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

作     者：H. NGUYEN-XUAN T. RABCZUK 

作者机构：Center for Interdisciplinary Research in Technology Ho Chi Minh City University of Technology (HUTECH) vietnam Institute of Structural Mechanics Bauhaus-Universitat Weimar Weimar 99423 Germany 

出 版 物：《Frontiers of Structural and Civil Engineering》 (结构与土木工程前沿（英文版）)

年 卷 期：2015年第9卷第4期

页      面：478-490页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 0704[理学-天文学] 0814[工学-土木工程] 

基　　金：funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) 

主　　题：cracked structure limit analysis von Mises criterion edge-based strain smoothing second-order cone programming adaptive 

摘      要：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.