• Title/Summary/Keyword: Stress Singularity

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Iterative Cell-wise Solution Method for the Adaptive Analysis of a Meshless Method (무요소법의 적응해석을 위한 반복격자해법)

  • 석병호;임장근
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.607-614
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    • 2002
  • For the accurate analysis of crack problems, considerable nodal refinement near the crack tip to capture singular stress field with sufficient accuracy to provide a useful computation of stress intensity factor is required. So, in this paper, adaptive nodal refinement scheme is proposed where nodes in restricted cell regions centered at crack tip are arranged in array for enhanced spatial resolution and adaptivity. With only cell-wise adaptive refinement scheme around crack tip fields, singularity of crack tip is sufficiently described to expect a successive crack propagate direction. Through numerical tests, accuracy of the proposed adaptive scheme is investigated and compared with the finite element and experimental results. By this implementation, it is shown that high accuracy is achieved by using iterative cell-wise solution method fur analyzing crack propagation problems.

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A Mesh-free Crack Analysis Technique Using Enriched Approximation and Discontinuity Function (확장변위함수와 불연속함수를 적용한 Mesh-free 균열해석기법)

  • 이상호;윤영철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.335-342
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    • 2001
  • In this paper, an improved Element-Free Galerkin (EFG) method is proposed by adding enrichment function to the standard EFG approximation and a discontinuity function is implemented in constructing the shape function across the crack surface. In this method, the singularity and the discontinuity of the crack are efficiently modeled by using initial node distribution to evaluate reliable stress intensity factor, though the standard EFG method requires placing additional nodes near the crack tip. The proposed method enables the initial node distribution to be kept without any additional nodal d.o.f. and expresses the asymptotic stress field near the crack tip successfully. Numerical example verifies the improvement and the effectiveness of the method.

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Analysis of Arbitrary Three Dimensional Cracks in the Finite Body Using the Symmetric Galerkin Boundary Element Method (대칭 Galerkin 경계요소법을 이용한 유한체 내에 존재하는 임의의 삼차원 균열의 해석)

  • Park, Jai-Hak;Kim, Tae-Soon
    • Journal of the Korean Society of Safety
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    • v.19 no.1
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    • pp.38-43
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    • 2004
  • Many analysis methods, including finite element method, have been suggested and used for assessing the integrity of cracked structures. In the paper, in order to analyze arbitrary three dimensional cracks, the finite element alternating method is extended. The crack is modeled by the symmetric Galerkin boundary element method as a distribution of displacement discontinuities, which is formulated as singularity-reduced integral equations. And the finite element method is used to calculate the stress values for the uncracked body only. Applied the proposed method to several example problems for planner cracks in finite bodies, the accuracy and efficiency of the method were demonstrated.

A Study on Strength Evaluation of Adhesive Joints(1st Report, Stress Analysis and Fracture Strength of Adhesive Single-Lap Joint) (접착이음의 강도평가에 관한 연구 (제1보 겹치기 접착이음의 응력해석과 파괴강도))

  • 정남용
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.4
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    • pp.667-674
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    • 1992
  • Recently advantages in composite and light weight material technique have led to the increased use of structural adhesives in various industries. In spite of such wide application of the adhesive joints, the evaluation method of fracture strength and design methodology of them, have not been established. In this study finite element method, theoretical and experimental analyses were investigated according to changes of lap length and adhesive for adhesive single-lap joint. As the results, the strength evaluation of adhesive joint by conventional nominal stress, was pointed out inadequate strength evaluation and design method regardless stress singularity, stress distribution and crack propagation in its adhesive layer. Also, it was examined the problems to apply fracture mechanics by means of static and fatigue test.

Numerical Implementation of Modified Coulomb-Mohr Yield Criterion for Anisotropic and Asymmetric Materials

  • Lee Myoung-Gyu;Kim Ji-Hoon;Ryou Han-Sun;Chung Kwan-Soo;Youn Jae-Ryoun;Kang Tae-Jin
    • Fibers and Polymers
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    • v.7 no.3
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    • pp.276-285
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    • 2006
  • Development and numerical implementation for an elastoplastic constitutive model for anisotropic and asymmetric materials are presented in this paper. The Coulomb-Mohr yield criterion was modified to consider both the anisotropic and asymmetric properties. The modified yield criterion is an isotropic function of the principal values of a symmetric matrix which is linearly transformed from the Cauchy stress space. In addition to the constitutive equation, the numerical treatment for the singularity in the vertex region of yield surface and stress integration algorithm based on elastoplasticity were presented. In order to assess the accuracy of numerical algorithm, isoerror maps were considered. Also, extension of a strip with a circular hole was simulated and results compared with those obtained using the (smooth) Mises yield criterion to validate stress output for a complex stress state.

