• 대한기계학회:학술대회논문집
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• 대한기계학회 2007년도 춘계학술대회A
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• pp.1481-1486
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• 2007

Frictional laws are criticized with emphasis on their application to bulk metal forming simulation in this paper. Coulomb frictional law and constant shear frictional law are investigated in detail in terms of their effect on metal forming process. A friction sensitive bulk metal forming process, a long-pipe simultaneously shrinking and expanding process, is introduced and the problems of the constant shear frictional law are revealed comparing the predictions obtained by the Coulomb frictional law and the constant shear frictional law with the experiments. It is shown that the constant shear frictional law is improper in the case that the normal stress varies very much from position to position and that the normal stress is low compared with flow stress of the adjacent material. It is also shown that the Coulomb frictional constant is more or less affected by the normal stress.

• 한국소성가공학회:학술대회논문집
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• 한국소성가공학회 2008년도 춘계학술대회 논문집
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• pp.252-255
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• 2008

We conduct finite element simulation of a cross-wedge rolling process using AFDEX 3D. The die is realistically modeled with emphasis on the hatched plicate over the slope or forming region. Coulomb frictional law is used to prevent slip between material and die. Constant shear frictional law is also investigated and it is esmphasized that the constant shear frictional law is improper for cross-wedge rolling simulation.

• 한국정밀공학회지
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• 제13권2호
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• pp.102-109
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• 1996

Effects of frictional laws on finite element solutions in metal forming were investigated in this paper. A rigid-viscoplastic finite element formulation was given with emphasis on the frictional laws. The Coulomb friction and the constant shear friction laws were compared through finite element analyses of compression of rings and cylinders with different aspect ratios, ring-gear forging, multi-stage cold extrusion and hot strip rolling under the isothermal condition. It has been shown that two laws may yield quite different results when the aspect ratio of a process and the fractional contact region are large.

• 대한기계학회논문집
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• 제18권4호
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• pp.866-875
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• 1994

The problem of a rigid rod sliding on a rough horizontal surface in the plane is analyzed, which is commonly cited as an example of the inconsistency of rigid body frictional mechanics. The inconsistency is demonstrated by analyzing the normal reaction force at the contact point with the surface, and the concept of tangential collision is derived to resolve the inconsistency. Using the Poisson's hypothesis for the coefficient of restitution and Coulomb's law for the friction, the general methodology for solving the tangential collision is presented. The problem of the inconsistency generated in the sliding rod is completely resolved, building the concept of the tangential collision and adopting the theory of frictional impact. The result presented in this paper will obviate a generic obstacle to the development of simulation packages for planar rigid body mechanical systems with temporary contacts, and planning efficient motion strategies for robot manipulators.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집A
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• pp.889-894
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• 2001

A three dimensional transient thermo-elastic frictional contact analysis of airplane brakes is performed. The velocity history of the airplane during braking is calculated from energy conservation law. ABAQUS code is used in the analysis, and user subroutines supported in the ABAQUS are coded to calculate the frictional heat generation between pads and linings attached to back/pressure plate and rotor, respectively. Numerical results are compared with experimental ones.

• Elastomers and Composites
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• 제49권2호
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• pp.149-154
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• 2014

실리카와 카본블랙을 함유한 SBR 배합고무를 대상으로 마찰 및 마모거동을 조사하였다. 인열에너지 이론을 배경으로 설계된 칼날형 마모시험기를 이용하였으며 마찰일의 크기가 SBR 배합고무의 마모속도에 미치는 영향을 평가하였다. 마찰일이 증가할수록 마모속도가 증가하는 power law관계를 확인하였다. 칼날형 마모시험기를 통해 기존의 간헐적 마모손실무게 측정 대신 연속적 마모이동거리 측정이 가능했으며 보다 정확한 마모속도를 결정할 수 있었다.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2000년도 추계학술대회 논문집
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• pp.517-522
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• 2000

When a body including a crack inside is subjected to the compressive forces, the crack is closed and sliding occurs on the crack surfaces. In this work, a subsurface crack subjected to a static or moving compressive load is analyzed with the finite element method considering friction on the crack surface. The friction on the crack surface is assumed to follow the Coulomb friction law. A numerical method based on the finite element method and iterative method is applied in this work. And the result is compared with the frictional contact of crack by ANSYS using contact 12 element. The numerical results of two methods are compared with the wellknown analytical solutions, and the accuracy of iterative method is checked..

• Journal of applied mathematics & informatics
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• 제41권3호
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• pp.487-510
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• 2023

We propose a mathematical model which describes the frictional contact between a piezoelectric body and an electrically conductive foundation. The behavior of the material is described with a linearly electro-viscoelastic constitutive law with long term memory. The mechanical process is dynamic and the electrical conductivity coefficient depends on the total slip rate, the friction is modeled with Tresca's law which the friction bound depends on the total slip rate with taking into account the electrical conductivity of the foundation both. The main results of this paper concern the existence and uniqueness of the weak solution of the model; the proof is based on results for second order evolution variational inequalities with a time-dependent hemivariational inequality in Banach spaces.

• 대한수학회지
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• 제53권1호
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• pp.161-185
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• 2016

We consider a mathematical model which describes the quasistatic frictional contact between a piezoelectric body and an electrically conductive obstacle, the so-called foundation. A nonlinear electro-viscoelastic constitutive law is used to model the piezoelectric material. Contact is described with Signorini's conditions and a version of Coulomb's law of dry friction in which the adhesion of contact surfaces is taken into account. The evolution of the bonding field is described by a first order differential equation. We derive a variational formulation for the model, in the form of a system for the displacements, the electric potential and the adhesion. Under a smallness assumption which involves only the electrical data of the problem, we prove the existence of a unique weak solution of the model. The proof is based on arguments of time-dependent quasi-variational inequalities, differential equations and Banach's fixed point theorem.

• 수산해양기술연구
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• 제27권2호
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• pp.120-124
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• 1991

이상의 결과를 정리하면 다음과 같이 요약할 수 있다. (1)Karman의 적분 방정식에 미소 거칠기 영향을 고려함으로서 디퓨져 닥트 표면의 경계층 계산에 응용한 결과 모멘트 적분법 및 실험치와의 비교에서 개선된 결과임이 확인되었다. (2) 국소 거칠기의 효과를 주는 방법으로는 Cole의 벽 및 와 법칙에 Clauser의 거칠기 함수와, 압력 기울기를 고려한 부가 형상계수 값으로 적분 방정식에 응용할 수 있다. (3) 국소 거칠기 분포에 의하여 경계층 특성을 교란시켜 표면 마찰력 계수를 줄일 수 있어 마찰력 손실을 줄일 수 있는 방안이 제시되었다.