Skip to main content
Log in

Continuum damage mechanics based modeling progressive failure of woven-fabric composite laminate under low velocity impact

  • Published:
Journal of Zhejiang University SCIENCE A Aims and scope Submit manuscript

Abstract

A continuum damage mechanics (CDM) meso-model was derived for both intraply and interply progressive failure behaviors of a 2D woven-fabric composite laminate under a transversely low velocity impact. An in-plane anisotropic damage constitutive model of a 2D woven composite ply was derived based on CDM within a thermodynamic framework, an elastic constitutive model with damage for the fibre directions and an elastic-plastic constitutive model with damage for the shear direction. The progressive failure behavior of a 2D woven composite ply is determined by the damage internal variables in different directions with appropriate damage evolution equations. The interface between two adjacent 2D woven composite plies with different ply orientations was modeled by a traction-separation law based interface element. An isotropic damage constitutive law with CDM properties was used for the interface element, and a damage surface which combines stress and fracture mechanics failure criteria was employed to derive the damage initiation and evolution for the mixed-mode delamination of the interface elements. Numerical analysis and experiments were both carried out on a 2D woven glass fibre/epoxy laminate. The simulation results are in agreement with the experimental counterparts, verifying the progressive failure model of a woven composite laminate. The proposed model will enhance the understanding of dynamic deformation and progressive failure behavior of composite laminate structures in the low velocity impact process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Allix, O., 2001. A composite damage meso-model for impact problems. Composites Science and Technology, 61(15): 2193–2205. [doi:10.1016/S0266-3538(01)00113-0]

    Article  Google Scholar 

  • Andrade Pires, F.M., de Souza Neto, E.A., Owen, D.R.J., 2004. On the finite element prediction of damage growth and fracture initiation in finitely deforming ductile materials. Computer Methods in Applied Mechanics and Engineering, 193(48–51):5223–5256. [doi:10.1016/j.cma.2004.01.038]

    Article  MATH  Google Scholar 

  • Aymerich, F., Dore, F., Priolo, P., 2008. Prediction of impact-induced delamination in cross-ply composite laminates using cohesive interface elements. Composites Science and Technology, 68(12):2383–2390. [doi:10.1016/j.compscitech.2007.06.015]

    Article  Google Scholar 

  • Borg, R., Nilsson, L., Simonsson, K., 2002. Modeling of delamination using a discretized cohesive zone and damage formulation. Composites Science and Technology, 62(10–11):1299–1314. [doi:10.1016/S0266-3538(02)00070-2]

    Article  Google Scholar 

  • Bouvet, C., Castanié, B., Bizeul, M., Barrau, J.J., 2009. Low velocity impact modelling in laminate composite panels with discrete interface elements. International Journal of Solids and Structures, 46(14–15):2809–2821. [doi:10.1016/j.ijsolstr.2009.03.010]

    Article  MATH  Google Scholar 

  • Choi, H.Y., Chang, F.K., 1992. A model for predicting damage in graphite/epoxy laminated composites resulting from low-velocity point impact. Journal of Composite Materials, 26(14):2134–2169. [doi:10.1177/002199839202601408]

    Article  Google Scholar 

  • Cui, H.P., Wen, W.D., Cui, H.T., 2009. An integrated method for predicting damage and residual tensile strength of composite laminates under low velocity impact. Computers & Structures, 87(7–8):456–466. [doi:10.1016/j.compstruc.2009.01.006]

    Article  Google Scholar 

  • de Moura, M.F.S.F., Goncalves, J.P.M., 2004. 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. [doi:10.1016/j.compscitech.2003.08.008]

    Google Scholar 

  • Donadon, M.V., Iannucci, L., Falzon, B.G., Hodgkinson, J.M., de Almeida, S.F.M., 2008. A progressive failure model for composite laminates subjected to low velocity impact damage. Computers & Structures, 86(11–12):1232–1252. [doi:10.1016/j.compstruc.2007.11.004]

    Article  Google Scholar 

  • Elmarakbi, A.M., Hu, N., Fukunaga, H., 2009. Finite element simulation of delamination growth in composite materials using LS-DYNA. Composites Science and Technology, 69(14):2383–2391. [doi:10.1016/j.compscitech.2009.01.036]

    Article  Google Scholar 

  • Fan, C., Jar, P.Y.B., Cheng, J.J.R., 2008. Cohesive zone with continuum damage properties for simulation of delamination development in fibre composites and failure of adhesive joints. Engineering Fracture Mechanics, 75(13):3866–3880. [doi:10.1016/j.engfracmech.2008.02.010]

    Article  Google Scholar 

  • Hochard, C., Aubourg, P.A., Charles, J.P., 2001. Modelling of the mechanical behaviour of woven-fabric CFRP laminates up to failure. Composites Science and Technology, 61(2):221–230. [doi:10.1016/S0266-3538(00)00199-8]

    Article  Google Scholar 

  • Hochard, C., Payan, J., Bordreuil, C., 2006. A progressive first ply failure model for woven ply CFRP laminates under static and fatigue loads. International Journal of Fatigue, 28(10):1270–1276. [doi:10.1016/j.ijfatigue.2006.02.024]

    Article  MATH  Google Scholar 

  • Hou, J.P., Petrinic, N., Ruiz, C., Hallett, S.R., 2000. Prediction of impact damage in composite plates. Composites Science and Technology, 60(2):273–281. [doi:10.1016/S0266-3538(99)00126-8]

