• Title/Summary/Keyword: Hertzian Cracks

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Non-Destructive Detection of Hertzian Contact Damage in Ceramics

  • Ahn, H.S.;Jahanmir, S.
    • Tribology and Lubricants
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    • v.11 no.5
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    • pp.114-121
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    • 1995
  • An ultrasonic technique using normal-incident compressional waves was used to evaluate the surface and subsurface damage in ceramics produced by Hertzian indentation. Damage was produced by a blunt indenter (tungsten carbide ball) in glass-ceramic, green glass and silicon nitride. The damage was classified into two types; (1) Hertzian cone crack, in green glass and fine grain silicon nitride, and (2) distributed subsurface micro fractures, without surface damage, produced in glass ceramic. The ultrasonic technique was successful in detecting cone craks. The measurement results with the Hertzian cone cracks indicated that cracks perpendicular to the surface could be detected by the normal-incident compressional waws. Also shown is the capability of normal-incident compressional waves in detection distributed micro-sized cracks size of subsurface microfractures.

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

  • Kim, Chul;Kim, Sang Kyum;Kim, Tae Woo;Lee, Kee Sung
    • Journal of the Korean Ceramic Society
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    • v.51 no.5
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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.

Mode I and Mode II Stress Intensity Factors for a Surface Cracked in TiN/Steel Under Hertzian Rolling Contact (Hertzian 접촉하중시 TiN/Steel의 표면균열에 대한 모드 I과 모드 II 응력확대계수)

  • Kim, Byeong-Su;Kim, Wi-Dae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.8
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    • pp.1163-1172
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    • 2001
  • The two dimensional problem of a layered tribological system(TiN/Steel) containing a vertical surface breaking crack and subject to rolling contact is considered in this study. Using finite elements and stress extrapolation method, a series of preliminary models are developed. Preliminary results indicate that the extrapolation technique is valid to determine Modes I and II stress intensity factors for cracks. In the case of TiN/Steel medium, KI and KII were determined for variations in crack length, layer thickness, and load location. The results show that KII reaches maximum values when the contact is adjacent to the crack where Mode I stresses are compressive. KII values decrease with decreased crack length and significantly decrease for reduced layer thickness.

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

  • 정연길;최성철
    • Journal of the Korean Ceramic Society
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    • v.35 no.7
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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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Mutual Interference of Two Surface Cracks under Hertzian Contact Loading (Hertz 접촉하중하에서의 복수표면균열의 상호간섭)

  • Kim, Sang-Woo;Kim, Seock-Sam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.10
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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.

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

  • 정연길;여정구;최성설
    • Journal of the Korean Ceramic Society
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    • v.35 no.12
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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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Propagation Behavior of Inclined Surface Crack of Semi-Infinite Elastic Body under Hertzian Contact (반무한 탄성체의 헤르츠 접촉하의 경사진 표면균열의 전파거동)

  • 김재호;김석삼;박중한
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.624-635
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    • 1990
  • Analytical study based on linear fracture mechanics was conducted on propagation behavior of inclined surface crack in semi-infinite elastic body. The analytical model was assumed to be inclined surface crack under plane strain condition upon which Hertzian stress was superimposed. Supposing continuous distribution of dislocation and applying Erdogan-Gupta's method to this crack problem, the stress intensity factors $K_{I}$ and $K_{II}$) at the crack-tip were obtained for various Hertzian contact positions. Analytic results have shown that driving force for crack growth is $K_{I}$ for non-lubricated condition and $K_{II}$ for fluid and boundary lubricated condition. The coefficient of friction at the hertzian contact and crack surfaces plays an important role in predicting the direction of crack propagation. It is also found that the maximum effective stress intensity factor exists at cracks of a certain specific length depending on lubricated condition.ion.n.

Hertzian contact fatigue of dental ceramic implant abutment (인공치아용 세라믹 임플란트 상부구조물의 반복하중 피로특성)

  • Lee Deuk Yong
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.14 no.5
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    • pp.199-203
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    • 2004
  • Feasibility of 3Y-TZP for dental implant abutment was evaluated under the Hertzian cyclic fatigue by examining the extent of the indentation damage and strength degradation. Fatigue test was 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 $5\times10^5$ contact cycles. As load rose, the dramatic reduction in strength was observed when the damage transition from ring to radial crack occurred. The. extent of strength degradation was more pronounced in vitro environment probably due to chemical corrosion of artificial saliva through cracks introduced during large numbers of contacts.

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

  • 이기성;이승건;김도경
    • Journal of the Korean Ceramic Society
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    • v.34 no.12
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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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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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