Two-dimensional finite element analysis of frictional sliding between a rigid cylinder and a shape memory alloy half-space

Abstract

The finite element method is used to simulate frictional sliding contact between a rigid cylinder and a shape memory alloy (SMA) half-space. A set of parametric studies are conducted to investigate the effects of typical SMA phenomenological behaviors such as the influence of temperature on the constitutive behavior, large recoverable strains and the difference between the elastic moduli of the SMA austenite and martensite phases on the sliding response. The simulations show that significant residual stresses are present far away from the contact region for sliding at temperatures below the austenitic finish temperature. The simulations also reveal that the maximum von Mises stress in the half-space during sliding contact decreases for higher values of recoverable transformation strains and for a SMA with a more compliant stress-induced martensite phase compared to the austenite phase. In contrasting the effects of the energy dissipation mechanisms of a pseudoelastic and a conventional elastic-plastic half-spaces on the sliding response, it is shown that the former continues to dissipate energy after repeated sliding cycles while the latter ceases to dissipate energy upon reaching an elastic shakedown state.