Loss of Stability of a Rod from a Shape-Memory Alloy Caused by Reverse Martensitic Transformation

Abstract

In various formulations (unbound, coupled, and double-coupled) within the framework of the concepts of “Fixed load” and “Variable load”, analytical solutions to the problem of the loss of stability of a pivotally fixed rod made of an alloy with a shape memory, the material of which undergoes inverse thermoelastic phase transformation under the action of constant compression loads in the presence of initial phase — structural compression strains. The formulation of the concept of “Variable load” is justified, within which the solution for the critical length does not depend on the magnitude of the perturbations.