Finite – element model for simulations of fully coupled thermomechanical processes in shape memory alloys
Finite – element model for simulations of fully coupled thermomechanical processes in shape memory alloys
复制标题
用于模拟形状记忆合金全耦合热机械过程的有限元模型
DOI：
--
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
G. Eggeler
中科院分区：
文献类型：
--
作者：
F. Richter;O. Kastner;G. Eggeler
KH�0AOOHU -Achenbach-Seelecke 形状记忆合金模型能够解决机械场和热场的完整热机械耦合问题。该模型源于对热力学原理的严格解释，并将行为解释为奥氏体与两种通用马氏体孪晶变体相互作用所产生的结果。其本构行为涵盖假塑性、假弹性和温度变化时的特征形状记忆效应。因此，该模型在物理合理的基础上反映了 SMA 的复杂、非线性迟滞和热机械耦合材料行为。在这篇文章中，我们研究了 MAS 模型在典型工程环境中的功能，即。将 SMA 衬套热装到线弹性轴上。在这种情况下，热装是由温度从低水平变化到高水平时套管的马氏体-奥氏体相变引起的（形状记忆效应）。为了解决所有几何含义，我们采用有限 HOHPHQWLPSOHPHQWDWLRQRIWKH�0$6�PRGHOLQWR�$%$486�a��7KH� 通过与线弹性和理想弹塑性情况的经典解决方案进行比较，证明了 FEM 模型的可靠性。 MAS 模型使用 UMAT 接口实现到 ABAQUS 中。使用该模型得出的结果针对经典解决方案进行了验证，并显示了完整热机耦合的重要性，这在这种情况下变得尤为明显。
KH�0AOOHU -Achenbach-Seelecke model for shape memory alloys is able to address full thermomechanical coupling of mechanical and thermal fields. The model roots in a stringent interpretation of thermodynamical principles and interprets the behavior as resulting from an interplay of austenite with two generic martensite twin variants. Its constitutive behavior covers both pseudoplasticity, pseudoelasticity and the characteristic shape memory effect upon temperature changes. Thus, the model reflects the complex, nonlinear hysteretic and thermomechanically coupled material behavior of SMAs on a physically sound basis. In this contribution we investigate the capability of the MAS model in a typical engineering setting, viz. the shrink fitting of a SMA bushing onto a linear-elastic shaft. In this case, the shrink fitting is caused by a martensite-austenite phase transition of the bushing upon temperature change from low to high level (shape memory effect). To address all geometrical implications we employ a finite-HOHPHQWLPSOHPHQWDWLRQRIWKH�0$6�PRGHOLQWR�$%$486�a��7KH� reliability of the FEM model is proven by comparison to the classical solutions for the linear-elastic and the ideally elastic-plastic case. The MAS model is implemented into ABAQUS using the UMAT interface. The results arrived at with this model are validated against the classical solutions and show the significance for the full thermomechanical coupling which becomes particularly evident in this setting.