• Title/Summary/Keyword: Crack-tip field

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Fringe Analysis around an Inclined Crack Tip of Finite-Width Plate under Tensile Load by Photoelastic Phase-Shifting Method (광탄성 위상이동법을 이용한 인장판 경사균열 선단주위의 프린지 해석)

  • Li, Weizheng;Baek, Tae-Hyun;Hong, Dong-Pyo;Lee, Byung-Hee;Seo, Jin
    • Journal of the Korean Society for Nondestructive Testing
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    • v.32 no.1
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    • pp.27-33
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    • 2012
  • Photoelasticity is a technique of experimental methods and has been widely used in various domains of engineering to determine the stress distribution of structures. Without complicated mathematical formulation, this technique can conveniently provide a fairly accurate whole-field stress analysis for a mechanical structure. Here, stress distribution around an inclined crack tip of finite-width plate is studied by 8-step phase-shifting method. This method is a kind of photoelastic phase-shifting techniques and can be used for the determination of the phase values of isochromatics and isoclinics. According to stress-optic law, the stress distribution could be obtained from fringe patterns. The results obtained by polariscope arrangement combined with 8-step method and ABAQUS FEM simulations are compared with each other. Good agreement between them shows that 8-step phase-shifting method is reliable and can be used for determination of stress by experiment.

Redistributions of Welding Residual Stress for CTOD Specimen by Local Compression (Local compression에 의한 CTOD 시편내의 용접잔류응력 재분포)

  • Joo, Sung-Min;Yoon, Byung-Hyun;Chang, Woong-Seong;Bang, Han-Sur;Bang, Hee-Seon;Ro, Chan-Seung
    • Journal of Welding and Joining
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    • v.27 no.6
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    • pp.31-35
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    • 2009
  • When conducting CTOD test, especially in thick welded steel plate, fatigue pre-cracking occasionally failed to satisfy the requirements of standards thus making the test result invalid. Internally accumulated residual stress of test piece has been thought as one of the main reasons. The propagation of fatigue crack, started from the tip of machined notch, which might have propagated irregularly due to residual stress field. To overcome this kind of difficulty three methods to modify the residual stress are suggested in standard i.e. local compression, reverse bending and stepwise high-R ratio method. In this paper not only multi pass welding but also local pre-compressing process of thick steel plate has been simulated using finite element method for clarifying variation of internal welding residual stress. The simulated results show that welding residual stress is compressive in the middle section of the model and it is predominantly increased after machining the specimen. Comparing as-welded state all component of the welding residual stress changing to compressive in the tip of machine notch whereas residual stress of the outer area remain as tensile condition relatively. Analysis results also show that this irregular residual stress distribution is improved to be more uniformly by applying local compression.

A Study on the J-Resistance Characteristics and Material Tearing Modulus of SG365 steel (SG365강의 파괴저항특성과 찢어짐계수에 관한 연구)

  • 임만배;윤한기
    • Journal of Ocean Engineering and Technology
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    • v.15 no.3
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    • pp.75-80
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    • 2001
  • The elastic plastic fracture toughness of this material is evaluated by the an unloading compliance method according to the ASTM E813-97 and E1152-97 method on the smooth and side groove 1CT specimens. The effect of smooth and side groove is studied on the material tearing modulus and characterizes the crack tip field under the plane stress and strain. SG-365 steel is observed that J-R curve and Tmat value decrease as 0%, 20%, 30%, and 40%. The 40% side grooved specimen is very useful in estimation of the $J_IC$. Because it is much easier than the smooth specimen to the onset of the ductile tearing by the R curve method. Besides. it improves the accuracy of toughness values, decreases the scattering the them and tunneling and shear lip by the side groove. Applicability of tearing modulus($T_J$ proposed by paris et al as instability panameter for this material is investigated.

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STRESS FIELD PATTERN AT CRACK TIP IN COMPOSITE MATERIALS

  • Lee, Eok-Seop;Han, Min-Gu
    • Journal of the Korean Society for Precision Engineering
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    • v.4 no.4
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    • pp.43-55
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    • 1987
  • 본 연구는 Orthotropic 재료에 존재하는 균열선단에서의 응력장의 양상에 대하여 지금까지의 연구들에서 상세하게 고려되지 않았던 여러 탄성계수들의 영향을 평면-변형조건 하에서 고찰하였다. 여러 하중조건과 경계조건 하에서의 일반적인 이방성 재료에 존재하는 균열선단에서의 응력자의 양상도 고찰하였으며, $a_{11}S^4-2a_{16}S^3+(2a_{12}+a_{66})S^2-2a_{26}S+a_{22}=0$인 특성방정식의 4근은 Cardano와 Ferrar의 해법을 쓴 새로운 단순기법에 의해 해석하였고 특성방정식의 4근에 미치는 일반적인 이방성 재료의 물성치 즉 Exx, Eyy, Ezz, Gxy, ${\nu}_{zx}$, ${\nu}_{xy}$,${\nu}_{yz}$, ${\eta}$ ${\eta}$xy,x, ${\eta}$xy, y, ${\eta}$xy,z , 들의 영향들에 대해 상세히 연구되었다. 또한 균열선단부근에서의 응력분포 양상을 재료의 물성치와 경계조건 및 하중조건들로써 체계적으로 연구하였다.

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Fracture Analysis of Welded Plates using the J-integral (J-적분을 이용한 용접구조물의 파괴해석)

  • 심용래
    • Computational Structural Engineering
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    • v.9 no.4
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    • pp.173-179
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    • 1996
  • Study of weldment fracture behavior includes thermal analysis, residual stress analysis, and fracture analysis. The J-integral loses its path-independency in a residual stress field. Therefore, it is necessary to develop a program to calculate the J-integral in a welded plate. In this study, theoretical formulation and program were developed for the evaluation of the J-integral at the crack tip of weldments. To verify equations and program, welded thin plate and thick plate were used to calculate residual stress and the J-integral.

