Non affine deformations and shape recovery in solids undergoing martensitic transformations

TL;DR

This paper investigates how solids recover their shape during martensitic transformations, using molecular dynamics simulations to analyze the role of non-affine zones in shape recovery.

Contribution

It identifies the conditions involving non-affine zones that are essential for shape recovery in solids undergoing square to rhombic lattice transformations.

Findings

Shape recovery depends on the nature and dynamics of non-affine zones.

Necessary and sufficient conditions for shape recovery are established.

The study includes the triangular lattice as a special case.

Abstract

We study, using molecular dynamics simulations, the kinetics of shape recovery in a model solid undergoing transformations from square to a general rhombic lattice, the triangular lattice being included as a special case. We determine the necessary and sufficient conditions for such shape recovery in terms of the nature and dynamics of transient and localized {\em non-affine zones} which inevitably accompany the transformation.