Dynamic propagation phenomena of multiple delaminations in composite structures

Abstract A general model is proposed to predict dynamic propagation phenomena of interfacial cracks in laminated composite structures subjected to multiple delaminations. The model is based on a combined approach developed in the framework of Fracture Mechanics and moving mesh methodology. The former is utilized to predict the crack growth, whereas the latter defines the way to take into account the geometry changes on the basis of the invoked fracture parameters. Consistent with Fracture Mechanics, crack propagation depends on the energy release rate and its mode components, which are calculated by means of the decomposition methodology of the J-integral expression. The geometry variation, produced by the crack advance, is taken into account by means of a moving mesh strategy based on the Arbitrary Lagrangian–Eulerian (ALE) formulation. The crack tip motion is governed by prescribed speeds, which are expressed as function of a mixed mode crack criterion based on the energy release rate and its mode ratio. The coupling characters of the governing equations of the proposed model arising from the Fracture Mechanics and the moving mesh methodology are discussed. Comparisons with experimental results are reported to validate the proposed modeling. Moreover, a parametric study for single and multiple delamination problems, is developed to investigate some features regarding the crack tip behavior, such as dependence of the solution on the loading rates, the laminate geometry and the crack arrest phenomena.

[1]  C. Sun,et al.  Dynamic Mode-I crack-propagation in a carbon/epoxy composite , 1998 .

[2]  Glaucio H. Paulino,et al.  A unified potential-based cohesive model of mixed-mode fracture , 2009 .

[3]  W. Schmitt,et al.  Numerical Methods in Fracture Mechanics , 1987 .

[4]  Domenico Bruno,et al.  Dynamic Mode I and Mode II Crack Propagation in Fiber Reinforced Composites , 2009 .

[5]  Sören Östlund On numerical modeling and fracture criteria of dynamic elastic-viscoplastic crack growth , 1990 .

[6]  T. Belytschko,et al.  MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD , 2001 .

[7]  Thomas J. R. Hughes,et al.  Encyclopedia of computational mechanics , 2004 .

[8]  Fouad Zaittouni,et al.  Asymptotic modelling of interfaces taking contact conditions into account: Asymptotic expansions and numerical implementation , 2010 .

[9]  Robert B. Haber,et al.  Elastodynamic formulation of the Eulerian-Lagrangian kinematic description , 1986 .

[10]  H. Saunders,et al.  Advanced Fracture Mechanics , 1985 .

[11]  M. Aliabadi,et al.  Decomposition of the mixed-mode J-integral—revisited , 1998 .

[12]  Arun Shukla,et al.  Intersonic crack propagation in bimaterial systems , 1998 .

[13]  Satya N. Atluri,et al.  Computational methods in the mechanics of fracture , 1987, International Journal of Fracture.

[14]  Masahiro Kinoshita,et al.  Dynamic fracture-path prediction in impact fracture phenomena using moving finite element method based on Delaunay automatic mesh generation , 2001 .

[15]  John W. Hutchinson,et al.  Dynamic Fracture Mechanics , 1990 .

[16]  F. Greco,et al.  Mixed mode dynamic delamination in fiber reinforced composites , 2009 .

[17]  E. Barbero Finite element analysis of composite materials , 2007 .

[18]  A. Khoei,et al.  An extended arbitrary Lagrangian–Eulerian finite element modeling (X-ALE–FEM) in powder forming processes , 2007 .

[19]  Ted Belytschko,et al.  Arbitrary Lagrangian-Eulerian formulation for element-free Galerkin method , 1998 .

[20]  Raffaele Zinno,et al.  An analytical delamination model for laminated plates including bridging effects , 2002 .

[21]  Jia-Lin Tsai,et al.  Dynamic delamination fracture toughness in unidirectional polymeric composites , 2001 .

[22]  K. Ravi-Chandar,et al.  Dynamic Fracture of Nominally Brittle Materials , 1998 .

[23]  A. Rosakis,et al.  Dynamic decohesion of bimaterials: Experimental observations and failure criteria , 1994 .

[24]  Lorenzo Iannucci,et al.  Dynamic delamination modelling using interface elements , 2006 .

[25]  John W. Hutchinson,et al.  Analysis of high-strain-rate elastic-plastic crack growth , 1986 .

[26]  De Xie,et al.  Calculation of transient strain energy release rates under impact loading based on the virtual crack closure technique , 2007 .

[27]  E. Lorentz,et al.  A mixed interface finite element for cohesive zone models , 2008 .

[28]  A. Huerta,et al.  Arbitrary Lagrangian–Eulerian Methods , 2004 .