Dynamic Simulation of Multiple Offset-Edge Crack of a Finite Plate

An extended finite-element method allows modeling the crack by the standard finite-element method without explicitly defining and meshing of the crack. This paper presents the extended finite-element approach for the prediction of the failure loads, fracture toughness for multiple-edge crack configurations using virtual crack closer technique, and cohesive approach for extensively used aircraft material. Experiments are performed considering the different edge crack configurations to validate the predicted extended finite-element results. The finite-element prediction of failure load and fracture toughness show good agreement with experimental results. Typical numerical results are presented to examine the effect of crack inclination angle, relative position of crack and material properties on failure load, and fracture toughness of a finite alloy plate. Based on extended finite-element and experimental results, mathematical models for estimation of failure load and fracture toughness for multiple-edge cr...

[1]  N. Chandra,et al.  Analysis of crack growth and crack-tip plasticity in ductile materials using cohesive zone models , 2003 .

[3]  M. Benzeggagh,et al.  Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus , 1996 .

[4]  F. Erdogan,et al.  On the Crack Extension in Plates Under Plane Loading and Transverse Shear , 1963 .

[5]  Alireza Asadpoure,et al.  Modeling crack in orthotropic media using a coupled finite element and partition of unity methods , 2006 .

[6]  T. Diehl Using ABAQUS Cohesive Elements to Model Peeling of an Epoxy-bonded Aluminum Strip: A Benchmark Study for Inelastic Peel Arms , 2006 .

[7]  Masayuki Kamaya,et al.  Influence of interaction between multiple cracks on stress corrosion crack propagation , 2002 .

[8]  Masayuki Kamaya,et al.  Growth evaluation of multiple interacting surface cracks. Part I: Experiments and simulation of coalesced crack , 2008 .

[9]  Ted Diehl,et al.  Modeling Surface-Bonded Structures with ABAQUS Cohesive Elements: Beam-Type Solutions , 2004 .

[10]  P. Camanho,et al.  Mixed-Mode Decohesion Finite Elements for the Simulation of Delamination in Composite Materials , 2002 .

[11]  G. C. Sih,et al.  Discussion: ‘Some observations on Sih's strain energy density approach for fracture prediction’, by I. Finnie and H. O. Weiss , 1974 .

[12]  A. Needleman,et al.  The simulation of dynamic crack propagation using the cohesive segments method , 2008 .

[13]  Alireza Asadpoure,et al.  Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method , 2007 .

[14]  M. H. Aliabadi,et al.  Three-dimensional BEM analysis for fatigue crack growth in welded components , 1997 .

[15]  S. K. Maiti,et al.  Experimental and finite element studies on mode I and mixed mode (I and II) stable crack growth—II. finite element analysis , 1990 .

[16]  M. J. Pavier,et al.  Prediction of the growth rate for fatigue cracks emanating from cold expanded holes , 2004 .

[17]  Seokwon Jeon,et al.  An experimental and numerical study of fracture coalescence in pre-cracked specimens under uniaxial compression , 2011 .

[18]  Xing Zhang,et al.  A closed form solution about stress intensity factors of shear modes for 3-D finite bodies with eccentric cracks by the energy release rate method , 1999 .

[19]  Ted Belytschko,et al.  A method for dynamic crack and shear band propagation with phantom nodes , 2006 .

[20]  Xiangqiao Yan MULTIPLE CRACK FATIGUE GROWTH MODELING BY DISPLACEMENT DISCONTINUITY METHOD WITH CRACK-TIP ELEMENTS , 2006 .

[21]  Liyang Xie,et al.  A method for stress intensity factor calculation of infinite plate containing multiple hole-edge cracks , 2012 .

[22]  M. Liao,et al.  A New Stress Intensity Factor Solution for Cracks at an Offset Loaded Fastener Hole , 2010 .

[23]  P. C. Paris,et al.  Stress Analysis of Cracks , 1965 .

[24]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[25]  Eugenio Giner,et al.  An Abaqus implementation of the extended finite element method , 2009 .

[26]  Huajiang Ouyang,et al.  Modeling of fatigue crack propagation using dual boundary element method and Gaussian Monte Carlo method , 2010 .

[27]  Jinyang Zheng,et al.  Finite element analysis of postbuckling and delamination of composite laminates using virtual crack closure technique , 2011 .

[28]  Jose Luis Otegui,et al.  Numerical and experimental determination of three-dimensional multiple crack growth in fatigue , 2001 .

[29]  Ted Belytschko,et al.  Elastic crack growth in finite elements with minimal remeshing , 1999 .

[30]  De Xie,et al.  Progressive crack growth analysis using interface element based on the virtual crack closure technique , 2006 .

[31]  Ted Belytschko,et al.  Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions , 2010 .

[32]  Enrico Zio,et al.  Monte Carlo-based filtering for fatigue crack growth estimation , 2009 .

[33]  G. C. Sih,et al.  Mixed mode fatigue crack growth predictions , 1980 .

[34]  A. B. de Morais,et al.  Calculation of stress intensity factors by the force method , 2007 .