Phase transformations and compatibility in helical structures

TL;DR

This paper systematically analyzes phase transformations between helical structures, identifying conditions for compatibility and types of interfaces, with implications for designing materials with low hysteresis and novel actuation properties.

Contribution

It provides necessary and sufficient conditions for phase compatibility in helical structures and explores interface types and mobility, advancing material design for low hysteresis applications.

Findings

Four types of compatible interfaces identified: vertical, horizontal, helical, elliptical.

Conditions for interface compatibility derived and illustrated.

Potential for designing artificial muscles with low hysteresis and fatigue resistance.

Abstract

We systematically study phase transformations from one helical structure to another. Motivated in part by recent work that relates the presence of compatible interfaces with properties such as the hysteresis and reversibility of a phase transformation [35, 33, 12, 28], we give necessary and sufficient conditions on the structural parameters of two helical phases such that they are compatible. We show that, locally, four types of compatible interface are possible: vertical, horizontal, helical and elliptical. We discuss the mobility of these interfaces and give examples of systems of interfaces that are mobile and could be used to fully transform a helical structure from one phase to another. These results provide a basis for the tuning of helical structural parameters so as to achieve compatibility of phases. In the case of transformations in crystals, this kind of tuning has led to materials with exceptionally low hysteresis and dramatically improved resistance to transformational fatigue. Compatible helical transformations with low hysteresis and fatigue resistance would exhibit an unusual shape memory effect involving both twist and extension, and may have potential applications as new artificial muscles and actuators.