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  • Open Access

    REVIEW

    A Review on Finite Element Alternating Methods for Analyzing 2D and 3D Cracks

    Jai Hak Park*

    Digital Engineering and Digital Twin, Vol.2, pp. 79-101, 2024, DOI:10.32604/dedt.2024.047280 - 25 March 2024

    Abstract A finite element alternating method has been known as a very convenient and accurate method to solve two and three-dimensional crack problems. In this method, a general crack problem is solved by a superposition of two solutions. One is a finite element solution for a finite body without a crack, and the other is an analytical solution for a crack in an infinite body. Since a crack is not considered in a finite element model, generating a model is very simple. The method is especially very convenient for a fatigue crack growth simulation. Over the More >

  • Open Access

    ABSTRACT

    A Paris Law-Based Cohesive Zone Model for Fatigue Crack Growth Simulations

    Akiyuki Takahashi1,*, Takaki Fujiwara1, Yuichi Shintaku2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.22, No.4, pp. 170-170, 2019, DOI:10.32604/icces.2019.05151

    Abstract This paper presents a Paris law-based cohesive zone model (CZM) for fatigue crack growth simulations to enable the consideration of the plasticity induced crack closure effect, which is known to be a source of substantial crack growth retardation. In order to avoid the addition of any redundant model parameters, the basic equation of the CZM is derived from the Paris law so that the CZM has only the parameters of Paris law. Thus, the parameters can be determined by referring the existing experimental data of the Paris law without any troublesome fitting processes. Only the More >

  • Open Access

    ABSTRACT

    Configurational Forces in Three-Dimensional Crack Loading Analyses and Crack Growth Simulations

    Kevin Schmitz1,*, Paul Judt1, Andreas Ricoeur1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.21, No.1, pp. 12-12, 2019, DOI:10.32604/icces.2019.05164

    Abstract In order to evaluate cracks in three-dimensional (3D) specimens, it is necessary to perform crack loading analyses. Loading quantities are calculated, employing the distribution of stress and strain in the vicinity of the crack front. In thin planar structures with plane mode I/II loading, analyses at simplified two-dimensional boundary value problems provide sufficiently accurate loading quantities. However, for an increasing thickness or presence of mode III loading, the plane assumptions in general lose their validity. Three-dimensional structures exhibit spatial stresses, leading to a non-constant stress distribution along the crack front and to non-uniform crack front… More >

  • Open Access

    ARTICLE

    Crack Growth Simulation in Integrally Stiffened Structures Including Residual Stress Effects from Manufacturing. Part II: Modelling and Experiments Comparison

    S.M.O. Tavares1, S.M. Häusler2, P.M. Baiz3, P.M.S.T. de Castro1, P. Horst2 , M.H. Aliabadi3

    Structural Durability & Health Monitoring, Vol.7, No.3, pp. 191-210, 2011, DOI:10.3970/sdhm.2011.007.191

    Abstract This article is the second part of a two parts paper which presents, compares and discusses the different crack growth simulation models which were introduced for fatigue crack growth assessment during the DaToN project. In the first part, different simulation approaches were applied to determine a calibration of the stress intensity factors as a function of the crack length for a two stiffeners panel with a central crack. Due to the residual stress field promoted by the different manufacturing processes, its influence was included in the numerical models to determine the stress intensity factors. In… More >

  • Open Access

    ARTICLE

    Crack Growth Simulation in Integrally Stiffened Structures Including Residual Stress Effects from Manufacturing. Part I: Model Overview

    S.M. Häusler1, P.M. Baiz2, S.M.O. Tavares3, A. Brot4, P. Horst1, M.H. Aliabadi2, P.M.S.T. de Castro3, Y. Peleg-Wolfin4

    Structural Durability & Health Monitoring, Vol.7, No.3, pp. 163-190, 2011, DOI:10.3970/sdhm.2011.007.163

    Abstract This article represents the first part of a two-part article which presents, compares and discusses the different crack growth simulation models which were introduced for fatigue crack growth assessment during the DaToN project. The project was funded by the EC within the 6th framework program and was specifically devoted to investigate innovative manufacturing techniques for metallic structures with special focus on the effects of residual stresses on the fatigue crack growth and residual strength behaviour. Within this first part the different simulation approaches, including the residual stress modelling approaches will be introduced and stress intensity… More >

  • Open Access

    ARTICLE

    Experimental and Numerical Investigation of 3D Mixed-Mode Crack Problems in Structures

    H.A. Richard1, M. Fulland2, G. Kullmer1, N.-H. Schirmeisen1

    Structural Durability & Health Monitoring, Vol.6, No.3&4, pp. 161-188, 2010, DOI:10.3970/sdhm.2010.006.161

    Abstract Fracture processes in real structures are in many cases of a three dimensional (3D) character. In this paper some basic problems of 3D-fracture processes are considered and discussed, in particular for general mixed-mode loading conditions, when modes I and II and III are superimposed. For experimental investigations an AFM-specimen is under consideration, while numerical simulations are carried out with the program ADAPCRACK3D. More >

  • Open Access

    ABSTRACT

    Fatigue Crack Growth Simulation using S-version FEM

    M. Kikuchi1, Y. Wada2, A. Utsunomiya3, Y. Li4

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.8, No.2, pp. 67-72, 2008, DOI:10.3970/icces.2008.008.067

    Abstract Fatigue crack growth under mixed mode loading conditions is simulated using S-FEM. By using S-FEM technique, only local mesh should be re-meshed and it becomes easy to simulate crack growth. By combining with auto-meshing technique, local mesh is re-meshed automatically, and curved crack path is modeled easily. Three dimensional surface crack problem is solved by this technique. Pure mode I crack and slant crack problems are solved, and fatigue crack growth processes are simulated. The change of aspect ratio of surface crack and distributions of stress intensity factor along crack front are evaluated and discussed. More >

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