We present a new meshless animation framework for elastic and plastic materials that fracture. Central to our method is a highly dynamic surface and volume sampling method that supports arbitrary crack initiation, propagation, and termination, while avoiding many of the stability problems of traditional mesh-based techniques. We explicitly model advancing crack fronts and associated fracture surfaces embedded in the simulation volume. When cutting through the material, crack fronts directly affect the coupling between simulation nodes, requiring a dynamic adaptation of the nodal shape functions. We show how local visibility tests and dynamic caching lead to an efficient implementation of these effects based on point collocation. Complex fracture patterns of interacting and branching cracks are handled using a small set of topological operations for splitting, merging, and terminating crack fronts. This allows continuous propagation of cracks with highly detailed fracture surfaces, independent of the spatial resolution of the simulation nodes, and provides effective mechanisms for controlling fracture paths. We demonstrate our method for a wide range of materials, from stiff elastic to highly plastic objects that exhibit brittle and/or ductile fracture.

中文翻译：

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压裂固体的无网格动画。

我们为断裂的弹性和塑性材料提供了一种新的无网格动画框架。我们方法的核心是一种高度动态的表面和体积采样方法，它支持任意裂纹的萌生、传播和终止，同时避免了传统基于网格的技术的许多稳定性问题。我们明确地模拟了嵌入在模拟体积中的推进裂纹前沿和相关的断裂面。在切割材料时，裂纹前沿直接影响模拟节点之间的耦合，需要对节点形状函数进行动态调整。我们展示了本地可见性测试和动态缓存如何基于点搭配有效实现这些效果。使用一小组用于分裂、合并和终止裂纹前沿的拓扑操作来处理相互作用和分支裂纹的复杂断裂模式。这允许具有高度详细断裂表面的裂纹连续传播，独立于模拟节点的空间分辨率，并提供控制断裂路径的有效机制。我们展示了适用于各种材料的方法，从刚性弹性物体到表现出脆性和/或韧性断裂的高塑性物体。