• Title/Summary/Keyword: Max. contact stress

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Stress Intensity Factors and Possible Crack Propagation Mechanisms for a Crack Surface in a Polyethylene Tibia Component Subject to Rolling and Sliding Contact (구름마찰 접촉하중시 Polyethylene Tibia 표면균열의 응력확대계 수와 복합전파거동에 관한 연구)

  • Kim, Byung-Soo;Moon, Byung-Young
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.12
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    • pp.2019-2027
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    • 2003
  • Pitting wear is a dominant from of polyethylene surface damage in total knee replacements, and may originate from surface cracks that propagate under repeated tribological contact. In this study, stress intensity factors, K$\_$I/and $_{4}$, were calculated for a surface crack in a polyethylene-CoCr-bone system under the rolling and/or sliding contact pressures. Crack length and load location were considered in determination of probable crack propagation mechanisms and fracture modes. Positive K$\_$I/ values were obtained for shorter cracks in rolling contact and for all crack lengths when the sliding load was apart from the crack. $_{4}$ was the greatest when the load was directly adjacent to the crack (g/a=${\pm}$1). Sliding friction caused a substantial increase of both K$\_$I/$\^$max/ and $_{4}$$\^$max/. The effective Mode I stress intensity factors, K$\_$eff/, were the greatest at g/a=${\pm}$1, showing the significance of high shear stresses generated by loads adjacent to surface cracks. Such behavior of K$\_$eff/ suggests mechanisms for surface pitting by which surface cracks may propagate along their original plane under repeated rolling or sliding contact.

Study for Possible Crack Propagation Mechanisms for a Surface Cracked in a Polyethylene Tibia Component Subject to Rolling and Sliding Contact (구름마찰접촉하중 시 Polyethylene tibia 요소의 표면균열 복합전파 거동에 관한 연구)

  • Kim, B.S.;Moon, B.Y.
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1222-1227
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    • 2003
  • Pitting wear is a dominant form of polyethylene surface damage in total knee replacements, and may originate from surface cracks that propagate under repeated tribological contact. In this study, stress intensity factors, $K_{I}$ and $K_{II}$, were calculated for a surface crack in a polyethylene - CoCr - bone system under the rolling and/or sliding contact pressures. Crack length and load location were considered in determination of probable crack propagation mechanisms and fracture modes. Positive $K_{I}$ values were obtained for shorter cracks in rolling contact and for all crack lengths when the sliding load was apart from the crack. $K_{II}$, was the greatest when the load was directly adjacent to the crack $(g/a={\pm}1)$. Sliding friction caused a substantial increase of both $K_{I}^{max}$ and $K_{II}^{max}$. The effective Mode I stress intensity factors, $K_{eff}$, were the greatest at $g/a={\pm}1$, showing the significance of high shear stresses generated by loads adjacent to surface cracks. Such behavior of $K_{eff}$ suggests mechanisms for surface pitting by which surface cracks may propagate along their original plane under repeated rolling or sliding contact.

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Estimation of Fatigue Damage Due to Rolling Contact in a Railway Wheel Using FEM Analysis (유한요소법을 이용한 철도 차륜에서 구름 접촉으로 인한 피로손상 평가)

  • Lee, Sang-Hoon;Kim, Ho-Kyung
    • Journal of the Korean Society of Safety
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    • v.26 no.3
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    • pp.1-7
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    • 2011
  • Fatigue damage on the train wheel surface was estimated by considering the effect of friction coefficient of rolling on the contact surface between the wheel and rail during operation. From FEM analys, the maximum Tresca stress was 550.7 MPa at a depth of 2.07 mm under the maximum contact pressure ($P_{max}$ = 894.3 MPa) between wheel and rail. The maximum stress continued to increase along with the increase in the frictional coefficient. The fatigue initiation lifetime of the wheel by the rolling contact was predicted using the Smith-Watson-Topper (SWT) equation and the maximum principal strain equation (${\varepsilon}$-N).

