Damage-Coupled Progressive Failure and Yield Line Analyses of Metal Plates
Publication: Journal of Engineering Mechanics
Volume 132, Issue 5
Abstract
Continuum damage mechanics based progressive failure analysis of an aluminum alloy AL2024-T3 plate has been carried out. Isotropic continuum damage mechanics model proposed by Chandrakanth and Pandey in 1995 has been implemented in a nonlinear finite element computational scheme based on damage-coupled and damage-uncoupled elastoplastic constitutive relationship. In order to model the progressive growth of damage and plasticity from extreme fibers toward the neutral axis, discrete layered approach has been adopted in the formulation using Ahmed’s degenerate isoparametric shell element, which accounts for shear deformation. A critical damage criteria is used for determining the onset and propagation of failure in the plate. Damage-coupled and damage-uncoupled analyses have been carried out on rectangular and triangular plates of aluminum alloy Al2024-T3. Yield line patterns have been generated using extensive nonlinear progressive failure analysis and comparison with conventional yield line analysis has been made. It is envisioned that employing the methodology presented herein, yield line pattern generation for structural components with complex shapes can be obtained, which would significantly assist engineers in analysis and design of structures.
Get full access to this article
View all available purchase options and get full access to this article.
References
Ahmed, S., Irons, B. M., and Zienkiewicz, O. C. (1970). “Analysis of thick and thin shell structures by curved finite elements.” Int. J. Numer. Methods Eng., 2, 419–451.
Chaboche, J. L. (1979). “Le concept de contrainte effective appliquee a l’elasticite et a viscoplasticite en presence d’un endommagement anisotrope.” Colloquium Euromech 115, Grenoble.
Chaboche, J. L. (1981). “Continuum damage mechanics—A tool to describe phenomenon before crack initiation.” Nucl. Eng. Des., 64, 233–247.
Chaboche, J. L. (1988). “Continuum damage mechanics: Part I: General concepts.” J. Appl. Mech., 55, 59–64.
Chandrakanth, S. (1996). “Application of continuum damage mechanics to ductile damage phenomena.” Ph.D. thesis, Civil Engineering Dept. Indian Institute of Science, India.
Chandrakanth, S., and Pandey, P. C. (1995). “An isotropic damage model for ductile material.” Eng. Fract. Mech., 50(4), 457–465.
Chow, C. L., and Lu, T. J. (1989). “On evolution laws of anisotropic damage.” Eng. Fract. Mech., 34(3), 679–701.
Chow, C. L., and Wang, J. (1987). “An anisotropic theory of elasticity for continuum damage mechanics.” Int. J. Fract., 33, 3–16.
Figueiras, J. A., and Owen, D. R. J. (1984). “Analysis of elasto plastic and geometrically non-linear anisotropic plates and shells.” Finite element softwares for plates and shells, E. Hinton and D. R. J. Owen, eds., Pineridge Press Ltd., Swansea, U.K.
Germain, P., Nguyen, Q. S., and Suquet, P. (1983). “Continuum thermodynamics.” J. Appl. Mech., 50, 1010–1020.
Kachanov, L. M. (1958). “On time to rupture in creep conditions.” Izv. AN SSSR, OTN, 26–31.
Krajcinovic, D. (1979). “Distributed damage theory of beams in pure bending.” Trans. ASME, J. Appl. Mech., 46(3), 592–596.
Krajcinovic, D. (1985). “Continuum damage mechanics revisited: Basic concepts and definitions.” J. Appl. Mech., 52, 829–834.
Lee, H., Peng, K., and Wang, J. (1985). “An anisotropic criterion for deformation instability and its applications to metal forming limit analysis of metal plates.” Eng. Fract. Mech., 21, 1031–1054.
Lemaitre, J. (1984). “How to use damage mechanics.” Nucl. Eng. Des., 80, 237–245.
Lemaitre, J. (1985). “A continuum damage mechanics model for ductile fracture.” J. Eng. Mater. Technol., 107, 83–89.
Lemaitre, J. (1996). A course on damage mechanics, Springer, Berlin, Germany.
Owen, D. R. J., and Figueiras, J. A. (1983). “Anisotropic elasto-plastic finite element analysis of thick and thin plates and shells.” Int. J. Numer. Methods Eng., 19, 1–26.
Park, R., and Gamble, W. L. (2000). Reinforced concrete slabs, Wiley, New York.
Reissner, E. (1945). “The effect of transverse shear deformation on the bending of elastic plates.” J. Appl. Mech., 12, 69–77.
Sidoroff, F. (1975). “On the formulation of plasticity and viscoplasticity with internal variables.” Arch. Mech., 27(5–7), 195–216.
Simo, J. C., and Ju, J. W. (1987). “Strain- and stress-based codamage models—i formulations, ii-computational aspects.” Int. J. Solids Struct., 23(7), 821–869.
Tai, W. H. (1990). “Plastic damage and ductile fracture in mild steel.” Eng. Fract. Mech., 37(4), 853–880.
Thakkar, B. K., Chandrakanth, S., and Pandey, P. C. (2003). “Damage coupled elasto-plastic finite element analysis of plates and shells.” Structural Engineering Convention SEC-2003, S. K. Bhattacharyya, ed., Kharagpur, India, 377–390.
Tiejun, W. (1991). “A continuum damage model for ductile fracture of weld heat affected zone.” Eng. Fract. Mech., 40(6), 1075–1082.
Tiejun, W. (1992). “Unified continuum damage mechanics model and local criterion for ductile fracture ii, ductile fracture, local criterion based on cdm model.” Eng. Fract. Mech., 42(1), 185–193.
Wang, J., and Chow, C. L. (1989). “Subcritical crack growth in ductile fracture with continuum damage mechanics.” Eng. Fract. Mech., 33(2), 309–317.
Zheng, M., Luo, Z. J., and Zheng, X. (1992). “A new damage model for ductile materials.” Eng. Fract. Mech., 41(1), 103–110.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 5 • May 2006
Pages: 487 - 497
Copyright
© 2006 ASCE.
History
Received: Mar 31, 2004
Accepted: Nov 23, 2004
Published online: May 1, 2006
Published in print: May 2006
Notes
Note. Associate Editor: Majid T. Manzari
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.