Probabilistic Oblique Impact Analysis of Functionally Graded Plates – A Multivariate Adaptive Regression Splines Approach

Authors

  • P. K. Karsh Department of Mechanical Engineering, Parul Institute of Engineering & Technology, Parul University, Vadodara, India https://orcid.org/0000-0003-3522-3207
  • Bindi Thakkar Department of Mechanical Engineering, Parul Institute of Engineering & Technology, Parul University, Vadodara, India
  • R. R. Kumar Department of Aeronautical Engineering; Hindustan Institute of Technology and Science, Chennai, India https://orcid.org/0000-0002-9725-727X
  • Vaishali Department of Mechanical Engineering, National Institute of Technology Silchar, India https://orcid.org/0000-0002-3503-0977
  • Sudip Dey Department of Mechanical Engineering, National Institute of Technology Silchar, India

DOI:

https://doi.org/10.13052/ejcm2642-2085.30234

Keywords:

Uncertain parameter; Low-velocity impact; Functionally graded materials (FGM); Monte Carlo simulation (MCS); Multivariate Adaptive Regression Splines (MARS).

Abstract

Purpose: To investigate the probabilistic low-velocity impact of functionally graded (FG) plate using the MARS model, considering uncertain system parameters.

Design/methodology/application: The distribution of various material properties throughout FG plate thickness is calculated using power law. For finite element (FE) formulation, isoparametric elements with eight nodes are considered, each component has five degrees of freedom. The combined effect of variability in material properties such as elastic modulus, modulus of rigidity, Poisson’s ratio, and mass density are considered. The surrogate model is validated with the FE model represented by the scatter plot and the probability density function (PDF) plot based on Monte Carlo simulation (MCS).

Findings: The outcome of the degree of stochasticity, impact angle, impactor’s velocity, impactor’s mass density, and point of impact on the maximum value of contact force (CFmax

), plate deformation (PDmax), and impactor deformation (IDmax

) are determined. A convergence study is also performed to determine the optimal number of the constructed MARS model’s sample size.

Originality/value: The results illustrate the significant effects of uncertain input parameters on FGM plates’ low-velocity impact responses by employing a surrogate-based MARS model.

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Author Biographies

P. K. Karsh, Department of Mechanical Engineering, Parul Institute of Engineering & Technology, Parul University, Vadodara, India

P. K. Karsh received the bachelor’s degree in Industrial and Produnction Engineering from Guru Ghasdas Central University, Bilaspur, India in 2012, the master’s degree in Industrial and Produnction Engineering from Natioal Institute of Technology, Kurukshetra, India in 2016, and the philosophy of doctorate degree in Mehcnaical Engineering from Natioal Institute of Technology Silchar, India in 2019, respectively. He is currently working as an Assistant Professor at the Department of Mechanical Engineering, Faculty of Engineering & Technology, Parul University, India. His research areas include, stochastic free vibration analysis, impact analysis and failure analysis of composite and functionally graded materials. He has been serving as a reviewer for many highly-respected journals.

Bindi Thakkar, Department of Mechanical Engineering, Parul Institute of Engineering & Technology, Parul University, Vadodara, India

Bindi Thakkar received the bachelor’s degree in Industrial and Mechanical Engineering from D. Y. Patil College of Engineering Pune, India in 2006, the master’s degree in CAD/CAM from Bharti Vidhyapeeth University, Pine India in 2009, and pursuing PhD in Design and Manufacturing from Parul University in 2020 respectively. She is currently working as Head of the Department and Assistant Professor at the Department of Mechanical Engineering, Faculty of Engineering & Technology, Diploma Studies, Parul University, India. She has 14 years of teaching experience at Parul University, since 2008. Her research areas include, Composites, stochastic free vibration analysis, impact analysis and failure analysis of composite and functionally graded materials.

R. R. Kumar, Department of Aeronautical Engineering; Hindustan Institute of Technology and Science, Chennai, India

R. R. Kumar received the bachelor’s degree in Mechanical Engineering from Rajasthan Technical University, Kota, India in 2014, the master degree in Mechanical Engineering from National Institute of Technology, Silchar, India in 2016, and the doctor of Philosophy degree in Mechanical Engineering from National Institute of Technology Silchar, India in 2019, respectively. His research area includes: composite structure, stochastic analysis, surrogate modelling, impact analysis, vibration analysis and computational mechanics. He has been serving as a reviewer for several international journals.

Vaishali, Department of Mechanical Engineering, National Institute of Technology Silchar, India

Vaishali received the bachelor’s degree in Mechanical Engineering from Noida Institute of Engineering and Technology, Greater Noida, India in 2014, the master’s degree in Materials and Manufacturing Technology from National Institute of Technology, Silchar, India in 2018. She is currently pursuing her philosophy of doctorate degree in Mehcnaical Engineering from National Institute of Technology Silchar, India. Her research areas include, stochastic free vibration analysis, impact analysis, functionally graded materials, sandwich structures and hybrid structures.

Sudip Dey, Department of Mechanical Engineering, National Institute of Technology Silchar, India

Sudip Dey is a faculty in the Mechanical Engineering Department of National Institute of Technology Silchar, India. Previously, He was a Post-doctoral Researcher at Leibniz-Institut für Polymerforschung Dresden e. V., Germany. Prior to that he was a Post-doctoral Researcher at College of Engineering, Swansea University, United Kingdom. He obtained Bachelor in Mechanical Engineering Degree from Jadavpur University, India. He received Ph.D. (Engg.) degree from Jadavpur University, India. His field of specialization is Applied Mechanics and Design. He has more than fifteen years of experience in research, teaching, industrial and professional activities. He is actively engaged in academics, teaching, research and industrial projects. His research interests include molecular dynamics, multi-scale and computational investigation of fibre-matrix interaction, uncertainty quantification, mechanics of composite and functionally graded structures, finite element analyses, digital twin with an emphasis on computational modelling.

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Published

2021-10-09

How to Cite

Karsh, P. K., Thakkar, B., Kumar, R. R., Vaishali, & Dey, S. (2021). Probabilistic Oblique Impact Analysis of Functionally Graded Plates – A Multivariate Adaptive Regression Splines Approach. European Journal of Computational Mechanics, 30(2-3), 223–254. https://doi.org/10.13052/ejcm2642-2085.30234

Issue

2021: Vol 30 Iss 2-3

Section

Original Article

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