Variational prediction of the mechanical behavior of shape memory alloys based on thermal experiments
Variational prediction of the mechanical behavior of shape memory alloys based on thermal experiments
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DOI：
10.1016/j.jmps.2015.04.015
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发表时间：
2015-07
影响因子：
5.3
通讯作者：
P. Junker;S. Jaeger;O. Kastner;G. Eggeler;K. Hackl
中科院分区：
文献类型：
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作者：
P. Junker;S. Jaeger;O. Kastner;G. Eggeler;K. Hackl
在这项工作中，我们提供了形状记忆合金的模拟，作为第一个例子，展示了基于能量的材料模型的预测特性。我们从推导亥姆霍兹自由能的热量部分的理论方法开始。然后，给出了差示扫描量热法的实验结果。然后，我们回顾了一个基于耗散势最小原理的多晶形状记忆合金的细观力学模型。之前确定的亥姆霍兹自由能的热能部分与模型参数集接近，而不需要参数拟合。所有的量都是直接从实验中得出的。最后，我们将拉伸试验的有限元结果与实验数据进行了比较，结果表明，通过热测量确定的模型可以预测机械诱导相变，从而在没有任何进一步假设的情况下使整体材料行为合理化。
In this work, we present simulations of shape memory alloys which serve as first examples demonstrating the predicting character of energy-based material models. We begin with a theoretical approach for the derivation of the caloric parts of the Helmholtz free energy. Afterwards, experimental results for DSC measurements are presented. Then, we recall a micromechanical model based on the principle of the minimum of the dissipation potential for the simulation of polycrystalline shape memory alloys. The previously determined caloric parts of the Helmholtz free energy close the set of model parameters without the need of parameter fitting. All quantities are derived directly from experiments. Finally, we compare finite element results for tension tests to experimental data and show that the model identified by thermal measurements can predict mechanically induced phase transformations and thus rationalize global material behavior without any further assumptions.