一种基于彼得罗夫伽辽金公式的三角形单元

摘要

Using classical linear triangle shape element functions and FE-LSPIM TRI3 element shape functions as test functions and trial functions respectively,a US-FE-LSPIM TRI3 triangle element based on Petrov-Galerkin Formulation is constructed.Numerical results of static examples show that the proposed element has good accuracy,and is more accurate than classical linear triangle element and isoparametric quad element.%将线性三角形单元和FE-LSPIM TRI3单元的形函数分别作检验函数和试函数,构造出基于彼得罗夫伽辽金公式的US-FE-LSPIM TRI3三角形单元,静力数值算例表明,该单元具有良好的精度,结果比线性三角形单元和线性四边形等参元精确。