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Data · dataset · 2024

Code for Geometry of Needle-Like Microstructures in Shape-Memory Alloys

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This repository contains the code to Conti, S., Lenz, M., Rumpf, M., Verhülsdonk, J., Zwicknagl, B., Geometry of Needle-Like Microstructures in Shape-Memory Alloys.

Description

Shap. Mem.

Superelasticity (2023). Needle-like microstructures are often observed in shape memory alloys near macro-interfaces that separate regions with different laminate orientation. We study their shape with a two-dimensional model based on nonlinear elasticity, that contains an explicit parametrization of the needle profiles.

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Energy minimization leads to specific predictions for the geometry of needle-like domains. Our simulations are based on shape optimization of the needle interfaces, using a polyconvex energy density with cubic symmetry for the elastic problem, and a numerical implementation via finite elements on a dynamically changing grid.

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Mathematical Sciences · Physics
Provenance · 1 source records, 10 field assertions
SourceKeyLast seenRaw
bonndatadoi:10.60507/FK2/VZAIVF13 d agoJSON v1
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