期刊
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
卷 29, 期 5, 页码 801-809出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.euromechsol.2010.05.003
关键词
Orthotropic materials; Hybrid finite element method; Fundamental solutions
类别
A new hybrid finite element formulation is presented for solving two-dimensional orthotropic elasticity problems. A linear combination of fundamental solutions is used to approximate the intra-element displacement fields and conventional shape functions are employed to construct elementary boundary fields, which are independent of the intra-element fields. To establish a linkage between the two independent fields and produce the final displacement-force equations, a hybrid variational functional containing integrals along the elemental boundary only is developed. Results are presented for four numerical examples including a cantilever plate, a square plate under uniform tension, a plate with a circular hole, and a plate with a central crack, respectively, and are assessed by comparing them with solutions from ABAQUS and other available results. (C) 2010 Elsevier Masson SAS. All rights reserved.
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