We present a complete microstructure tiling paradigm for V-rep models, or volumetric models consisting of trimmed trivariates. Existing methods (Massarwi et al., 2018) are employed to tile individual primitive tensor product trivariates in a conformal way, only to handle the intersection of the microstructure tiles with the trimming surfaces of the trivariates. One-to-one and two-to-one bridging tiles are then constructed along the trimmed zones, while tile-clipping is completely avoided. The Boolean operation cases of subtraction, intersection and union are considered. The result is a set of, regular in the interior, possibly heterogeneous, trivariates, that defines the whole microstructure arrangement. This result is fully compatible with iso-geometric analysis as well as heterogeneous additive manufacturing. Examples are presented, including of 3D printed heterogeneous microstructures.

我们为 V-rep 模型或由修剪的三变量组成的体积模型提供了完整的微观结构平铺范例。现有方法 (Massarwi et al., 2018) 被用来以共形方式平铺单个原始张量乘积三变量，仅用于处理微结构平铺与三变量修剪表面的交集。然后沿着修剪区域构建一对一和二对一的桥接瓷砖，同时完全避免瓷砖剪裁。考虑减法、交集和并集的布尔运算情况。结果是一组内部规则的，可能是异质的，三变量，它定义了整个微观结构排列。该结果与等几何分析以及异质增材制造完全兼容。举例说明，