FEM Analysis on Rolling Contact Fatigue Crack of a Railway Wheel (철도 차륜의 구름접촉 피로 균열에 관한 유한요소해석)

  • Kim, Ho-Kyung;Yang, Kyoung-Tak;Kim, Hyun-Jun
    • Journal of the Korean Society of Safety
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    • v.22 no.2 s.80
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    • pp.8-14
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    • 2007
  • In this study, tensile and fatigue crack propagation tests machined from actual wheels were performed. FEM analysis also was performed on the crack that was assumed to be 15 mm in depth under the wheel tread surface. The stress intensity factors K I and K II at the crack tip under the stress($P_{max}=911.5MPa$) due to a rolling contact were analyzed for crack growth characteristics. As a result, the perpendicular crack was found to be more dangerous compared to the parallel one. It is found that in the wheel fatigue crack, parallel to the wheel tread surface, the crack with its length 2a = 2.4mm starts to propagate due to the fact that the effective stress intensity factor access to the threshold stress intensity factor($K_{th}=16.04MPa{\sqrt{m}}$) of the wheel.

Effect of Mn Addition on Rolling Contact Fatigue of C-Base Induction Hardened Bearing Steels (C계 유도경화 베어링강의 회전접촉 피로거동에 미치는 Mn 첨가의 영향)

  • Jung, Kyung-Jo;Yoon, Kee-Bong;Choi, Byung-Young
    • Journal of the Korean Society for Heat Treatment
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    • v.8 no.3
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    • pp.205-212
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    • 1995
  • Effect of Mn addition on rolling contact fatigue of C-base induction hardened bearing steels has been investigated to develop inexpensive surface-hardened bearing steels with improved resistance to rolling contact fatigue. Fatigue tests were conducted in elasto-hydrodynamic lubricating conditions at a shaft speed of 5,000rpm, under max. Hertzian stress of $492kg/mm^2$. It was found in the C-Mn steels that effective depth of induction hardened layer and amount of retained austenite were slightly increased in comparison with those of C-base steels. finer interlamellar spacing of pearlite in the C-Mn steels was also observed using TEM. Decomposition of retained austenite during rolling contact fatigue was smaller in quantity in the C-Mn steels than C-base steels. This might be associated with enhanced mechanical stability of retained austenite with addition of Mn. Statistical analysis of fatigue life for C-Mn steels using Weibull distribution indicated that improved resistance to rolling contact fatigue was mainly attributed to transformation induced plasticity and mechanical stability of retained austenite.

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Effect of Retained Austenite on Rolling Contact Fatigue of Nitrocarburized High-Carbon Chromium Bearing Steel (침질탄화처리한 고탄소 크롬 베어링강의 회전접촉 피로거동에 미치는 잔류오스테나이트의 영향)

  • Choi, Byung Young;Kim, Dong Keon;Kim, Chang Seok;Jin, Jai Koan
    • Journal of the Korean Society for Heat Treatment
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    • v.9 no.3
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    • pp.169-176
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    • 1996
  • Effect of retained austenite on rolling contact fatigue of nitrocarburized high-carbon chromium bearing steel has been investigated to develop surface-hardened bearing steel with imprved resistance to rolling contact fatigue. Fatigue tests were conducted in elesto-hydrodynamic lubricating conditions at a shaft speed of 5,000rpm, under max, hertzian stress of $492kg/mm^2$. Volume fraction of retained austenite in austenitic nitrocarburized STB2 steel was controlled by tempering at various temperature, $200{\sim}250^{\circ}C$. It was observed using TEM that decomposition of retained austenite during tempering at $250^{\circ}C$ was the highest in quantity, resulted in formation of lower bainite. Rolling contact fatigue life of the specimens with lower bainite, formed by decomposition of retained austenite, was improved in comparison with there of specimens with more amount of retained austenite.

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A Study on Fatigue Crack Growth of an EMU Wheel due to Repeated Rolling Contacts (전동차 차륜의 반복 구름 접촉에 의한 피로균열 전파에 관한 연구)

  • Kim Ho-Kyung;Lee Duk Gyu
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.595-600
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    • 2004
  • The EMU wheel is one of the most important component for the vehicle safety. For the tensile, fracture toughness and crack propagation tests, several specimens were collected from actual wheels. FEM ,analysis also was performed on the crack that was assumed to be 15 mm in depth under the wheel tread surface. The stress intensity factors $K_{I}$ and $K_{II}$ at the crack tip under the stress ($P_{max}$ = 911.5 MPa) due to a rolling contact were analyzed for crack growth characteristics. As a result, the perpendicular crack was found to be more dangerous compared to the parallel one.

