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

作　　者：龙志飞[1] 杨燕艳[2] 岑松[3] 

机构地区：[1]中国矿业大学力学与建筑工程学院,北京100083 [2]中国建筑科学研究院,北京100013 [3]清华大学力学系,北京100084

出　　处：《中国矿业大学学报》2006年第6期792-798,共7页Journal of China University of Mining & Technology

基　　金：国家自然科学基金项目(10272063)

摘　　要：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.

关 键 词：有限元 复合材料层合板 一阶剪切变形理论 杂交化后处理 

分 类 号：TB33[一般工业技术—材料科学与工程] TU33[建筑科学—结构工程]