Meshless Methods for the Simulation of Machining and Micro-machining: A Review

Markopoulos, Angelos P.; Karkalos, Nikolaos E.; Papazoglou, Emmanouil L.

doi:10.1007/s11831-019-09333-z

Cited by 31 publications

(8 citation statements)

References 123 publications

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“…The latter includes the generalized finite difference method (GFDM) [26,27], the element-free Galerkin method (EFGM) [28,29], the radial basis function collocation method (RBFCM) [30] and so on. For details on advance and application of meshless method, the readers can refer to [31][32][33] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material

null¹,

Wang²

2023

AAMM

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This paper documents the first attempt to apply a localized method of fundamental solutions (LMFS) to the acoustic analysis of car cavity containing soundabsorbing materials. The LMFS is a recently developed meshless approach with the merits of being mathematically simple, numerically accurate, and requiring less computer time and storage. Compared with the traditional method of fundamental solutions (MFS) with a full interpolation matrix, the LMFS can obtain a sparse banded linear algebraic system, and can circumvent the perplexing issue of fictitious boundary encountered in the MFS for complex solution domains. In the LMFS, only circular or spherical fictitious boundary is involved. Based on these advantages, the method can be regarded as a competitive alternative to the standard method, especially for high-dimensional and large-scale problems. Three benchmark numerical examples are provided to verify the effectiveness and performance of the present method for the solution of car cavity acoustic problems with impedance conditions.

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Section: Introductionmentioning

confidence: 99%

Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material

null¹,

Wang²

2023

AAMM

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“…Especially the introduction of new work piece materials involves cost-intensive trials and slows down development. Progress in high-performance computing has made it possible to simulate the processes that occur during cutting and grinding, such as material removal, chip formation, microstructural evolution, and surface topography development (Eder et al, 2017b;Markopoulos et al, 2020). In this context, particularly molecular dynamics (MD) simulations are a powerful tool to monitor the microstructure of the ground material, which might be subjected to considerable changes close to the grinding interface during sliding, e.g., grain size changes and specific grain orientations (Grützmacher et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Towards a multi-abrasive grinding model for the material point method

Leroch

Grützmacher²,

Heckes

et al. 2023

Front. Manuf. Technol.

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An efficient optimization of surface finishing processes can save high amounts of energy and resources. Because of the large occurring deformations, grinding processes are notoriously difficult to model using standard (mesh-based) micro-scale modeling techniques. In this work, we use the meshless material point method to study the influence of abrasive shape, orientation, rake angle, and infeed depth on the grinding result. We discuss the chip morphology, the surface topography, cutting versus plowing mode, the material removal rate, and the chip temperature. A generalization of our model from a straightforward single-abrasive approach to a multiple-abrasive simulation with pseudo-periodical boundary conditions greatly increases the degree of realism and lays the foundation for comparison with real finishing processes. We finally compare our results for multiple abrasives to those obtained for a scaled-down molecular dynamics system and discuss similarities and differences.

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“…Simulations have evolved far enough to aid the achievement of the topographic and near-surface microstructural qualities required by industry [26,27], and now constitute a powerful means of optimizing processes while maintaining the mandated tolerances [3] for properties such as roughness or hardness. Progress in high performance computing has made molecular dynamics (MD) simulations and other meshless simulation methods a viable tool for studying the processes occurring during scratching [28], cutting [29], milling [30], or grinding [31]. Notable previous efforts of simulating scratching, cutting, or polishing atomistically have been dedicated to understanding exit-burr formation [32], the removal of a single nanoscale chip from a monocrystalline or amorphous flat surface [33] or from an isolated roughness feature [34,35], and to studying some of the occurring crystallographic processes.…”

Section: Introductionmentioning

confidence: 99%

Experimentally validated atomistic simulation of the effect of relevant grinding parameters on work piece topography, internal stresses, and microstructure

et al. 2021

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In this work, we present a fully atomistic approach to modeling a finishing process with the goal to shed light on aspects of work piece development on the microscopic scale, which are difficult or even impossible to observe in experiments, but highly relevant for the resulting material behavior. In a large-scale simulative parametric study, we varied four of the most relevant grinding parameters: The work piece material, the abrasive shape, the temperature, and the infeed depth. In order to validate our model, we compared the normalized surface roughness, the power spectral densities, the steady-state contact stresses, and the microstructure with proportionally scaled macroscopic experimental results. Although the grain sizes vary by a factor of more than 1,000 between experiment and simulation, the characteristic process parameters were reasonably reproduced, to some extent even allowing predictions of surface quality degradation due to tool wear. Using the experimentally validated model, we studied time-resolved stress profiles within the ferrite/steel work piece as well as maps of the microstructural changes occurring in the near-surface regions. We found that blunt abrasives combined with elevated temperatures have the greatest and most complex impact on near-surface microstructure and stresses, as multiple processes are in mutual competition here.

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Meshless Methods for the Simulation of Machining and Micro-machining: A Review

Cited by 31 publications

References 123 publications

Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material

Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material

Towards a multi-abrasive grinding model for the material point method

Experimentally validated atomistic simulation of the effect of relevant grinding parameters on work piece topography, internal stresses, and microstructure

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