The benefit of adaptive meshing strategies for a recently introduced thermodynamic topology optimization is presented. Employing an elementwise gradient penalization, stability is obtained and checkerboarding prevented while very fine structures can be resolved sharply using adaptive meshing at material-void interfaces. The usage of coarse elements and thereby smaller design space does not restrict the obtainable structures if a proper adaptive remeshing is considered during the optimization. Qualitatively equal structures and quantitatively the same stiffness as for uniform meshing are obtained with less degrees of freedom, memory requirement and overall optimization runtime. In addition, the adaptivity can be used to zoom into coarse global structures to better resolve details of interesting spots such as truss nodes.

提出了自适应网格划分策略对最近引入的热力学拓扑优化的好处。采用逐元素梯度罚分法，可以获得稳定性，并防止了棋盘格现象，同时可以在材质-空隙界面处使用自适应网格化方法来非常精细地解决非常精细的结构。如果在优化过程中考虑了适当的自适应重新网格化，则使用粗糙的元素并因此减小设计空间不会限制可获得的结构。与均匀网格划分相比，定性相等的结构和数量上相同的刚度将获得较少的自由度，更少的内存需求和总体优化运行时间。此外，适应性可用于放大粗略的整体结构，以更好地解析诸如桁架节点之类的有趣点的细节。