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Meshfree formulation for modelling of orthogonal cutting of composites

机译：用于复合材料正交切削建模的无网格配方

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The Element-Free Galerkin method (EFG) is a prominent member of the meshfree methods family. In this work, EFG is utilised to simulate the orthogonal cutting process of unidirectional composites. The mathematical model is derived from the weak form of the momentum conservation equation with frictional contact constraints based on penalty method. Spatial discretisation using moving least squares shape functions are used. The onset and progression of damage are predicted by two stress-based failure criteria. Full Newton Raphson solver is, used to solve the non-linear system equations iteratively. Numerical experiments investigating the effect of rake angle and fibre orientation are conducted. Cutting forces are compared against experiments and finite element simulations available in literature. Simulations show that the meshfree model is capable of predicting cutting forces as a function of the fibre orientation. Sensitivity analysis is conducted to investigate the effect of important meshfree parameters such as the domain of influence and weight function on forces. One of the strongest advantages of the proposed model is the simple and automatic set up process, as meshing for domain discretisation is not required. (C) 2017 Elsevier Ltd. All rights reserved.
机译：无网格Galerkin方法（EFG）是无网格方法家族的重要成员。在这项工作中，EFG用于模拟单向复合材料的正交切割过程。该数学模型是基于惩罚法从具有摩擦接触约束的动量守恒方程的弱形式导出的。使用使用移动最小二乘法形状函数的空间离散化。损害的发生和发展是通过两个基于压力的失效标准来预测的。 Full Newton Raphson求解器用于迭代求解非线性系统方程。进行了数值实验，研究了前角和纤维取向的影响。将切削力与文献中提供的实验和有限元模拟进行比较。仿真表明，无网格模型能够根据纤维方向预测切削力。进行敏感性分析以研究重要的无网格参数的影响，例如影响范围和权重函数对力的影响。提出的模型的最大优势之一是简单且自动的设置过程，因为不需要网格进行域离散化。 （C）2017 Elsevier Ltd.保留所有权利。

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