Analytical modeling to predict the low velocity impact response of circular GLARE fiber–metal laminates

Influence of the Metal Volume Fraction on the maximum deflection and impact load of GLARE plates subjected to low velocity impact

“…Here, the basic employed equations from reference [7] for our calculations are presented. These equations have been validated by comparisons with experimental data [6,7]. For large plate deflections, the impact load during loading is given by: …”

“…It is noted that the final deflection is equal to the permanent dent depth caused by the impact on the GLARE plate [6]. Analytical expressions to calculate max o w and f o w can be found in reference [7]. The coefficients K p and K el are as follows [6][7][8]:…”

“…At this point, due to the elastic strain energy of the prepreg layers, which have been stretched during the loading stage, the plate starts to move toward the opposite direction, until the impact load P becomes equal to zero. Using a spring-mass model, the differential equations of motion corresponding to this physical phenomenon were derived in reference [6] and solved in reference [7]. Here, the basic employed equations from reference [7] for our calculations are presented.…”

“…Using a spring-mass model, the differential equations of motion corresponding to this physical phenomenon were derived in reference [6] and solved in reference [7]. Here, the basic employed equations from reference [7] for our calculations are presented. These equations have been validated by comparisons with experimental data [6,7].…”

“…Hoo Fatt et al [5] employed a spring-mass model to predict the ballistic response of clamped square GLARE panels. In two articles by Tsamasphyros and Bikakis, the differential equations of motion, corresponding to the impact of a hemispherical impactor striking on a circular clamped GLARE plate, were derived using a spring-mass model as well [6] and solved [7].…”