• Title/Summary/Keyword: Stress Intensity

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Analyses of Stress Intensity Factors and Evaluation of Fracture Toughness in Adhesively Bonded DCB Joints (DCB 접착이음에 대한 응력세기계수의 해석 및 파괴인성의 평가)

  • Jeong, Nam-Yong;Lee, Myeong-Dae;Gang, Sam-Geun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.6 s.177
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    • pp.1547-1556
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    • 2000
  • In this paper, an evaluation method of fracture toughness to apply interfacial fracture mechanics was investigated in adhesively bonded double-cantilever beam (DCB) joints. Four types of adhesively bonded DCB joints with an interface crack were prepared for analyses of the stress intensity factors using boundary element method(BEM) and the fracture toughness test. From the results of BEM analysis and fracture toughness experiments, it is found that the stress intensity factor, K1 is a parameter driving the fracture of adhesively bonded joints. Also, the evaluation method of fracture toughness by separated stress intensity factors of mixed mode cracks was proposed and the influences of mode components for its fracture toughness are investigated in adhesively bonded DCB joints.

Computation of 2-D mixed-mode stress intensity factors by Petrov-Galerkin natural element method

  • Cho, Jin-Rae
    • Structural Engineering and Mechanics
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    • v.56 no.4
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    • pp.589-603
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    • 2015
  • The mixed-mode stress intensity factors of 2-D angled cracks are evaluated by Petrov-Galerkin natural element (PG-NE) method in which Voronoi polygon-based Laplace interpolation functions and CS-FE basis functions are used for the trial and test functions respectively. The interaction integral is implemented in a frame of PG-NE method in which the weighting function defined over a crack-tip integral domain is interpolated by Laplace interpolation functions. Two Cartesian coordinate systems are employed and the displacement, strains and stresses which are solved in the grid-oriented coordinate system are transformed to the other coordinate system aligned to the angled crack. The present method is validated through the numerical experiments with the angled edge and center cracks, and the numerical accuracy is examined with respect to the grid density, crack length and angle. Also, the stress intensity factors obtained by the present method are compared with other numerical methods and the exact solution. It is observed from the numerical results that the present method successfully and accurately evaluates the mixed-mode stress intensity factors of 2-D angled cracks for various crack lengths and crack angles.

A Study for Mutual Interference between Symmetric Circular Inclusion and Crack in Finite Width Plate by Boundary Element Method (경계요소법에 의한 유한폭 판재내의 대칭 원형함유물과 균열의 상호간섭에 대한 연구)

  • Park, S.O.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.8
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    • pp.137-145
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    • 1997
  • A two-dimensional program for the analysis of bimaterial inclusion has been developed using the bound- ary element method. In order to study the effects of circular inclusion on the stress field of the crack tip, numerical analysis was performed for the straight crack of finite length around the symmetric circular inclusion whose modulus of elasticity was different from that of the matrix material. In the case of inclusion whose stiffness was smaller than that of the matrix material, the stress intensity factor was found to increase as the crack enamated. The stress intensity factor was uninfluenced from the radial change in inclusion and remained constant for the stiffness equivalent to the matrix materials, where as it decreased for the inclusion with larger stiffness. For the vareation in the distance of the inclusion, a small increase in the stress intensity factor was observed for the case with small or equal stiffness compared with the matrix materials. The inclusion with larger stiffness showed a gradual decrease in the strss intensity factor as the crack emanated.

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A Simplified Estimation of Stress Intensity Factor on the Hertzian Contact

  • Jin, Songbo;Kim, Seock-Sam
    • KSTLE International Journal
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    • v.1 no.1
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    • pp.8-11
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    • 2000
  • A surface crack in a semi-infinite body under Hertzian contact was considered. The simplified method used to estimate stress intensity factor K for specimen was extended to the model which is chosen in this paper. Very satisfactory results are obtained comparing with those known and it is proved that the method is more convenient than other methods. The results of the analysis show that due to the presence of $K_I$ for unlubricated condition, mode I fracture is active in the field below the surface and the maximum $K_{I}$ is obtained when the trailing edge of Hertzian contact reaches a position over the crack. The magnitudes of stress intensity factors $K_I$ and $K_Il$ increase with increasing friction forces. For a surface crack perpendicular to the contact surface, the stress intensity factor $K_I$ reaches its maximum value at a depth very close to the surface. Driving forve fer crack initiation and propagation is $K_I$ for unlubricated condition and $K_Il$ for both fluid and boundary lubricated condition.n.

