三角形层合板单元及应力解的杂交化后处理

A New Triangular Displacement-Based Element for the Analysis of Laminated Composite Plates and Improvement Stress Solutions by a Hybrid Procedure

基于一阶剪切变形理论(FSDT),构造了一个新型无闭锁的三角形复合材料层合板单元CGCLLM-T9,并根据Hellinger-Reissner变分原理,运用应力杂交化后处理方法来改善此位移型复合材料板单元所得应力解的精度,使得此单元能够简单、准确地预测出层合板的应力,特别是层间横向剪应力,本单元可适用于复杂边界问题．数值算例表明,此单元不仅自由度少,列式简单,且可以得到较高精度的位移解和应力解;是一种性能较好的厚薄板通用的复合材料层合板三角形单元．

Based on the first-order-shear deformation theory （FSDT）, a new simple displacement-based, triangular bending element for the analysis of laminated composite plates, called CGCLLM-T9, was presented in this paper, without shear locking. With Hellinger-Reissner, a new simple hybrid procedure was proposed to improve the stress solutions of such displacement-based elements. The results show that both displacements in any condition and stresses in the thick plates, especially the transverse shear stresses, can be obtained. In the thin plates, except for the transverse shear stresses, the others can be obtained. This element is fit to solve the problem with complex borderline. Numerical examples show that the proposed element is of good performance for moderately thick and very thin composite plates.