    Article  Google Scholar 

  • Hou, J.P., Petrinic, N., Ruiz, C., 2001. A delamination criterion for laminated composites under low-velocity impact. Composites Science and Technology, 61(14):2069–2074. [doi:10.1016/S0266-3538(01)00128-2]

    Article  Google Scholar 

  • Hu, N., Zemba, Y., Okabe, T., Yan, C., Fukunaga, H., Elmarakbi, A.M., 2008. A new cohesive model for simulating delamination propagation in composite laminates under transverse loads. Mechanics of Materials, 40(11):920–935. [doi:10.1016/j.mechmat.2008.05.003]

    Article  Google Scholar 

  • Iannucci, L., 2006a. Progressive failure modelling of woven carbon composite under impact. International Journal of Impact Engineering, 32(6):1013–1043. [doi:10.1016/j.ijimpeng.2004.08.006]

    Article  Google Scholar 

  • Iannucci, L., 2006b. Dynamic delamination modelling using interface elements. Computers & Structures, 84(15–16):1029–1048. [doi:10.1016/j.compstruc.2006.02.002]

    Article  Google Scholar 

  • Iannucci, L., Willows, M.L., 2006. An energy based damage mechanics approach to modelling impact onto woven composite materials—Part I: Numerical models. Composites Part A: Applied Science and Manufacturing, 37(11):2041–2056. [doi:10.1016/j.compositesa.2005.12.013]

    Article  Google Scholar 

  • Johnson, A.F., 2001. Modelling fabric reinforced composites under impact loads. Composites Part A: Applied Science and Manufacturing, 32(9):1197–1206. [doi:10.1016/S1359-835X(00)00186-X]

    Article  Google Scholar 

  • Johnson, A.F., Holzapfel, M., 2006. Influence of delamination on impact damage in composite structures. Composites Science and Technology, 66(6):807–815. [doi:10.1016/j.compscitech.2004.12.032]

    Article  Google Scholar 

  • Johnson, A.F., Pickett, A.K., Rozycki, P., 2001. Computational methods for predicting impact damage in composite structures. Composites Science and Technology, 61(15):2183–2192. [doi:10.1016/S0266-3538(01)00111-7]

    Article  Google Scholar 

  • Ladeveze, P., LeDantec, E., 1992. Damage modelling of the elementary ply for laminated composites. Composites Science and Technology, 43(3):257–267. [doi:10.1016/0266-3538(92)90097-M]

    Article  Google Scholar 

  • Li, S., Reid, S.R., Zou, Z., 2006. Modelling damage of multiple delaminations and transverse matrix cracking in laminated composites due to low velocity lateral impact. Composites Science and Technology, 66(6):827–836. [doi:10.1016/j.compscitech.2004.12.019]

    Article  Google Scholar 

  • Mi, Y., Crisfield, M.A., Davies, G.A.O., Hellweg, H.B., 1998. Progressive delamination using interface elements. Journal of Composite Materials, 32(14):1246–1272. [doi:10.1177/002199839803201401]

    Google Scholar 

  • Nishikawa, M., Okabe, T., Takeda, N., 2007. Numerical simulation of interlaminar damage propagation in CFRP cross-ply laminates under transverse loading. International Journal of Solids and Structures, 44(10): 3101–3113. [doi:10.1016/j.ijsolstr.2006.09.007]

    Article  MATH  Google Scholar 

  • Salari, M.R., Saeb, S., Willam, K.J., Patchet, S.J., Carrasco, R.C., 2004. A coupled elastoplastic damage model for geomaterials. Computer Methods in Applied Mechanics and Engineering, 193(27–29):2625–2643. [doi:10.1016/j.cma.2003.11.013]

    Article  MATH  Google Scholar 

  • Sevkat, E., Liaw, B., Delale, F., Raju, B.B., 2009. Drop-weight impact of plain-woven hybrid glass-graphite/toughened epoxy composites. Composites Part A: Applied Science and Manufacturing, 40(8):1090–1110. [doi:10.1016/j.compositesa.2009.04.028]

    Article  Google Scholar 

  • Tserpes, K.I., Labeas, G., Papanikos, P., Kermanidis, T., 2002. Strength prediction of bolted joints in graphite/epoxy composite laminates. Composites Part B: Engineering, 33(7):521–529. [doi:10.1016/S1359-8368(02)00033-1]

    Article  Google Scholar 

  • Zhao, G.P., Cho, C.D., 2007. Damage initiation and propagation in composite shells subjected to impact. Composite Structures, 78(1):91–100. [doi:10.1016/j.compstruct.2005.08.013]

    Article  Google Scholar 

  • Zheng, S., Sun, C.T., 1995. A double-plate finite-element model for the impact-induced delamination problem. Composites Science and Technology, 53(1):111–118. [doi:10.1016/0266-3538(94)00079-4]

    Article  Google Scholar 

  • Zou, Z., Reid, S.R., Li, S., 2003. A continuum damage model for delaminations in laminated composites. Journal of the Mechanics and Physics of Solids, 51(2):333–356. [doi:10.1016/S0022-5096(02)00075-3]

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhi-gang Hu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hu, Zg., Zhang, Y. Continuum damage mechanics based modeling progressive failure of woven-fabric composite laminate under low velocity impact. J. Zhejiang Univ. Sci. A 11, 151–164 (2010). https://doi.org/10.1631/jzus.A0900368

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/jzus.A0900368

Key words

CLC number

Navigation