• Title/Summary/Keyword: Contact Mechanics

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A Study on the Damage Propagation of an Aircraft Material During Forming (항공기 재료 성형시의 손상진전에 관한 연구)

  • 김위대;김진희;김승조
    • Transactions of Materials Processing
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    • v.4 no.2
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    • pp.131-140
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    • 1995
  • In this paper damage propagation of a material during forming is investigated with the concept of continuum damage mechanics. An isotropic damage model based on the theory of materials of type N is adopted to describe the damage process of a ductile material with large elasto-viscoplastic deformation. The stiffness degradation of the loaded material is chosen as a damage measure. The highly nonlinear equilibrium equations are reduced to the incremental weak form and approximated by the total Lagrangian finite element method. To simulate contact condition, extended interior penalty method with modified coulomb friction law is adopted. The displacement control method along with the modified Riks' continuation technique is used to solve the incremental iterative equations. As numerical examples, upsetting problem and backward extrusion problem are simulated and the results of damage propagation and $J_2$ stress contours with and without friction are presented.

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Development of Speed Reducer Integrated Driving system Apply to Vehicle Window Motor (차량용 윈도우 모터를 적용한 감속기 일체형 구동부 개발)

  • Youm, Kwang-Wook;Ham, Seong-Hun
    • Journal of Power System Engineering
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    • v.20 no.1
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    • pp.57-62
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    • 2016
  • In this study, design the core part of the driving of the robot. The power of the driving is window motor for automobiles obtained by using a method of directly to the motor shaft of the worm gear type. The decelerator consists of a worm gear to receive power from the motor shaft, Helical gear contact to worm gear, a pinion gear to be connected in line with the helical gear, and an output shaft to be engaged to the pinion gear. Drive system by using the power from the motor shaft based on the deceleration gear designed by the gear ratio set by the gear teeth increases the torque.

Thermoelastic Finite Element Analysis of Double horizontal Subsurface Cracks Due to Sliding Surface Traction (마찰열을 고려한 미끄럼 접촉시 내부 복수 수평균열 전파해석)

  • 이진영;김석삼;채영훈
    • Tribology and Lubricants
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    • v.18 no.3
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    • pp.219-227
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    • 2002
  • A linear elastic fracture mechanics analysis of double subsurface cracks propagation in a half-space subjected to moving thermomechanical surface traction was performed using the finite element method. The effect of frictional heat at the sliding surface on the crack growth behavior is analyzed in terms of the thermal load and peclet number. The crack propagation direction is predicted in light of the magnitudes of the maximum shear and tensile stress intensity factor ranges. When moving thermomechanical surface traction exists, subsurface horizontal cracks are propagation in-plane crack growth rate at the beginning but they are propagation out-of-plane crack growth rate by the frictional heat which is occurrence by the repeated sliding contact.

Mechanics of lipid membranes subjected to boundary excitations and an elliptic substrate interactions

  • Kim, Chun Il
    • Coupled systems mechanics
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    • v.6 no.2
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    • pp.141-155
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    • 2017
  • We present relatively simple derivations of the Helfrich energy potential that has been widely adopted in the analysis of lipid membranes without detailed explanations. Through the energy variation methods (within the limit of Helfrich energy potential), we obtained series of analytical solutions in the case when the lipid membranes are excited through their edges. These affordable solutions can be readily applied in the related membrane experiments. In particular, it is shown that, in case of an elliptic cross section of a rigid substrate differing slightly from a circle and subjected to the incremental deformations, exact analytical expressions describing deformed configurations of lipid membranes can be obtained without the extensive use of Mathieu's function.

내접구를 이용한 3차원 불연속 변형해석의 접촉문제 연구

  • An, Tae-Yeong;Song, Jae-Jun
    • Proceedings of the Korean Society for Rock Mechanics Conference
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    • 2009.03a
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    • pp.153-159
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    • 2009
  • 불연속변형해석(DDA)은 유한요소법(FEM)과 개별요소법(DEM)의 장점을 모두 가지고 있는 해석법이다. 3차원 불연속변형해석의 안정성과 해석속도는 접촉찾기(Contact Detection) 알고리즘과 벌칙스프링(Penalty spring)을 이용한 접촉처리 알고리즘에 의해 크게 좌우되는데, 블록의 꼭지점(vertex) 간의 접촉이 발생할 경우, 적합한 접촉면을 결정하는 과정에서 많은 해석오류와 시간적 손실이 발생할 가능성이 있다. 본 연구에서는 블록의 꼭지점에 내접하는 구(inscribed sphere)를 삽입하여 가상의 접촉점과 접촉면을 생성하는 알고리즘을 연구하였다. 이로 인해 발생할 수 있는 해석의 오차의 크기를 확인하고, 간단한 불연속 변형해석의 해석 실례에 적용해 보았다.

