Stochastic impact responses analysis of functionally graded plates

Abstract

The present paper portrays the mapping for stochasticity in low-velocity impact responses of functionally graded material (FGM) plates by employing multivariate adaptive regression splines (MARS) surrogate model in conjunction with finite element (FE) approach. The unavoidable stochastic variabilities (caused due to numerous errors involved in manufacturing processes) in material properties of FGM plates are considered in order to map the effect of elemental variabilities on global response of the structure. The material properties of FGM plates are considered to follow the rule of mixture in conjunction to power law. The Newmark's time integration scheme and modified Hertzian contact law are employed to solve the timedependent equation. The present FE formulation is based on an eight noded isoparametric element in which each element has five degrees of freedom. The effects of variability in temperature and power-law exponent on stochastic low-velocity impact responses are also portrayed. The maximum contact force, plate and impactor displacement are considered as the response parameters. The present MARS model is coupled with the finite element to achieve the higher efficiency with adequate accuracy as compared to the FE-based full-scale Monte Carlo simulation. The statistical results illustrate that the stochasticity in material properties significantly influences the low-velocity impact responses of FGM plates.

Uncertain buckling characteristics of thermally loaded and internally defected variable fiber spacing composite laminates

“…The stochastic technique for forecasting randomness may add value to the uncertain response estimation. Karsh et al 45 employed the functionally graded plate to describe the stochastic low-velocity impact response in their study. To anticipate material stochasticity, the study used the finite element full-scale Monte Carlo approach with the MARS surrogate model.…”

Stochastic buckling response of variable fiber spacing composite plate under thermal environment

“…The stochastic approach for anticipating randomness may add even more value to the uncertainty. Using a functionally graded plate, Karsh et al 27 investigated the stochastic low-velocity impact response. To anticipate material stochasticity, the study used the MARS surrogate model in conjunction with the finite element-based full-scale Monte Carlo approach.…”