• Title/Summary/Keyword: 균열전파 에너지

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Peridynamic Modeling for Crack Propagation Analysis of Materials (페리다이나믹 이론 모델을 이용한 재료의 균열 진전 해석)

  • Chung, Won-Jun;Oterkus, Erkan;Lee, Jae-Myung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.2
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    • pp.105-114
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    • 2018
  • In this paper, the computer simulations are carried out by using the peridynamic theory model with various conditions including quasi-static loads, dynamic loads and crack propagation, branching crack pattern and isotropic materials, orthotropic materials. Three examples, a plate with a hole under quasi-static loading, a plate with a pre-existing crack under dynamic loading and a lamina with a pre-existing crack under quasi-static loading are analyzed by computational simulations. In order to simulate the quasi-static load, an adaptive dynamic relaxation technique is used. In the orthotropic material analysis, a homogenization method is used considering the strain energy density ratio between the classical continuum mechanics and the peridynamic. As a result, crack propagation and branching cracks are observed successfully and the direction and initiation of the crack are also captured within the peridynamic modeling. In case of applying peridynamic used homogenization method to a relatively complicated orthotropic material, it is also verified by comparing with experimental results.

Evaluation of Delamination for Fiber Reinforced Composite Material without Crack (균열이 발생하지 않는 섬유강화 복합재료의 층간분리 평가법)

  • 송삼홍;김철웅;황진우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1349-1353
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    • 2003
  • Previous researches for fiber reinforced composite material(FRCM) have been evaluated the fatigue delamination behavior using the traditional fracture mechanics parameters. Therefore. previous researches for FRCM have not generally been firmed yet. Because delamination growth behavior in FRCM should be consider relationship between delamination area, A$\sub$D/ and crack length, a instead of traditional fracture mechanics parameters. Especially, in case of delamination behavior for FRCM without crack should be considering equivalent crack, i.e., pseudo crack, a$\sub$p/, using the fracture behavior of FRCM with crack. The major purpose of this study was to evaluate the delamination for FRCM without crack. The details of the studies are as follow : 1) Relationship between crack growth rate, da/dN and stress intensity factor, ΔK in FRCM containing a saw-cut and circular hole with crack. 2) Propose of PSEUDO CRACK MODEL for the delamination in FRCM without crack. 3) Analysis of crack propagation energy, E$\sub$crack/ using a total energy, E$\sub$total/ and delamination growth energy, E$\sub$del/.

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Crack Propagation in a Piezoelectric Layer Bonded between Two Orthotropic Layers (직교 이방성 탄성체에 접합된 압전 재료의 균열 전파 거동)

  • Kim, Chuel-Gon;Kwon, Soon-Man;Lee, Kang-Yang
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.22-26
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    • 2001
  • In this paper, we examine the steady state dynamic electromechanical behavior of an eccentric Yoffe crack in a piezoelectric ceramic layer bonded between two orthotropic elastic layers under the combined anti-plane mechanical shear and in-plane electrical loadings. We adopted permeable crack face condition. Numerical values on the dynamic energy release rate are obtained. The initial crack propagation orientation for PZT-5H piezoceramic is also predicted by maximum energy release rate criterion.

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

  • Kwon, Soon-Man;Choi, Hyo-Seung;Lee, Kang-Yong
    • Proceedings of the KSME Conference
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    • 2001.06a
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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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Dynamic Fracture Analysis with State-based Peridynamic Model: Crack Patterns on Stress Waves for Plane Stress Elastic Solid (상태 기반 페리다이나믹 모델에 의한 동적취성파괴 해석: 평면응력 탄성체의 응력 전파와 균열패턴 분석)

  • Ha, Youn Doh
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.28 no.3
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    • pp.309-316
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    • 2015
  • A state-based peridynamic model is able to describe a general constitutive model from the standard continuum theory. The response of a material at a point is dependent on the deformation of all bonds connected to the point within the nonlocal horizon region. Therefore, the state-based peridynamic model permits both the volume and shear changes of the material which is promising to reproduce the complicated dynamic brittle fracture phenomena, such as crack branching, secondary cracks, cascade cracks, crack coalescence, etc. In this paper, the two-dimensional state-based peridynamic model for a linear elastic plane stress solid is employed. The damage model incorporates the energy release rate and the peridynamic energy potential. For brittle glass materials, the impact of the crack-parallel compressive stress waves on the crack branching pattern is investigated. The peridynamic solution for this problem captures the main features, observed experimentally, of dynamic crack propagation and branching. Cascade cracks under strong tensile loading and secondary cracks are also well reproduced with the state-based peridynamic simulations.

