• 제목/요약/키워드: Dynamic energy release rate

검색결과 41건 처리시간 0.021초

동적(動的)에너지 방출율(放出率)의 수치해석(數値解析)을 위한 체적적분식(體積積分式) (Volume Integral Expressions for Numerical Computation of the Dynamic Energy Release Rate)

  • 고현무
    • 대한토목학회논문집
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    • 제9권3호
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    • pp.65-73
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    • 1989
  • 응력파의 영향을 받는 균열의 동적응력확대계수를 구하기 위해 동적에너지방출율에 관한 명시적인 표현식을 유도하고, 이를 이용하여 유한요소법에 적합한 수치계산방법을 제시한다. 새로운 운동학적 기술방법과 균열의 가상증분을 이용하여 균열선단의 유한한 영역에서 정의되는 체적적분식을 연속체 역학적인 정식화를 통하여 구하고, 이의 수치적분 유한영역의 모델링에 사용된 등매개변수특이요소 내에서 특이성을 만족하는 적합조건하에서 수행된다. 본 방법은 경로적분식을 이용하는 기존 방법들에 비해 보다 정확하고 안정된 결과를 제공하고 동시에 응력파의 영향을 적시에 조사할 수 있으며, 본 방법에 의해 개발된 유한요소모듈은 기존의 동적응력 해석프로그램에 용이하게 연결 설치할 수 있음을 보인다.

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직교이방체에서 동적성장하는 균열에 대한 에너지해방률 (Energy Release Rates for a Dynamically Growing Crack in Orthotropic Materials)

  • 주석재
    • 대한기계학회논문집
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    • 제19권7호
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    • pp.1590-1596
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    • 1995
  • The energy release rates for a dynamically growing crack in orthotropic materials are expressed explicitly in terms of dynamic stress intensity factors. The stress functions suitable for the problem are found and the evaluation of the J-integral for the theoretical singular crack tip fields yields energy release rates. The present results are simpler than the existing ones and can be reduced to the well known solutions in special cases. Examples of extracting stress intensity factors from the finite element solution using the present results are given for the dynamically growing crack problem of orthotropic materials.

Analysis of Propagating Crack Along Interface of Isotropic-Orthotropic Bimaterial by Photoelastic Experiment

  • 이광호;;;;황재석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.102-107
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    • 2001
  • Interfacial cracks between an isotropic and orthotropic material, subjected to static far field tensile loading are analyzed using the technique of photoelasticity. The fracture parameters are extracted from the full-field isochromatic data and the same are compared with that obtained using boundary collocation method. Dynamic Photoelasticity combined with high-speed digital photography is employed for capturing the isochromatics in the case of propagating interfacial cracks. The normalized stress intensity factors for static crack is greater when $\alpha=90^{\circ}C$ (fibers perpendicular to the interface) than when $\alpha=0^{\circ}C$ (fiber parallel to the interface) and those when $\alpha=90^{\circ}C$ are similar to ones of isotropic material. The dynamic stress intensity factors for interfacial propagating crack are greater when $\alpha=0^{\circ}C$ than $\alpha=90^{\circ}C$. The relationship between complex dynamic stress intensity factor $|K_D|$ and crack speed C is similar to that for isotropic homogeneous materials, the rate of increase of energy release rate G or $|K_D|$ with crack speed is not as drastic as that reported for homogeneous materials.

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동적 하중을 받는 재료에서의 파단에 관한 연구 (Study on Fracture at Material under Dynamic Load)

  • 조재웅;한문식
    • 한국기계가공학회지
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    • 제7권2호
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    • pp.16-22
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    • 2008
  • This study was analyzed dynamically by finite element method about the results of experiments which materials were applied by dynamic load. And they were compared with each other as the simulation data applied onto dynamic impact velocities of 6.4, 16.7 and 18.47m/s. The crack energy release rate, von-Mises stress and the displacement according to the load applied by block were calculated numerically by computer. As the numerical simulation data of specimen analyzed in this study approached the experimental data, the inspection of this specimen model suggested in this paper could be reasonable for the numerical simulation.

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면외변형하의 이방성 띠판에 대한 동적계면균열 (Dynamic Interfacial Crack in Bonded Anisotropic Strip Under Out-of-Plane Deformation)

  • 박재완;최성렬
    • 대한기계학회논문집A
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    • 제25권6호
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    • pp.949-958
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    • 2001
  • A semi-infinite interfacial crack propagated with constant velocity in two bonded anisotropic strips under out-of-plane clamped displacements is analyzed. Using Fourier integral transform the problem is formulated and the Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are obtained, where the results get more general expressions applicable not only to isotropic/orthotropic materials but also to the extent of the anisotropic material having one plane of elastic symmetry for the interfacial crack. The dynamic stress intensity factor is obtained as a closed form, which is decreased as the velocity of crack propagation increases. The critical velocity where the stress intensity factor comes to zero is obtained, which agrees with the lower value between the critical values of parallel crack merged in the material 1 and 2 adjacent to the interface. Using the near tip fields of stresses and displacements, the dynamic energy release rate is also obtained as a form of the stress intensiy factor.

