Metal lattice structures filled with a damping material such as polymer can exhibit high stiffness and good damping properties. Mechanical simulations of parts made from these composites can however require a large modeling and computational effort because relevant features such as complex geometries need to be represented on multiple scales. The finite cell method (FCM) and numerical homogenization are potential remedies for this problem. Moreover, if the microstructures are placed in between the components of assemblies for vibration reduction, a modified mortar technique can further increase the efficiency of the complete simulation process. With this method, it is possible to discretize the components separately and to integrate the viscoelastic behavior of the composite damping layer into their weak coupling. This paper provides a multiscale computational material design framework for such layers, based on FCM and the modified mortar technique. Its efficiency even in the case of complex microstructures is demonstrated in numerical studies. Therein, computational homogenization is first performed on various microstructures before the resulting effective material parameters are used in larger-scale simulation models to investigate their effect and to verify the employed methods.

中文翻译：

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使用有限元和砂浆法对高阻尼复合材料进行多尺度分析

填充有阻尼材料（例如聚合物）的金属晶格结构可以表现出高刚度和良好的阻尼特性。然而，由这些复合材料制成的零件的机械模拟可能需要大量的建模和计算工作，因为复杂的几何形状等相关特征需要在多个尺度上表示。有限单元法 (FCM) 和数值均匀化是解决这个问题的潜在方法。此外，如果将微结构放置在组件的组件之间以减少振动，则改进的砂浆技术可以进一步提高整个模拟过程的效率。使用这种方法，可以分别离散化组件并将复合阻尼层的粘弹性行为集成到它们的弱耦合中。本文基于 FCM 和改进的砂浆技术为此类层提供了多尺度计算材料设计框架。即使在复杂微观结构的情况下，它的效率也在数值研究中得到证明。其中，首先对各种微结构进行计算均质化，然后将所得有效材料参数用于更大规模的模拟模型以研究其效果并验证所采用的方法。