论文信息 - The ‘penalty function’ method for problems of contact

The ‘penalty function’ method for problems of contact

Abstract A finite and infinite element calculation program has been developed to study the problem of contact between a sphere and half-space with the ‘penalty function’. The Hertz problem has been analyzed and the numerical results obtained are in fairly good accordance with the analytical results given by Rekach [ Manual of the Theory of Elasticity , Mir, Moscow (1979)].

[1] Nils Endahl,et al. On the finite element solution of the elastoplastic axisymmetric Hertz contact problem , 1986 .

[2] B. T. Polyak,et al. The convergence rate of the penalty function method , 1971 .

[3] G. Donida,et al. Infinite elements in problems of geomechanics , 1988 .

[4] R. Olivito,et al. Unbonded contact of a Mindlin plate on an elastic half-space , 1985 .

[5] Heinrich Werner,et al. Implementation of nonlinear boundary conditions in finite element analysis , 1982 .

[6] J. N. Reddy. The penalty function method in mechanics - A review of recent advances , 1982 .

[7] G. Fichera. Boundary Value Problems of Elasticity with Unilateral Constraints , 1973 .

[8] H. Rothert,et al. On geometrically nonlinear contact problems with friction , 1985 .