广义微分的统一形式及其在弹性力学中的应用

Unified Form of Generalized Differential and its Application in Elastic Mechanics

介绍了外微分、Hodge星算子和余微分,提出了广义微分的统一形式。应用广义微分解释了拉普拉斯算子,并给出了弹性力学中空间平衡微分方程等效描述形式。

Exterior differential,Hodge star-operator and residual differential are introduced,and the unified form of generalized differential is put forward in this paper.Finally,Laplace operator is interpreted by generalized differential,and expression of equivalent describing balanced differential equation of space elastic mechanics is obtained.