Modeling of impacts on composite structures

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Effects of ply clustering in laminated composite plates under low-velocity impact loading (2011, methodology): “The definition of the load due to the plate deflections Fo when dilatational waves are not important is given by the so-called complete analytical models [2, 26].”
Effect of the plastic hinge and boundary conditions on the impact behavior of reinforced concrete beams (2017, methodology): “The equations of motion can be written as [13]:   0 2 1 1 .”
Numerical simulation of impact tests on GFRP composite laminates (2011, background): “To this aim, quite simple closed-form solutions [11], easy to use and effective, but restricted to simple impact cases due to the underlying simplifying assumptions [7,11,12], have been often employed.”
Literature survey of contact dynamics modelling (2002, methodology): “We direct our readers to the relevant work by Shabana [52,53], Stronge [11] and Abrate [55,59].”
Identification of impact force for smart composite stiffened panels (2013, background): “As a rule of thumb, the deflection of thin-walled structures is large when it exceeds the thickness of the plate (Abrate 2001).”
Low-velocity impact failure of aluminium honeycomb sandwich panels (2008, methodology): “For low-velocity impacts which result in small amounts of damage, the energy required to create damage can be neglected [6].”