• 제목/요약/키워드: Brittle crack

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The investigation of rock cutting simulation based on discrete element method

  • Zhu, Xiaohua;Liu, Weiji;Lv, Yanxin
    • Geomechanics and Engineering
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    • 제13권6호
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    • pp.977-995
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    • 2017
  • It is well accepted that rock failure mechanism influence the cutting efficiency and determination of optimum cutting parameters. In this paper, an attempt was made to research the factors that affect the failure mechanism based on discrete element method (DEM). The influences of cutting depth, hydrostatic pressure, cutting velocity, back rake angle and joint set on failure mechanism in rock-cutting are researched by PFC2D. The results show that: the ductile failure occurs at shallow cutting depths, the brittle failure occurs as the depth of cut increases beyond a threshold value. The mean cutting forces have a linear related to the cutting depth if the cutting action is dominated by the ductile mode, however, the mean cutting forces are deviate from the linear relationship while the cutting action is dominated by the brittle mode. The failure mechanism changes from brittle mode with larger chips under atmospheric conditions, to ductile mode with crushed chips under hydrostatic conditions. As the cutting velocity increases, a grow number of micro-cracks are initiated around the cutter and the volume of the chipped fragmentation is decreasing correspondingly. The crack initiates and propagates parallel to the free surface with a smaller rake angle, but with the rake angle increases, the direction of crack initiation and propagation is changed to towards the intact rock. The existence of joint set have significant influence on crack initiation and propagation, it makes the crack prone to propagate along the joint.

후물재 용접부의 용착금속과 열영향부의 파괴 인성 비교 연구 (Fracture Toughness Comparison of Weld Metal and Heat-Affected Zone of Brittle Crack Arrest Steel Welding Joint)

  • 최경신;공석환;설상석;정원지
    • 한국기계가공학회지
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    • 제20권7호
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    • pp.8-14
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    • 2021
  • Even welds that have passed non-destructive testing in the case of brittle crack arrest steel materials will actually have very fine weld defects. Based on studies showing that these defects adversely affect the structure if subjected to a certain period of load, the following conclusions were obtained by conducting CTOD tests on welding joints of high-strength BCA materials, structures comprising the upper decks of a large container vessel. First of all, the fatigue pre-cracking in the weld metal and heat affected areas was tested and the behavior was identified. Both parts of the welding joint are allowable range for the class regulations. In addition, CTOD results showed that the CTOD value in the heat affected area was more than 0.5 times higher than in the weld metal area.

충격하중을 받는 취성재료의 동적응력확대계수 결정 (Detemination of Dynamic Stress Intensity Factor of Brittle Materials under Impact Loading)

  • 이억섭;이찬석
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1993년도 추계학술대회 논문집
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    • pp.381-386
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    • 1993
  • This paper describes the dynamic fracture behavior of brittle materials under impact loading by using INSAMCR program with instrumented charpy test machine. To calculate the Dynamic Stress Intensity Factor The finite element analysis methods program, INSAMCR, was used. Dynamic fracture characteristic was researched to verify a relationship between Dynamic Stress Intensity Factor and crack tip propagation velocity in WC-6%Co. The relationship between Dynamic Stress Intensity Factor and crack tip velocity revealed typical .GAMMA. shape. INSAMCR was run to verify experimental results in WC-6%Co and shows a good coincidence.

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탄성표면파의 반사계수를 이용한 파괴응력의 해석 (The analysis of fracture stress using reflection coefficient of surface acoustic wave)

  • 신진섭;김장권;전계석
    • 한국음향학회지
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    • 제10권3호
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    • pp.13-18
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    • 1991
  • 본 연구에서는 취약한 고체의 표면에 존재하는 crack에 탄성표면파를 입사 시켰을 때 발생하는 반사계수를 측정하여 파괴응력을 해석하는 방법을 연구 분석하였다. Crack이 존재하는 취약한 고체에서의 파괴응력은 임계응력확대계수와 정규화된 최대응력확대계수의 함수로써 나타나며, 이 때 정규화된 최대응력확대계수는 탄성표면파의 반사계수를 측정하여 구할 수 있었다. 실험을 위하여 Pyrex glass원판 중앙에 깊이가 0.5mm~0.9mm인 crack을 제작하였고, SAW wedge transducer를 피치캐치(pitch-catch) 모드로 구성하여 반사계수를 측정하고 파괴응력값을 산출하였으며 UTM(Universal Testing Machine)으로 측정한 값과 비교 분석하였다.

