# Crack Growth Behavior in NiTi Shape Memory Alloys Under Mode-I Isothermal Loading: Effect of Stress State

## TL;DR

This study uses finite element analysis to investigate crack growth in NiTi shape memory alloys under mode-I loading, highlighting the effects of stress state and crack resistance behavior.

## Contribution

It introduces a finite element model with VCCT for NiTi SMA fracture analysis under different stress conditions, incorporating material characterization data.

## Key findings

- Crack growth behavior varies significantly between plane strain and plane stress conditions.
- Load-displacement responses reveal differences in crack resistance R-curves under different stress states.
- Finite element results align with experimental material properties and fracture criteria.

## Abstract

Fracture behavior in nickel-titanium (NiTi) shape memory alloys (SMAs) subjected to mode-I, isothermal loading is studied using finite element analysis (FEA). Compact tension (CT) SMA specimen is modeled in Abaqus finite element suite and crack growth under displacement boundary condition is investigated for plane strain and plane stress conditions. Parameters for the SMA material constitutive law implemented in the finite element setup are acquired from characterization tests conducted on near-equiatomic NiTi SMA. Virtual crack closure technique (VCCT) is implemented where crack is assumed to extend when the energy release rate at the crack-tip becomes equal to the experimentally obtained material-specific critical value. Load-displacement curves and mechanical fields near the crack-tip in plane strain and plane stress cases are examined. Moreover, a discussion with respect to the crack resistance R-curves calculated using the load-displacement response for plane strain and plane stress conditions is presented.