南通大学学报（自然科学版）

文章提出了将已有的薄板三角形单元扩展为无剪切闭锁现象的厚薄板通用单元的一般方法。对于薄板极限情况 ,这种厚薄板通用单元自动退化为原有的薄板单元 ,完全无剪切闭锁现象发生。应用此法构造的的厚薄板通用三角形单元LFT1自由度少 ,推导简明并具有通用性 ,能够通过分片检验。数值算例表明单元LFT1对薄板和厚板都具有较高的精度 ,适用于实际工程计算

A universal method building the9d.o.f.triangle element suitable for analysing both thin and thick plates is derived in this paper.The elements degenerate to the thin plate elements automatically when the plate thickness approaches the limit of thin plates.So the shear locking will be avoided.One9d.o.f.locking-free thick plate triangle element is constructed by usˉing this method.Numerical examples showthat the element is effective for a large range of thickness-span ratio from very thin plate to thick plate,and has the advantages of high accuracy,good convergence and stability.