• Title/Summary/Keyword: cohesive element method

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Evaluation of Crack-tip Cohesive Laws for the Mode I Fracture of the Graphene from Molecular Dynamics Simulations (그래핀의 모드 I 균열에 대한 분자동역학 해석으로부터 균열 선단 응집 법칙의 평가)

  • Kim, Hyun-Gyu
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.26 no.5
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    • pp.393-399
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    • 2013
  • In this paper, a novel approach to estimate cohesive laws for the mode I fracture of the graphene is presented by combining molecular dynamic simulations and an inverse algorithm based on field projection method and finite element method. The determination of crack-tip cohesive laws of the graphene based on continuum mechanics is a non-trivial inverse problem of finding unknown tractions and separations from atomic simulations. The displacements of molecular dynamic simulations in a region far away from the crack tip are transferred to finite element nodes by using moving least square approximation. Inverse analyses for extracting unknown cohesive tractions and separation behind the crack tip can be carried out by using conservation nature of the interaction J- and M-integrals with numerical auxiliary fields which are generated by systematically imposing uniform surface tractions element-by-element along the crack surfaces in finite element models. The preset method can be a very successful approach to extract crack-tip cohesive laws from molecular dynamic simulations as a scale bridging method.

Fracture analysis of weld specimen using 3-dimensional finite element method (3차원 유한요소법을 이용한 용접시편의 파괴 해석)

  • Yang Seung-Yong;Goo Byeong-choon
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.385-390
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    • 2005
  • A specimen with residual stress due to welding was analyzed by three-dimensional cohesive zone model. The residual stress distribution was calculated by simulating welding process, and cohesive elements were located along crack propagation planes. Crack growth is possible since two planes of the cohesive element are separated beyond a maximum load carrying capacity. Stress fields around a crack tip are compared for specimens with and without residual stresses. Load-displacement curves and crack growth behaviors are also examined.

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Numerical Simulations of Crack Initiation and Propagation Using Cohesive Zone Elements (응집영역요소를 이용한 균열진전 모사)

  • Ha, Sang-Yul
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.6
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    • pp.519-525
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    • 2009
  • In this study a cohesive zone model was used to simulate the delamination phenomena which occurs by a successive crack initiation and propagation in composite laminates. The cohesive zone model was incorporated to the classical finite element method via cohesive element formulation and then implemented into the user-subroutine UEL of a commercial finite element program Abaqus. To validate the formulation and implementation of the cohesive element the finite element results were compared with the experimental data of double cantilever beam and end notched flexure tests. The numerical results well agree with the experimental load-displacement curves. Also the effect of the elastic stiffness and the size of the cohesive element on the global load-displacement curves were studied numerically. To minimize the mesh-dependency of the crack propagation path and eliminate the zig-zag patterns in the load-displacement curve, cohesive elements should be refined at the crack-tip.

A Study on the Effect of Cohesive Laws on Finite Element Analysis of Crack Propagation Using Cohesive Elements (응집 요소를 사용한 균열 진전 유한요소 해석에서 응집 법칙의 영향에 대한 연구)

  • Seo, Hyeong-Seok;Baek, Hyung-Chan;Kim, Hyun-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.4
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    • pp.401-407
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    • 2014
  • In this paper, the effect of cohesive laws on the finite element analysis of crack propagation using cohesive elements is investigated through three-point bending and double cantilever beam problems. The cohesive elements are implemented into ABAQUS/Standard user subroutines(UEL), and the shape of cohesive law is varied by changing parameters in polynomial functions of cohesive traction-separation relations. In particular, crack propagation behaviors are studied by comparing load-displacement curves of the analysis models which have different shapes of cohesive laws with the same values of fracture energy and cohesive strength. Furthermore, the influence of the element size on crack propagation is discussed in this study.

Two-Dimensional Model Analysis for Extended Finite Element Method(XFEM) Verification of General Purpose Finite Element Analysis Program (범용유한요소해석 프로그램의 확장유한요소법 성능 검증을 위한 2차원 모델 해석)

  • Lee, Young Hwan;Kim, Donghwan;Park, Jaegyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.4
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    • pp.199-206
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    • 2018
  • In this study, numerical analysis is applied to a two - dimensional model for verifying the general finite element program, Abaqus' s extended finite element method(XFEM). The cohesive element model used in the existing research has a limitation in simulating the actual crack because of the disadvantage that the crack path should be predicted and the element should be inserted. For this reason, the extended finite element method(XFEM), which predicts the path of cracks based on the directionality and specificity of stress, is emerging as a new solution in crack analysis. The validity of the XFEM application was confirmed by comparing the cohesive element analysis with the XFEM analysis by applying the crack path to the self - evident two - dimensional model. Numerical analysis confirms stress distribution and stress specificity immediately before crack initiation and compares it with actual crack initiation path. Based on this study, it is expected that cracks can be simulated by performing actual crack propagation analysis of complex models.

