A Fast First-Order Optimization Approach to Elastoplastic Analysis of Skeletal Structures

Yoshihiro Kanno

doi:10.1007/s11081-016-9326-1

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arXiv · 1603.08649

A Fast First-Order Optimization Approach to Elastoplastic Analysis of Skeletal Structures

Yoshihiro Kanno

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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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BibTeX RIS

Yoshihiro Kanno. 2016-05-30. A Fast First-Order Optimization Approach to Elastoplastic Analysis of Skeletal Structures. https://doi.org/10.1007/s11081-016-9326-1

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