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Finite element procedures for the numerical simulation of fatigue crack propagation under mixed mode loading

  • Alshoaibi, Abdulnaser M.
    • Structural Engineering and Mechanics
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    • v.35 no.3
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    • pp.283-299
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    • 2010
  • This paper addresses the numerical simulation of fatigue crack growth in arbitrary 2D geometries under constant amplitude loading by the using a new finite element software. The purpose of this software is on the determination of 2D crack paths and surfaces as well as on the evaluation of components Lifetimes as a part of the damage tolerant assessment. Throughout the simulation of fatigue crack propagation an automatic adaptive mesh is carried out in the vicinity of the crack front nodes and in the elements which represent the higher stresses distribution. The fatigue crack direction and the corresponding stress-intensity factors are estimated at each small crack increment by employing the displacement extrapolation technique under facilitation of singular crack tip elements. The propagation is modeled by successive linear extensions, which are determined by the stress intensity factors under linear elastic fracture mechanics (LEFM) assumption. The stress intensity factors range history must be recorded along the small crack increments. Upon completion of the stress intensity factors range history recording, fatigue crack propagation life of the examined specimen is predicted. A consistent transfer algorithm and a crack relaxation method are proposed and implemented for this purpose. Verification of the predicted fatigue life is validated with relevant experimental data and numerical results obtained by other researchers. The comparisons show that the program is capable of demonstrating the fatigue life prediction results as well as the fatigue crack path satisfactorily.

Anaysis of the Interfacial Stress Intensity Factors and Fatigue Crack Growth Behaviour for the Edge Interface Crack in the Dissimilar Materials (이종재료 접합재의 편측접합계면균열의 응력확대계수 해석 및 피로균열성장 해석)

  • 이갑래;최용식
    • Journal of the Korean Society of Safety
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    • v.6 no.2
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    • pp.5-13
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    • 1991
  • In this paper, the interfacial stress intensity factors( $K_{i}$$K_1$+i $K_2$) for the edge interface crack in the dissimilar materials(isotropic-isotropic materials, isotropic-composite materials) were analysed by BEM(Boundary Element Method). The fatigue crack growth behaviour was investigated by load constant fatigue test. From the experimental results, the relationship between da/dN and interfacial stress intensity facto, ( $K_{i}$ or $K_1$) can be expressed by Paris'law for homogeneous materials.s.s.

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Evaluation of Stress Intensity Factors for an Electrostrictive Crack with an Electric Yielding Zone (전기적 항복영역을 갖는 전왜균열에 대한 응력강도계수 계산)

  • 범현규;정은도
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.469-472
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    • 2000
  • a crack with electrically impermeable surfaces in an electrostrictive material subjected to uniform electric loading is analysed. A strip yield zone model is employed to investigate the effect of electric yielding on stress intensity factor. complete forms of electric fields and elastic fields for the crack are derived by using complex function theory. /the stress intensity factors are obtained based on the strip yield zone model.

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Determination of Thermal Shock Stress Intensity Factor for Elliptical Crack by Modified Vainshtok Weight Function Method (수정 Vainshtok 가중함수법에 의한 타원균열의 열충격 응력세기계수의 결정)

  • 이강용;김종성
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.463-474
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    • 1995
  • Modified Vainshtok weight function method is developed. The thermal shock stress intensity factors for elliptical surface cracks existed in the thin and thick walled cylinders are determined. The present results are compared with previous solutions and shown to be good agreement with them.

The intensity of a singular near-tip field around the vertex of a three-dimensional notch or wedge (3 차원 놋치 및 쐐기의 응력 강도계수)

  • Lee, Yong-Woo;Im, Se-Young
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.157-162
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    • 2003
  • Singular stress fields around three-dimensional wedges are examined, and the near-tip intensity is calculated via the two-state M-integral with the aid of the domain integral representation. A numerical example demonstrates the effectiveness and accuracy of the present scheme for computing the stress intensities of singular stresses near the generic three-dimensional wedges.

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비틀림하의 복합원통에 있는 원주 표면균열에 대한 응력 확대 계수

  • Kim, Yeong-Jong
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.9
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    • pp.151-157
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    • 2000
  • Stress intensity factors for the circumferential surface crack of a long composite cylinder under torsion is investigated. The problem is formulated as a singular integral equation of the first kind with a Cauchy type kernel using the integral transform technique. The mode III stress intensity factors at the crack tips are presented when (a) the inner crack tip is away from the interface and (b) the inner crack tip is at the interface.

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