• Title/Summary/Keyword: Static and Dynamic Stress Intensity Factor

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Study on failure behaviors of mixed-mode cracks under static and dynamic loads

  • Zhou, Lei;Chen, Jianxing;Zhou, Changlin;Zhu, Zheming;Dong, Yuqing;Wang, Hanbing
    • Geomechanics and Engineering
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    • v.29 no.5
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    • pp.567-582
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    • 2022
  • In the present study, a series of physical experiments and numerical simulations were conducted to investigate the effects of mode I and mixed-mode I/II cracks on the fracture modes and stability of roadway tunnel models. The experiments and simulations incorporated different inclination angle flaws under both static and dynamic loads. The quasi-static and dynamic testing were conducted by using an electro-hydraulic servo control device and drop weight impact system (DWIS), and the failure process was simulated by using rock failure process analysis (RFPA) and AUTODYN software. The stress intensity factor was also calculated to evaluate the stability of the flawed roadway tunnel models by using ABAQUS software. According to comparisons between the test and numerical results, it is observed that for flawed roadways with a single radical crack and inclination angle of 45°, the static and dynamic stability are the lowest relative to other angles of fractured rock masses. For mixed-mode I/II cracks in flawed roadway tunnel models under dynamic loading, a wing crack is produced and the pre-existing cracks increase the stress concentration factor in the right part of the specimen, but this factor will not be larger than the maximum principal stress region in the roadway tunnel models. Additionally, damage to the sidewalls will be involved in the flawed roadway tunnel models under static loads.

An Application of 2-D BEM with Laplace Transformation to Impact Crack Analysis (균열의 충격해석에 대한 Laplace 변환 2차원 경계요소법의 응용)

  • 조상봉;김태규;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.5
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    • pp.883-890
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    • 1992
  • Analysis of dynamic or impact problems is very important in engineering fields such as airplanes and automobiles. In the present study, two-dimensional elastodynamic BEM program with Laplace transformation is developed to analyze dynamic or impact problems. Accuracy and efficiency of the BEM program are tested by making the comparision of impact analysis of some models with other's published results. The BEM developed is applied to the impact crack problem and the dynamic stress intensity factors of some impact cracks is obtained by the displacement extrapolation method. It is confirmed to be possible to analyze impact problems accurately with only a little elements in simple models. And also it is found to be careful to use the singular element usually using in static crack problems because that the elastodynamic fundamental solution usually using in static crack problems because that the elastodynamic fundamental solution has more sensitive singularity than the static fundamental solution and to determine the boundary conditions in dynamic problems.

Determination of the Stress Intensity Factor by the Method of Caustics (CAUSTICS방법에 의한 응력확대계수 결정)

  • Kim, S.C.;Lee, O.S.;Han, M.K.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.8 no.1
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    • pp.22-29
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    • 1988
  • The optical method of reflected and transmitted caustics has been utilized in mechanics investigations. This relatively new experimental technique has been successfully applied on various fracture analysis such as static and dynamic c rack propagation studies, some elasticity problems and contact stress, etc, In this study, the stress intensity factors in thin polycarbonate specimens, a kind of optically anisotropic material, under Mode I loading condition are estimated by the method of caustics. The values of stress intensity factors obtained from theoretical caustics shape are compared by the experiment. It is confirmed that the two stress intensity factors agree well with Srawley's solution.

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Dynamic Fracture Toughness of Chevron-notch Ceramic Specimens measured in Split Hopkinson Pressure Bar

  • Lee, Yeon-Soo;Yoon, Young-Ki;Yoon, Hi-Seak
    • International Journal of Precision Engineering and Manufacturing
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    • v.3 no.3
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    • pp.69-75
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    • 2002
  • Measuring dynamic fracture toughness of brittle and small ceramic specimen is very difficult in a SHPB (Split Hopkinson Pressure Bar). As a countermeasure to this difficulty, a dynamic fracture toughness measuring method by the Chevron-notch ceramic specimen was proposed. Tested chevron specimens were of Chevron notch angles of 90$^{\circ}$, 100$^{\circ}$ and 110$^{\circ}$. Through finite element analysis, shape parameters of the Chevron-notch specimens according to notch angles were calculated. And the static fracture tough1ess of the Chevron-notch alumina specimen was measured as 3.8MPa√m similar to that of CT specimen with a precrack. Dynamic fracture toughness was 4.5MPa√m slightly higher than the static one. It was shown in this study that the proposed Chevron-notch specimens are valid to measure dynamic fracture toughness of extremely brittle materials such as ceramic.

A Study on the Development of the Dynamic Photoelastic Hybrid Method for Two Dissimilar Isotropic Bi-Materials (두 상이한 등방성 이종재료용 동적 광탄성 하이브리드법 개발에 관한 연구)

  • Sin, Dong-Cheol;Hwang, Jae-Seok;Gwon, O-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.3
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    • pp.434-442
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    • 2001
  • When the interfacial crack of two dissimilar isotropic bi-materials is propagated with constant velocity along the interface, stress and displacement components are derived in this research. The dynamic photoelastic experimental hybrid method for bimaterial is introduced. It is assured that stress components and dynamic photoelastic hybrid method developed in this research are valid. Separating method of stress component is introduced from only dynamic photoelastic fringe patterns. Crack propagating velocity of interfacial crack is 80∼85% (in case of aluminum, 24.3∼25.9%) of Rayleigh wave velocity of epoxy resin. The near-field stress components of crack-tip are similar with those of pure isotropic material under static or dynamic loading, but very near-field stress components of crack-tip are different from those.

