Simulation of arch dam – foundation interaction with a new friction interface element

Abstract

SUMMARYA new model for three-dimensional non-linear contact problems with irreversible friction is presented here for the interaction between the rock foundation and an arch dam structure. Based on the finite element method and load incremental theory, a constraint contact element with displacements and contact stresses as node parameters is developed. In this approach, four contact conditions are considered, i.e. fixed, slip, free and mixed. This model can simulate frictional slippage, decoupling and re-bonding of two bodies initially mating at a common interface or with any initial gaps. Furthermore boundary conditions for this element are discussed and treatment measures proposed. This method is shown to be effective and to have the advantage of being easily implemented into standard finite element programs. Solutions are obtained for a centrally loaded, simply supported composite beam and for an end-loaded elastica with initial gaps in regional contact with a rigid surface. The results obtained for these examples are compared to the plane stress solutions by contact friction analysis. As an application example, Quanshui arch dam located in Ruyuan County of Guangdong Province in southern China is simulated with the new element.

Modelling of membrane bonding response: part 1 development of an adhesive contact interface element

“…For example, if a node pair is in a free state and overlap occurs, the state is set to stick so that a relative displacement correction can be applied in the next iteration to prevent this overlap. More details about state transitions with their corresponding prescribed relative displacements or contact stresses can be found in Swoboda and Lei (1994).…”