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A quasistatic crack propagation model allowing for cohesive forces and crack reversibility

  • Philip, Peter
    • Interaction and multiscale mechanics
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    • 제2권1호
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    • pp.31-44
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    • 2009
  • While the classical theory of Griffith is the foundation of modern understanding of brittle fracture, it has a number of significant shortcomings: Griffith theory does not predict crack initiation and path and it suffers from the presence of unphysical stress singularities. In 1998, Francfort and Marigo presented an energy functional minimization method, where the crack (or its absence) as well as its path are part of the problem's solution. The energy functionals act on spaces of functions of bounded variations, where the cracks are related to the discontinuity sets of such functions. The new model presented here uses modified energy functionals to account for molecular interactions in the vicinity of crack tips, resulting in Barenblatt cohesive forces, such that the model becomes free of stress singularities. This is done in a physically consistent way using recently published concepts of Sinclair. Here, for the consistency of the model, it becomes necessary to allow for crack reversibility and to consider local minimizers of the energy functionals. The latter is achieved by introducing different time scales. The model is solved in its global as well as in its local version for a simple one-dimensional example, showing that local minimization is necessary to yield a physically reasonable result.

구조물의 속도 의존적 파괴 특성에 대한 연구; 입자동역학을 이용한 취성재료에의 적용 (Study on Rate Dependent Fracture Behavior of Structures; Application to Brittle Materials Using Molecular Dynamics)

  • 김근휘;임지훈;임윤묵
    • 대한토목학회논문집
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    • 제28권4A호
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    • pp.529-536
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    • 2008
  • 구조물의 파괴 거동은 하중의 재하 속도에 따라 달라지는 특성을 보이는데, 이는 재료의 속도 의존성으로부터 비롯된다고 할 수 있다. 이러한 현상은 공학의 여러 분야에서 관심사였지만, 파괴 메커니즘이 명확히 규명되지 않았기 때문에 수치 해석을 통한 연구에는 그 한계점과 어려움이 상존하였다. 본 연구에서는 파괴 거동의 속도 의존성을 이해하고자, 취성재료를 대상으로 입자동역학을 이용한 수치해석을 수행하였다. 직접 인장 시험 시뮬레이션을 위해 노치가 있는 시편을 모델링하고, 취성재료가 갖는 특성을 표현하기 위해 Lennard-Jones 포텐셜을 사용하였다. 6가지의 다른 하중 속도에 따른 균열의 거칠기, 균열의 후퇴와 멈춤, 분기 현상과 같은 동적 파괴 특성을 관찰하였다. 해석 결과를 통해 하중 속도에 따른 파괴 거동의 변화 원인을 에너지 유입-소모율의 개념을 도입하여 설명하고, 재료의 파괴 메커니즘이 갖는 속도 의존성에 대해 이해할 수 있는 단초를 마련하였다. 또한, 기존 실험과의 비교를 통해 실제적인 현상과의 유사성을 밝힘으로써 입자동역학의 공학적 적용 가능성을 제시하였다.

