Stochastic impact responses analysis of functionally graded plates

  • P. K. KarshEmail author
  • R. R. KumarEmail author
  • S. Dey
Technical Paper


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 time-dependent 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.


Monte Carlo simulation Functionally graded materials Low-velocity impact Multivariate adaptive regression splines Stochastic analysis 



First and second author would like to acknowledge the financial support received from MHRD, GOI, during this research work.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringParul Institute of Engineering and TechnologyVadodaraIndia
  2. 2.Department of Mechanical EngineeringNational Institute of Technology SilcharSilcharIndia
  3. 3.Department of Mechanical EngineeringChandigarh Engineering CollegeMohaliIndia

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