Impact analysis of laminated composite plates and shells by super finite elements

Abstract A super finite element method that exhibits coarse-mesh accuracy is used to predict the transient response of laminated composite plates and cylindrical shells subjected to non-penetrating impact by projectiles. The governing equations are based on the classical theories of thin laminated plates and shells taking into account the von Karman kinematics assumptions for moderately large deflections. A non-linear Hertzian-type contact law accounting for curvatures of the colliding bodies is adopted to calculate the impact force . The theoretical basis of the present finite element model is verified by analysing impact-loaded laminated composite plate and shell structures that have previously been studied through analytical or other numerical procedures. The predictive capability of the present numerical approach is successfully demonstrated through comparisons between experimentally-measured and computed force-time histories for impact of carbon fibre-reinforced plastic (CFRP) plates. The current computational model offers a relatively simple and efficient means of predicting the structural impact response of laminated composite plates and shells.

[1]  J. Hansen,et al.  FINITE ELEMENT ANALYSIS OF THE IMPACT RESPONSE OF COMPOSITE PLATES AND SHELLS , 1993 .

[2]  George S. Springer,et al.  Impact Induced Stresses, Strains, and Delaminations in Composite Plates , 1988 .

[3]  C. Sun,et al.  Dynamic response of anisotropic laminated plates under initial stress to the impact of a mass , 1975 .

[4]  C. Sun,et al.  Dynamic large deflection response of composite laminates subjected to impact , 1985 .

[5]  C. Sun,et al.  Use of Statical Indentation Laws in the Impact Analysis of Laminated Composite Plates , 1985 .

[6]  C. K. Pai,et al.  Geometrical nonlinear analysis of composite cylindrical shell panels subjected to impact , 1993 .

[7]  D. Delfosse,et al.  Instrumented Impact Testing at High Velocities , 1993 .

[8]  David A. Hills,et al.  Mechanics of elastic contacts , 1993 .

[9]  S. R. Swanson,et al.  Analysis of Simply-Supported Orthotropic Cylindrical Shells Subject to Lateral Impact Loads , 1990 .

[10]  Sr Swanson,et al.  Lateral Impact of Composite Cylinders , 1989 .

[11]  S. Abrate Impact on Laminated Composite Materials , 1991 .

[12]  T. S. Koko,et al.  Nonlinear transient response of stiffened plates to air blast loading by a superelement approach , 1991 .

[13]  Reza Vaziri,et al.  Analytical Solution for Low-Velocity Impact Response of Composite Plates , 1996 .

[14]  R. L. Ramkumar,et al.  Dynamic Response of Curved Laminated Plates Subjected to Low Velocity Impact , 1987 .

[15]  Stephen R. Swanson,et al.  A comparison of solution techniques for impact response of composite plates , 1990 .

[16]  C. Sun,et al.  On the Impact of Initially Stressed Composite Laminates , 1985 .

[17]  W. Bachrach,et al.  Mixed finite-element method for composite cylinder subjected to impact , 1989 .

[18]  Fu-Kuo Chang,et al.  Transient dynamic analysis of laminated composite plates subjected to transverse impact , 1989 .

[19]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[20]  M. D. Olson Efficient modelling of blast loaded stiffened plate and cylindrical shell structures , 1991 .

[21]  J. Whitney,et al.  Shear Deformation in Heterogeneous Anisotropic Plates , 1970 .

[22]  A. L. Dobyns,et al.  Analysis of Simply-Supported Orthotropic Plates Subject to Static and Dynamic Loads , 1981 .