취성재료의 손상후 잔류강도 평가 (Evaluation of Residual Strength in Damaged Brittle Materials)

  • 신형섭;오상엽;서창민
    • 대한기계학회논문집A
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    • 제26권5호
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    • pp.932-938
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    • 2002
  • In structural applications, brittle materials such as soda-lime glasses and ceramics are usually subjected to multiaxial stress state. Brittle materials with cracks or damage by foreign object impacts are apt to fracture abruptly from cracks, because of their properities of very high strength and low fracture toughness. But in most cases, the residual strength of structural members with damage has been tested under uniaxial stress condition such as the 4-point bend test. Depending upon the crack pattern developed, the strength under multiaxial stress state might be different from the one under uniaxial. A comparative study was carried out to investigate the influence of stress state on the residual strength evaluation. In comparable tests, the residual strength under biaxial stress state by the ball-on-ring test was greater than that under the uniaxial one by the 4-point bend test, when a small size indendation crack was introduced. In the case that crack having an angle of 90deg. to the applied stress direction, the ratio of biaxial to uniaxial flexure strength was about 1.12. The residual strength was different from crack angles to loading direction when it was evaluated by the 4-point bend test. The ratio of residual strength of 45deg. crack to 90deg. one was about 1.20. In the case of specimen cracked by a spherical impact, it was shown that an overall decrease in flexure strength with increasing impact velocity, and the critical impact velocity for formation of a radial and/or cone crack was about 30m/s. In those cases that relatively large cracks were developed as compared with the case of indented cracks, the ratio of residual strength under biaxial stress state to one uniaxial became small.

Analysis of the fracture of brittle elastic materials using a continuum damage model

  • Costa Mattos, Heraldo S.;Sampaio, Rubens
    • Structural Engineering and Mechanics
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    • 제3권5호
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    • pp.411-427
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    • 1995
  • The most known continuum damage theories for brittle structures are suitable to model the degradation of the material due to the deformation process and the consequent initiation of a macro-crack. Nevertheless, they are not able to describe the propagation of the crack that leads, eventually, to the breakage of the structure into parts that undergo rigid body motion. This paper presents a theory, formulated from formal arguments of Continuum Mechanics, that may describe not only the degradation but also the fracture of elastic structures. The modeling of such a discontinuous phenomenon through a continuous theory is possible by taking a cohesion variable, related with the links between material points, as an additional degree of kinematical freedom. The possibilities of the proposed theory are discussed through examples.

Developing brittle transparent materials with 3D fractures and experimental study

  • Wang, Jing;Li, Shucai;Zhu, Weishen;Li, Liping
    • Steel and Composite Structures
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    • 제22권2호
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    • pp.399-409
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    • 2016
  • The fracture propagation mechanism and fractured rock mass failure mechanism were important research in geotechnical engineering field. Many failures and instability in geotechnical engineering were related on fractures propagation, coalescence and interaction in rock mass under the external force. Most of the current research were limited to two-dimensional for the brittleness and transparency of three-dimensional fracture materials couldn't meet the requirements of the experiment. New materials with good transparent and brittleness were developed by authors. The making method of multi fracture specimens were established and made molds that could be reused. The tension-compression ratio of the material reached above 1/6 in normal temperature. Uniaxial and biaxial loading tests of single and double fracture specimens were carried out. Four new fractures were not found in the experiment of two-dimensional fractures such as the fin shaped crack, wrapping wing crack and petal crack and anti-wing crack. The relationship between stress and strain of the specimens were studied. The specimens with the load had experienced four stages of deformation and the process of the fracture propagation was clearly seen in each stage. The expansion characteristics of the fractured specimens were more obvious than the previous research.

취성재의 손상후 잔류강도 평가 (Evaluation of Residual Strength in Damaged Brittle Materials)

  • 오상엽;신형섭;서창민
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.137-142
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    • 2001
  • In structural applications, brittle materials such as soda-lime glasses and ceramics are often subjected to multiaxial stress. Brittle materials with crack or damaged by foreign object impacts are abruptly fractured from cracks, because of their properities of very high strength and low fracture toughness. But in most cases, the residual strength has been derived from tests under uniaxial stress such as a 4-point bend test. The strengths under multiaxial stresses might be different from the strength. In comparable tests, the residual strength under biaxial stress state by the ball-on-ring test was greater than that under the uniaxial one by the 4-point bend test. In the case that crack having 90deg. to loading direction, the ratio of biaxial to uniaxial flexure strength was 1.12. At a different crack angle to loading direction when it was evaluated by the 4-point bend test, the residual strength was different and the ratio of 45deg. to 90deg. was 1.16.

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