• Title/Summary/Keyword: Finite Fracture Mechanics

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A composite crack model for concrete based on meshless method

  • Lu, Xin-Zheng;Jiang, Jian-Jing;Ye, Lie-Ping
    • Structural Engineering and Mechanics
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    • v.23 no.3
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    • pp.217-232
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    • 2006
  • A crack model for the fracture in concrete based on meshless method is proposed in this paper. The cracks in concrete are classified into micro-cracks or macro-cracks respectively according to their widths, and different numerical approaches are adopted for them. The micro-cracks are represented with smeared crack approach whilst the macro-cracks are represented with discrete cracks that are made up with additional nodes and boundaries. The widely used meshless method, Element-free Galerkin method, is adopted instead of finite element method to model the concrete, so that the discrete crack approach is easier to be implemented with the convenience of arranging node distribution in the meshless method. Rotating-Crack-Model is proved to be preferred over Fixed-Crack-Model for the smeared cracks of this composite crack model due to its better performance on mesh bias. Numerical examples show that this composite crack model can take advantage of the positive characteristics in the smeared and discrete approaches, and overcome some of their disadvantages.

Limit Loads for Pipe Bends under Combined Pressure and in-Plane Bending Based on Finite Element Limit Analysis (압력과 모멘트의 복합하중을 받는 곡관에 대한 유한요소 한계하중 해석)

  • Oh Chang-Sik;Kim Yun-Jae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.5 s.248
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    • pp.505-511
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    • 2006
  • In the present paper, approximate plastic limit load solutions fur pipe bends under combined internal pressure and bending are obtained from detailed three-dimensional (3-D) FE limit analyses based on elastic-perfectly plastic materials with the small geometry change option. The present FE results show that existing limit load solutions for pipe bends are lower bounds but can be very different from the present FE results in some cases, particularly for bending. Accordingly closed-form approximations are proposed for pipe bends under combined pressure and in-plane bending based on the present FE results. The proposed limit load solutions would be a basis of defective pipe bends and be useful to estimate non-linear fracture mechanics parameters based on the reference stress approach.

Suppression of interfacial crack for foam core sandwich panel with crack arrester

  • Hirose, Y.;Hojo, M.;Fujiyoshi, A.;Matsubara, G.
    • Advanced Composite Materials
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    • v.16 no.1
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    • pp.11-30
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    • 2007
  • Since delamination often propagates at the interfacial layer between a surface skin and a foam core, a crack arrester is proposed for the suppression of the delamination. The arrester has a semi-cylindrical shape and is arranged in the foam core and is attached to the surface skin. Here, energy release rates and complex stress intensity factors are calculated using finite element analysis. Effects of the arrester size and its elastic moduli on the crack suppressing capability are investigated. Considerable reductions of the energy release rates at the crack tip are achieved as the crack tip approached the leading edge of the crack arrester. Thus, this new concept of a crack arrester may become a promising device to suppress crack initiation and propagation of the foam core sandwich panels.

Shear Transfer across Cracks in Reinforced Concrete Members (RC 부재 균열면에서의 전단력 전달에 관한 고찰)

  • 홍성걸;하태훈
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.04a
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    • pp.527-532
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    • 2000
  • Cracks in reinforced concrete members are important element in structural analysis and design. It is clear from the test results that shear strength of cracked member is remarkably degraded compared with uncracked one. However, considerable amount of shear resistance by such mechanisms as aggregate interlock and dowel action is still active. There are various approaches to shear transfer estimation including finite element analysis, fracture mechanics, upper bound theory of plasticity, etc., but working out comprehensive and consistent models and manageable equations is rather difficult and remains to be improved. Shear transfer problems under cyclic loading and effective compressive strength of cracked concrete have not been adequately investigated and need further systematic research.

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Behaviour of Fatigue Crack Propagation under Mixed Mode(I+II) with variation of Crack Length (혼합모드(I+II)하에서 균열길이 변화에 따른 피로균열 전파 거동)

  • Jeong, Eui-Hyo;Hur, Bang-Soo;Kwon, Yun-Ki;Oh, Taek-Yul
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.182-187
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    • 2000
  • The application of fracture mechanics have traditionally concentrated on cracks leaded by tensile stresses, and growing under an opening or mode I mechanism. However, many cases of failures occur from growth of cracks subjected to mixed mode loading. Several criteria have been proposed regarding the crack growth direction under mixed mode loadings. This paper is aimed at prediction of fatigue crack growth behaviour under mixed mode(I+II) in two dimensional branched type precrack. In this paper, the maximum tangential stress(MTS) criterion was used to predict crack growth direction. Not only experiment but also finite element analysis(FEA) was carried out. The theoretical predictions were compared with experimental results in this paper

