热力复合材料多尺度分析的FE-DMN方法
An FE-DMN method for the multiscale analysis of thermomechanical composites
摘要：
我们将FE-DMN方法扩展到复合材料的完全耦合热力学双尺度模拟。特别地，宏观有限元模型的每个高斯点配备有深层材料网络（DMN）。这样的DMN作为一个高保真度的代理模型的全场解决方案的微观尺度上的非弹性，非等温成分。基于Chatzigeorgiou等人的均质化框架[Int. J. Plast，第81卷，18- 39，2016]，我们通过结合双向热机械耦合将DMN的框架扩展到热机械复合材料，即，从宏观尺度到微观尺度的耦合，反之亦然，进入框架。我们提供的细节，我们的方法作为一个用户材料子程序（UMAT）的有效实施。我们在微观尺度上验证了我们的方法，并表明DMNs预测的有效应力，有效耗散和宏观绝对温度的变化具有很高的精度。经过验证，我们证明了我们的方法的能力，同时热机械双尺度模拟的宏观组件规模。
英文摘要：
We extend the FE-DMN method to fully coupled thermomechanical two-scale simulations of composite materials. In particular, every Gauss point of the macroscopic finite element model is equipped with a deep material network (DMN). Such a DMN serves as a high-fidelity surrogate model for full-field solutions on the microscopic scale of inelastic, non-isothermal constituents. Building on the homogenization framework of Chatzigeorgiou et al. [Int. J. Plast, vol. 81, pp. 18--39, 2016], we extend the framework of DMNs to thermomechanical composites by incorporating the two-way thermomechanical coupling, i.e., the coupling from the macroscopic onto the microscopic scale and vice versa, into the framework. We provide details on the efficient implementation of our approach as a user-material subroutine (UMAT). We validate our approach on the microscopic scale and show that DMNs predict the effective stress, the effective dissipation and the change of the macroscopic absolute temperature with high accuracy. After validation, we demonstrate the capabilities of our approach on a concurrent thermomechanical two-scale simulation on the macroscopic component scale.
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