• 대한기계학회논문집
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• 제19권4호
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• pp.941-949
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• 1995

An efficient method based on analytic solutions is applied to solve anti-plane Mode III crack problems. The analytic technique developed earlier by the present authors for Laplace's equation in a simply-connected region is now extended to general Mode III crack problems. Unlike typical numerical methods which require fine meshing near crack tips, the present method divides the cracked bodies, typically non-convex or multiply-connected, into only a few super elements. In each super element, an element stiffness matrix, relating the series coefficients of the traction and displacement, is first formed. Then an assembly algorithm similar to that used in the finite elements, is first formed. Then an assembly algorithm similar to that used in the finite elements, is developed. A big advantage of the present method is that only the boundary conditions are to be satisfied in the solution procedure due to the use of analytic solutions. Several numerical results demonstrate the efficiency and accuracy of the present method.

• Structural Engineering and Mechanics
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• 제27권5호
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• pp.609-623
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• 2007

The problem of a semi-infinite magneto-electro-elastically impermeable mode-III crack in a magneto-electro-elastic material is considered under the action of impact loads. For the case when a pair of concentrated anti-plane shear impacts, electric displacement and magnetic induction impacts are exerted symmetrically on the upper and lower surfaces of the crack, the magneto-electro-elastic field ahead of the crack tip is determined in explicit form. The dynamic intensity factors and dynamic energy density factor are obtained. The method adopted is to reduce the mixed initial-boundary value problem, by using the Laplace and Fourier transforms, into three simultaneous dual integral equations, one of which is converted into an Abel's integral equation and the others into a singular integral equation with Cauchy kernel. Based on the obtained fundamental solutions of point impact loads, the solutions of two kinds of different loading cases are evaluated by integration. For some particular cases, the present results reduce to the previous results.

• 대한기계학회논문집A
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• 제23권6호
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• pp.961-967
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• 1999

A model is constructed to evaluate the mode III stress intensity factor(SIF) for orthotropic three-layered material with a center crack subjected to uniform anti-plane shear loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is numerically analyzed to evaluate the effects of the ratio of shear modulus, strength of each layer and crack length to layer thickness on the stress intensity factor.

• Journal of Mechanical Science and Technology
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• 제17권2호
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• pp.269-279
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• 2003

The anti-plane shear problem of bonded elastic materials containing a crack at an arbitrary angle to the graded interfacial zone is investigated in this paper The interfacial zone is modeled as a nonhomogeneous interlayer of finite thickness with the continuously varying shear modulus between the two dissimilar, homogeneous half-planes. Formulation of the crack problem is based upon the use of the Fourier integral transform method and the coordinate transformations of basic field variables. The resulting Cauchy-type singular integral equation is solved numerically to provide the values of mode 111 stress intensity factors. A comprehensive parametric study is then presented of the influence of crack obliquity on the stress intensity factors for different crack size and locations and for different material combinations, in conjunction with the material nonhomogeneity within the graded interfacial zone.

• 한국정밀공학회지
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• 제17권9호
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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.

• Structural Engineering and Mechanics
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• 제20권2호
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• pp.225-239
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• 2005

Applications of the Trefftz boundary element method (BEM) to anti-plane electroelastic problems are presented in this paper. Both direct and indirect methods with domain decomposition are discussed in details. Each crack is treated as semi-infinite thin slit defined in a subregion, for which a particular solution of the anti-plane problem, satisfying exactly the crack-face condition, is derived. The stress intensity factors defined at each crack tip can be directly computed from the coefficients of the particular solution. The performance of the proposed formulation is assessed by two examples and comparison is made with results obtained by other approaches. The Trefftz boundary element approach is demonstrated to be suitable for the analysis of the anti-plane problem of piezoelectric materials.

• Journal of Mechanical Science and Technology
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• 제18권8호
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• pp.1375-1387
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• 2004

A solution is given for the elastodynamic problem of a crack perpendicular to the graded interfacial zone in bonded materials under the action of anti plane shear impact. The interfacial zone is modeled as a nonhomogeneous interlayer with the power-law variations of its shear modulus and mass density between the two dissimilar, homogeneous half-planes. Laplace and Fourier integral transforms are employed to reduce the transient problem to the solution of a Cauchy-type singular integral equation in the Laplace transform domain. Via the numerical inversion of the Laplace transforms, the values of the dynamic stress intensity factors are obtained as a function of time. As a result, the influences of material and geometric parameters of the bonded media on the overshoot characteristics of the dynamic stress intensities are discussed. A comparison is also made with the corresponding elastostatic solutions, addressing the inertia effect on the dynamic load transfer to the crack tips for various combinations of the physical properties.

