• 제목/요약/키워드: Hertzian Contact Stress

검색결과 69건 처리시간 0.027초

有限要素法을 이용한 齒車의 接觸 應力 解析 (An Analysis of the Contact Problem between Mating Involute Gear Teeth Using Finite Element Method)

  • 이대희;최동훈;임장근;윤갑영
    • Tribology and Lubricants
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    • 제4권2호
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    • pp.28-35
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    • 1988
  • A general and efficient algorithm is proposed for the analysis of the frictionless elastic contact problems. It utilizes a simplex-type algorithm with a modified entry rule and incoporates finite element method to obtain flexibility matrices. The algorithmic solution is compared with the Hertzian solution for the contact problem between two cylinders to prove its accuracy and the contact problem between pin and piston rod is solved and compared with the numerical results of Frankavilla and Zienkiewicz to demonstrate the generality and effectiveness of the suggested algorithm. The contact problem between mating involute gear teeth at the worst load position is considered. The computed contact stress is smaller than the result of Hertz's theory applied to the contact between two kinematically equivalent discs and the contact area is larger than that of Hertz's theory.

치아 응용을 위한 /유리침윤 알루미나 이중 층상구조의 접촉손상 및 파괴 (Contact Damage and Fracture of Poreclain/Glass-Infiltrated Alumina Layer Structure for Dental Application)

  • 정연길;여정구;최성설
    • 한국세라믹학회지
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    • 제35권12호
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    • pp.1257-1265
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    • 1998
  • Hertzian contact tests were used to investigate the evolution of fracturedamage in the coating layer as functions of contact load and coating thickness by studying crack patterns in porcelain on glass-infiltrated alumina bilayer system conceived to simulate the crown structure of a tooth. Cone cracks initiated at the coating top surface without delamination at interface and crack propagation to substrate. Preferentially the cracks made multi-cracks at the coating top surface rather than proceeding to interface. The cracks were highly stabilized with wide ranges between the loads to initiate first cracking and to cause final failure im-plying damage-tolerant capability. Finite element modelling was used to evaluate the stress distribution. Maximum tensile stress were responsible for the cracking at the coating layer and had a profound influence on the crack pattern and fracture damage in the layered structure materials.

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질화규소 이층 층상재료에서 코팅층의 파괴에 관한 연구 : I. Elastic/Plastic Mismatch의 영향 (A Study on the Coating Fracture in Silicon Nitride Bilayer : I. Effect of Elastic/Plastic Mismatch)

  • 이기성;이승건;김도경
    • 한국세라믹학회지
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    • 제34권12호
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    • pp.1268-1274
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    • 1997
  • Effect of elastic/plastic mismatch on the fracture of Si3N4 coating in Si3N4/Si3N4 -BN bilayer was investigated by Hertzian indentation testing. A different amount of mismatch between two layers was induced by different BN addition in the substrate layer, and Hertizian cracks were induced by using WC ball indenter. As a result, as the elastic/plastic mismatch between coating and substrate layer increased, the coating fracture easily occurred. A bending stress induced by different elastic/plastic mismatch was main reason to cause the fracture of coating.

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유리침윤 알루미나 및 스핀넬 복합체에 관한 연구 I. 미세구조 및 유리함량이 접촉손상 및 강동에 미치는 영향 (A Study on Glass-Infiltrated Alumina and Spinel Composite I. Effect of Microstructure and Glass Content on Contant Damage and Strength)

  • 정연길;최성철
    • 한국세라믹학회지
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    • 제35권7호
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    • pp.671-678
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    • 1998
  • Hertzian indentation tests with sphere indenters were used to study the mechanical properties of glass-in-filtrated alumina and spinel composites and evaluated the effect of preform microstructure and evaluated the effect of preform microstructure and glass con-tents on contanct damage and strength. The spinel composite showed more brittle behavior than the alumina composite which is verified from indentation stress-strain curve cone cracks and quasi-plastic deformation developed at subsurface. Failure originated from either cone cracks(brittle mode) or deformation zone(quasi-plastic mode) above critical load for cracking(Pc) and yield ({{{{ {P }_{Y } }}) with the brittle mode more dominant in the spinels and the quasi-plastic mode more dominant in the aluminas. Even though brittle mode was dominant in the spinel composites the strength degradation from accumulation of damage above these critical loads was conspicuously small suggesting that the glass-infiltrated composites should be highly damage tolerant to the blunt contacts.

