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Multi-temporal decomposition for elastoplastic ratcheting solids
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DOI：10.1016/j.cma.2023.116627.png)
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摘要
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This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. We leverage the proper generalized decomposition (PGD) to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation. In contrast with the standard incremental approach, which solves the (non-linear and computationally intensive) mechanical balance equations at every time step, the proposed PGD approach allows the mechanical balance equations to be solved exclusively for the small-time intra-cyclic response, while the large-time inter-cyclic response is described by simple scalar algebraic equations. Numerical simulations exhibiting complex cyclic responses, including a 2D problem and an application to a monopile foundation, demonstrate that PGD solutions with a limited number of space-time degrees of freedom may be obtained numerically, only requiring a few modes to accurately capture the reference response.
Keyword:
Proper generalized decomposition
Space-time decomposition
Multi-temporal
Plasticity
Ratcheting
Cyclic loading
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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