A Study on the Fatigue Strength Evaluation for Fillet Weldment including Stress Singularity using Structural Stress with Virtual Node Method (응력 특이점을 갖는 필릿 용접구조물의 피로해석을 위한 가상절점법을 이용한 구조응력 계산 기법 고찰)

  • Ha Chung-In;Kang Sung-Won;Kim Myung-Hyun;Kim Man-Soo;Sohn Sang-Yong;Heo Joo-Ho
    • Journal of Welding and Joining
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    • v.24 no.3
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    • pp.27-33
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    • 2006
  • Structural stress approach is well known as a mesh-size insensitive fatigue assessment method by using finite element analyses. It is, however, difficult to estimate the structural stress (SS) at weld end points due to stress singularities when shell elements are used. In this study, fatigue evaluations with longitudinal load carrying box fillet weldment under out-of-plane bending load have been performed by using virtual node method (VNM) in order to avoid the problem, which is called the weld end effect. Various combinations of virtual node parameters, such as reference point and virtual node locations, are investigated for the estimation of proper structural stress values applying VNM in a systematic manner. The appropriate guidance of virtual node parameter has been offered for the fillet weldment considered in the study. The structural stress values obtained by VNM have also been validated by comparing the result with finite element model including weld bead. Moreover, the fatigue strength of the fillet weldment based on the equivalent structural stress is shown to be consistent with the master S-N curve.

Topological phase transition according to internal strain in few layer Bi2Se3 thin film grown via a self-organized ordering process

  • Kim, Tae-Hyeon;Park, Han-Beom;Jeong, Gwang-Sik;Chae, Jae-Min;Hwang, Su-Bin;Jo, Man-Ho
    • Proceedings of the Korean Vacuum Society Conference
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    • 2016.02a
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    • pp.272.1-272.1
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    • 2016
  • In a three-dimensional topological insulator Bi2Se3, a stress control for band gap manipulation was predicted but no systematic investigation has been performed yet due to the requirement of large external stress. We report herein on the strain-dependent results for Bi2Se3 films of various thicknesses that are grown via a self-organized ordering process. Using small angle X-ray scattering and Raman spectroscopy, the changes of d-spacings in the crystal structure and phonon vibration shifts resulted from stress are clearly observed when the film thickness is below ten quintuple layers. From the UV photoemission/inverse photoemission spectroscopy (UPS/IPES) results and ab initio calculations, significant changes of the Fermi level and band gap were observed. The deformed band structure also exhibits a Van Hove singularity at specific energies in the UV absorption experiment and ab initio calculations. Our results, including the synthesis of a strained ultrathin topological insulator, suggest a new direction for electronic and spintronic applications for the future.

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Analysis of cracks emanating from a circular hole in an orthotropic infinite plate (直交 異方性 無限平版 內部의 圓孔周圍 龜裂 解析)

  • 정성균;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.6
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    • pp.895-903
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    • 1987
  • This paper investigates the problem of cracks emanating from a circular hole in an orthotropic infinite plate. The mixed-mode stress intensity factors are obtained by using the modified mapping-collocation method. To investigate the effect of anisotropy and circular hole boundary on crack tip singularity, stress intensity factors are considered as functions of the normalized crack length for various types of laminated composite. The results indicate a strong dependence of the stress intensity factor on the material anisotropy and geometry.

Volume Integral Expressions for Numerical Computation of the Dynamic Energy Release Rate (동적(動的)에너지 방출율(放出率)의 수치해석(數値解析)을 위한 체적적분식(體積積分式))

  • Koh, Hyun Moo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.3
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    • pp.65-73
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    • 1989
  • Continuum formulations for the expressions of dynamic energy release rates and computational methods for dynamic stress intensity factors are developed for the analysis of dynamic fracture problems subjected to stress wave loading. Explicit volume integral expressions for instantaneous dynamic energy release rates are derived by modeling virtual crack extensions with the dynamic Eulerian-Lagrangian kinematic description. In the finite element applications a finite region around a crack-tip is modeled by using quarter-point singular isoparametric elements, and the volume integrals are evaluated for each crack-tip element during virtual crack extensions while the singularity is maintained. It is shown that the use of the present method is more reliable and accurate for the dynamic fracture analysis than that of other path-independent integral methods when the effects of stress waves are significant.

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해수환경에서 강 용접부의 환경강도평가에 관한 연구 1

  • 정세희;김태영;나의균
    • Journal of Welding and Joining
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    • v.6 no.2
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    • pp.56-63
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    • 1988
  • The effects of PWHT (poste weld heat treatment) and stress simulating the residual stress during PWHT in weld HAZ of low and high strength steels on corrosion fatigue crack growth were evaluated. The obtained results are summarized as follows. 1. Fatigue crack growth rate of HAZ in air and 3.5% NaCl solution was slower than that of parent due to the signgularity in weld HAZ. 2. In the case of HT-80, 3.5% NaCl solutio nacts to accelerate the crack growth for all specimens, and the sensitivity of as-weld to corrosion environment was the greatest among other PWHT specimens. 3. Corrosion fatigue crack growth of parent, as-weld and PWHT speciments ofr SS41 as well as SM53B was retarded in comparison with the fatigue crack growth in air. 4. There was a tendency that crack growth of PWHT specimens subjected $10kg/mm^2$ was faster than that of PWHT specimens without stress during PWHT. 5. The retardation phenomenon of crack growth in corrosion environment is attributed to the crack branching decreased .DELTA.K due to the corrosion products and multi-cracks.

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