• 대한기계학회논문집
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• 제16권5호
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• pp.838-848
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• 1992

본 연구에서는 김성호등의 형상모델인 Fig.1(b)에서 전단하중이 작용하는 경 우에 대한, 복합재료의 탄성층 내부(레진층)에 존재하는 중앙균열의 응력확대계수 산 출을 위하여 균열부위를 제외하고는 섬유층과 레진층이 완전히 접착되었다고 가정한 모델을 다음과 같이 설정 하였다. 접착레진을 주로하는 탄성층(resin rich layer)을 중심으로 상하 각1개의 섬유층(fiber rich layer)과 균질한 특성을 갖는 복합재료의 층으로 단순화하였으며, 복합재료는 레진층이나 섬유층에 비하여 무한히 두꺼우므로 반무한체로 이상화 하였다. 선형탄 이론에 의한 혼합경계조건문제(mixed boundary value problem)로 부터 제2종 Fredholm 적분방정식(fredholm integral equation of a second kind)을 유도하였으며 수치해석적인 방법에 의하여 응력확대계수를 구하였다. 또한, 복합재료의 재료물성 및 균열길이, 섬유두께등이 기하학적 변수에 대하여 응력 확대계수를 산출하였다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 추계학술대회논문집A
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• pp.304-310
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• 2001

Cracks at mechanical fastener holes usually nucleate as elliptical comer cracks at the faying surface of the mechanical joints and grow as elliptical arc through cracks after penetrating the opposite surface. In this study mode I, II and III stress intensity factors at two surface points of elliptical arc through cracks at mechanical fastener holes are analyzed by applying weight function method. The weight function method for two dimensional mixed-mode problem is extended to three dimensional one and it is verified.

• 대한치과보철학회지
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• 제47권4호
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• pp.424-434
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• 2009

연구목적: 임플란트는 수직교합 하중에는 비교적 잘 견디나 측방하중에 대해서는 약한 역학적 성질을 갖고 있으므로 임플란트의 재료 특성과 기하학적 형태에 따른 응력 분석 연구의 필요성이 제기되고 있다. 연구재료 및 방법: 외부육각구조를 갖는 28개의 임플란트를 7개씩 4군으로 나누어 그 제품에 적합한 UCLA gold abutment를 이용해, 제3형 금합금으로 보철 물을 제작하였고, A군 (3i, FULL $OSSEOTITE^{(R)}$-Implant), B군 (Nobelbiocare, Branemark $System^{(R)}$Mk III Groovy RP), C군 (Neobiotec, $SinusQuick^{(TM)}$ EB), D군 (Osstem, US-II)으로 분류하였다. 고정체와 지대주나사, 지대주를 연결한 후 수직적으로 절단하여 연마한 후 미세경도계를 이용하여 10군데에서 경도측정을 실시하였고, 동적하중 피로시험기를 이용하여 60-600 N범위로 파절시까지 동적 하중을 가하였다. 주사전자현미경을 이용하여 지대주나사 및 고정체의 파절 양상과 파절 위치 등을 관찰하였고, 유한요소분석을 통해 고정체와 지대주 나사에 나타나는 응력 분포와 파절면을 비교 분석하였다. 결과: 1.고정체 경도는 A, B, C, D군에서 각각 245.3, 289.7, 281.3, 300.4 Hv로 D군이 가장 높았고, A군이 가장 낮았다. 지대주 나사의 경도는 A, B, C, D군에서 각각 340.00, 317.62, 306.5, 306.2 Hv로 A군이 가장 높고, D군이 가장 낮았다. 2. 모든 실험군에서 임플란트 고정체의 파절은 응력이 집중되는 고정체 3-4번째 나사산 홈 (valley) 부위 또는 내면의 사공간부와 일치하는 부위에서 발생되었고, 피로수명은 A, B, C, D군에서 각각 31585, 47311, 30141, 105371로 D군이 가장 높았으며, A, B, C군과는 유의한 차이가 있었다(P<.05). 3. 파절양상은 B군과D군에서는 고정체와 나사 모두에서 수직 (longitudinal)파절과 수평 (transverse)파절이 동시에 일어나는 복합 (complex mode) 파절이 관찰 되었고, A와 C군에서는 고정체에서 수평 (transverse mode) 파절만이 관찰되었다. 4. 유한요소분석 결과 인장응력이 가장 높은 고정체 표면부에서 피로 균열이 시발되어 압축응력이 가장 높은 반대편 부위로 피로균열이 전파되었으며, 최대 유효 응력값은 C군이 가장 높았고, B군에서 가장 낮았다. 결론: 피질골 높이와 일치하는 임플란트 고정체 부위에서 최대 인장 주응력이 발생되며, 고정체 사공간부 (dead space)가 최대 인장 주응력이 작용하는 지그 표면과 일치할 때 피로파절이 발생되었다. 따라서 악골에 식립된 임플란트의 신뢰성을 향상시키고 수명을 증대시키기 위해서는 가능한 임플란트 주위의 골소실이 일어나지 않도록 해야 할 것이나 골흡수가 일어나 사공간부 수준까지 진행된다면 임플란트의 파절 빈도가 증가될 수 있으므로 이에 대한 대처가 필요할 것으로 사료된다.