Thermo-mechanically coupled phase-field fracture model considering elastocaloric effect of shape memory alloy

Shen Sun, Wei Tang, Weiwei He, Igor Polozov, Min Yi · arXiv · 2026

A coupled phase-field fracture model for Mn-Cu shape memory alloys incorporates elastocaloric thermal strain from martensitic transformation to simulate crack growth and thermally assisted toughening.

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Plain English summary

The study addresses a modeling challenge: how cracks form in shape memory alloys when martensitic transformation and the elastocaloric effect (eCE) are both active. The authors propose a thermo-mechanically coupled phase-field fracture model that treats the process as non-isothermal. In the model, thermal strain from eCE and eigen strain from the phase transition are both included, and thermal conductivity is reduced as cracking progresses. They validate the approach using finite element method comparisons and simulate tensile fracture properties for Mn-Cu SMA. The simulations indicate that martensite variants nucleate near the crack initiation stress concentration and spread at about a 45° angle. The results suggest that thermal expansion strain from eCE can increase the critical load capacity, and that phase-transition kinetics and orientation angle influence both the strength/temperature change of eCE and the deformation capacity. The authors frame this as a possible fracture-resistance strategy for elastocaloric devices.

Why this matters

A thermo-mechanically coupled phase-field fracture model for SMA that explicitly includes non-isothermal martensitic transformation and the elastocaloric effect, accounting for thermal strain from eCE and eigen strain from phase transition plus fracture-order-dependent thermal conductivity degradation. The work is presented as a proposed model with simulation and finite element validation; no experimental demonstration or commercialization evidence is provided in the abstract.

Key findings

  • Martensite variant nucleation occurs at stress concentrations where the crack initiates, and spreads at an angle of about 45°.
  • Thermal expansion strain from elastocaloric effect can strengthen the critical load capacity.
  • Larger phase-transition kinetic parameter and larger orientation angle enhance eCE strength and temperature change but reduce deformation capacity.
  • The phase-field model supports thermal-mechanically coupled toughening of SMA.
  • The model suggests a fracture-resistance strategy using eCE for elastocaloric devices.

Limitations

The abstract does not specify experimental validation; it states validation with finite element method and simulated tensile fracture properties. Details of model parameters, boundary conditions, and quantitative agreement are not provided in the abstract.

Publication

Publisher
arXiv
Publication date
April 20, 2026
Research type
Preprint
arXiv
2604.18666
Access
open

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Method note: Summaries and ratings on this page are generated by AI from the abstract only. Read the original paper for full context. · Model: gpt-5.4-nano-2026-03-17