Characteristics of solutions in softening plasticity and path criterion |
|---|---|
| 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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