SCALING OF LOW-VELOCITY IMPACT RESPONSE IN COMPOSITE STRUCTURES

The characterization and commissioning of composite structures for impact resistance requires extensive analytical, computational and experimental studies. It is usually necessary that scaled model tests are carried out that represent real structure behavior as much as possible. Reliable methods are thus required that provide accurate scaling rules for dynamic similarity between models and prototypes. This paper presents a general similitude method for scaling the low-velocity impact response of different composite structures. It is demonstrated that impact cases or situations in different structures having the same set of three non-dimensional parameters will be dynamically similar, and have the same normalized impact response despite being different with respect to their type, boundary conditions, materials and size. In cases of simple structures, such as rods, beams and plates with standard boundary conditions, the parameters can be obtained analytically. In cases of complex structures and boundary conditions, either finite element simulations or simple physical experiments can be carried out to measure the necessary parameters. It is expected that the proposed similitude rules will help researchers to optimize their resources for parametric and experimental studies.

[1]  Ahmet S. Yigit,et al.  Limits of asymptotic solutions in low-velocity impact of composite plates , 2007 .

[2]  Peter Eberhard,et al.  Simulation of Longitudinal Impact Waves Using Time Delayed Systems , 2004 .

[3]  S. H. Sutherland,et al.  Experimental verification of scaling laws for punch-impact-loaded structures , 1984 .

[4]  Wade C. Jackson,et al.  The Use of Impact Force as a Scale Parameter for the Impact Response of Composite Laminates , 1993 .

[5]  L. S. Sutherland,et al.  Scaling of impact on low fibre-volume glass–polyester laminates , 2007 .

[6]  Ahmet S. Yigit,et al.  On the impact of a spherical indenter and an elastic-plastic transversely isotropic half-space , 1994 .

[7]  Ahmet S. Yigit,et al.  Characterization of impact in composite plates , 1998 .

[8]  John Morton,et al.  The impact resistance of composite materials — a review , 1991 .

[9]  Stephen R. Swanson,et al.  Limits of quasi-static solutions in impact of composite structures , 1992 .

[10]  Wesley J. Cantwell,et al.  Scaling Effects in the Low Velocity Impact Response of Fiber-Metal Laminates , 2008 .

[11]  John Morton,et al.  Scaling of impact-loaded carbon-fiber composites , 1988 .

[12]  B. Sankar Scaling of Low-Velocity Impact for Symmetric Composite Laminates , 1992 .

[13]  Ahmet S. Yigit,et al.  EFFECT OF FLEXIBILITY ON LOW VELOCITY IMPACT RESPONSE , 1998 .

[14]  Ik Hyeon Choi,et al.  Low-velocity impact analysis of composite laminates using linearized contact law , 2004 .

[15]  Rj Nuismer,et al.  Response of Composite Plates to Quasi-Static Impact Events , 1991 .

[16]  Stephen R. Swanson,et al.  Analytical and experimental strain response in impact of composite cylinders , 1991 .

[17]  R. J. Nuismer,et al.  An Experimental Study of Scaling Rules for Impact Damage in Fiber Composites , 1990 .

[18]  Laurent Guillaumat,et al.  Scale effects on the response of composite structures under impact loading , 2008 .

[19]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[20]  Serge Abrate,et al.  Impact on Laminated Composites: Recent Advances , 1994 .

[21]  R. Olsson Impact Response of Orthotropic Composite Plates Predicted from a One-Parameter Differential Equation , 1992 .