• Title/Summary/Keyword: Hertzian Contact Stress

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Contact Stress Analysis of a Pair of Mating Spur Gears (스퍼기어의 접촉응력 해석)

  • Lee, Jin-Hwan;Lee, Dong-Hyong;Lee, Kwon-Hee
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.4
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    • pp.59-65
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    • 2010
  • This paper presents the study on the contact stress analysis of a pair of mating spur gears during rotation. Contact stress analysis is performed between two spur gear teeth at different contact positions during rotation. An example is presented to investigate the variation of contact stress on a pair of mating gears with contact positions. The variation of contact stress during rotation is compared with the contact stress at lowest point of single tooth contact(LPSTC) and AGMA Equation for contact stress. The results show that contact stress varies along the contact position and gets maximum values in the beginning and end of the contact. In this study, the gear design considering the contact stress on a pair of mating gears is more severe than that of AGMA standard.

Hertzian Crack Suppression and Damage Tolerance of Silicon Nitride Bilayer

  • Lee, Kee-Sung;Kim, Do-Kyung;Lee, Seung-Kun;Lawn, Brian R.
    • The Korean Journal of Ceramics
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    • v.4 no.4
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    • pp.356-362
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    • 1998
  • Hertzian crack suppression phenomena and relatively high damage tolerance were investigated in hard/soft silicon nitride ($Si_3N_4$) bilayers. Coarse $\alpha}-Si_3N_4$ powder was wsed for the hard coating layer and fine $\alpha}-Si_3N_4$ powder was used for the soft substrate layer. The two layers were designed with a strong interface. Hertzian indentation was used to investigate contact fracture and damage tolerance property. Hertzian crack suppression has occurred with increasing applied load and decreasing coating thickness. The crack suppression contributed strength improvement, especially in the bilayers with thinner coatings. Ultimately, the combination of hard coating with soft but tough underlayer improved the damage tolerance of brittle $Si_3N_4$ ceramics.

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Mechanical Propertis and Contact Damage Behavior of Ti$_3$SiC$_2$ (Ti$_3$SiC$_2$의 기계적 성질 및 접촉 손상 거동)

  • 이승건
    • Journal of the Korean Ceramic Society
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    • v.35 no.4
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    • pp.333-338
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    • 1998
  • Mechanical properties of polycrystalline{{{{ {Ti }_{3 }{SiC}_{2 } }} were investigated. Hertzian indentation test using a spher-ical indenter was used to study elastic and plastic behavior in{{{{ {Ti }_{3 }{SiC}_{2 } }} A high ratio of hardness to elastic mo-dulus indicated that mechanical properties of{{{{ {Ti }_{3 }{SiC}_{2 } }} are somehow similar to those of metals. Indentation stress-strain curve deviated from an ideal elastic limit indicating exceptional plasticity in this material. De-formation zones were formed below the contact as well as around the contact area. Intragrain slip would ac-count for high plasticity.

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A study on the Shape Design Contact Characteristic of Wheel-Rail for Rollng Stock (2) (철도차량용 휠과 레일의 접촉특성 해석 및 형상설계에 관한 연구 (2))

  • Seong, Gi-Deuk;Yang, Won-Ho;Jo, Myeong-Rae;Heo, Seong-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.5 s.176
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    • pp.1238-1245
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    • 2000
  • One of the main causes of severe wear or crack initiation in wheel and rail is the contact stress due to wheel-rail contact. First, we obtain contact stress due to the rail mounting slope using the finite element method. Second, the shape design based on more reasonable contact stress analysis rather th~n a general Hertzian contact theory is investigated in order to reduce the contact stress. The optimum -design is performed using the simple 2-D finite element model and its results are verified by 311) finite element analysis.

Strength Degradation from Contact Fatigue in Self-toughened Glass-ceramics

  • Lee, Kee Sung;Kim, Do Kyung;Woo, Sang Kuk;Han, Moon Hee
    • The Korean Journal of Ceramics
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    • v.7 no.2
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    • pp.63-69
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    • 2001
  • We investigated strength degradations from cyclic contact fatigue in self-toughened glass-ceramics. Hertzian indentation was used to induce cyclic contact load. Dynamic fatigue was also performed with changing stress rates from 0.01 to 10000 MPa/sec. After that, strength data and fracture origins were analysed. As the number of contact cycles increased or stressing rate decreased, severe strength degradation occurred by as much as 50% because of radial cracks developed from microcrack coalescence.

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A Study on the Shape Design of Wheel-Rail for Rolling Stock (철도차량용 휠과 레일의 형상설계에 관한 연구)

  • Seong, Gi-Deuk;Yang, Won-Ho;Jo, Myeong-Rae;Heo, Seong-Pil
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.11 s.170
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    • pp.2033-2039
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    • 1999
  • One of the main causes of severe wear or crack initiation in wheel and rail is the contact stress due to wheel-rail contact. In this paper, the shape design based on more reasonable contact stress analysis rather than a general Hertzian contact theory is investigated in order to reduce the contact stress. The optimal design is performed using the simple 2-D finite element model and its results are verified by 3-D finite element analysis.

Finite Element Simulation of Surface Pitting due to Contact Fatigue (접촉피로에 의한 표면피팅의 유한요소 시뮬레이션)

  • Rhee, Hwan-Woo;Kim, Sung-Hun
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.3
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    • pp.80-88
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    • 2010
  • A simple computational model for modeling of subsurface crack growth under cyclic contact loading is presented. In this model, it is assumed that the initial fatigue crack will initiate in the region of the maximum equivalent stress at certain depth under the contacting surface. The position and magnitude of the maximum equivalent stress are determined by using the equivalent contact model, which is based on the Hertzian contact conditions with frictional forces. The virtual crack extension method is used for simulation of the fatigue crack growth from the initial crack up to the formation of the surface pit due to contact fatigue. The relationships between the stress intensity factor and crack length are then determined for various combinations of equivalent contact radii and loadings.

In-vitro Hertzian Fatigue Behavior of Zirconia/Alumina Composites (지르코니아/알루미나 복합체의 In-vitro Hertzian 피로거동)

  • Lee, Deuk-Yong;Park, Il-Seok;Kim, Dae-Joon;Lee, Se-Jong
    • Journal of the Korean Ceramic Society
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    • v.41 no.1
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    • pp.69-75
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    • 2004
  • The degree of the indentation damage and strength degradation for 3Y-TZP ceramics and (Y,Nb)-TZP/$Al_2O_3$ dental implant composites was investigated under the Hertzian cyclic fatigue. Fatigue tests were conducted at contact loads of 500 to 3000 N and up to $10^6$ cycles in exact in vitro environments. At 500 N, no strength degradation and crack generation was observed up to $5{\times}10^5$ contact cycles. Fatigue properties of 3Y-TZP ceramics was superior to (Y,Nb)-TZP/ㅍ composites due to stress relief caused by the phase transformation from tettagonal to monoclinic phase. As contact load increased, the drastic reduction in strength was found when the damage transition from ring to radial crack occurred. The extent of strength degradation was more pronounced in vitro environments probably due to chemical corrosion of artificial saliva through cracks introduced during large numbers of contacts.