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《Journal of Dalian University of Technology》 1979-02
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Analysis of Elastic Contact Problems by Mixed Approach using Finite Element Methods

Chen Wan-ji  
This paper deals with elastic contact problems, which belongs to category of. geometrical nonlinearity with small deformation. The nonlinearity of elastic contact problems is due to the contact conditions of the points contacted. The mixed approach suggested by this paper are suited for solving the local nonlinear problems. The general ideas of this mixed approach using F. F. M are as following: after the discretion of elastic bodies, according the displacement field assumed, we can get the stiffness matrix of elastic bodies, thus the matrix of influence coefficients of contact stress at the contacting boundaries can be determined, further more regarding the contact stresses as unknown variables, the compatibility conditions at contact boundaries then were given. As a matter of fact, we thus performed a procedure which localized the nonlinearity of the problem. Calculations points out that quite evident effects both in computational speed and storage saving are obtained by mixed approach of this paper comparing with general Finite Element Methods.
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