탄성체에 접합된 압전 스트립에서의 균열 전파 거동 (Steady State Crack Propagation Behavior in a Piezoelectric Strip Bonded to Elastic Materials)

  • 권순만;최효승;이강용
    • 대한기계학회논문집A
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    • 제26권2호
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    • pp.283-290
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    • 2002
  • In this paper, we consider the dynamic electromechanical behavior of an eccentric Yoffe permeable crack in a piezoelectric ceramic strip sandwiched between two elastic orthotropic materials under the combined anti-plane mechanical shear and in-plane electrical loadings. Fourier transforms are used to reduce the problem to the solution of two pairs of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. The initial crack propagation orientation for PZT-5H piezoceramics is predicted by maximum energy release rate criterion.

탄성체에 접합된 압전 스트립에서의 균열 전파 거동 (Crack Propagation Behavior in a Piezoelectric Strip Bonded to Elastic Materials)

  • 권순만;최효승;이강용
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.304-309
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    • 2001
  • In this paper, we consider the dynamic electromechanical behavior of an eccentric Yoffe permeable crack in a piezoelectric ceramic strip sandwiched between two elastic materials under the combined anti-plane mechanical shear and in-plane electrical loadings. Fourier transforms are used to reduce the problem to the solution of two pairs of dual integral equations, which are then expressed to a Fredholm integral equation of the second kind. The initial crack propagation orientation for PZT-5H piezoceramics is predicted by maximum energy release rate criterion.

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저속 충격시 PVC/MBS재료의 파괴특성에 관한 연구 (A Study on Fracture Parameters for PVC/MBS Composites under Low Velocity Impact)

  • 최영식;박명균;박세만
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.837-840
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    • 2002
  • An analysis method for rubber toughened PVC is suggested to evaluate critical dynamic strain energy release rates($G_c$) from the Charpy impact energy measurements. An instrumented Charpy impact tester was used to extract ancillary information concerning fracture parameters in addition to total fracture energies and maximum critical loads. The dynamic stress intensity factor $K_{Id}$ was computed for varying amounts of rubber contents from the obtained maximum critical loads and also toughening effects were investigated as well. The fracture surfaces produced under low velocity impact fur PVC/MBS composites were investigated by SEM. The results show that MBS rubber is very effective reinforcement material for toughening PVC.C.

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두 이방성 띠판에 내재된 면외변형하의 등속평행 균열 (Parallel Crack with Constant Velocity in Two Bonded Anisotropic Strip Under Anti-Plane Deformation)

  • 박재완;김남훈;최성렬
    • 대한기계학회논문집A
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    • 제24권2호
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    • pp.496-505
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    • 2000
  • A semi-infinite parallel crack propagated with constant velocity in two bonded anisotropic strip under anti-plane clamped displacement is analyzed. Using Fourier integral transform a Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are determined, where the results give the more general expression applicable to the extent of the anisotropic material having one plane of elastic symmetry for the parallel crack. The dynamic stress intensity factor and energy release rate are also obtained as a closed form, which are the results applicable to the problem both of dynamic and static crack under the same geometry as this study. The stress intensity factor approaches zero at the critical crack velocity which is less than the shear wave velocity, but in typical case of isotropic or orthotropic material agrees with the velocity of shear wave. Also a circular shear stress around crack tip is considered, from which the stress is shown to be approximately symmetric about the horizontal axis. Referring to the maximum stress criteria, it could be shown that a brenched crack is formed by crack growth as crack velocity increases.

MLS 차분법을 이용한 동적균열전파 해석 (Analysis of Dynamic Crack Propagation using MLS Difference Method)

  • 윤영철;김경환;이상호
    • 한국전산구조공학회논문집
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    • 제27권1호
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    • pp.17-26
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    • 2014
  • 본 논문은 MLS(Moving Least Squares) 차분법을 바탕으로 동적균열전파 해석을 수행하기 위한 알고리즘을 제시한다. MLS 차분법은 절점만으로 이루어진 수치모델을 사용하며, 이동최소제곱법을 이용하여 전개한 Taylor 다항식을 기초로 미분근사식을 유도하기 때문에, 요소망의 제약에서 완벽하게 벗어난 절점해석이 가능하다. 시간항을 포함하는 동적 평형방정식은 Newmark 방법으로 시간적분 하였다. 동적하중을 받는 균열이 전파할 때, 매 시간단계마다 절점모델을 재구성하지 않고 균열선단 주변에서 국부적인 수정을 통해 해석이 가능하다. 동적균열을 묘사하기 위해 가시한계법(visibility criterion)을 적용하였고, 동적 에너지해방률을 산정하여 균열의 진전유무와 그에 상응하는 진전방향을 결정하였다. 모드 I 상태와 혼합모드 상태에서 균열이 진전하는 현상을 모사하였고, 이론해와 Element-Free Galerkin법으로 계산한 결과와의 비교를 통해 개발된 알고리즘의 정확성과 안정성을 검증하였다.