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유리/다공성 알루미나의 접촉하중에 의한 기계적 거동 (Mechanical Behavior of Glass/Porous Alumina by Contact Loading)

  • 김철;김상겸;김태우;이기성
    • 한국세라믹학회지
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    • 제51권5호
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    • pp.399-405
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    • 2014
  • Porous alumina with different porosities, 5.2 - 47.5%, were coated with cover-glass having a thickness of $160{\mu}m$, using epoxy adhesive. We investigated the effect of the porosity of the substrate layer on the crack initiation load, and the size of cracks propagated in the coating layer. Hertzian indentations were used to evaluate the damage behavior under a constrained loading condition. Typically, two types of cracks, ring cracks and radial cracks, were observed on the surface of the glass/porous alumina structure. Indentation stress-strain curves, crack initiation loads, crack propagation sizes, and flexural strengths were investigated as a function of porosities. The results indicated that a porosity of less than 30% and a higher substrate elastic modulus were beneficial at suppressing cracks occurrence and propagation. We expect lightweight mechanical components with high strength can be successfully fabricated by coating and controlling porosities in the substrate layer.

Hertz 접촉하중하에서의 복수표면균열의 상호간섭 (Mutual Interference of Two Surface Cracks under Hertzian Contact Loading)

  • 김상우;김석삼
    • 대한기계학회논문집A
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    • 제20권10호
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    • pp.3048-3057
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    • 1996
  • Analysis model containing two inclined surface cracks on semi-infinite elastic body is established and analyzed on the basis of linear fracture mechanics to examine mutual interference of two surface cracks. Muskhelishvili's complex stress functions are introduced and a set of singular integral equations is obtained for a dislocation density function. The stress intensity factors at crack tip are obtained by using the Gerasoulis'method. When two surface cracks are parallel and have the same length, the values of $K_1$and $\Delta K_11$(variation of $K_11$) for crack 1 and crack 2 decrease by the mutual interference of two surface cracks as the distance between the two surface cracks shortens. The effect of mutual interference is remarkable in high friction coefficient. In case that two surface cracks are parallel, the values of $K_1$and $\Delta K_11$for crack 2 decrease as the length ratio ot crack 2 to crack 1 becomes small. As the crack inclination angle rises, the value of $K_1$ and the mutual interference of $K_1$for crack 2 increase and the value of$\Delta K_11$ for crack 1 becomes smaller than that for crack 2.

혜르츠접촉하에서 응력확대계수의 간단한 계산법 (A Simplified Estimation of Stress Intensity Factor on the Hertzian Contact)

  • Jin, Song-Bo;Kim, Seock-Sam
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1999년도 제29회 춘계학술대회
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    • pp.30-37
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    • 1999
  • 헤르츠 접촉하에 있는 반무한체에서의 표면균열을 살펴보았다. 시편의 응력확대계수 K를 구하기 위해 사용되는 간단화된 방법을 이 논문에 쓰여진 모델에 적용시켰다. 기존에 알려진 결과에 비해 상당히 만족스런 결과를 얻었으며 다른 방법보다 이 방법이 훨씬 더 편리함이 입증되었다.

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질화규소의 기계적 성질 및 접촉 손상 : II. 미세구조의 영향 (Mechanical Properties and Contact Damage of Silicon Nitrides Nitrides : II. Effect of Microstructure)

  • 이승건
    • 한국분말재료학회지
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    • 제5권1호
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    • pp.22-27
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    • 1998
  • The effect of the $\alpha$/$\beta$ phase fraction on the mechanical properties in silicon nitrides was investigated in part 1. In part II, we describe the role of microstructure on the mechanical properties and contact damage of silicon nitrides with coarse/equiaxed and coarse/elongated microstructures. Grain sizes and shapes were controlled by starting powder. Hertzian indentation using spherical indenter was also used to investigate contact damage behavior. Cone cracks from the spherical indentation were suppressed when the silicon nitride contains coarse and elongated grains. Coarse and elongated grains played an important role of cone crack suppression. The size of quasi-plastic zone does not depend on grain size or shape but depends on the fraction of $\alpha$/$\beta$ phase. A quasi-plastic zone was consisting of microcracks by shear stress during indentation.

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

  • 정경조;윤기봉;최병영
    • 열처리공학회지
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    • 제8권3호
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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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Diesel Engine용 내마모 초경 Tappet 개발 (The development of high wear resistant tappet in diesel engine)

  • 송근철;심동섭;김경운;조정환
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1998년도 제28회 추계학술대회
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    • pp.313-322
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    • 1998
  • Tappet has wear problems like scuffing or pitting because of high Hertzian contact stress by line contact type between cam and tappet. To overcome this wear problems, we developed the high wear resistant tappet. Developed tappet consists of WC base alloyed tip and steel body. These two parts were directly bonded each other at high temperature under vacuum condition. To estimate the wear resistance of tungsten carbide tappet, we perform the scuffing test and engine dynamo test. As the result, tungsten carbide tappet has better wear resistance than conventionally chilled iron tappet.

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