Abstract
Progressive failure analysis of laminated composite cylindrical shells subjected to internal pressure is carried out based on continuum damage mechanics. The state of distributed microscopic damage is modeled as the damage variable in the irreversible thermodynamic formulation. The damage tensor for composite material accounts for the breakage of fibers, matrix cracking in perpendicular to the fiber direction. The damaged constitutive modeling is formulated by the assumption of strain energy equivalence. The damage analysis of composite shells is carried out using C0 continuous degenerated shell element which uses 3D continuum properties to reduce thickness degrees of freedom onto the surface in terms of rotations. Selective reduced integration is employed. In the present paper, brittle damage analysis of composite shell is investigated by implementing plane stress conditions into the damage evolution functions and assuming the damage distribution to be linear across the thickness of the shells. The nonlinear governing equations are solved using Newton–Raphson iterative technique to trace the equilibrium path. Examples have been presented to apply the employed model for composite shell problems.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Krajcinovic, D. (1996). Damage mechanics (Vol. 41). Elsevier.
Lemaitre, J., & Desmorat, R. (2005). Engineering damage mechanics: Ductile, creep, fatigue and brittle failures. Springer Science & Business Media.
Voyiadjis, G. Z., & Kattan, P. I. (2005). Damage mechanics. CRC Press.
Zhang, W., & Cai, Y. (2010) Continuum damage mechanics and numerical applications. Springer Science & Business Media.
Dumont, J. P., Ladeveze, P., Poss, M., & Remond, Y. (1987). Damage mechanics for 3-D composites. Composite Structures, 8(2), 119–141.
Ladeveze, P., & Le Dantec, E. (1992). Damage modelling of the elementary ply for laminated composites. Composite Science and Technology, 43, 257–267.
Talreja, R. (1985). A continuum mechanics characterization of damage in composite materials. In Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences (Vol. 399, No. 1817, pp. 195–216). The Royal Society.
Voyiadjis, G Z., Venson, A. R., Abu-Alrub, R. K. (2012). Advances in damage mechanics: Metals and metal matrix composites. Elsevier.
Matzenmiller, A., Lubliner, J., & Taylor, R. L. (1995). A constitutive model for anisotropic damage in fiber-composites. Mechanics of Materials, 20, 125–152.
Barbero, E. J., & De Vivo, L. (2001). A constitutive model for elastic damage in fiber-reinforced PMC laminae. International Journal of Damage Mechanics, 10(1), 73–93.
Allix, O., Ladeveze, P., & Vittecoq, E. (1994). Modelling and identification of the mechanical behavior of composite laminates in compression. Composites Science and Technology, 51, 35–42.
Barbero, E. J. (2011). Finite element analysis of composite materials. CRC Press.
Barbero, E. J., & Lonetti, P. (2001). Damage model for composites defined in terms of available data. Journal of Composite Materials, 4(8), 299–315.
Lonetti, P., Zinno, R., Greco, F., & Barbero, E. J. (2003). Interlaminar damage model for polymer matrix composites. Journal of Composite Materials, 37(16), 1485–1504.
Kennedy, T. C., & Nahan, M. F. (1996). A simple nonlocal damage model for predicting failure of notched laminates. Composite Structures, 35(2), 229–236.
Goyal, V. K., Jaunky, N. R., Johnson, E. R., & Ambur, D. R. (2004). Intralaminar and interlaminar progressive failure analyses of composite panels with circular cutouts. Composite Structures, 64(1), 91–105.
Robbins, D. H., Jr., Reddy, J. N., & Rostam-Abadi, F. (2005). An efficient continuum damage model and its application to shear deformable laminated plates. Mechanics of Advanced Materials and Structures, 12(6), 391–412.
Gupta, A. K., Patel, B. P., & Nath, Y. (2012). Continuum damage mechanics approach to composite laminated shallow cylindrical/conical panels under static loading. Composite Structures, 94(5), 1703–1713.
Gupta, A. K., Patel, B. P., & Nath, Y. (2013). Continuum damage modeling of composite laminated plates using higher order theory. Composite Structures, 99, 141–151.
Krishnamoorty, C. S. (1994). Finite element analysis: Theory and programming. Mc Graw Hill.
Panda, S., & Natarajan, R. (1981). Analysis of laminated composite shell structures by finite element method. Computers & Structures, 14(3–4), 225–230.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Kintada, M., Singh, A.K. (2019). Failure Analysis of Composite Cylindrical Shells Using Continuum Damage Mechanics. In: Rao, A., Ramanjaneyulu, K. (eds) Recent Advances in Structural Engineering, Volume 1. Lecture Notes in Civil Engineering , vol 11. Springer, Singapore. https://doi.org/10.1007/978-981-13-0362-3_39
Download citation
DOI: https://doi.org/10.1007/978-981-13-0362-3_39
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-0361-6
Online ISBN: 978-981-13-0362-3
eBook Packages: EngineeringEngineering (R0)