A fast first-order optimization approach to elastoplastic analysis of skeletal structures |
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Authors: | Yoshihiro Kanno |
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Affiliation: | 1.Laboratory for Future Interdisciplinary Research of Science and Technology, Institute of Innovative Research,Tokyo Institute of Technology,Yokohama,Japan |
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Abstract: | It is classical that, when the small deformation is assumed, the incremental analysis problem of an elastoplastic structure with a piecewise-linear yield condition and a linear strain hardening model can be formulated as a convex quadratic programming problem. Alternatively, this paper presents a different formulation, an unconstrained nonsmooth convex optimization problem, and proposes to solve it with an accelerated gradient-like method. Specifically, we adopt an accelerated proximal gradient method, that has been developed for a regularized least squares problem. Numerical experiments show that the presented algorithm is effective for large-scale elastoplastic analysis. Also, a simple warm-start strategy can speed up the algorithm when the path-dependent incremental analysis is carried out. |
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