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Deformation and failure of thin plates of mild steel were studied under quasi-static and dynamic impact loadings. Particular emphasis was placed on responses of simply supported circular plates subjected to centric orthogonal loadings. The latter comprised loadings due to relatively massive rigid cylindrical strikers with a hemispherical-end as well as a flat-end. The projectile motions featured variable and low impact velocities. Generally, good agreement was found between experimental results and those predicted by finite-element techniques for displacement-time curves and for force histories of the striker. It was concluded that the ABAQUS-based study (both the implicit and the explicit versions) revealed beneficial insights into the impact mechanics of plates by rigid projectiles.



Thin plate FEM Orthogonal impact Quasi-static

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How to Cite
Aljawi, A. A. (2004). Plastic Deformation of Thin Plates Subjected to Quasi-Static and Dynamic Loadings. The Journal of Engineering Research [TJER], 1(1), 59–74.


  1. Aljawi, A. A., 1999, “Penetration and Failure of Thin Plates Subjected to Impact Loading,” Third International Conf. on Shock & Impact Loads on Structures 99”, 24-26 November, 42-50, 1999, Singapore.
  2. Awerbush, J., and Bonder, S. R., 1974, “Analysis of the Mechanics of Perforation of Projectiles in Metallic Plates,” Int. J. Solid Structures. Vol. 10, 671-684.
  3. Bammann, D. J., Chjiesa, M. L., Horstemeeyer, M. F., and Weigaten, L. T, 1993æ “Failure in Ductile Materials Using Finite Element Methods, Structural Crashworthiness and Failure”, Ed N. Jones, and
  4. Wierzbick, Elsevier Applied Science, London and NewYork, 1-54.
  5. Beckman, M. E., and Goldsmith, W., 1978,“The Mechanics of Penetration of Projectiles into Targets,” Int. J. Engng. Sci, Vol. 16, 1-99.
  6. Corbett, G. G., and Reid, S. R.,1993, ”Quasi-Static and Dynamic Local Loading of Monolithic Simply Supported Steel Plate,” Int. J. Impact. Engng. Vol. 13, No. 3. pp. 423-441.
  7. Corbett, G. G., Reid, S. R., and Johnson, W., 1997, “Impact Loading of Plates and Shells by Free-Flying Projectiles: a Review,” Int. J. Impact Engng, Vol. 18, No. 2, 141-230.
  8. Corran, R. S. J., Shadbolt, P. J., and Ruiz, C., 1993, “Impact Loading of Plates an Experimental Investigation,” Int. Impact Engng, Vol. 1, No. 1, 3-22.
  9. Davies, G. A. O., 1984a, ”Structural Impact and Crashworthiness,” Volume 1, Elsevier Applied Science Publishers, London and New York.
  10. Davies, G. A. O., 1984b, ”Structural Impact and Crashworthiness,” Volume 2, Elsevier Applied Science Publishers, London and New York.
  11. Goldsmith, W., 1972, “Impacts,” Edward Arnold, London.
  12. HKS, Inc., 1994, “Application of Implicit and Explicit Finite Element Techniques to Metal Forming,” J. Mater.
  13. Process. Techno., 45, pp. 649-656.
  14. HKS, Inc, 1998, “ABAQUS/Explicit User’s Manual, Theory and examples manuals and Post Manual,Version 5.8, Explicit,”.
  15. Jones, N., 1989, “Structural Impact,” Cambridge University Press.
  16. Jones. N, 1983, “Structural Aspect of Ship collisions,” In Structural Crashworthiness, Chapter 11, pp. 308 337 (Edited by N. Jones and wierzbicki). Butterworth.
  17. Jones. N., Birch., S,E., Birch., C, S., Xhu, L., and Brown, M., 1992, “An Experimental Study on the Lateral Impact of Fully Clamped Mild Pipes,” Proc. Inst.
  18. Mech. Engrs., Vol. 206 (E), 111-127.
  19. Jones, N., and Shen, W. Q., 1993, “Criteria for the Inelastic Rupture of Ductile Metal Beams Subjected to Large Dynamic Load,” Structural Crashworthiness and failure, Ed. N Jones and T. Wierzbicki, Elsevier Applied Science Publishers, London and New York, 95-130.
  20. Kormi, K., Shaghoueie., and Duddell, D.A., 1994, “Finite Element Examination of Dynamic Response of Clamped Beam Grillages Impacted Transversely at their Center by a Rigid mass,” Int. J., Impact Engng, Vol. 15, No. 5, 687-697.
  21. Kormi, K., Webb, D. C., and Etheridge, R. A.E., 1993, “The Use of FEM to Evaluate the Response of Damaged Pipes- Part 1-Static Loading ‘, PVP-Vol. 264, Piping, Support and Structural Dynamics, 147-158,
  22. ASME.
  23. Kormi, K., and Webb, D. C., 1993, “The Use of FEM to Evaluate the Response of Damaged Pipes- Part 2-Dynamic Loading ‘, PVP-Vol. 264, Piping, Support and Structural Dynamics, 159-167, ASME.
  24. Langsen, M., and Larson, P. K., 1990, “Dropped Object Plugging Capacity of Steel Plates: an Experimental
  25. Investigation,’ Int. J. Impact Engng, Vol. 9, No. 3, 289- 316.
  26. Reid, S. R., 1985, “Metal Forming and Impact mechanics,” Pergamon Press Ltd.
  27. Shen, W. Q., and Jones, N., 1993,“Dynamic response of a Grillage Under Mass Impact,” Int. J. Impact Engng, Vol. 123, 555-565.
  28. Su, X. Y., Yu, T. X., and Reid, S. R., 1995, “Inertia- Sensitivity Impact Energy-Absorbing Structures. Part II: Effect of Strain Rate,” Int. J. Impact. Engng, Vol. 16, No. 4, pp. 673 689.
  29. Sun, J. S., Lee, K. H., and Lee, H.P., 2000, “ Comparison of Implicit and Explicit finite Element Methods for Dynamic Problems,” J. Mater. Process. Technology, 105, pp. 110-118.
  30. Symonds, P. S., 1965, “Viscoplastic Behavior in response of Structures to Dynamic Loading,” Behavior of Materials Under Dynamic Loading (Ed by N. J., Huffington), 106-124, SME, New York.
  31. Wen, H.M, and Jones, N., 1993, “Experimental Investigation of the Scaling Laws for Metal Plates Struck by Large Masses,” Int. J. Impact. Engng, Vol.13, No. 3, pp. 485-505.
  32. Wen, H. M., and Jones, N., 1994, “Experimental Investigation into the Dynamic plastic response and Perforation of a clamped Circular Plate Struck Transversely by a Mass,” Proc. Ints. Mech. Engrs, I.
  33. Mech. E., Vol. 208, 113-137.
  34. Zhao, X. L., and Grzebieta, 2000, ”Structural Failure and Plasticity,” Proceedings of the 7th Int. Sym. On Structual Failure and Plasticity, IMPLAST 2000, Pergamon.