Fatigue Crack Growth Behavior of and Recognition of AE Signals from Composite Patch-Repaired Aluminum Panel (복합재 패치로 보수된 알루미늄 패널의 피로균열 성장거동과 AE신호의 유형인식)

  • Kim, Sung-Jin;Kwon, Oh-Yang;Jang, Yong-Joon
    • Journal of the Korean Society for Nondestructive Testing
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    • v.27 no.1
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    • pp.48-57
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    • 2007
  • The fatigue crack growth behavior of a cracked and patch-repaired Ah2024-T3 panel has been monitored by acoustic emission(AE). The overall crack growth rate was reduced The crack propagation into the adjacent hole was also retarded by introducing the patch repair. AE signals due to crack growth after the patch repair and those due to debonding of the plate-patch interface were discriminated by usiag the principal component analysis. The former showed high center frequency and low amplitude, whereas the latter showed long rise tine, low frequency and high amplitude. This type of AE signal recognition method could be effective for the prediction of fatigue crack growth behavior in the patch-repaired structures with the aid of AE source location.

Application of Fracture Mechanics to Design of Machine and Structure Element (파괴역학을 이용한 기계요소 및 구조물 설계방안 (2))

  • Lee, Eok-Seop
    • Journal of the Korean Society for Precision Engineering
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    • v.4 no.1
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    • pp.27-32
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    • 1987
  • 제2장에서 선형타성체에 대한 파괴역학의 일반적인 개념을 약술하였다. 즉 응력확대계수(K) 와 응력집중계수($1_{4}$)의 차이, 에너지 해방율(1$\sub$y)및 $_{4}$와 K의 관계를 이론적으로 살펴보았다. 물론 식(2-35) 및 (2-36) 등은 균열전파 경로가 직선이 아닌 경우에 적용한다는 것은 무리가 있으나 전체적인 이해를 돕기위해서 앞에서와 같이 기술하였다. 세가지 경우의 응력확대 계수 $_{4}$, $_{4}$$_{4}$는 하중과 균열의 크기 및 시편의 크기 또는 균열이나 결함을 포함 하고 있는 기계요소 및 구조물의 기하학적인 형상에 관련이 되어져서 결정이 된다.

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The Formation of Serrated Grain Boundaries and Its Influence on Boron Segregation and Liquation Behavior (파형 결정립계 생성이 보론 편석 및 액화거동에 미치는 영향)

