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A composite material as a work piece is taken into account to investigate the elastic characteristics displaying during the cutting process. The magnitude of the elastic behaviors such as displacements and stresses reacts sensitively to the cutting angle and the vertical force increase, and the magnitude increases along the increments of the cutting angle and the vertical force increase. The buffering mechanism at the bond coat is described well by the fluctuation phenomenon for the horizontal displacement distribution profiles at the substrate. The variation of cutting angle under high vertical force yields profound influence on the behaviors of the longitudinal stress and the shear stress.

Analysis of the contact-zone behavior between the cutting tool and the work piece is a crucial task to inspect and idealize a metal machining. The surface intensity of the machined work-piece is wrapped up in the chip formation zone, and the contact condition between the cutting tool rake face and the chip bestows profound influences on tool wear [

The geometry of the cutting edge is an important factor to determine elastic characteristics such as stresses, strain, and displacements. The elastic characteristics on the machining forces, material flow, and temperature distribution in the cutting zone were investigated by Denkena et al. [

The micro structural characterizations of work piece play an important role to determine the thermal and mechanical properties, which influence the elastic behavior such as displacements, strain, and stresses. Wallbank [

Two-dimensional cutting models are taken into account to investigate the cutting-zone behavior. The work piece is a composite material composed of the top coat, the bond coat, and the substrate, and subjecting to a vertical loading due to the cutting tool (see

Under the assumption of the vertical loading, the equilibrium equation for the plane elasticity problems can be expressed as

The

nents in terms of deformation components are

where

The combination of Equations (1)-(3) leads to the following governing equations

where

tively.

Since the governing equations too complex to obtain the analytic solution, a finite volume method is applied for the numerical sketches. The elastic characteristics are displayed based on the following boundary conditions:

1)

2)

3)

The

Due to complexity of the governing equation a finite volume method is applied for the approximation. The domain is divided up into control volume and integrates the field equations over each control volume. The discretizations for the governing equations are developed based on the following relations at the adjacent locations:

The finite surface mesh is denoted by

with the following coefficients:

The work piece is a composite material and the mechanical and thermal properties for each layer are shown in

The work piece is a composite material and the mechanical and thermal properties for each layer are shown in

Material/Property | Elastic module | Poisson’s ratio |
---|---|---|

Top coat (8 wt% Y_{2}O_{3} doped ZrO_{2}) | 94 | 0.1 |

Bond coating (AMDRY 995C) | 200 | 0.3 |

Substrate (NIMONIC 263) | 221 | 0.3 |

dinal displacement distribution profiles. The longitudinal displacement occurs at the boundary only, and the magnitude of the longitudinal displacement is getting larger as the cutting angle and the vertical force increase.

The horizontal stress distribution profiles are displayed in

As shown

shear stress is so sensitive to the change of cutting angle under high vertical force.

The elastic characteristics of a composite material as a work piece appearing during the cutting process are investigated. In the domain the magnitude of the elastic behaviors is getting larger as the cutting angle and the vertical force increase, which demonstrates the validity of mathematical modeling. The fluctuation of the hori-

zontal displacement at the substrate explains well the buffering mechanism of the bond coat. For the longitudinal stress and the shear stress distribution profiles, the variation of cutting angle under high vertical force displays profound influence on the movement implying that the controlling the factors: cutting angle and vertical force are important process.

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2013R1A1A2059235). This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (2011-0030058).