用反函数求解等参数单元应变矩阵

Solve strain matrix of isoparametric element using inverse function

针对传统方法在求解等参数单元应变矩阵[B]时的复杂性,介绍了一种显式方法,整个求解过程不需用到隐函数的导数和逆矩阵,并以四结点等参元为例介绍了整个求解过程,并引入了符合数学习惯的Jacobi矩阵表达式,为求解等参数单元应变矩阵提供了参考依据。

In light of the complexity of traditional method in solving strain matrix of isoparametric element, the author introduces a display method that the whole solving process needn＇t use implicit function＇s differential coefficient or inverse matrix, illustrates the whole solving process taking 4-node isoparametric element as an example, and introduces Jacobi matrix expression accorded with mathematics habits, which to offer referential basis to solve strain matrix of isoparametric element.