Journal
COMPUTATIONAL MECHANICS
Volume 54, Issue 3, Pages 803-820Publisher
SPRINGER
DOI: 10.1007/s00466-014-1034-0
Keywords
Domain coupling; Variational principle; Energy based coupling method; Multiscale modeling
Funding
- U.S. Department of Energy's Advanced Simulation and Computing (ASC) Program at Sandia National Laboratories
- U.S. Department of Energy's National Nuclear Security Administration [DE-AC04-94AL85000]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available