Elsevier

Procedia Computer Science

Volume 18, 2013, Pages 1068-1076
Procedia Computer Science

Isogeometric Analysis of Coupled Thermo-mechanical Phase-field Models for Shape Memory Alloys Using Distributed Computing

https://doi.org/10.1016/j.procs.2013.05.272Get rights and content
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Abstract

A variational formulation and numerical implementation of the phase-field models for shape memory alloys using distributed computing are reported in the paper. The numerical implementation is based on the isogeometric analysis framework, consti- tuting the rich NURBS basis functions. The phase field models are developed using the strain based order parameter and the Ginzburg-Landau theory. The fourth order fully coupled thermo-mechanical 2D and 3D models are solved with the isogeo- metric finite element methodology in the distributed computing environment. The weak scaling performance studies on the 2D model demonstrate current challenges and open a way for future improvements.

Keywords

Isogeometric analysis
martensitic transformations
phase-field model
Ginzburg-Landau theory
nonlinear thermo-elasticity
distributed computing

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Selection and peer review under responsibility of the organizers of the 2013 International Conference on Computational Science.