含剪切自由度的厚薄通用三角形层合板单元  

A New Laminated Plate Element CDST-S6 for Thin or Thick Plates

作　　者：田娇[1,2] 蔡永昌[1,2] 田龙岗[1,2] 戴子枢[1,2] 

机构地区：[1]同济大学土木工程学院,上海200092 [2]同济大学岩土及地下工程教育部重点实验室,上海200092

出　　处：《同济大学学报（自然科学版）》2013年第12期1781-1786,共6页Journal of Tongji University:Natural Science

基　　金：国家"九七三"重点基础研究发展计划(2011CB013800);长江学者和创新团队发展计划(IRT1029)

摘　　要：基于1阶剪切变形理论(FSDT),构造了一种新型的消除剪切闭锁的三角形层合板单元,简记为CDST-S6单元.该单元剪应变场及单元转角场由结点包含有2个剪切自由度的DST-S6单元理论确定,不需要借助减缩积分,假设应力或应变等辅助数学手段,也不会产生对稳定性带来影响的附加零能模式,较好地解决了厚薄板单元的剪切闭锁难题,且其公式推导过程和最终的表达式比目前能考虑剪切变形的绝大多数层合板单元更为简单,可方便地进行有限元数值求解分析.数值算例表明,CDST-S6单元有较高的精度和收敛性,是一种厚薄通用的优质层合板单元.Based on the first-order shear deformation laminated plate theory （FSDT）, a new three-node triangular laminated plate element, labelled here as composite discrete shear triangular element with 6 extra shear degrees of freedom （ CDST-S6 ）, is proposed. The transverse shear strains and rotations of the element are the same with DST- $6. The proposed CDST-S6 can eliminate the shear locking without any numerical expediencies such as the reduced integration, the use of the assumed strains/stresses, or the need for the stabilization of＇ the attendant zero energy mode. The expression of the CDST-S6 is simple in formulation and easy to be implemented by using finite element method.Numerical examples indicate that the element has high accuracy and high convergence rates for solving thin or thick laminated plates.

关 键 词：1阶剪切变形理论 剪切闭锁 层合板 剪切自由 度 

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]