Abstract

This paper presents a simple analytical model of the dynamic response of a structure subjected to a low speed impact, in order to predict global damage. The model is based on thick plate theory developed by Reddy and takes into account the through thickness shear. An indentation law based on the theory of Hertz is determined experimentally to model the local response. A numerical integration method is used to calculate the contact force versus time, by combining the indentation with the dynamic response of the structure. The validation has been performed by comparing results with measurements obtained on a falling weight set-up, and a satisfactory correlation is obtained. This model leads to the identification of parameters inducing damage. The modal damping coefficient is taken into account.

Highlights

  • The impact is one of the main and most damaging causes of laminated materials

  • It has been observed that when composite plates are subjected to impact loading, two types of damage need to be considered: local damage involving crushing beneath the impactor, and global damage revealed by cracks due to flexure of the plate

  • In order to study these different types of damage, which depend on both the lay-up and material properties of the constituents and the boundary conditions, finite element (FE) methods, can be applied [3,4,5,6]

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Summary

Introduction

The impact is one of the main and most damaging causes of laminated materials (monolithic or sandwiches). For composite materials laminated panel type or sandwich, internal induced damage may become severe and weaken the structure. In order to study these different types of damage, which depend on both the lay-up and material properties of the constituents and the boundary conditions, finite element (FE) methods, can be applied [3,4,5,6]. This study aims at analysing the global displacement modes arising from overloads occurring at locations away from the impacted zones. This should facilitate the preliminary design of composite plates without having to utilize costly numerical methods. A parametric study was performed to study the influence of the dimensions of the plate and the mechanical properties of the material on the dynamic response

Theory of thick laminated plates
Strain field
Stress field
Principle of the method
Dynamic response
Calculation of the transverse displacement of the plate
Application
Localized loading
Contact force
Dynamic analysis of a thick monolithic plate
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