A hybrid model for force prediction in orthogonal cutting with chamfered tools considering size and edge effect
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ORIGINAL ARTICLE
A hybrid model for force prediction in orthogonal cutting with chamfered tools considering size and edge effect Jian Weng 1,2 & Kejia Zhuang 1 & Jinming Zhou 2 & Han Ding 1,3 Received: 13 January 2020 / Accepted: 8 June 2020 # Springer-Verlag London Ltd., part of Springer Nature 2020
Abstract Researches on the modeling of machining difficult-to-cut metals are important for optimization of the processing parameters, in which the force modeling is essential due to its significant influence on the performance of tools and the quality of parts. A semianalytical method for force prediction in orthogonal cutting with chamfered tools considering both edge and size effect is proposed in this paper. The plastic deformation in the shear band was investigated using a parallel shear zone model and unequal division shear zone model. The influence of size effect on cutting force was discussed and a simplified expression of improvement factor is introduced to describe the sharp increase of shear stress under the condition of low feed rate. Simulations of orthogonal cutting with different chamfer lengths are conducted to analyze the variation of cutting force with respect to chamfer length, which reveals that the influence of chamfer length on cutting force is determined by the ratio of chamfer length to uncut chip thickness. A modified function considering the trend of material flow condition is proposed, which treats the total cutting force as a combination of cutting forces caused by chamfered edge and rake face. The calibration of constants in the proposed method is achieved using particle swarm optimization (PSO), a meta-heuristic algorithm for complicated non-linear models. The experiments show that the method works well on both fitting and predicting modules in orthogonal cutting of AISI 304 using cemented carbide tools with 15° chamfer angle or 25° chamfer angle. Keywords Force modeling . Orthogonal cutting . Size effect . PSO
Nomenclature α, β, ϕ Rake angle, friction angle, shear angle f Feed rate w Depth of cut f0, p Constants in empirical friction model V, Vc, Vs Cutting velocity, chip flow velocity, shear velocity ˙ γ˙ γ, γ, Shear strain, shear strain rate and the reference 0 strain rate
* Kejia Zhuang [email protected] 1
Hubei Digital Manufacturing Key Laboratory, School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China
2
Division of Production and Materials Engineering, Lund University, 22100 Lund, Sweden
3
State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China
A, B, C, n,Parameters in Johnson-Cook’s equation m T, Tr, Tm The temperature in the shear band, room temperature, melting temperature η The portion of the deformation energy as the generation of heat in the shear band ΔT The temperature rise due to plastic deformation in the parallel shear zone model mchip The mass of chip formation per second ψ The percentage of the heat in shear zone transferred into wo
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