Internal friction due to thermoelastic martensitic transformation

A physical model and phenomenological treatment are developed to derive an expression for internal friction associated with the thermoelastic martensitic transformation. Special attention is given to the effect of pseudoelastic hysteresis(h), which has never been previously addressed. The amplitude dependence of the internal friction is discussed in various ranges of stress amplitude with respect to the critical stresses (σ_cl, σ_c2) for stress-induced martensitic transformation. In the case where the applied stress amplitude is much higher than the critical stresses, the internal friction, due to stress-induced martensitic transformation, is found to be linearly dependent upon the reciprocal of the stress amplitude, in good agreement with the experimental results.