• 제목/요약/키워드: Dynamic Energy Release Rate

검색결과 41건 처리시간 0.03초

Static and Dynamic Fracture Analysis for the Interface Crack of Isotropic-Orthotropic Bimaterial

  • Lee, Kwang-Ho;Arun Shukla;Venkitanarayanan Parameswaran;Vijaya Chalivendra;Hawong, Jae-Sug
    • Journal of Mechanical Science and Technology
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    • 제16권2호
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    • pp.165-174
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    • 2002
  • In the present study, 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 cracks are greate. when ${\alpha}$: 90$^{\circ}$(fibers perpendicular to the interface) than when ${\alpha}$=0$^{\circ}$(fibers parallel to the interface), and those when ${\alpha}$=90$^{\circ}$are similar to ones of isotropic material. The dynamic stress intensity factors for interfacial propagating cracks are greater when ${\alpha}$=0$^{\circ}$ than ${\alpha}$=90$^{\circ}$. For the velocity ranges (0.1 < C/C$\sub$s1/<0.7) observed in this study, the complex dynamic stress intensity factor │K$\sub$D/│increases with crack speed c, however, the rate of increase of │K$\sub$D/│with crack speed is not as drastic as that reported for homogeneous materials.

Investigating the effect of edge crack on the modal properties of composite wing using dynamic stiffness matrix

  • Torabi, Ali Reza;Shams, Shahrokh;Fatehi-Narab, Mahdi
    • Steel and Composite Structures
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    • 제39권5호
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    • pp.543-564
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    • 2021
  • In this study free vibration analysis of a cracked Goland composite wing is investigated. The wing is modelled as a cantilevered beam based on Euler- Bernoulli equations. Also, composite material is modelled based on lamina fiber-reinforced. Edge crack is modelled by additional boundary conditions and local flexibility matrix in crack location, Castigliano's theorem and energy release rate formulation. Governing differential equations are extracted by Hamilton's principle. Using the separation of variables method, general solution in the normalized form for bending and torsion deflection is achieved then expressions for the cross-sectional rotation, the bending moment, the shear force and the torsional moment for the cantilevered beam are obtained. The cracked beam is modelled by separation of beam into two interconnected intact beams. Free vibration analysis of the beam is performed by applying boundary conditions at the fixed end, the free end, continuity conditions in the crack location of the beam and dynamic stiffness matrix determinant. Also, the effects of various parameters such as length and location of crack and fiber angle on natural frequencies and mode shapes are studied. Modal analysis results illustrate that natural frequencies and mode shapes are affected by depth and location of edge crack and coupling parameter.

삼중수소 사고유출로 인한 농작물 오염 평가 모델 (Model for assessing the contamination of agricultural plants by accidentally released tritium)

  • 금동권;이한수;강희석;최용호;이창우
    • Journal of Radiation Protection and Research
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    • 제30권1호
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    • pp.45-54
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    • 2005
  • 원자력시설로부터 삼중수소 사고 누출시 시설 주변 농작물의 삼중수소 오염 평가를 위한 동적격실모델 ECOREA-H3를 개발하였다. 모델의 격실은 크게 대기, 토양, 농작물로 구성되며 농작물은 엽채류 곡물류, 근군류의 3개 소그룹으로 분류하여 각각 독립적으로 모델링하였다. 벼에 대한 삼중수소 피폭실험 해석을 통해 모델의 예측 정확도가 조사되었다. 모델링 결과 추수시 벼이삭의 TFWT 농도는 입력데이터 중 공기의 절대습도, 뿌리흡수비 강우량에 OBT 농도는 공기의 절대습도, 이삭의 성장기간, 유기물의 수소함량의 영향을 상대적으로 크게 받는 것으로 나타났다. 벼이삭 OBT 농도에 대한 모델 계산과 실험 측정값은 잘 일치하였다.

상태 기반 페리다이나믹 모델에 의한 동적취성파괴 해석: 평면응력 탄성체의 응력 전파와 균열패턴 분석 (Dynamic Fracture Analysis with State-based Peridynamic Model: Crack Patterns on Stress Waves for Plane Stress Elastic Solid)