An Analysis on the Behaviors of a Noise & Vibration-Free Screw PHC Pile in cohesive Soils by Finite Element Code (점성토에서 유한요소해석에 의한 무소음.무진동 스크류PHC말뚝의 거동 분석)

  • Kim, Young-Pil;Ha, Young-Min;Jung, Ho-Young;Hwang, Jeong-Hwan;Choi, Young-Kyu
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.377-384
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    • 2009
  • Noise & vibration-free screw pile method is being developed for solution of noise and vibration problem in existing pile method. In this paper, prior to pilot test construction, conditions which a PHC pile and a screw PHC pile were constructed into ground were modeled by finite element code and through the parametric study in cohesive soils, the behaviors of two kinds of pile according to soil characteristics were compared.

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Prediction of through the width delamination growth in post-buckled laminates under fatigue loading using de-cohesive law

  • Hosseini-Toudeshky, Hossein;Goodarzi, M. Saeed;Mohammadi, Bijan
    • Structural Engineering and Mechanics
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    • v.48 no.1
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    • pp.41-56
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    • 2013
  • Initiation and growth of delamination is a great concern of designers of composite structures. Interface elements with de-cohesive constitutive law in the content of continuum damage mechanics can be used to predict initiation and growth of delamination in single and mixed mode conditions. In this paper, an interface element based on the cohesive zone method has been developed to simulate delaminatoin growth of post-buckled laminate under fatigue loading. The model was programmed as the user element and user material by the "User Programmable Features" in ANSYS finite element software. The interface element is a three-dimensional 20 node brick with small thickness. Because of mixed-mode condition of stress field at the delamination-front of post-buckled laminates, a mixed-mode bilinear constitutive law has been used as user material in this model. The constitutive law of interface element has been verified by modelling of a single element. A composite laminate with initial delamination under quasi-static compressive Loading available from literature has been remodeled with the present approach. Moreover, it will be shown that, the closer the delamination to the free surface of laminate, the slower the delamination growth under compressive fatigue loading. The effects of laminate configuration on delamination growth are also investigated.

Analysis and Application of Mechanical Clinched Joint Using Cohesive Zone Model (접착영역모델을 이용한 클린칭 접합부의 해석 모델 설계 및 적용)

  • Hwang, B.N.;Lee, C.J.;Lee, S.B.;Kim, B.M.
    • Transactions of Materials Processing
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    • v.19 no.4
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    • pp.217-223
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    • 2010
  • The objective of this study is to propose the FE model for mechanical clinched joint using cohesive zone model to analyze its failure behavior under impact loading. Cohesive zone model (CZM) is two-parameter failure criteria approach, which could describe the failure behavior of joint using critical stress and fracture toughness. In this study, the relationship between failure behavior of mechanical clinched joint and fracture parameters is investigated by FE analysis with CZM. Using this relationship, the critical stress and fracture toughness for tensile and shear mode are determined by H-type tensile test and lap shear test, which were made of 5052 aluminum alloy. The fracture parameters were applied to the tophat impact test to evaluate the crashworthiness. Compared penetration depth and energy absorption at the point where 50% of total displacement in result of FE analysis and experiment test for impact test, those has shown similar crashworthiness.

A boundary element approach for quasibrittle fracture propagation analysis

  • Tin-Loi, F.
    • Structural Engineering and Mechanics
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    • v.8 no.5
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    • pp.439-452
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    • 1999
  • A simple numerical scheme suitable for tracing the fracture propagation path for structures idealized by means of Hillerborg's classical cohesive crack model is presented. A direct collocation, multidomain boundary element method is adopted for the required space discretization. The algorithm proposed is necessarily iterative in nature since the crack itinerary is a priori unknown. The fracture process is assumed to be governed by a path-dependent generally nonlinear softening law. The potentialities of the method are illustrated through two examples.