A Modified Model of the Primary Shear Zone for Orthogonal Machining

Zhou, Fang; Wang, Xue Lin; Duan, Ke

doi:10.4028/www.scientific.net/amm.229-231.503

Cited by 1 publication

(3 citation statements)

References 4 publications

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“…In the process of transforming the parallel plane shear zone to the non-parallel plane shear zone, in order to realize the calculation of the shear strain rate at each point in the shear zone, the value of |J| needs to be calculated. In the derivation process, Zhou [14] took the value of |J| at the center of gravity of the quadrilateral CDFE as the value of |J| at any point in the entire shear region:…”

Section: Proof That |J| Is Not a Constantmentioning

confidence: 99%

“…`By analyzing the metallography from orthogonal cutting on carbon steel and aluminum alloy workpiece and the relationship between shear strain and shear angle, Jesper [13] found that the two boundaries of shear zone (the initial shear plane and ultimate shear plane) are not parallel, and the initial shear plane and the ultimate shear plane have an inclination of about 0° to 9° relative to the main shear plane. On the basis of this, Zhou [14] applied the coordinate transformation method to the unequal division shear zone model, which is based on parallel shear planes, and cleverly obtained the formula of non-parallel shear zone model from a calculation formula of the unequal division shear zone model by using a set of transformation matrices. Then, the solution of the cutting force and cutting thrust of the non-parallel shear zone model is obtained.…”

Section: Introductionmentioning

confidence: 99%

“…[25]. The results show that the prediction error of the corrected model is smaller than that of Zhou [14]. Figure.1 is a schematic diagram of non-parallel shear zone model.…”

Section: Introductionmentioning

confidence: 99%

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Correction and accuracy improvement of non-parallel shear zone model

et al. 2018

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When applying the non-parallel shear zone model to predict the cutting process parameters of carbon steel workpiece, it is found that there is a big error between the prediction results and the experimental values. And also, the former approach to obtain the relevant cutting parameters of the non-parallel shear zone model by applying coordinate transformation to the parallel shear zone model has a theoretical error – it erroneously regards the determinant (|J|) of the Jacobian matrix (J) in the coordinate transformation as a constant. The shape of the shear zone obtained when |J| is not constant is drew and it is found that the two boundaries of the shear zone are two slightly curved surfaces rather than two inclined planes. Also, the error between predicted values and experimental values of cutting force and cutting thrust is slightly smaller than that of constant |J|. A corrected model where |J| is a variable is proposed. Since the specific values of inclination of the shear zone (α, β), the thickness coefficient of the shear zone (as) and the constants related to the material (f0, p) are not given in the former work, a method to obtain the above-mentioned five constants by solving multivariable constrained optimization problem based on experimental data was also proposed; based on the obtained experimental data of AISI 1045 steel workpiece cutting force, cutting thrust, chip thickness, the results of five above-mentioned model constants are obtained. It is found that, compared with prediction from uncorrected model, the cutting force and cutting thrust of AISI 1045 steel predicted by the corrected model with the obtained constants has a better agreement with the experimental values obtained by Ivester.

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Section: Proof That |J| Is Not a Constantmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%