Abstract

A simple contact-friction interface element for two-dimensional models is developed here. This model takes nodal contact stresses instead of nodal contact forces as unknowns. The element can simulate frictional slippage, decoupling and re-bonding of two bodies initially mating at a common interface. The method is based on the Finite Element Method and load incremental theory. The geometric and static constraint conditions on contact surfaces are treated as additional conditions and are included in stiffness equations. Since the stiffness matrix is unsymmetric, symmetrizing techniques are discussed in this paper. Consequently, a symmetrical stiffness matrix of the constraint element is established. The new element has the advantages of easy implementation into standard finite element programs and high speed for convergence. As an example of its application, the excavation of a tunnel with soft media and joint interfaces is simulated. The results obtained demonstrate the feasibility of using this model to perform analyses of discontinuties in rock mass, such as faults, shear zones and joints.

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