Development of the Dynamic Photoelastic Hybrid Method for Propagating Interfacial Crack of Isotropic/Orthotropic Bi-materials (등방성/직교이방성 이종재료의 진전 계면균열에 대한 동적 광탄성 실험 하이브리드 법 개발)

  • Hwang, Jae-Seok;Sin, Dong-Cheol;Kim, Tae-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.7
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    • pp.1055-1063
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    • 2001
  • When the interfacial crack of isotropic/orthotropic bi-materials is propagated with constant velocity along the interface, stress and displacement components are derived in this research. The dynamic photoelastic experimental hybrid method for the bimaterial is introduced. It is assured that stress components and dynamic photoelastic hybrid developed in this research are valid. Separating method of stress components is introduced from only dynamic photoelastic fringe patterns. Crack propagating velocity of interfacial crack is 69∼71% of Rayleigh wave velocity of epoxy resin. The near-field stress components of bonded interface of bimaterial are similar with those of pure isotopic material and two dissimilar isotropic bimaterials under static or dynamic loading, but very near-field stress components of bonded interface of bimaterial are different from those.

Comparative Study of P-T Limit Curves between 1998 ASME and 2017 ASME Code Applied to Typical OPR1000 Reactors

  • Maragia, Joswhite Ondabu;Namgung, Ihn
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.15 no.2
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    • pp.1-8
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    • 2019
  • The integrity of the Reactor Pressure Vessel (RPV) is affected by the neutrons bombarding the vessel wall leading to embrittlement. This irradiation-induced embrittlement leads to reduction in the fracture toughness of RPV materials. This paper presents a comparative study of typical Optimized Power Reactor (OPR)1000 reactor pressure-temperature (P-T) limit curves using the pre-2006 American Society of Mechanical Engineers (ASME) editions used in the power plant and the current ASME edition of 2010. The current ASME Code utilizes critical reference stress intensity factor based on the lower bound of static, while the Pre-2006 ASME editions are based the critical reference stress intensity factor based on the lower bound of static, dynamic and crack arrest. Model-Based Systems Engineering approach was used to evaluate ASME Code Section XI Appendix G for generating the P-T limit curves. The results obtained from this analysis indicate decrease in conservatism in P-T limit curves constructed using the current 2017 ASME code, which can potentially increase operational flexibility and plant safety. Hence it is recommended to use ASME code edition after 2006 be used in all operating nuclear power plants (NPPs) to establish P-T limit curve.

Interference between two dynamic cracks (동적 균열의 간섭)

  • 이억섭;최인성
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.714-718
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    • 1996
  • The interference phenomenonof a dynamic crack propagation in a inclined DEN(double edge notched) specimen has been investigated by using the dynamic photoelasticity. One crack initiated by static loading is propagated dynamically and experiences a mixed mode condition(interference) as the crack approaches to the inclined edge notch. We use the overdeterministic least-square method to extract dynamic $K_{Id}$ K sub IId/and .sigma. $_{ox}$from the recorded dynamic photoelastic pattern surounding a running crack. The evaluated $K_{Id}$ $K_{IId}$and .sigma. $_{ox}$together with the crack propagation velocity estimate the dynamic crack interference phenomenonenonon

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A Study on the Crack Behaviour of the Concrete Gravity Dam (콘크리트 중력댐의 균열거동에 관한 연구)

  • 장희석;손병락;김희성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.353-362
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    • 1999
  • This study is aimed to obtain the critical crack lengthes of the concrete gravity dam and to investigate variation of the effective stress intensity factors at the crack tips of multiple cracks. Applied loads are dynamic load composed of blast vibration and hydrodynamic pressure which can be considered in case of the blast work at near construction site, in addition to static load composed of hydrostatic pressure, crack pressure, and gravity load of the dam. The critical crack lengthes were calculated according to the crack locations, directions, and magnitudes of blast vibration. Also variation of the effective stress intensity factors with respect to the multiple crack shapes and distances between the crack tips was investigated.

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Measurement of Dynamic Fracture Toughness Using Chevron Notched Ceramic Specimen (세브론노치 세라믹시편을 이용한 동적파괴인성측정)

  • Lee, Yeon-Soo;Lee, Young-Sun;Park, Rae-Seok;Moon, Young-Deuk;Yoon, Hi-Seak
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.5
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    • pp.98-104
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    • 2001
  • A dynamic fracture toughness test method with a chevron notched ceramic specimens is proposed. The notch angles of the chevron specimens were 90, 100$^{\circ}$and 110$^{\circ}$. Finite element analysis(FEA) were done to determine the geometrical properties of chevron-notch specimens according to notch angles. The static fracture toughness of the chevron notched alumina specimen was 3.8MP$\alpha$√m similar to that of the general fracture specimen with a precrack. Dynamic fracture toughness was 4.5 MP$\alpha$√m slightly higher than the static one. These research showed the possibility of the split Hopkinson pressure bar test method using the newly proposed chevron notched specimens to get the dynamic fracture toughness of extremely brittle materials such as ceramics.

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