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Thermo-mechanical damage of tungsten surfaces exposed to rapid transient plasma heat loads

  • Crosby, Tamer;Ghoniem, Nasr M.
    • Interaction and multiscale mechanics
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    • v.4 no.3
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    • pp.207-217
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    • 2011
  • International efforts have focused recently on the development of tungsten surfaces that can intercept energetic ionized and neutral atoms, and heat fluxes in the divertor region of magnetic fusion confinement devices. The combination of transient heating and local swelling due to implanted helium and hydrogen atoms has been experimentally shown to lead to severe surface and sub-surface damage. We present here a computational model to determine the relationship between the thermo-mechanical loading conditions, and the onset of damage and failure of tungsten surfaces. The model is based on thermo-elasticity, coupled with a grain boundary damage mode that includes contact cohesive elements for grain boundary sliding and fracture. This mechanics model is also coupled with a transient heat conduction model for temperature distributions following rapid thermal pulses. Results of the computational model are compared to experiments on tungsten bombarded with energetic helium and deuterium particle fluxes.

Extension of a cable in the presence of dry friction

  • Huang, Xiaolun;Vinogradov, Oleg G.
    • Structural Engineering and Mechanics
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    • v.4 no.3
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    • pp.313-329
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    • 1996
  • A mathematical model of a cable as a system of interacting wires with interwire friction taken into account is presented in this paper. The effect of friction forces and the interwire slip on the mechanical properties of tension cables is investigated. It is shown that the slip occurs due to the twisting and bending deformations of wires, and it occurs in the form of micro-slips at the contact patches and macro-slips along the cable. The latter slipping starts near the terminals and propagates towards the middle of the cable with the increase of tension, and its propagation is proportional to the load. As the result of dry friction, the load-elongation characteristics of the cable become quadratic. The energy losses during the extension are shown to be proportional to the cube of the load and in inverse proportion to the friction force, a result qualitatively similar to that for lap joints. Presented examples show that the model is in qualitative agreement with the known experimental data.

Recent Developments in Multibody Dynamics

  • Schiehlen Werner
    • Journal of Mechanical Science and Technology
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    • v.19 no.spc1
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    • pp.227-236
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    • 2005
  • Multibody system dynamics is based on classical mechanics and its engineering applications originating from mechanisms, gyroscopes, satellites and robots to biomechanics. Multibody system dynamics is characterized by algorithms or formalisms, respectively, ready for computer implementation. As a result simulation and animation are most convenient. Recent developments in multibody dynamics are identified as elastic or flexible systems, respectively, contact and impact problems, and actively controlled systems. Based on the history and recent activities in multibody dynamics, recursive algorithms are introduced and methods for dynamical analysis are presented. Linear and nonlinear engineering systems are analyzed by matrix methods, nonlinear dynamics approaches and simulation techniques. Applications are shown from low frequency vehicles dynamics including comfort and safety requirements to high frequency structural vibrations generating noise and sound, and from controlled limit cycles of mechanisms to periodic nonlinear oscillations of biped walkers. The fields of application are steadily increasing, in particular as multibody dynamics is considered as the basis of mechatronics.

Mechanics of the Grinding by Hemispheric Type Electroplated CBN Wheel (반구형 전착 CBN 휠에 의한 연삭가공의 연삭력 해석)

  • Seo, Young-Il;Choi, Hwan;Lee, Jong-Chan;Jung, Sun-Hwan
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.6
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    • pp.153-158
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    • 1998
  • In this paper, a theoretical analysis is presented on the mechanics of the grinding by hemispheric type electroplated CBN wheel. The grinding forces acting on a single grain were calculated from its geometry by assuming the abrasive grain is spherical. Then. the total grinding forces were obtained by estimating the number of acting abrasive grains and the area of contact. The model includes the grinding variables such as wheel speed. feed speed. depth of cut, and grinding wheel positions. Experiments were also carried out to compare with the analytical results. The experimental results were found to be in good agreement with the analytical ones.

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Closed-form Green's functions for transversely isotropic bi-solids with a slipping interface

  • Yue, Zhong Qi
    • Structural Engineering and Mechanics
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    • v.4 no.5
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    • pp.469-484
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    • 1996
  • Green's functions are obtained in exact closed-forms for the elastic fields in bi-material elastic solids with slipping interface and differing transversely isotropic properties induced by concentrated point and ring force vectors. For the concentrated point force vector, the Green functions are expressed in terms of elementary harmonic functions. For the concentrated ring force vector, the Green functions are expressed in terms of the complete elliptic integral. Numerical results are presented to illustrate the effect of anisotropic bi-material properties on the transmission of normal contact stress and the discontinuity of lateral displacements at the slipping interface. The closed-form Green's functions are systematically presented in matrix forms which can be easily implemented in numerical schemes such as boundary element methods to solve elastic problems in computational mechanics.