  • 하윤도
    • 한국전산구조공학회논문집
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    • 제28권3호
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    • pp.309-316
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    • 2015
  • 상태 기반 페리다이나믹 모델은 일반적인 재료 구성 모델을 구현할 수 있고 비국부 영역 내에서 연결된 모든 결합의 변형을 통해 각 절점의 재료 응답이 결정되기 때문에 체적 및 전단 변형을 모두 표현할 수 있다. 따라서 상태 기반 모델은 복잡한 동적 취성 파괴 현상(분기균열, 2차 균열, 계단균열, 균열 유착 등)을 해석하는데 유용하다. 본 논문에서는 평면응력 탄성체에 대해 2차원 상태 기반 페리다이나믹 모델을 적용하고 에너지해방율과 페리다이나믹 에너지 포텐셜로부터 손상 모델을 구성하였다. 페리다이나믹 파괴 해석 모델을 통해 취성 유리 재료에 대해 균열 면에 평행한 압축 응력파가 균열 분기 패턴에 미치는 영향에 대해 조사하였다. 실험을 통해 관찰된 동적 균열 진전 및 분기 패턴에 대한 주요 특성들이 페리다이나믹 해석을 통해 확인되었다. 또한 강한 인장 하중 하의 계단균열과 이차균열 등이 상태 기반 페리다이나믹 시뮬레이션을 통해 잘 모사가 되는 것을 확인할 수 있었다.

확장된 slip-weakening 모델의 응력 강하량과 에너지 수지 특성 및 스케일링 관계 (Characteristics of Stress Drop and Energy Budget from Extended Slip-Weakening Model and Scaling Relationships)

  • 최항;윤병익
    • 한국지진공학회논문집
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    • 제24권6호
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    • pp.253-266
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    • 2020
  • The extended slip-weakening model was investigated by using a compiled set of source-spectrum-related parameters, i.e. seismic moment Mo, S-wave velocity Vs, corner-frequency fc, and source-controlled high-cut frequency fmax, for 113 shallow crustal earthquakes (focal depth less than 25 km, MW 3.0~7.5) that occurred in Japan from 1987 to 2016. The investigation was focused on the characteristics of stress drop, radiation energy-to-seismic moment ratio, radiation efficiency, and fracture energy release rate, Gc. The scaling relationships of those source parameters were also investigated and compared with those in previous studies, which were based on generally used singular models with the dimensionless numbers corresponding to fc given by Brune and Madariaga. The results showed that the stress drop from the singular model with Madariaga's dimensionless number was equivalent to the breakdown stress drop, as well as Brune's effective stress, rather than to static stress drop as has been usually assumed. The scale dependence of stress drop showed a different tendency in accordance with the size category of the earthquakes, which may be divided into small-moderate earthquakes and moderate-large earthquakes by comparing to Mo = 1017~1018 Nm. The scale dependence was quite similar to that shown by Kanamori and Rivera. The scale dependence was not because of a poor dynamic range of recorded signals or missing data as asserted by Ide and Beroza, but rather it was because of the scale dependent Vr-induced local similarity of spectrum as shown in a previous study by the authors. The energy release rate Gc with respect to breakdown distance Dc from the extended slip-weakening model coincided with that given by Ellsworth and Beroza in a study on the rupture nucleation phase; and the empirical relationship given by Abercrombie and Rice can represent the results from the extended slip-weakening model, the results from laboratory stick-slip experiments by Ohnaka, and the results given by Ellsworth and Beroza simultaneously. Also the energy flux into the breakdown zone was well correlated with the breakdown stress drop, ${\tilde{e}}$ and peak slip velocity of the fault faces. Consequently, the investigation results indicate the appropriateness of the extended slip-weakening model.

Transient Response of a Permeable Crack Normal to a Piezoelectric-elastic Interface: Anti-plane Problem

  • Kwon, Soon-Man;Lee, Kang-Yong
    • Journal of Mechanical Science and Technology
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    • 제18권9호
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    • pp.1500-1511
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    • 2004
  • In this paper, the anti-plane transient response of a central crack normal to the interface between a piezoelectric ceramics and two same elastic materials is considered. The assumed crack surfaces are permeable. By virtue of integral transform methods, the electro elastic mixed boundary problems are formulated as two set of dual integral equations, which, in turn, are reduced to a Fredholm integral equation of the second kind in the Laplace transform domain. Time domain solutions are obtained by inverting Laplace domain solutions using a numerical scheme. Numerical values on the quasi-static stress intensity factor and the dynamic energy release rate are presented to show the dependences upon the geometry, material combination, electromechanical coupling coefficient and electric field.

Studies on Cure Behaviors, Dielectric Characteristics and Mechanical Properties of DGEBA/Poly(ethylene terephthalate) Blends

  • Park, Soo-Jin
    • Macromolecular Research
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    • 제17권8호
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    • pp.585-590
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    • 2009
  • The cure behaviors, dielectric characteristics and fracture toughness of diglycidylether of bisphenol-A (DGEBA)/poly(ethylene terephthalate) (PET) blend system were investigated. The degree of conversion for the DGEBA/PET blend system was measured using Fourier transform infrared (FTIR) spectroscopy. The cure kinetics were investigated by measuring the cure activation energies ($E_a$) with dynamic differential scanning calorimetry (DSC). The dielectric characteristic was examined by dielectric analysis (DEA). The mechanical properties were investigated by measuring the critical stress intensity factor ($K_{IC}$), critical strain energy release rate ($G_{IC}$), and impact strength test. As a result, DGEBAIPET was successfully blended. The Ea of the blend system was increased with increasing PET content to a maximum at 10 phr PET. The dielectric constant was decreased with increasing PET content. The mechanical properties of the blend system were also superior to those of the neat DGEBA. These results were attributed to the increased cross-linking density of the blend system, resulting from the interaction between the epoxy group of DGEBA and the carboxyl group of PET.

