Frontiers of Structural and Civil Engineering
>> 2015,
Volume 9,
Issue 4
doi:
10.1007/s11709-015-0317-7
RESEARCH ARTICLE
Adaptive selective ES-FEM limit analysis of cracked plane-strain structures
1. Center for Interdisciplinary Research in Technology, Ho Chi Minh City University of Technology (HUTECH), Vietnam.2. Institute of Structural Mechanics, Bauhaus-Universit?t Weimar, Weimar 99423, Germany
Accepted: 2015-11-19
Available online: 2015-11-26
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Abstract
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.
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