A multiscale overlapped coupling formulation for large-deformation strain localization
- A multiscale overlapped coupling formulation for large-deformation strain localization
- Sun, WaiChing
- Civil Engineering and Engineering Mechanics
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- Computational Mechanics
- We generalize the multiscale overlapped domain framework to couple multiple rate-independent standard dissipative material models in the finite deformation regime across different length scales. We show that a fully coupled multiscale incremental boundary-value problem can be recast as the stationary point that optimizes the partitioned incremental work of a three-field energy functional. We also establish inf-sup tests to examine the numerical stability issues that arise from enforcing weak compatibility in the three-field formulation. We also devise a new block solver for the domain coupling problem and demonstrate the performance of the formulation with one-dimensional numerical examples. These simulations indicate that it is sufficient to introduce a localization limiter in a confined region of interest to regularize the partial differential equation if loss of ellipticity occurs.
- Civil engineering
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- Suggested Citation:
- WaiChing Sun, Alejandr Mota, 2014, A multiscale overlapped coupling formulation for large-deformation strain localization, Columbia University Academic Commons, https://doi.org/10.7916/D8GQ6W87.