In this paper, we present a simple artificial damping method to enhance the robustness of total Lagrangian smoothed particle hydrodynamics (TL-SPH). Specifically, an artificial damping stress based on the Kelvin-Voigt type damper with a scaling factor imitating a von Neumann-Richtmyer type artificial viscosity is introduced in the constitutive equation to alleviate the spurious oscillation in the vicinity of the sharp spatial gradients. After validating the robustness and accuracy of the present method with a set of benchmark tests with very challenging cases, we demonstrate its potentials in the field of bio-mechanics by simulating the deformation of complex stent structures.

中文翻译：

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拉格朗日总平滑粒子流体动力学的简单人工阻尼方法

在本文中，我们提出了一种简单的人工阻尼方法，以增强总拉格朗日平滑粒子流体动力学（TL-SPH）的鲁棒性。具体地说，在本构方程中引入了基于比例因子模仿冯·诺伊曼-里希特米尔型人工粘度的基于开尔文-沃格型阻尼器的人工阻尼应力，以减轻急剧的空间梯度附近的杂散振荡。在通过具有挑战性案例的一组基准测试验证了本方法的鲁棒性和准确性之后，我们通过模拟复杂的支架结构的变形来证明其在生物力学领域的潜力。