Contact problems with friction in general purpose finite element computer programs

Abstract A combined incremental and iterative procedure for analysis of elastostatic contact problem is presented. The method suggested may with rather small efforts be implemented in any general purpose finite element computer program. Most of the routines required by the method do already exist in a general finite element routine library. Examples of modules required are multilevelled substructuring, structural stiffness matrix assembly routines and a solver for symmetric system matrices. A wide class of ordinary elements can be used in the discretization of the the contact surfaces. Only translational freedoms are treated as unknowns in the iterative procedure. The accuracy and efficiency of the method has been verified in several applications as for example three-dimensional roller bearing calculations and shear loaded bolted joints.

[1]  L. A. Lopez,et al.  Analysis Procedure for Frictional Contact Problems Using Interface Finite Elements , 1977 .

[2]  Billy Fredriksson,et al.  Mechanical and temperature contact in fuel rod and cladding , 1978 .

[3]  P. G. Bergan,et al.  Incremental variational principles and finite element models for nonlinear problems , 1976 .

[4]  M. D. Olson,et al.  The mixed finite element method applied to two‐dimensional elastic contact problems , 1981 .

[5]  Masaru Nakazawa,et al.  Finite element incremental contact analysis with various frictional conditions , 1979 .

[6]  Nguyen Dang Hung,et al.  Frictionless contact of elastic bodies by finite element method and mathematical programming technique , 1980 .

[7]  Robert L. Spilker,et al.  A traction-free-edge hybrid-stress element for the analysis of edge effects in cross-ply laminates , 1980 .

[8]  O. C. Zienkiewicz,et al.  A note on numerical computation of elastic contact problems , 1975 .

[9]  J. J. Kalker,et al.  The computation of three‐dimensional rolling contact with dry friction , 1979 .

[10]  K. L. Johnson,et al.  Pressure between elastic bodies having a slender area of contact and arbitrary profiles , 1979 .

[11]  C. Ramakrishnan,et al.  A finite element solution for the two‐dimensional elastic contact problems with friction , 1981 .

[12]  B. Fredriksson Finite element solution of surface nonlinearities in structural mechanics with special emphasis to contact and fracture mechanics problems , 1976 .

[13]  Z. Mroz,et al.  Associated and non-associated sliding rules in contact friction problems. , 1978 .