International Conference on Computational Science , ICCS 2013 Isogeometric Analysis of Coupled Thermo-Mechanical Phase-Field Models for Shape Memory Alloys Using Distributed Computing
International Conference on Computational Science , ICCS 2013 Isogeometric Analysis of Coupled Thermo-Mechanical Phase-Field Models for Shape Memory Alloys Using Distributed Computing
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发表时间：
2013
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通讯作者：
R. Dhotea;H. Gomezb;R. Melnikc;J. Zua
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作者：
R. Dhotea;H. Gomezb;R. Melnikc;J. Zua
本文报道了一种基于分布式计算的形状记忆合金相场模型的变分公式和数值实现。数值实现基于等几何分析框架，构成丰富的NURBS基函数。采用基于应变的阶参量和金兹堡-朗道理论建立了相场模型。在分布式计算环境下，采用等几何有限元方法求解了四阶全耦合的二维和三维热-机械模型。二维模型的弱尺度性能研究表明了当前的挑战，并为未来的改进开辟了一条道路。
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, constituting 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 isogeometric 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.