• 제목/요약/키워드: 응력 확대계수

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복합재료 팻칭에 의한 중앙경사균열에서 2단계 확장 가상균열닫힘법을 사용한 혼합모우드해석 (Mixed Mode Analysis using Two-step Extension Based VCCT in an Inclined Center Crack Repaired by Composite Patching)

  • 안재석;우광성
    • 대한토목학회논문집
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    • 제32권1A호
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    • pp.11-18
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    • 2012
  • 이 논문에서는 유리-에폭시 섬유 보강 복합재료판에 $K_I$$K_{II}$ 에 의한 혼합모우드 상태의 균열된 알루미늄판의 응력확대계수의 수치해석 산정을 다루고 있다. 응력확대계수 산정을 위한 가상균열닫힘법과 2단계 확장법이 고려된다. 에너지 방출률과 응력확대계수의 항으로 표현되는 파괴역학 매개변수 계산을 위하여, p-수렴 부분 층별모델이 채택된다. 고려되는 p-수렴 방식은 저매개변수 요소의 개념에 기초한다. 1개 층에 대해 가정된 변위장, 변위-변형률 관계, 그리고 3차원 구성방정식은 2차원과 1차원 고차 형상함수의 조합으로 정의된다. 고려되는 요소는 변위장의 보간과 수치적분을 수행하기 위해 로바토 형상함수와 가우스-로바토 적분법이 사용된다. 언급된 모델과 기법들을 사용하여, 경사각도의 변화에 따른 적층판 형상의 효과와 접착제의 강도가 팻치보강 시스템에 미치는 영향이 조사된다. 중립축 변화에 따른 팻치보강 적층판의 면외 휨 효과도 분석된다. 고려되는 모델의 정확성과 단순성 등에 관해서 응력확대계수, 응력분포, 자유도 수, 에너지 방출률 등의 항목을 가지고서 평가된다.

시간적분형 운동방정식을 바탕으로 한 동적 응력확대계수의 계산 (Numerical Computation of Dynamic Stress Intensity Factors Based on the Equations of Motion in Convolution Integral)

  • 심우진;이성희
    • 대한기계학회논문집A
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    • 제26권5호
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    • pp.904-913
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    • 2002
  • In this paper, the dynamic stress intensity factors of fracture mechanics are numerically computed in time domain using the FEM. For which the finite element formulations are derived applying the Galerkin method to the equations of motion in convolution integral as has been presented in the previous paper. To assure the strain fields of r$^{-1}$ 2/ singularity near the crack tip, the triangular quarter-point singular elements are imbedded in the finite element mesh discretized by the isoparametric quadratic quadrilateral elements. Two-dimensional problems of the elastodynamic fracture mechanics under the impact load are solved and compared with the existing numerical and analytical solutions, being shown that numerical results of good accuracy are obtained by the presented method.

충격하중을 받는 점탄성 균열의 응력확대계수 계산 (Numerical Computation of the Stress Itensity Factor of A Cracked Viscoelastic Body Under the Impact Load)

  • 이성희;심우진
    • 대한기계학회논문집A
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    • 제28권10호
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    • pp.1583-1589
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    • 2004
  • In this paper, A new finite element method for the time domain analysis of the dynamic stress intensity factor of two-dimensional viscoelastic body with a stationary central crack under the transient dynamic load is presented, which is based on the intergrodifferential equations of motion in the isotropic linear viscoelasticity and the Galerkin's method. The vlscoelastic material is assumed to be elastic in dilatation and behaves like a standard linear solid in shear. As a numerical example, the Chen's problem in viscoelastodynamic version is solved for the parametric study about the effect of viscosity and relaxation time on the dynamic stress intensity factor.

분자수준 시뮬레이션을 이용한 응력확대계수 및 전위이동에 관한 연구 (A Study on Stress Intensity Factors and Dislocation Emission via Molecular Dynamics)

  • 최덕기;김지운
    • 대한기계학회논문집A
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    • 제24권4호
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    • pp.830-838
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    • 2000
  • The paper addresses an application of molecular dynamics technique for fracture mechanics. Molecular dynamics simulation is an atomistic approach, while typical numerical methods such as finite element methods are macroscopic. Using the potential functions, which express the energy of a molecular system, a virtual specimen with molecules is set up and the trajectory of every molecule can be calculated by Newton's equation of motion. Several three-dimensional models with various types of cracks are considered. The stress intensity factors, the sizes of plastic zone as well as the dislocation emission are sought to be compared with the analytical solutions, which result in good agreement.

