Adaptive selective ES-FEM limit analysis of cracked plane-strain structures

This paper presents a simple and efficient approach for predicting the plastic limit loads in cracked plane- strain structures. We use two levels of mesh repartitioning for the finite element limit analysis. The master level handles an adaptive primal-mesh process through a dissipation-based indicat...

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Bibliographic Details
Published in:Frontiers of Structural and Civil Engineering 2015-12, Vol.9 (4), p.478-490
Main Authors: NGUYEN-XUAN, H., RABCZUK, T.
Format: Article
Language:English
Subjects:
adaptive
analysis
Cities
Civil Engineering
cone
Countries
cracked
cracked structure
criterion
edge-based
edge-based strain smoothing
Engineering
limit
limit analysis
Mises
programming
Regions
Research Article
second-order
second-order cone programming
smoothing
strain
structure
von
von Mises criterion
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Summary:This paper presents a simple and efficient approach for predicting the plastic limit loads in cracked plane- strain structures. We use two levels of mesh repartitioning for the finite element limit analysis. The master level handles an adaptive primal-mesh process through a dissipation-based indicator. The slave level performs the subdivision of each triangle into three sub-triangles and constitutes a dual mesh from a pair of two adjacent sub-triangles shared by common edges of the primal mesh. Applying a strain smoothing projection to the strain rates on the dual mesh, the incompressibility constraint and the flow rule constraint are imposed over the edge-based smoothing domains and everywhere in the problem domain. The limit analysis problem is recast into the compact form of a second-order cone programming （SOCP） for the purpose of exploiting interior-point solvers. The present method retains a low number of optimization variables. It offers a convenient way for designing and solving the large-scale optimization problems effectively. Several benchmark examples are given to show the simplicity and effectiveness of the present method.
ISSN:2095-2430
2095-2449
DOI:10.1007/s11709-015-0317-7