In the present investigation the higher-order and conventional first-order shear deformation theories are used to study the impact response of doubly curved laminated composite shells. The formulation is based on the Donnell's shallow shell theory. Nine noded Lagrangian elements are used for the finite element formulation. Modified Hertzian contact law is used to calculate the contact force. The results obtained from the present investigation are compared with those existed in the open literature. Numerical results are presented to study the effects of span to thickness ratio, boundary condition, impact point, stacking sequence and velocity of the impactor for cylindrical and spherical shells.
1. Christoforou, A.P. and S. R. Swanson. 1990. 'Analysis of Simply Supported Orthotropic Cylindrical Shells Subjected to Lateral Impact Loads,"J. of Appl. Mech., 57:376-382.
2.
2. Lin, H. J. and Y. J. Lee. 1990. "Impact-Induced Fracture in Laminated Plates and Shells,"J. Comp. Mater, 24:1179-1199.
3.
3. Bachrach, W. E. and R. S. Hansen. 1989. "Mixed Finite-Element Method for Composite Cylinder Subjected to Impact,"AIAA J., 27(5):632-638.
4.
4. Lin, H. J. and Y. J. Lee. 1990. "Use of Statical Indentation Laws in the Impact Analysis of Composite Laminated Plates and Shells,"J. of Appl. Mech., 57:787-789.
5.
5. Maiti, Dipak K. and P. K. Sinha. "Finite Element Impact Analysis of Doubly Curved Laminated Composite Shells,"J. of Reinforced Plastics and Composites (Accepted).
6.
6. Yang, S. H. and C. T. Sun. 1982. "Indentation Law for Composite Laminates,"Composite Materials: Testing and Design, ASTM STP 787, American Society for Testing and Materials, 425-449.
7.
7. Tan, T. M. and C. T. Sun. 1985. "Use of Statical Indentation Laws in the Impact Analysis of Laminated Composite Plates,"J. of App. Mech., 52:6-12.
8.
8. Maiti, Dipak K. and P. K. Sinha. 1994. "Bending and Free Vibration Analysis of Shear Deformable Laminated Composite Beams by Finite Element Method,"Comp. Struct., 29(4):421-431.
9.
9. Maiti, Dipak K. and P. K. Sinha. "Bending, Free Vibration and Impact Response of Thick Laminated Composite Plates,"Comput. and Struct. (Accepted).
10.
10. Qatu, M. S. and A. W. Leissa. 1991. "Natural Frequencies for Cantilevered Doubly-Curved Laminated Composite Shallow Shells,"Comp. Struct., 17:227-255.
11.
11. Reddy, J. N.1984. "Exact Solutions of Moderately Thick Laminated Shells,"J. Engng. Mech. Div., ASCE, 110.794-809.
12.
12. Pagano, N. J.1970. "Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates,"J. of Comp. Mater., 4:20-34.
13.
13. Goldsmith, W.1960. "Impact: The Theory and Physical Behavior of Colliding Solids,"London: Edward Arnold (Publishing) Ltd.
14.
14. Sun, C. T. and J. K. Chen. 1985. "On the Impact of Initially Stressed Composite Laminates", J. of Comp. Mater., 19:490-504.
15.
15. Cairns, D. S. and P. A. Lagace. 1989. "Transient Response of Graphite/Epoxy and Kevlar/Epoxy Laminates Subjected to Impact,"AIAA J., 27(11):1590-1596.
