• 제목/요약/키워드: Stress Intensity factors

검색결과 579건 처리시간 0.027초

直交 異方性 無限平版 內部의 圓孔周圍 龜裂 解析 (Analysis of cracks emanating from a circular hole in an orthotropic infinite plate)

  • 정성균;홍창선
    • 대한기계학회논문집
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    • 제11권6호
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    • pp.895-903
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    • 1987
  • 본 연구에서는 참고문헌 (16)과 (17)에서 등방성과 이방성에 각각 처음으로 제시한 수정 사상 선점법(modified mapping-collocation method)을 이용해서 직교 이 방성 무한 평판 내부의 원공 주위 균열 문제에 대한 혼합모우드 응력 강도 계수를 구 하고자 한다. 본 문제는 기하학적으로 복잡하고 재료의 이방성이 강하기 때문에 해 가 아직 보고되어 있지 않다. 먼저 이론적 해석을 전개함으로써 규열 면에서의 무부 하 조건과 무한점에서의 경계 조건을 완전하게 만족시킨다. 그 후 나머지 원공 경계 에 최소 자승 선점 과정(least square collocation procedure)을 적용하여 근사해를 얻게 된다. 균열 선단 응력 특이성에 미치는 원공 경계 및 이방성의 효과를 알아보 기 위해서 여러가지 형태의 적층판에 대한 응력 강도 계수를 무차원화된 균열 길이의 함수로 나타내 보았다.

복합재료 보강재로 보수되어진 균열을 가진 두꺼운 평판의 피로균열 성장에 관한 연구 (A Study on Fatigue Crack Growth of Composite Patching Repaired on Cracked Thick Plate)

  • 정기현;양원호;고명훈
    • 대한기계학회논문집A
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    • 제25권12호
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    • pp.2070-2077
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    • 2001
  • An experimental investigation of the effect of composite patching repair was conducted to characterize the fatigue crack growth behavior in thick A16061-T6 (6mm) panels with single bonded patch by fiber reinforced composite patch. Four patch lengths and no patch plate were examined. An analytical procedure, involving three-dimensional finite element method having three layers to model cracked aluminum plate, epoxy by adhesive and composite Patch, is calculated the stress intensity factors. From the calculated stress intensity factors, the fatigue crack growth rates are obtained. At the single patching type, different fatigue crack growth ratios through the palate thickness were investigated by using the experimental and analytical results. The results demonstrated that there was a definite variation in fatigue life depending on the size of composite patch. While crack reached the patch end, retardation of crack growth was also revealed in the bonded repair.

보수된 균열을 가진 두꺼운 평판의 피로균열 성장 거동에 관한 실험적 연구 (A Experimental Study on the Fatigue Crack Growth Behavior of Thick Plate with Repaired Crack)

  • 정기현;양원호;김철;성기득
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.292-298
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    • 2001
  • An experimental investigation of the effect of composite patching repair was conducted to characterize the fatigue crack growth behavior in thick A16061-T6 (6mm) panels with single bonded patch by fiber reinforced composite patch. Four patch lengths and no patch plate were examined. An analytical procedure, involving three-dimensional finite element method having three layers to model cracked aluminum plate, epoxy by adhesive and composite patch, is calculated the stress intensity factors. From the calculated stress intensity factors, the fatigue crack growth rates are obtained. At the single patching type, different fatigue crack growth ratios through the plate thickness were investigated by using the experimental and analytical results. The results demonstrated that there was a definite variation in fatigue life depending on the size of composite patch. While crack reached the patch end, retardation of crack growth was also revealed in the bonded repair.

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

  • 김병수;문병영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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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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두께가 변화하는 부재 내의 혼합모드 I / III 균열의 응력확대 계수해석 - 3차원 유한요소해석 중심으로 - (Combined Mode I / III Stress Intensity Factor Analysis of a Crack in a Variable Thickness Plate)

  • 양원호;최용식;조명래
    • 오토저널
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    • 제15권2호
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    • pp.112-120
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    • 1993
  • Variable thickness plates are commonly encountered in the majority of mechanical/structural components of industrial applications. And, as a result of the unsymmetry of the structure or the load and the anisoptropy of the materials, the cracks in engineering structures are generally subjected to combined stresses. In spite of considerable practical interest, however, a few fracture mechanics study on combined mode crack in a variable thickness plate have carried out. In this respect, combined mode 1/3 stress intensity factors $K_{1}$ and $K_{3}$ at the crack tip for a variable thickness plate were obtained by 3-dimensional finite element analysis. Variable thickness plates containing a central slant crack were chosen. the parameters used in this study were dimensionless crack length .lambda. crack slant angle .alpha, thickness ratio .betha. and width ratio .omega. Stress intensity factors were calculated by crack opening displacement(COD) and crack tearing displacement(CTD) method proposed by Ingraffea and Manu. The effect of thickness ratio .betha. on $K_{1}$ is relatively great in comparison to $K_{3}$.

