A fictitious domain method for the simulation of thermoelastic deformations in NC‐milling processes
A fictitious domain method for the simulation of thermoelastic deformations in NC‐milling processes
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DOI：
10.1002/nme.5609
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发表时间：
2018-01
影响因子：
2.9
通讯作者：
A. Byfut;A. Schröder
中科院分区：
文献类型：
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作者：
A. Byfut;A. Schröder
本文提出了一种(高阶)有限元方法来模拟数控铣削过程中的热扩散和热弹性变形。通过对覆盖在给定工件上的近轴六面体基本网格的连续去除细化，考虑了模拟过程中固有的连续材料去除。这些细化依赖于这些六面体的各向同性平分以及后者细分为四面体和棱锥体，对应于应用行进立方体算法获得的铣削表面三角剖分。所得到的网格被用于该近轴六面体基本网格内的依赖于铣削的工件的逐单元定义的特征函数。利用该特征函数，使用(高阶)虚拟区域方法计算热扩散和热弹性变形，并定义了相应的ansatz空间，以进行基于六面体的基本网格加密。数值实验与实际物理实验的对比表明，所提出的方法可用于预测加工过程中热弹性变形引起的被加工零件形状偏离设计形状的情况。
This paper presents a (higher‐order) finite element approach for the simulation of heat diffusion and thermoelastic deformations in NC‐milling processes. The inherent continuous material removal in the process of the simulation is taken into account via continuous removal‐dependent refinements of a paraxial hexahedron base‐mesh covering a given workpiece. These refinements rely on isotropic bisections of these hexahedrons along with subdivisions of the latter into tetrahedrons and pyramids in correspondence to a milling surface triangulation obtained from the application of the marching cubes algorithm. The resulting mesh is used for an element‐wise defined characteristic function for the milling‐dependent workpiece within that paraxial hexahedron base‐mesh. Using this characteristic function, a (higher‐order) fictitious domain method is used to compute the heat diffusion and thermoelastic deformations, where the corresponding ansatz spaces are defined for some hexahedron‐based refinement of the base‐mesh. Numerical experiments compared to real physical experiments exhibit the applicability of the proposed approach to predict deviations of the milled workpiece from its designed shape because of thermoelastic deformations in the process.