This article deals with the dynamic response of thin circular clamped GLARE fiber—metal laminates subjected to low velocity impact by a lateral hemispherical impactor. Using a spring-mass model, the differential equations of motion corresponding to loading and unloading stages of impact are derived and solved numerically. Internal damage due to delamination is taken into account. Previously published analytical formulas1,2 concerning the indentation of circular GLARE plates are used during the loading stages of impact. In this study, an equation for the unloading path is derived and used during the unloading impact stage. The load—time, position—time, velocity—time, and kinetic energy—time history responses are calculated. In this regard, the position where delamination occurs, the maximum plate deformation and the position where the impact load becomes zero are predicted. Also, the maximum impact load and the total impact duration are determined. The derived differential equations of motion are applied for GLARE 4-3/2 and GLARE 5-2/1 circular plates subjected to low velocity impact. The predicted load—time history response is compared with published experimental data and a good agreement is found. No other solution of this problem is known to the authors.
INTRODUCTION GLARE is a Fibre-Metal Laminated material used in aerospace structures which are frequently subjected to various impact damages [1-5]. A high percentage of the total energy absorbed by GLARE plates during impacts is due to the static deformation of the plate [1, 6-7]. Hence, response of GLARE plates subjected to lateral indentation is very important as far as their overall impact behaviour is concerned. This paper deals with the static response of thin circular clamped GLARE fibre-metal laminated plates under the action of a lateral hemispherical indentor located at the centre of the plate. In reference [1] Vlot used an elastic-plastic impact model to solve this problem numerically assuming a deformation profile based on experimental data. Hoo Fatt et al. [6] used the principle of minimum potential energy to model analytically the response of fully clamped square GLARE panels assuming a deformation profile which resembles that of a stretched membrane. They also calculated the first failure load due to glass-epoxy tensile fracture. The objective of this paper is to develop an analytical model for the calculation of static load-indentation curve and the first failure due to glass-ep
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