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A Study on the Fatigue Life Evaluation of Spot Welded Joints under Tensile-Shear Loading (인장-전단 하중을 받는 점용접부의 피로 수명 평가에 관한 연구)

  • Chung, K.;Kim, H.
    • Journal of Power System Engineering
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    • v.5 no.1
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    • pp.80-88
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    • 2001
  • The spot welding method has been used in the joining of structures, automotive body, railway carriage, aircraft, household electric appliances, precision parts etc., because of brief working, easy automation, available mass production, and convenience. In this paper, the effects of welding conditions on the fatigue life and the prediction of fatigue life based on fracture mechanics theory of spot welded joint were investigated. Fatigue tests were conducted with the tensile-shear specimens welded in the various current using cold rolled steel sheets. Fatigue life of spot welded joint was predicted and compared with experimental results. Using FEM(finite element method), we analysed the distribution of stress and the condition of deformation on the environments of nugget.

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Limit Loads for Pipe Bends under Combined Pressure and in-Plane Bending Based on Finite Element Limit Analysis (압력과 모멘트의 복합하중을 받는 곡관에 대한 유한요소 한계하중 해석)

  • Oh C.S.;Kim Y.J.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.401-402
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    • 2006
  • In the present paper, approximate plastic limit load solutions for pipe bends under combined internal pressure and bending are obtained from detailed three-dimensional (3-D) FE limit analyses based on elastic-perfectly plastic materials with the small geometry change option. The present FE results show that existing limit load solutions for pipe bends are lower bounds but can be very different from the present FE results in some cases, particularly for bending. Accordingly closed-form approximations are proposed for pipe bends under combined pressure and in-plane bending based on the present FE results. The proposed limit load solutions would be a basis of defective pipe bends and be useful to estimate non-linear fracture mechanics parameters based on the reference stress approach.

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Development of Automated J-Integral Analysis System for 3D Cracks (3차원 J적분 계산을 위한 자동 해석 시스템 개발)

  • 이준성
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.7
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    • pp.74-79
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    • 2000
  • Integrating a 3D solid modeler with a general purpose FEM code, an automatic nonlinear analysis system of the 3D crack problems has been developed. A geometry model, i.e. a solid containing one or several 3D cracks is defined. Several distributions of local node density are chosen, and then automatically superposed on one another over the geometry model by using the fuzzy knowledge processing. Nodes are generated by the bucketing method, and ten-noded quadratic tetrahedral solid elements are generated by the Delaunay triangulation techniques. The complete finite element(FE) model generated, and a stress analysis is performed. In this system, burden to analysts fur introducing 3D cracks to the FE model as well as fur estimating their fracture mechanics parameters can be dramatically reduced. This paper describes the methodologies to realize such functions, and demonstrates the validity of the present system.

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STUDY ON DYNAMIC BEHAVIOUR IN 3PB DUCTILE STEEL SPECIMEN APPLIED BY THE IMPACT LOAD

  • HAN M. S.;CHO J. U.;BERGMARK A.
    • International Journal of Automotive Technology
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    • v.6 no.3
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    • pp.229-234
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    • 2005
  • The dynamic crack growth in ductile steel is investigated by means of the impact loaded 3 point bending (3PB) specimens. Results from experiments and numerical simulations are compared to each other. A modified 3PB specimen designed with the reduced width at its ends has been developed in order to avoid the initial compressive loading of the crack tip and also to avoid the uncertain boundary conditions at the impact heads. Numerical simulations of the experiments are made by using a finite element method (FEM) code, ABAQUS. The high speed photography is used to obtain the crack growth and the data of the crack tip opening displacement (CTOD). The direct measurements of the relative rotations of two specimen halves are made by using the Moire interference pattern.

Analysis of fatigue crack growth behavior in composite-repaired aluminum plate (복합재 패치로 한쪽 면을 보강한 평판의 균열선단 진전거동 해석)

  • Lee Woo-Yong;Lee Jung-Ju
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2004.04a
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    • pp.241-245
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    • 2004
  • An analytical study was conducted to characterize the fatigue crack growth behavior of pre-cracked aluminum plates repaired with asymmetric bonded composite patch. For single-sided repairs, due to the asymmetry and the presence of out-of-plane bending, crack front shape would become skewed curvilinear started from a uniform through-crack profile, as observed from previous studies. In this study, the fatigue analysis of single-sided repairs considering crack front shape development was conducted by implementing three-dimensional successive finite element method coupled with linear elastic fracture mechanics (LEFM) concept, which enables the growing crack front to be directly traced and modeled in a step by step way. Through conducting present analysis technique, crack path of the patched plate as well as the fatigue life was evaluated with sufficient accuracy. The analytical predictions of both the crack front shape evolution and the fatigue life were in good agreement with the experimental observations.

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