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A multiscale overlapped coupling formulation for large-deformation strain localization

WaiChing Sun; Alejandr Mota

Title:
A multiscale overlapped coupling formulation for large-deformation strain localization
Author(s):
Sun, WaiChing
Mota, Alejandr
Date:
Type:
Articles
Department(s):
Civil Engineering and Engineering Mechanics
Volume:
54
Persistent URL:
Book/Journal Title:
Computational Mechanics
Abstract:
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.
Subject(s):
Civil engineering
Mechanical engineering
Publisher DOI:
https://doi.org/10.1007/s00466-014-1034-0
Item views
222
Metadata:
text | xml
Suggested Citation:
WaiChing Sun, Alejandr Mota, , A multiscale overlapped coupling formulation for large-deformation strain localization, Columbia University Academic Commons, .

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