Abstract
In order to effectively describe the progressively intralaminar and interlaminar damage for composite laminates, a three dimensional progressive damage model for composite laminates to be used for low-velocity impact is presented. Being applied to three-dimensional (3D) solid elements and cohesive elements, the nonlinear damage model can be used to analyze the dynamic performance of composite structure and its failure behavior. For the intralaminar damage, as a function of the energy release rate, the damage model in an exponential function can describe progressive development of the damage. For the interlaminar damage, the damage evolution is described by the framework of the continuum mechanics through cohesive elements. Coding the user subroutine VUMAT of the finite element software ABAQUS/Explicit, the model is applied to an example, i.e., carbon fiber reinforced epoxy composite laminates under low-velocity impact. It is shown that the prediction of damage and deformation agrees well with the experimental results.
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Li, C. F. and Hu, N. Low-velocity impact-induced damage of continuous fiber-reinforced composite laminates, part I: an FEM numerical model. Composites Part A: Applied Science and Manufacturing, 33(8), 1055–1062 (2002)
Tan, S. C. A progressive failure model for composite laminates containing openings. Journal of Composite Materials, 25, 556–577 (1991)
Chang, F. C. K. A progressive damage model for laminated composites containing stress concentrations. Journal of Composite Materials, 21, 834–855 (1987)
Camanho, P. P. and Dávila, C. G. Mixed-Mode Decohesion Finite Elements for the Simulation of Delamination in Composite Material, NASA/TM-2002-211737, 1–37 (2002)
Cheng, X. Q. and Li, Z. N. Damage progressive model of compression of composite laminates after low-velocity impact. Appl. Math. Mech. -Engl. Ed., 26(5), 618–626 (2005) DOI 10.1007/BF 02466336
Zhang, Y. and Zhu, P. Finite element analysis of low-velocity impact damage in composite laminated plates. Materials & Design, 27(6), 513–519 (2006)
Pederson, J. Finite Element Analysis of Carbon Fiber Composite Ripping Using ABAQUS, Clemson University, Clemson (2006)
Hahin, Z. Failure criteria for unidirectional fiber composites. Journal of Applied Mechanics, 47(2), 329–335 (1980)
Wang, S. and Wu, L. Low-velocity impact and residual tensile strength analysis to carbon fiber composite laminates. Materials & Design, 31, 118–125 (2010)
David, W. Progressive Failure Analysis Methodology for Laminated Composite Structures, NASA/TP-1999-209107 (1999)
Lapczyk, I. and Hurtado, J. A. Progressive damage modeling in fiber-reinforced materials. Composites Part A: Applied Science and Manufacturing, 38(11), 2333–2341 (2007)
Linde, P. and Pleitner, J. Modelling and simulation of fibre metal laminates. ABAQUS Users’ Conference, Boston, USA, 421-439 (2004)
Gonzáez, E. V., Maimí, P., Camanbo, P. P., Turon, A., and Mayugo, J. A. Simulation of dropweight impact and compression after impact tests on composite laminates. Composite Structures, 94(11), 3364–3378 (2012
Dassault Systems. ABAQUS Version A. 6.8-1 User Documentation, Velizy-Villacoublay (2008)
Benzeggagh, M. L. and Kenane, M. Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus. Composites Science and Technology, 56(4), 439–449 (1996)
De Moura, M. F. S. F. and Gonļves, J. P. M. Modelling the interaction between matrix cracking and delamination in carbon-epoxy laminates under low-velocity impact. Composites Science and Technology, 64(7–8), 1021–1027 (2004)
De Moura, M. F. S. F. and Marques, A. T. Prediction of low-velocity impact damage in carbonepoxy laminates. Composites Part A: Applied Science and Manufacturing, 33(4), 361–368 (2002)
Lopes, C. S. and Camanho, P. P. Low-velocity impact damage on dispersed stacking sequence laminates, part II: numerical simulations. Composites Science and Technology, 69(7), 937–947 (2009)
Turon, A. and Camanho, P. P. Accurate simulation of delamination growth under mixed-mode loading using cohesive elements: definition of interlaminar strengths and elastic stiffness. Composite Structures, 92(8), 1857–1864 (2010)
Gonz, A., Lez, E. V., and Maim, I. P. Effects of ply clustering in laminated composite plates under low-velocity impact loading. Composites Science and Technology, 71(6), 805–817 (2011)
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Project supported by the National Natural Science Foundation of China (No. 11072202)
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Guo, W., Xue, P. & Yang, J. Nonlinear progressive damage model for composite laminates used for low-velocity impact. Appl. Math. Mech.-Engl. Ed. 34, 1145–1154 (2013). https://doi.org/10.1007/s10483-013-1733-7
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DOI: https://doi.org/10.1007/s10483-013-1733-7