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Enhancing the ability of strain energy release rate criterion for fracture assessment of orthotropic materials under mixed-mode I/II loading considering the effect of crack tip damage zone

  • Khaji, Zahra;Fakoor, Mahdi
    • Steel and Composite Structures
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    • 제44권6호
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    • pp.817-828
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    • 2022
  • In this study, considering dissipated energy in fracture process zone (FPZ), a novel criterion based on maximum strain energy release rate (SER) for orthotropic materials is presented. General case of in-plane loading for cracks along the fibers is assumed. According to the experimental observations, crack propagation is supposed along the fibers and the reinforcement isotropic solid (RIS) concept is employed as a superior model for orthotropic materials. SER in crack initiation and propagation phases is investigated. Elastic properties of FPZ are extracted as a function of undamaged matrix media and micro-crack density. This criterion meaningfully links between dissipated energy due to toughening mechanisms of FPZ and the macroscopic fracture by defining stress intensity factors of the damaged zone. These coefficients are used in equations of maximum SER criterion. The effect of crack initiation angle and the damaged zone is considered simultaneously in this criterion and mode II stress intensity factor is extracted in terms of stress intensity factors of damage zone and crack initiation angle. This criterion can evaluate the effects of FPZ on the fracture behavior of orthotropic material. Good agreement between extracted fracture limit curves (FLC's) and available experimental data proves the ability of the new proposed criterion.

Mode Decomposition of Three-Dimensional Mixed-Mode Cracks using the Solution for Penny-Shaped Crack

  • Kim, Young-Jong;Cho, Duk-Sang
    • International Journal of Precision Engineering and Manufacturing
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    • 제2권3호
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    • pp.11-18
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    • 2001
  • A simple and convenient method of analysis for obtaining the individual stress intensity factors in a three-dimensional mixed mode crack is proposed. The procedures presented here are based on the path independence of J integral and mutual or two-state conservation integral, which involves two elastic fields. The problem is reduced to the determination of mixed mode stress intensity factor solutions in terms of conservation integrals involving known auxiliary solutions. Some numerical examples are presented to investigate the effectiveness and applicability of the method for a three-dimensional penny-shaped crack problem under mixed mode. This procedure is applicable to a three-dimensional mixed mode curved crack.

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탄성층과 반무한체 사이에 접합된 압전재료의 계면균열에 대한 응력강도계수 (Stress Intensity Factor for an Interface Crack of a Piezoelectric Medium Bonded Between an Elastic Layer and a Half-Space)

  • 정경문;임춘기;범현규
    • 한국정밀공학회지
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    • 제19권5호
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    • pp.81-88
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    • 2002
  • An interface crack of a piezoelectric medium bonded between an elastic layer and a half-space is analyzed using the theory of linear piezoelectricity. Both out-of-plane mechanical and in-plane electrical loads are applied to the piezoelectric laminate. By the use of courier transforms, the mixed boundary value problem is reduced to a singular integral equation which is solved numerically to determine the stress intensity factors. Numerical analyses for various material combinations are performed and the results are discussed.

Finite Element Analysis of Multiple Subsurface Cracks in Half-space Due to Sliding Contact

  • Lee, Sang Yun;Kim, Seock Sam
    • KSTLE International Journal
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    • 제2권1호
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    • pp.12-16
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    • 2001
  • A finite element analysis of crack propagation in a half-space due to sliding contact was performed. The sliding contact was simulated by a rigid asperity moving across the surface of an elastic half-surface containing single and multiple cracks. Single, coplanar, and parallel cracks were modeled to investigate the interaction effects on the crack growth in contact fatigue. The analysis was based on linear elastic fracture mechanics and the stress intensity factor concept. The crack propagation direction was predicted based on the maximum range of the shear and tensile stress intensity factors.

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전위이론에 의한 열충격하의 균열거동에 관한 연구 (Study on the Behavior of a Center Crack under Thermal Impact by the Dislocation Theory)

  • 조종두;안수익
    • 대한기계학회논문집A
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    • 제20권10호
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    • pp.3408-3414
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    • 1996
  • This paper investigated plane strain stress intensity factors caused by thermal impact on a center-crack strip. The crack was aligned perpendicularly to the strip boundary. The problem was analysed by determining the dislocation density function in the singular integral equations formulated by the dislocation theory. Under the abrupt temperature change along the edge, the center crack behaved as a mode I crack due to the symmetric geometry. The value of maximum stress intensity factor monotonically increased until the ratio of dimensionless crack length approached to about 0.3, followed by gradual decrease. As a result, a critical corresponding crack length was determined.