유한요소법에 의한 플라스틱 파이프의 저속균열성장 시험편 균열선단 응력확대계수 계산 (Computation of Crack Tip Stress Intensity Factor of A Slow-Crack-Growth-Test Specimen for Plastic Pipe Using Finite-Element Method)

  • 박영주;서영성;최선웅;표수호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.19-24
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    • 2004
  • The mode I stress intensity factor ($K_I$) of a newly proposed slow-crack-growth-test (Notched Ring Test, NRT) specimen was found using finite-element method. The theoretical $K_I$ value of NRT was not available in any references and could not be solved analytically. At first, in order to verify the accuracy of the finite-element approach, published $K_I$ values of several cracks were calculated and compared with finite-element results. The results were in excellent agreement within inherent errors of theoretical $K_I$. Finally the $K_I$ of NRT was found using 2- and 3-dimensional finite-element methods and expressed as a function of the applied load.

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SPATE에 의한 등방성체의 응력확대계수 측정 (Measurement of Stress Intensity Factor of Isotropic Material Using SPATE)

  • 황재석;서재국;이효재;남정환;;최영철
    • 대한기계학회논문집A
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    • 제21권3호
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    • pp.393-404
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    • 1997
  • SPATE(Stress Pattern Analysis by Thermal Emission) can be effectively used to analyze the stress distributions of isotropic structure under the repeated load by non-contact. In this research, the measuring method and the measuring concept of stress intensity factor of isotropic material by SPATE are suggested. The validity of the method and the concept was certified through SPATE experiment.

2차원 선형 탄성 이방성 재료에서 $J_k$-적분을 이용한 응력확대계수 계산 (Calculation of Stress Intensity Factor in 2-D Using $J_k$-Integral for a Rectilinear Elastic Anisotropic Body)

  • 안득만;최창연
    • 한국정밀공학회지
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    • 제18권7호
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    • pp.134-142
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    • 2001
  • The integrals $J_k$(k=1,2) in the rectilinear anisotropis body in 2-D were determined using Lekhnitskii formalism. The relationship between $J_k$ and stress intensity factors are implified by the important equation between elastic compliance. The numerical evaluation of stress intensity factor for the single edge crack in mixed mode is determined by superposing known exact solutions.

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X방향의 선형함수구배인 재료에서 전파하는 균열의 동적응력확대계수 $K_{IIID}$ (Dynamic Stress Intensity Factor $K_{IIID}$ for a Propagating Crack in Liner Functionally Gradient Materials Along X Direction)

  • 이광호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.3-8
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    • 2001
  • Dynamic stress intensity factors (DSIFs) are obtained when a crack propagates with constant velocity in rectangular functionally gradient materials (FGMs) under dynamic mode III load. To obtain the dynamic stress intensity factors, it is used the general stress and displacement fields of FGMs for propagating crack and the boundary collocation method (BCM). The stress intensity factors and energy release rates are the greatest in the increasing properties $(\xi>0)$, next constant properties $(\x=0)$ and decreasing properties $(\xi<0)$ under constant crack tip properties and crack tip speed.

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접착층내 결함이 계면균열의 응력확대계수에 미치는 영향 평가 (Effect Evaluation of Hole Defects in Adhesive on SIF of Interface Crack)

  • 현철승;허성필;양원호;류명해
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.299-303
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    • 2001
  • Adherend-adhesive interface failure will occur on a macroscale when surface preparation or material quality are poor. It is well known that the stress singularity occurs at the edges of interface between the adhernds and the adhesive, and that crack will initiate from these positions. Also if bubbles are created and remained in the adhesive layer during the bonding process, the stress concentrates around these hole defects. In this paper, the effects of the hole defects on the SIF of interface crack were examined. From results, SIF increased with the hole defects near the interface crack and increased with an decreae in the upper adherend thickness, an increase in the center adhesive thickness.

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혼합모드 변동하중하에서 레일강의 피로균열 진전거동 (Fatigue Crack Growth Behavior for Rail Steel under Mixed Mode Variable Amplitude Loading)

  • 손경주;서영범;김철수;김정규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.261-266
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    • 2003
  • The growth behavior of the transverse crack, which was one of the most dangerous damages of rail defects, was investigated under mode I and mixed mode loading in rail steel. In the case of variable amplitude loading, the fatigue crack growth behavior was discussed using characteristic stress intensity factor ranges ${\Delta}_{rms}$. In addition, characteristic comparative stress intensity factor ranges ${\Delta}_{V,rms}$ was proposed to evaluate the quantitative effects of the variable amplitude under mixed mode loading. As a result, crack growth rate under variable amplitude loading was faster than that under constant amplitude loading.

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