An efficient numerical method to analyze low‐velocity impact response of carbon fiber reinforced thermoplastic laminates

Abstract

Low velocity impact behavior of carbon fiber reinforced thermoplastic laminates are analyzed in this article. Governing equations are derived based on the first‐order shear deformation theory and Hamilton's principle. The impact contact force history between the impactor and laminate is formulated by the Hertzian contact law. A Ritz‐based solution in space domain for various boundary conditions is developed. Solutions of the system equations in time domain are solved by the Newmark's time integration scheme. Impact parameters such as impact force history, indentation history, and contact time are considered. The accuracy of this method is validated by comparing the obtained results with those from the ABAQUS/Explicit software simulation. The effects of impact velocity, plate geometrical parameters, stacking sequence, and temperature on the dynamic response of laminates under clamped boundary condition and support boundary condition were discussed.

Research on the Mechanical Properties and Stretch Forming Simulation of Triaxial Geogrid with Different Pre-Punched Hole Diameters

“…Algorithms in Abaqus CAE include the explicit algorithm and implicit algorithm. Compared with the implicit algorithm, the explicit algorithm is more suitable for dynamic analysis, as there is no need for equilibrium iteration, and the calculation speed is faster [26][27][28]. Therefore, the explicit algorithm is suitable for the numerical simulation analysis of geogrid stretch forming.…”

A non-linear Ritz method for the analysis of low velocity impact induced dynamics in variable angle tow composite laminates

“…Additional useful information about the effects of different fibres orientations on the impactinduced plate response is reported in Figs. (16)(17)(18) for [0 ± ⟨θ A /θ B ⟩] 3S laminates and in Figs. (19)(20)(21) for [90 ± ⟨θ A /θ B ⟩] 3S configurations, in terms of maximum contact force versus θ A (or θ B ) for fixed θ B (or θ A ).…”

“…The impact-induced dynamical response of composite plates has been investigated by several authors employing different technique, e.g. analytical solutions [9,10], Fourier series expansions [11][12][13], the Ritz method [14][15][16][17][18] or finite element modelling [19][20][21][22][23][24][25]. Such investigations are generally based on: i ) the employment of the first order shear deformation theory and the assumption of small deflections for modelling the plate mechanics; ii ) the assumption of specific contact laws for modelling the impact loading; iii ) neglecting the effect of the impact-induced damage on the structural dynamic response.…”

A Strain Rate Dependent Damage Model for Evaluating the Dynamic Response of CFRTP Laminates with Different Stacking Sequence

“…Carbon fiber reinforced thermoplastic (CFRTP) laminates have considerable potential for lightweight use in electronic shields, aerospace, automotive, wind energy and marine due to their high specific stiffness and strength, corrosion resistance, fatigue performance and recyclability [1][2][3]. In structural applications, CFRTP laminates are inevitably exposed to the low velocity dynamic loading condition such as tool dropping, debris impact, and bird impact [4].…”