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A friction interface model for multi-material interactions in a Eulerian framework
Journal of Computational Physics ( IF 4.1 ) Pub Date : 2020-12-10 , DOI: 10.1016/j.jcp.2020.110057
Wanli Wang , Cheng Wang , Tonghui Yang , Dongping Chen

A friction model for hyper-elastic solid materials was proposed for the simulation of complex shear impacts in a Eulerian framework. The interfacial status of multi-material interactions was obtained in Harten, Lax, and van Leer discontinuity (HLLD) Riemann solver. The inverse deformation gradient tensor was utilized in governing equations to describe the shape change of hyper-elastic solid materials. The level set method (LSM) was used to identify multiple materials in computational domain and the interface boundary condition was applied using the real ghost fluid method (RGFM). A uniform eigensystem of hyperbolic equations was derived using the fifth-order characteristic-wise weighted essentially non-oscillatory (WENO) scheme. Six numerical tests of one-dimensional problems were used to illustrate the robustness of the 5th order WENO scheme. The proposed friction model was evaluated for impact cases in both one and two dimensions with three-dimensional components. The redistribution of strain and kinetic energy during solid-solid interactions was represented using the proposed friction model, while both ‘slip’ and ‘stick’ interface showed unphysical approximations. We believe that the friction interface model completes the theory of multi-material interaction and provide a more appropriate way to model the complex dynamic behavior in Eulerian framework for solid materials.



中文翻译:

欧拉框架中用于多种材料相互作用的摩擦界面模型

提出了一种超弹性固体材料的摩擦模型,用于模拟欧拉框架中的复杂剪切冲击。在Harten,Lax和van Leer间断(HLLD)黎曼求解器中获得了多种材料相互作用的界面状态。逆变形梯度张量在控制方程中用于描述超弹性固体材料的形状变化。使用水平集方法(LSM)来识别计算域中的多种材料,并使用真实幻影流体方法(RGFM)来应用界面边界条件。使用五阶特征加权基本非振荡(WENO)方案导出了双曲方程的统一特征系统。使用一维问题的六个数值测试来说明五阶WENO方案的鲁棒性。针对具有三维分量的一维和二维碰撞情况,评估了建议的摩擦模型。固-固相互作用中应变和动能的重新分布使用提出的摩擦模型表示,而“滑动”和“粘滞”界面均显示出非物理近似值。我们认为,摩擦界面模型完善了多材料相互作用的理论,并提供了一种更合适的方法来对固体材料的欧拉框架中的复杂动力行为进行建模。而“滑动”和“粘滞”界面均显示出非物理近似。我们认为,摩擦界面模型完善了多材料相互作用的理论,并为在固体材料的欧拉框架中模拟复杂的动力学行为提供了一种更合适的方法。而“滑动”和“粘滞”界面均显示出非物理近似。我们认为,摩擦界面模型完善了多材料相互作用的理论,并提供了一种更合适的方法来对固体材料的欧拉框架中的复杂动力行为进行建模。

更新日期:2021-02-09
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