Stress Intensity Factor for Dynamic Cracking of Composite Material by X-FEM Method
Authors: S. Lecheb, A. Nour, A. Chellil, H. Mechakra, N. Hamad, H. Kebir
Abstract:
The work involves develops attended by a numerical execution of the eXtend Finite Element Method premises a measurement by the fracture process cracked so many cracked plates an application will be processed for the calculation of the stress intensity factor SIF. In the first we give in statically part the distribution of stress, displacement field and strain of composite plate in two cases uncrack/edge crack, also in dynamical part the first six modes shape. Secondly, we calculate Stress Intensity Factor SIF for different orientation angle θ of central crack with length (2a=0.4mm) in plan strain condition, KI and KII are obtained for mode I and mode II respectively using X-FEM method. Finally from crack inclined involving mixed modes results, the comparison we chose dangerous inclination and the best crack angle when K is minimal.
Keywords: Stress Intensity Factor (SIF), Crack orientation, Glass/Epoxy, natural Frequencies, X-FEM.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1092846
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[1] Benzley, S.E. (1974) Representation of singularities with isoparametric finite elements. International Journal for Numerical Methods in Engineering, 8, 537–545.
[2] Atluri, S.N., Kobayashi, A.S. and Nakagaki, M. (1975b) An assumed displacement hybrid finite element model for linear fracture mechanics. International Journal of Fracture, 11(2), 257–271.
[3] Gifford, N.L. and Hilton, P.D. (1978) Stress intensity factors by enriched finite elements. Engineering Fracture Mechanics, 20, 485–296.
[4] Belytschko, T. and Black, T. (1999) Elastic crack growth in finite elements with minimal remeshing. International Journal of Fracture Mechanics, 45, 601–620.
[5] Moes, N., Gravouil, A. and Belytschko, T. (2002) Non-planar 3D crack growth by the extended finite element and level sets–Part I: Mechanical model. International Journal for Numerical Methods in Engineering, 53, 2549–2568.
[6] Griffith A.A. The Phenomena of Rupture and Flow in Solids. Philosophical Transactions of the Royal Society of London 1920, Vol. A-221:163-198.
[7] Irwin, GR. Analysis of stresses and strains near the end of a crack traversing a plate. Journal of Applied Mechanics 1957. 24: 361-364.
[8] Erdogane F , Paris P. A critical analysis of crack propagation laws 1963. Journal of Basic Engineering, Transaction of the American Society of Mechanical Engineers. p 528-534.
[9] Rice, JR. Plane strain deformation near a crack tip in a power law hardening material. Journal of the Mechanics and Physics of Solids 1968. vol.16: 1-12.
[10] Erdogan F and Civelek M. B. Crack problems for a rectangular sheet and infinite strip. Internationa l Journal of Fracture 1982. 19:139-159.
[11] Babuska I, Melenk J. The partition of unity method. International Journal for Numerical Methods in Engineering 1997. Vol. 40:727–758.
[12] Prabel, B., Marie, S. and Combescure, A. (2007) Using the X-FEM method to model the dynamic propagation and arrest of cleavage cracks in ferritic steel. Engineering Fracture Mechanics, 75(10), 2984–3009.
[13] Soheil Mohammadi. 2012 . XFEM Fracture Analysis of Composites, First Edition. John Wiley & Sons, Ltd. Published 2012 by John Wiley & Sons, Ltd.
[14] Dolbow, J.E. and Nadeau, J.C. (2002) On the use of effective properties for the fracture analysis of microstructured materials. Engineering Fracture Mechanics, 69, 1607–1634.
[15] Wells, and Barst. (2003) The condition of fast fracture in aluminium alloys with particular reference to comet failures. British Welding Research Association Report.
[16] Nagashima, T. and Suemasu, H. (2006) Stress analysis of composite laminates with delamination using XFEM. International Journal of Computational Methods, 3, 521–543.
[17] Bayesteh, H. and Mohammadi, S. (2012) Fracture analysis of orthotropic functionally graded materials by XFEM. Journal of Composites, Part B.
[18] Asadpoure, A., Mohammadi, S. and Vafai, A. (2006) Modeling crack in orthotropic media using a coupled finite element and partition of unity methods. Finite Elements in Analysis and Design, 42(13), 1165–1175.
[19] Asadpoure, A. and Mohammadi, S. (2007) A new approach to simulate the crack with the extended finite element method in orthotropic media. International Journal for Numerical Methods in Engineering, 69, 2150– 2172.