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论文类型：期刊论文

发表时间：2016-11-01

发表刊物：EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

收录刊物：SCIE、EI、Scopus

卷号：60

页面范围：122-133

ISSN号：0997-7538

关键字：Quasi-conforming; Finite element method; Fundamental analytical solutions

摘要：The basic idea of quasi-conforming method is that the strain-displacement equations are weakened as well as the equilibrium equations, and the weighted weakened strains are approximated by element nodal displacement parameters. In this paper, a new formulation of quasi-conforming method is presented. The element formulation starts from initial assumed stresses, and the strains can be derived by using the constitutive equations. Then the stress-function matrix is treated as the weighted function to weaken the strain-displacement equations. Finally, appropriate interpolation functions are chosen to calculate strain integration. As an example, a 4-node quasi-conforming plane element with drilling degrees of freedom is formulated. The formulation of the element is simple and concise, and the element is immune to the distorted mesh, which can be used to the mesh shape degenerates into a triangle or concave quadrangle. Numerical benchmark examples have suggested that the new model possesses excellent precision. (C) 2016 Elsevier Masson SAS. All rights reserved.