Propagation of the interface in the stress-induced austenite-martensite transformation
Copyright policy )Propagation of the interface in the stress-induced austenite-martensite transformation
The paper contains the analysis of the one-dimensional phenomenological model of the interface, created in a shape memory alloy by the stress-induced austenite-martensite transformation. Making use of the simplified stress-strain relation and the formulae, describing the propagation of the surface of strong discontinuity, we prove that the interface can move with a subsonic velocity with respect to the martensite. We show the dependence of this velocity on the initial state of the material and on the temperature. We solve the evolution equation for the amplitude of discontinuity on the interface and prove that the interface will cease to exist after a finite time in the case of physically reasonable behavior of the second gradient of deformation. Finally, we show that the interface is thermodynamically stable for almost all amplitudes of discontinuity. The numerical results are based on the data, delivered for the model of I. Muller, K. Wilmanski [1].
interface is thermodynamically stable, interface cease to exist after finite time, shape memory alloy, simplified stress- strain relation, one-dimensional phenomenological model, propagation of surface of strong discontinuity, numerical results, Thermal effects in solid mechanics, all amplitudes of discontinuity, stress-induced austenite-martensite transformation, interface, case of physically reasonable behavior of second gradient of deformation, evolution equation for amplitude of discontinuity on interface, interface can move with subsonic velocity with respect to martensite, dependence of velocity on initial state of material and on temperature, Thermodynamics in solid mechanics
interface is thermodynamically stable, interface cease to exist after finite time, shape memory alloy, simplified stress- strain relation, one-dimensional phenomenological model, propagation of surface of strong discontinuity, numerical results, Thermal effects in solid mechanics, all amplitudes of discontinuity, stress-induced austenite-martensite transformation, interface, case of physically reasonable behavior of second gradient of deformation, evolution equation for amplitude of discontinuity on interface, interface can move with subsonic velocity with respect to martensite, dependence of velocity on initial state of material and on temperature, Thermodynamics in solid mechanics
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