A variational statement of quasistatic "rigid-deformable" contact problems at large strain involving generalized forces and friction

作者：Morrev P G^*

来源：Acta Mechanica, 2011, 222(1-2): 115-130.

DOI：10.1007/s00707-011-0516-9

A new statement for a certain contact problem subclass is proposed. The statement is based solely on a weak solution notion for the equilibrium equation and does not utilize both optimization theory (penalty, Lagrangian multipliers and augmented Lagrangian) and mathematical programming. An inverse theorem is proved. Numerical examples for the 2-D case are given. The approach reported in this paper allows to define the law for movement of the rigid body, which acts on the deformable one with the force changeable in compliance with the prescribed program. This is the primary distinction from other works devoted to the contact subjects, and is very important for practical applications where the rigid body is the deforming tool.

• 出版日期2011-11