Dynamic Droop-based Inertial Control of a Wind Power Plant

  • Hwang, Min;Chun, Yeong-Han;Park, Jung-Wook;Kang, Yong Cheol
    • Journal of Electrical Engineering and Technology
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    • 제10권3호
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    • pp.1363-1369
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    • 2015
  • The frequency of a power system should be maintained within the allowed limits for stable operation. When a disturbance such as generator tripping occurs in a power system, the frequency is recovered to the nominal value through the inertial, primary, and secondary responses of the operating synchronous generators (SGs). However, for a power system with high wind penetration, the system inertia will decrease significantly because wind generators (WGs) are operating decoupled from the power system. This paper proposes a dynamic droop-based inertial control for a WG. The proposed inertial control determines the dynamic droop depending on the rate of change of frequency (ROCOF). At the initial period of a disturbance, where the ROCOF is large, the droop is set to be small to release a large amount of the kinetic energy (KE) and thus the frequency nadir can be increased significantly. However, as times goes on, the ROCOF will decrease and thus the droop is set to be large to prevent over-deceleration of the rotor speed of a WG. The performance of the proposed inertial control was investigated in a model system, which includes a 200 MW wind power plant (WPP) and five SGs using an EMTP-RV simulator. The test results indicate that the proposed scheme improves the frequency nadir significantly by releasing a large amount of the KE during the initial period of a disturbance.

사고시 논으로 유출된 핵종 이동 모델 및 실험결과와의 비교 (Model for Transport of Accidently Released Radionuclides onto Rice-Fields and its Comparison with Experimental Data)

  • 금동권;이한수;최희주;강희석;임광묵;최용호;이창우
    • Journal of Radiation Protection and Research
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    • 제29권2호
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    • pp.117-127
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    • 2004
  • 핵종 누출 사고시 논으로의 핵종 이동 평가를 위한 동적격실모델을 개발하였다. 개발된 모델에는 벼 재배에 필수적인 관개수를 고려하여 표면수 격실과 줄기기부흡수 개념을 도입하였고, 이식 전 쟁기질과 관개담수에 의한 토양 혼합을 고려하였으며, 벼 성장에 따른 뿌리흡수상수, 줄기기부흡수상수의 변화를 생체량의 함수로 모델링하였다. 모델의 타당성 조사를 위해 고리, 영광 및 울진 원자력 발전소 주변 지역에서 채취한 논 토양으로 벼를 재배하면서 벼 생육단계별로 수행된 $^{137}Cs$ 모의 침적 실험 해석에 모델을 적용하였다. 모델은 대체적으로 한 승수 내에서 실험 결과와 잘 일치하였다.

Numerical simulation of reinforced concrete nuclear containment under extreme loads

  • Tamayo, Jorge Luis Palomino;Awruch, Armando Miguel
    • Structural Engineering and Mechanics
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    • 제58권5호
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    • pp.799-823
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    • 2016
  • A finite element model for the non-linear dynamic analysis of a reinforced concrete (RC) containment shell of a nuclear power plant subjected to extreme loads such as impact and earthquake is presented in this work. The impact is modeled by using an uncoupled approach in which a load function is applied at the impact zone. The earthquake load is modeled by prescribing ground accelerations at the base of the structure. The nuclear containment is discretized spatially by using 20-node brick finite elements. The concrete in compression is modeled by using a modified $Dr{\ddot{u}}cker$-Prager elasto-plastic constitutive law where strain rate effects are considered. Cracking of concrete is modeled by using a smeared cracking approach where the tension-stiffening effect is included via a strain-softening rule. A model based on fracture mechanics, using the concept of constant fracture energy release, is used to relate the strain softening effect to the element size in order to guaranty mesh independency in the numerical prediction. The reinforcing bars are represented by incorporated membrane elements with a von Mises elasto-plastic law. Two benchmarks are used to verify the numerical implementation of the present model. Results are presented graphically in terms of displacement histories and cracking patterns. Finally, the influence of the shear transfer model used for cracked concrete as well as the effect due to a base slab incorporation in the numerical modeling are analyzed.