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Anisotropic Kernels for Meshless Elastic Solids

We propose a mesh less method to simulate elastic solids. Explicit integration methods are widely used in fluid/solid simulators for their efficiency, but these methods are not unconditionally stable: without sufficient small time steps, simulated particles may move beyond range of each other, resulting in simulation breakdown or other unexpected errors. This problem which usually appears under large deformations is called numerical fracture. We use anisotropic kernels to reduce numerical fracture without resampling procedure. During each time step, we update the anisotropic kernels from the analysis of the strain tensor to capture the directions of the deformation. Results illustrate that our method improves the stability of the simulation with minimum computation cost.