接触问题的可动边界变分原理

Variational Principle of the Variable Boundary for the Contact Problem

提出固体接触问题的可动边界变分原理,考虑了在接触面上待解函数具有不同的间断性、不同物理性质的固体之间的接触及接触面的边界可动性,确切地描述了固体接触问题。当略去边界可动性的影响时,它就退化为用古典变分原理来解决接触问题的变分公式。

The variational principle for the contact problem is derived. The different discontinuities on the contact interfaces of unknown functions, the contact between solids with different physical properties and the boundary variability of contact surfaces are also considered. Contact problems between solids are exactly described. If the effect of boundary variability is missed, the problem is degenerated into a variational formula for solving contact problem with classical variational principle.