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Development of a fatigue life Prediction Program for the Hub Bearing Unit (허브 베어링 유닛 수명 예측 프로그램 개발)

  • Hwang Chul-Ha;Jun Kab-Jin;Yoon Ji-Won;Park Tae-Won;Kim Seung-Hak;Yi Kyung-Don
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.5
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    • pp.142-151
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    • 2005
  • To predict the fatigue life of the Hub Bearing Unit(HBU), preload effect and initial axial clearance have to be considered. Various theory and equations for the HBU design used in the passenger car are well developed in many literatures. But most design hand book for bearings or bearing catalogues do not consider the initial axial clearance and preload effect. So there are limits and difficulties to use those data in actual bearing design. To consider the preload effect and initial axial clearance, complex elliptic integrals and nonlinear equations are involved. These equations are difficult to solve during the design process. In order to solve these problems effectively, a program is developed to solve these equations reliably and to help the designer in obtaining the performance data of the HBU such as load distribution, maximum contact stress and fatigue life. The preprocessor of the program helps users to prepare the input data through a dialog box and the post processor makes graphical presentation of the result. In this paper, theoretical and numerical background for the prediction of the fatigue life of the HBU is explained. A simple example is presented to show the usefulness of developed program.

Stress distribution in premolars restored with inlays or onlays: 3D finite element analysis

  • Yang, Hongso;Park, Chan;Shin, Jin-Ho;Yun, Kwi-Dug;Lim, Hyun-Pil;Park, Sang-Won;Chung, Hyunju
    • The Journal of Advanced Prosthodontics
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    • v.10 no.3
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    • pp.184-190
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    • 2018
  • PURPOSE. To analyze stress distribution in premolars restored with inlays or onlays using various materials. MATERIALS AND METHODS. Three-dimensional maxillary premolar models of abutments were designed to include the following: 1) inlay with O cavity (O group), 2) inlay with MO cavity (MO group), 3) inlay with MOD cavity (MOD group), and 4) onlay (ONLAY group). A restoration of each inlay or onlay cavity was simulated using gold alloy, e.max ceramic, or composite resin for restoration. To simulate masticatory forces, a total of 140 N static axial force was applied onto the tooth at the occlusal contact areas. A finite element analysis was performed to predict the magnitude and pattern of stresses generated by occlusal loading. RESULTS. Maximum von Mises stress values generated in the abutment teeth of the ONLAY group were ranged from 26.1 to 26.8 MPa, which were significantly lower than those of inlay groups (O group: 260.3-260.7 MPa; MO group: 252.1-262.4 MPa; MOD group: 281.4-298.8 MPa). Maximum von Mises stresses generated with ceramic, gold, and composite restorations were 280.1, 269.9, and 286.6 MPa, respectively, in the MOD group. They were 252.2, 248.0, 255.1 MPa, respectively, in the ONLAY group. CONCLUSION. The onlay design (ONLAY group) protected tooth structures more effectively than inlay designs (O, MO, and MOD groups). However, stress magnitudes in restorations with various dental materials exhibited no significant difference among groups (O, MO, MOD, ONLAY).

Finite Element Stress Analysis of Bone Tissue According to the Implant Connection Type (2종의 임플란트 내부결합구조체에 따른 치조골상 유한요소응력 분석)

  • Byun, Ook;Jung, Da-Un;Han, In-Hae;Kim, Seong-Ryang;Lee, Chang-Hee
    • Journal of Dental Rehabilitation and Applied Science
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    • v.29 no.3
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    • pp.259-271
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    • 2013
  • The purpose of this study was to make the stress distribution produced by simulated different load under two types of internal connection implant system (stepped and tapered type) by means of 3D finite element analysis, The finite element model was designed with the parallel placement of the one fixtures ($4.0mm{\times}11.5mm$) with reverse buttress thread on the mandibular 1st molar. Two models were loaded with 200 N magnitude in the vertical direction on the central position of the crown, the 1.5 mm and 3 mm buccal offset point from the central position of the fixture. The oblique load was applied at the angle of $30^{\circ}$ on the crown surface. Von Mises stress value was recorded and compared in the fixture-bone interface in the bucco-lingual dimension. The results were as follows; 1. The loading conditions of two internal connection implant systems (stepped and tapered type) were the main factor affecting the equivalent bone strain, followed by the type of internal connections. 2. The stepped model had more mechanical stability with the reduced max. stress compared to $11^{\circ}$ tapered models under the distributed oblique loading. 3. The more the contact of implant-abutment interface to the inner wall of implant fixture, the less stress concentration was reduced.