  • Hong, H.U.;Kim, I.S.;Choi, B.G.;Yoo, Y.S.;Jo, C.Y.
    • Proceedings of the KWS Conference
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    • 2010.05a
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    • pp.73-73
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    • 2010
  • 합금원소가 다량 첨가된 고합금강, 스테인리스강, Ni기 초내열합금 등은 용접시 혹은 후열처리 동안 열영향부 (HAZ: heat-affected-zone)에서 결정립계를 따라서 액화균열이 종종 발생한다. 이러한 액화균열은 급속한 가열시 HAZ의 결정립계가 국부적으로 용융되어 액상필름을 형성하고, 냉각시 수축으로 인한 인장구속응력에 의해 필름을 따라서 균열이 발생하여 생성된다. HAZ 결정립계 액화는 탄화물, 황화물, 인화물, 보론계 화합물 등이 급가열시 기지와의 반응에 의해 표피 액상을 형성하는 조성적 액화 (constitutional liquation)에 의한 액상의 결정립계 침투로 설명되거나, 결정립계 자체의 용융점을 상당량 낮추는 보론(B), 인(P), 황(S)등의 편석에 의한 국부적 입계 용융으로 주로 연관 지어 해석한다. HAZ 액화균열은 고온 입계균열 현상이므로, 결정립계의 특성에 따라 크게 영향을 받으며 결정립계 character 설계에 의해 액화균열 저항성을 개선시킬 수 있음을 유추할 수 있다. 한편, 본 연구자들은 최근 Ni기 초내열합금에 있어 입계 serration 현상을 새롭게 발견하였으며, 이론적 접근법을 통해 serration을 위한 특별한 열처리 방법을 개발하였다. 형성된 파형입계는 결정학적인 관점에서 조밀 {111} 입계면을 갖도록 분해 (dissociation)되어 낮은 계면에너지를 갖게 됨을 확인하였으며, 입계형상 변화뿐만 아니라 탄화물 특성변화까지 유도하여 크리프 수명을 기존대비 약 40% 정도 향상시킴을 확인하였다. 본 연구에서는 이러한 직선형 입계 대비 'special boundary'로 간주되는 파형입계가 도입될 경우, 보론 편석 및 HAZ 액화거동에 미치는 영향을 고찰하고자 하였다. SIMS (secondary ion mass spectrometry)를 이용하여 열처리 직후 결정립계 보론편석 정도를 비교하였다. 파형입계 시편의 경우, 일반직선형 시편에 비해 결정립계에 보론편석 저항성이 우수함을 확인할 수 있었다. 재현 HAZ 열사이클 시험을 통해 미세조직을 정량적으로 분석하였다. 파형입계 시편 및 일반직선형 시편 모두 최고온도 $1060^{\circ}C$이상부터 입계 탄화물이 기지내로 완전 용해되고 입계가 액화되기 시작하였다. 최고온도별로 입계액화비율을 정량적으로 비교한 결과, 파형입계가 직선입계 대비 훨씬 낮음을 확인할 수 있었으며, 때때로 액화된 필름이 입계를 따라 전파되지 않고 부분적으로 단락되어 있음이 관찰되었다. 액화시험 후 투과전자현미경을 이용한 EDS (energy dispersive spectrometry) 분석을 통해 결정립계 액화의 주요원인은 입계 $M_{23}C_6$의 조성적 액화반응 보다는 보론 편석 (원자 및 $M_{23}(CB)_6$)으로 인한 결정립계 국부용융이 더 유력함을 유추할 수 있었다. 따라서 상기 결과로부터 입계구조가 안정되어 계면에너지가 낮은 파형입계가 보론편석에 대한 저항성이 우수하였으며, 이러한 결과는 액화 저항성에 대응되어 영향을 미침을 알 수 있었다. 게다가 파형입계에 액상 필름이 생성되더라도 낮은 계면에너지에 의해 비롯된 상대적으로 낮은 적심성 (wettability)에 의해 필름이 쉽게 전파되지 않음을 'Smith 입계 wetting 이론'을 이용하여 해석할 수 있었다.

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Dynamic Behaviors of Metal Matrix Composites in Low Velocity Impact (저속 충격하에서의 금속복합재료의 동적 특성)

  • ;Gamal A. Aggag;K.Takahashi
    • Composites Research
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    • v.12 no.1
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    • pp.68-75
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    • 1999
  • This study has observed that the dynamic behavior of Metal Matrix Composites (MMCs) in low velocity impact varies with impact velocity. MMCs with 15 fiber volume percent were fabricated by using the squeeze casting method. The AC8A was used as the matrix, and the alumina and the carbon were used as reinforcements. The tensile and vibration tests conducted yielded the yielded the tensile stress and elastic modulus of MMCs The low pass filter and instrumented impact test machine was adopted to study dynamic behaviors of MMCs corresponding to impact velocity. Stable impact signals were obtained by using the low pass filter. Impact corresponding to impact velocity. Stable impact signals were obtained by using the low pass filter. Impact energy of unreinforced alloy and MM s increased as the impact velocity increased. The increase of crack propagation energy was especially prominent, but the dynamic toughness of each material did not change much. To show the relation between crack initiation energy and dynamic fracture toughness, a simple model was proposed by using the strain energy and stress distribution at notch. The model revealed that crack initiation energy is proportional to the square of dynamic fracture toughness and inversely proportional to elastic modulus.

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Contact Fracture behavior of Silicon Nitride Bilayer (질화규소 이층 층상재료의 접촉파괴거동)

  • Lee, Kee-Sung;Lee, Seung-Kun;Kim, Do-Kyung
    • Korean Journal of Materials Research
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    • v.8 no.4
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    • pp.293-298
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    • 1998
  • The fracture behavior of $Si_3N_4N$, coated $Si_3N_4N$-BN composite was studied by the Hertzian indentation technique. New types of contact-induced cracks were found, and it was confirmed that these cracks have cone crack geometry. Contact damage was distributed in the substrate layer, which can absorb energy, as well as in the coating layer, so the propagation of initiated cracks in the coating layer were suppressed.

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