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Thermal and Electrical Breakdown Phenomena in Electrical Insulator of Power Cable (전력케이블용 전기절연재료의 열적, 전기적 파괴현상)

  • Cho, Young-Shin;Shim, Mi-Ja;Kim, Sang-Wook
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.187-189
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    • 1997
  • Thermal and electrical breakdown phenomena in XLPE insulator of power cable were investigated. At high temperature the polymeric insulator was thermally deteriorated. Under the magnified high electric field, electrical tree was initiated at the sharp tip of needle electrode which was inserted to simulate the defects and impurities such as void, crack, metallic particles, dusts, and so on.

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Shape Design Optimization of Crack Propagation Problems Using Meshfree Methods (무요소법을 이용한 균열진전 문제의 형상 최적설계)

  • Kim, Jae-Hyun;Ha, Seung-Hyun;Cho, Seonho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.5
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    • pp.337-343
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    • 2014
  • This paper presents a continuum-based shape design sensitivity analysis(DSA) method for crack propagation problems using a reproducing kernel method(RKM), which facilitates the remeshing problem required for finite element analysis(FEA) and provides the higher order shape functions by increasing the continuity of the kernel functions. A linear elasticity is considered to obtain the required stress field around the crack tip for the evaluation of J-integral. The sensitivity of displacement field and stress intensity factor(SIF) with respect to shape design variables are derived using a material derivative approach. For efficient computation of design sensitivity, an adjoint variable method is employed tather than the direct differentiation method. Through numerical examples, The mesh-free and the DSA methods show excellent agreement with finite difference results. The DSA results are further extended to a shape optimization of crack propagation problems to control the propagation path.

Analysis of Photoelastic Stress Field Around Inclined Crack Tip by Using Hybrid Technique (하이브리드 기법에 의한 경사균열 팁 주위의 광탄성 응력장 해석)

  • Chen, Lei;Seo, Jin;Lee, Byung-Hee;Kim, Myung-Soo;Baek, Tae-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.9
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    • pp.1287-1292
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    • 2010
  • In this paper, a hybrid technique is presented. First, the isochromatic fringe data of a given set of points are calculated by the finite element method and are used as input data in complex variable formulations. Then the numerical model of the specimen with a central inclined crack is transformed from the physical plane to the complex plane by conformal mapping. The stress field is analyzed and the mixed-mode stress intensity factors are calculated for this complex plane. The stress intensity factors are calculated by the finite element method as well as by a theoretical method and compared with each other. In order to conveniently compare these values with each other, both actual and regenerated photoelastic fringe patterns are multiplied by a factor of two and sharpened by digital image processing.

The Study on the Characteristics of Mode I Crack for Cross-ply Carbon/Epoxy Composite Laminates Based on Stress Fields (응력장을 이용한 직교적층 탄소섬유/에폭시 복합재 적층판의 모드 I 균열 특성 연구)

  • Kang, Min-Song;Jeon, Min-Hyeok;Kim, In-Gul;Woo, Kyeong-Sik
    • Composites Research
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    • v.32 no.6
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    • pp.327-334
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    • 2019
  • The delamination is a special mode of failure occurring in composite laminates. Several numerical studies with finite element analysis have been carried out on the delamination behavior of unidirectional composite laminates. On the other hand, the fracture for the multi-directional composite laminates may occur not only along the resin-fiber interface between plies known as interply or interlaminar fracture but also within a ply known as interyarn or intralaminar fracture accompanied by matrix cracking and fiber bridging. In addition, interlaminar and intralaminar cracks appear at irregular proportions and intralaminar cracks proceeded at arbitrary angle. The probabilistic analysis method for the prediction of crack growth behavior within a layer is more advantageous than the deterministic analysis method. In this paper, we analyze the crack path when the mode I load is applied to the cross-ply carbon/epoxy composite laminates and collect and analyze the probability data to be used as the basis of the probabilistic analysis in the future. Two criteria for the theoretical analysis of the crack growth direction were proposed by analyzing the stress field at the crack tip of orthotropic materials. Using the proposed method, the crack growth directions of the cross-ply carbon/epoxy laminates were analyzed qualitatively and quantitatively and compared with experimental results.

Analysis of Piezoelectric Ceramic Multi-layer Actuators Based on the Electro-mechanical Coupled Meshless Method (전기-기계 결합 하중을 받는 압전 세라믹 다층 작동기의 무요소 해석)

  • Kim, Hyun-Chul;Guo, Xianghua;Kim, Won-Seok;Fang, Daining;Lee, Jung-Ju
    • Transactions of the Korean Society of Automotive Engineers
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    • v.15 no.2
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    • pp.101-108
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    • 2007
  • This paper presents an efficient meshless method for analyzing cracked piezoelectric structures subjected to mechanical and electrical loading. The method employs an element free Galerkin (EFG) formulation and an enriched basic function as well as special shape functions that contain discontinuous derivatives. Based on the moving least squares (MLS) interpolation approach, The EFG method is one of the promising methods for dealing with problems involving progressive crack growth. Since the method is meshless and no element connectivity data are needed, the burdensome remeshing procedure required in the conventional finite element method (FEM) is avoided. The numerical results show that the proposed method yields an accurate near-tip stress field in an infinite piezoelectric plate containing an interior hole. Another example is to study a ceramic multilayer actuator. The proposed model was found to be accurate in the simulation of stress and electric field concentrations due to the abrupt end of an internal electrode.