Sage Journals: Discover world-class research

Abstract

This analytical study is concerned with the free vibration, forced vibration, low velocity impact response as well as impact induced first ply failure of delaminated composite shells. It is based on a simple multiple delamination modeling which can take care of any arbitrary number and size of delaminations placed at any location of the laminate. Sander's shallow shell theory is applied for the shell analysis. First order shear deformation theory in conjunction with an eight noded isoparametric quadratic delaminated shell element with five degrees of freedom per node are used to develop the finite element formulation. Newmark's time integration algorithm is employed for solving the time dependent multiple equations of the plate and the impactor. Tsai-Wu failure criterion is used to predict the first ply failure of a laminate due to impact at every time step. Numerical results are generated for different cases by varying the size and location of delaminations as well as the stacking sequences. It is observed that the delaminations reduce the natural frequencies and increase the dynamic displacements. Critical impactor velocity to cause the first ply failure in a laminate is also reduced in the presence of a delamination.

Keywords

composites composite shells displacement shear deformation finite element analysis isoparametric multiple delaminations stacking sequence impact ply failure

Get full access to this article

View all access options for this article.

References

Ramkumar, R. K.

S. V. Kulkami

and

R. B. Pipes

. 1979. "Free Vibration Frequencies of aDelaminated Beam,"34thAnnual Technical Conference Proceedings, Reinforced/Composite Inst., Society of Plastics Industry Inc., Section 22-E, 1-5.

Cawley, P.

and

R. D. Adams

. 1979. "A Vibration Technique for Non-Destructive Testing of Fibre Composite Structures,"J. of Composite Materials, 13: 171-175.

Tracy, J. J.

and

G. C. Pardoen

. 1989. "Effect of Delamination on the Natural Frequencies of Composite Laminates,"J of Composite Materials, 23: 1200-1215.

Paolozzi, A.

and

I. Peroni

. 1990. "Detection of Debonding Damage in a Composite Plate through Natural Frequency Variations,"J. Reinf, Plast. and Compos., 9: 369-389.

Shen, M. H. H.

and

J. E. Grady

. 1992. "Free Vibrations of Delaminated Beams,"AIAA Journal, 30: 1361-1370.

Tenek, L. H.

E. G. Hennekell

and

M. D. Gunzburger

. 1993. "Vibration of Delaminated Composite Plates and Some Applications to Non-Destructive Testing,"Composite Struct., 23: 253-262.

Krawczuk, M.

W. Ostachowicz

and

A. Zal

. 1997. "Dynamics of Cracked Composite Material Structures,"Computational Mechanics, 20: 79-83.

Parhi, P. K.

S. K. Bhattacharyya

and

P. K. Sinha

. 1999. "Finite Element Dynamic Analysis of Laminated Composite Plates with Multiple Delaminations,"J Reinf Plast. and Compos., 19: 863-882.

Tan, T. M.

and

C. T. Sun

. 1985. "Use of Statical Indentation Laws in the Impact Analysis of Laminated Composite Plates,"J Appl. Mech., 52: 6-12.

10.

Cairns, D. S.

and

P. A. Lagace

. 1989. "Transient Response of Graphite/Epoxy and Kevlar/Epoxy Laminates Subjected to Impact,"AJAA Journal, 27: 1590-1596.

11.

Lin, H. J.

and

Y J. Lee

. 1990. "Impact-Induced Fracture in Laminated Plates and Shells,"J of Composite Materials, 24: 1179-1199.

12.

Wu, H. T.

and

G. S. Springer

. 1988. "Measurements of Matrix Cracking and Delamination Caused by Impact on Composite Plates,"J of Composite Materials, 22: 518-532.

13.

Wu, H. T.

and

G. S. Springer

. 1988. "Impact Induced Stresses, Strains and Delaminations in Composite Plates,"J of Composite Materials, 22: 533-560.

14.

Finn, S. R.

and

G. S. Springer

. 1991. Composite Plates Impact Damage, Technomic Publishing Co., Inc., Lancaster, PA.

15.

Maiti, D. K.

and

P. K. Sinha

. 1996. "Bending, Free Vibration and Impact Response of Thick Laminated Composite Plates,"Comput. and Struct., 59: 115-129.

16.

Karmakar, A.

and

P. K. Sinha

. 1998. "Finite Element Transient Dynamic Analysis of Laminated Composite Pretwisted Rotating Plates Subjected to Impact,"InternationalJ of Crashworthiness, 3:379-391.

17.

Cook, R. D.

D. S. Malkus

and

M. E. Plesha

. 1989. Concepts andApplications of Finite Element Analysis, John Wiley and Sons, New York.

18.

Yang, S. H.

and

C. T. Sun

. 1982. "Indentation Law for Composite Laminates,"Composite Materials: Testing and Design, ASTM STP 787, 425-449.

19.

Tsai, S. W.

and

H. T. Hahn

. 1980. Introduction to Composite Materials, Technomic Publishing Co., Inc., Lancaster, PA.

Dynamic Behavior and Impact Induced First Ply Failure of Multiple Delaminated Composite Shells

Abstract

Keywords

Get full access to this article

References