Abstract
Dynamic propagation phenomena of interfacial cracks in composite laminated structures are investigated. The structural modeling is developed by means of a finite element formulation based on a plane stress behavior, whereas the crack growth is predicted by a Fracture Mechanics approach. In order to simulate the dynamic crack growth, the proposed modeling utilizes a fracture toughness criterion based on the energy release rate (ERR) and the corresponding mode components. The ERR is evaluated by means of the decomposition methodology of the J-integral expression, which is proposed in the framework of the dynamic crack propagation. The change of the geometry, produced by the crack advance, is taken into account by means of a moving mesh strategy based on an Arbitrary Lagrangian-Eulerian (ALE) formulation. In particular, the governing equations are formulated on a fixed referential system, taking in account for the coupling effects between the moving mesh finite element formulation and the dynamic propagation of interfacial cracks. This procedure is able to avoid distorted mesh elements and thus the evaluation of the invoked fracture parameters is properly carried out. Comparisons with experimental results are reported to validate the proposed modeling. Moreover, a parametric study is developed to investigate some features regarding of the crack tip behavior, such as crack arrest phenomena, allowable tip speeds and rate dependence of the interfacial crack growth.
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E.J. Barbero, Finite Element Analysis of Composite Materials, CRC, Boca Raton, FL (2007)
J.L. Tsai, C. Guo, C.T. Sun, Dynamic delamination fracture toughness in unidirectional polymeric composites. Compos. Sci. Technol. 61(1), 87–94 (2001)
K. Ravi-Chandar, Dynamic Fracture (Elsevier, Amsterdam/London, 2004)
L.B. Freund, Dynamic Fracture Mechanics (Cambridge University Press, Leyden, 1990)
K. Ravi-Chandar, W.G. Knauss, An experimental investigation into dynamic fracture: I. Crack initiation and arrest. Int. J. Fract. 25, 247–262 (1984)
J.W. Hutchinson, Z. Suo, Mixed mode cracking in layered materials. In Advances in Applied Mechanics, vol. 29, ed. by J.W. Hutchinson, T.Y. Wu (Academic Press, New York, NY, 1992), pp. 63–191
D. Bruno, F. Greco, P. Lonetti, Dynamic mode i and mode ii crack propagation in fiber reinforced composites. Mech. Adv. Mater. Struct. 16, 442–455 (2009)
F. Greco, P. Lonetti, Mixed mode dynamic delamination in fiber reinforced composites. Compos. B. Eng. 40(5), 379–392 (2009)
J. Lambros, A.J. Rosakis, Dynamic decohesion of bimaterials: Experimental observations and failure criteria. Int. J. Solids. Struct. 32, 2677–2702 (1995)
A. J. Rosakis, O. Samudrala, R.P. Singh, A. Shukla, Intersonic crack propagation in bimaterial systems. J. Mech. Phy. Solids. 46, 1789–1814 (1998)
K. Ravi-Chandar, Dynamic fracture of nominally brittle materials. Int. J. Fract. 90(1), 83–102 (1998)
G. Yagwa, Y. Sakai, Y. Ando, in Fast Fracture and Crack Arrest, vol. 627, ed. by G.T. Hahnand, M.F. Kanninen (ASTMSTP, Philadelphia, PA, 1977), pp. 109–122
P.N.R. Keegstra, J.L. Head, C.E. Turner, in Numerical Methods in Fracture Mechanics, ed. by A.R.L. Moore, D.R.J. Owen (University College, Swansea, 1978), pp. 634–647
M.F. Kanninen, C.H. Papelar, Advanced Fracture Mechanics (Oxford University Press, New York, NY, 1985)
D. Xie, S.B. Biggers, Calculation of transient strain energy release rates under impact loading based on the virtual crack closure technique. Int. J. Impact. Eng. 34(6), 1047–1060 (2007)
A. Corigliano, S. Mariani, A. Pandolfi, Numerical analysis of rate-dependent dynamic composite delamination. Compos. Sci. Technol. 66, 766–775 (2006)
L. Iannucci, Dynamic delamination modelling using interface elements. Comput. Struct. 84, 1029–1048 (2006)
H.M. Koh, R.B. Haber, Formulation of the Eulerian-Lagrangian kinematic description. J. Appl. Mech. 53, 839–845 (1986)
T. Nishoka, S.N. Atluri, Computational Methods in the Mechanics of Fracture, ed. by S.N. Atluri (Elsevier Science Publishers, NewYork, NY, 1986), pp. 335–383.
T. Nishioka, The state of the art in computational dynamic fracture mechanics. JSME Int. J. Ser. A 37(4), 313–333 (1994)
J. Donea, A. Huerta, J.P.H. Ponthot, A. Rodrıguez-Ferran, In Arbitrary Lagrangian-Eulerian Methods Encyclopedia of Computational Mechanics, eds. E. Stein, R. de Borst, T. Hughes John (Wiley & Sons, New York, 2004)
R.H. Rigby, M.H. Aliabadi, Decomposition of the mixed-mode J-integral-revisited. Int. J. Solids. Struct. 35, 2073–2099 (1998)
T. Nishioka, H. Tokudome, M. Kinoshita, Dynamic fracture-path prediction in impact fracture phenomena using moving finite element method based on Delaunay automatic mesh generation. Int. J. Solids. Struct. 38, 5273–5301 (2001)
A.R. Shahani, M.R. Amini Fasakhodi, Finite element analysis of dynamic crack propagation using remeshing technique. Mater. Des. 30, 1032–1041 (2008)
Comsol, Reference Manual (Comsol AB, Stockholm, 2007)
J.P. Ponthot, T. Belytschko, Arbitrary Lagrangian-Eulerian formulation for element-free Galerkin method. Comput. Methods Appl. Mech. Eng. 152, 19–46 (2001)
C. Guo, C.T. Sun, Dynamic mode-I crack-propagation in a carbon/epoxy composite. Compos. Sci. Technol. 58, 1405–1410 (1998)
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Bruno, D., Greco, F., Lonetti, P. (2010). Dynamic Crack Propagation in Composite Structures. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Materials with Complex Behaviour. Advanced Structured Materials, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12667-3_5
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