Re-evaluation of the basic mechanics of orthogonal metal cutting: velocity diagram, virtual work equation and upper-bound theorem

Astakhov, Viktor P.; Osman, M. O. M.; Hayajneh, Mohammed T.

doi:10.1016/s0890-6955(00)00084-5

Cited by 45 publications

(34 citation statements)

References 13 publications

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“…. Taking into account of the unequal regions portion (Astakhov,et al,2001,Tounsi,et al2002Li,et al,2011), the strain rate, strain and shear velocity distribution of the material flow through the primary shear zone can be given as:…”

Section: Thermal Effects In Chip Formationmentioning

confidence: 99%

“…where is time, the velocity component perpendicular to the primary shear zone, the maximum shear strain rate, the parameter characterizing the non uniform distribution of the tangential velocity in the shear zone in (Astakhov et al, 2001), for ductile material at low cutting speeds and at high cutting speed . By introducing the inactive layer (Palmai and Csernak, 2009) to the shear deformation and the thickness of the inactive layer is equal to , the conservation of energy equation for the three layers assume the following forms:…”

Section: Thermal Effects In Chip Formationmentioning

confidence: 99%

See 1 more Smart Citation

Predicting periodic evolution of BUE formation mechanisms during machining ductile material using damage mechanics

Song

Ihara

2016

Mechanical Engineering Journal

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Section: Thermal Effects In Chip Formationmentioning

confidence: 99%

Section: Thermal Effects In Chip Formationmentioning

confidence: 99%

Predicting periodic evolution of BUE formation mechanisms during machining ductile material using damage mechanics

Song

Ihara

2016

Mechanical Engineering Journal

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“…This model based on parallelsided shear zone model [22]. Astakhov [23] and Leopold [24] have, respectively, proved by experiments that the shear zone is composed of narrow and wide area. Then, Tounsi [25] and Li [26] developed the model to predict the orthogonal cutting force.…”

Section: Non-equidistant Shear Zone Modelmentioning

confidence: 99%

Analysis and modeling of force in orthogonal elliptical vibration cutting

Bai

Sun

Gao

et al. 2015

Int J Adv Manuf Technol

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This paper aims to reveal the material removal mechanisms of the elliptical vibration cutting (EVC) and present the predicted model of orthogonal cutting force. Further study of mechanism will be helpful to explain the phenomena that EVC can reduce the cutting force, lower cutting temperature, and improve the surface integrity. In each overlapping EVC cycle, almost all the parameters are time-varying, of which two important factors are focused: (i) transient thickness of cut and (ii) transient shear angle. The analysis model simplified the complex process of the EVC as conventional cutting (CC) which considering two transient variables. This paper presents a non-equidistant shear zone model to predict the shear angle, tool-chip friction angle, and shear stress in CC under the same conditions of the EVC. Then, the transient thickness of cut and transient shear angle are investigated. Thus, an analytical model of the force in EVC is proposed. The model is available to predict the cutting force of the EVC accurately without any experimental parameters in CC. In addition, experimental results available in the literature are conducted for comparison, which are in well agreement with the analysis model

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“…However, the strain rate distribution was not formulated and instead, the shear strain rate at AB was given by Eq. (2) U cos a -a) (2) Based on the engineering plasticity, several researchers reevaluated the orthogonal metal cutting mechanics in the primary shear zone [6,10,11]. In their studies, the coordinate system is 041003-2 / Vol.…”

Section: Primary Shear Zone Analysismentioning

confidence: 99%

“…For the given cutting speed U, the entry and exit boundary conditions for the velocity field can be obtained (6) = Usm(¡> The velocity discontinuity V* is defined as the difference between Va&nàV.x [11] …”

Section: =mentioning

confidence: 99%

Modified Primary Shear Zone Analysis for Identification of Material Mechanical Behavior During Machining Process Using Genetic Algorithm

Pang¹,

Kishawy

2012

Journal of Manufacturing Science and Engineering

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Jn the cun-ent work, an inverse analysis on the primary shear zone was introduced to determine the five constants in Johnson-Cook's material constitutive equation under the conditions of metal cutting. Based on the detailed analysis on the boundary conditions of the velocity and shear strain rate fields, Oxley's "equidistant parallel-sided" shear zone model was revisited. A more realistic nonlinear shear str'ain rate distribution has been proposed under the frame of nonequidistant primary shear zone configwation, so that all the boundary conditions can be satisfied. Based on the presented analysis, the shear strain, shear strain rate and temperature at the main shear plane were calculated. In conjugation with the measured cutting forces and chip thickness, a genetic algorithm (GA) based optimization program has been developed for the system identification. In order to verify the effectiveness of the developed algorithm, the obtained material constants were used in a forward analytical simulation. The acceptable agr-eement with experimental data validates the pr-oposed method.

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Re-evaluation of the basic mechanics of orthogonal metal cutting: velocity diagram, virtual work equation and upper-bound theorem

Cited by 45 publications

References 13 publications

Predicting periodic evolution of BUE formation mechanisms during machining ductile material using damage mechanics

Predicting periodic evolution of BUE formation mechanisms during machining ductile material using damage mechanics

Analysis and modeling of force in orthogonal elliptical vibration cutting

Modified Primary Shear Zone Analysis for Identification of Material Mechanical Behavior During Machining Process Using Genetic Algorithm

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