【摘要】 提出一种新型叠层三角形单元。这种单元的形函数结构最简单，单元的相容性处理最方便，并且对于线性场问题其固有矩阵计算量最少，对于非线性问题其单元分析时间可大大缩短。分析了这种叠层单元的完备性和收敛性；以计算实例验证了收敛性的有关结论；证实了这种叠层单元具有熟知的Ｌａｇｒａｎｇｅ型高阶单元和Ａｐｅａｎｏ及ＳｚａｂｏＢ．Ａ．提出的叠层单元相同的计算精度。更多还原

【Abstract】 A new calculation method of hierarchical triangular elemants is proposed in this paper.The elements are featured with the simplest shape functions,the simplest metod for compatability,the least computation of stiff matrix for linear problems and the least computation of element analysis for non linear problems.Completeness of the shape functions and convergence of the elements are analysized.Numerical examples are given to show that the conclusions for convergence are correct.更多还原