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On an approach for solving elasto-plastic contact problems. (Russian) Zbl 0623.73123

Boundary value problems, Interuniv. Collect. sci. Works, Perm’ 1986, 122-130 (1986).
[For the entire collection see Zbl 0608.00009.]
The problem of interaction of an elasto-plastic body with a rigid support is considered neglecting frictional forces in the contact surface. In the formulation of the problem the physical relations of the theory of isothermal yielding are used. The classical approach is reduced to a variational inequality, for the solution of which the method of Lagrange multipliers with regularization of the Lagrangian is proposed. Questions of existence and uniqueness of the solution are discussed.
Reviewer: G.Stiller

MSC:

74A55 Theories of friction (tribology)
74M15 Contact in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74C99 Plastic materials, materials of stress-rate and internal-variable type

Citations:

Zbl 0608.00009