Akash Kumar Gartia

Senior Research Fellow

Department of Mathematics, National Institute of Technology Rourkela, 769008, Rourkela, India.

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Overview

About

Work

Publications

Education

Skills

Awards

Languages

References

Projects

About

I am a senior research fellow in the Department of Mathematics at the National Institute of Technology Rourkela, India, specializing in Applied Mathematics, Structural Dynamics, and Computational Mechanics. My research focuses on the modeling and analysis of differential equat...

Work

Dec 2022 ·

National Institute of Technology Rourkela

Senior Research Fellow

Publications

Feb 2026·

Effect of Variable Size-Dependent Parameters on the Vibration Characteristics of Axially Functionally Graded Electromagnetic Nanobeams

Journal of Vibration Engineering & Technologies

Feb 2026·

Forward and Inverse Vibration Analysis of Prestressed Axially Functionally Graded Tapered Beams with Initial Strain Estimation for Resilient Highway Bridge Systems

International Journal of Mechanics and Materials in Design

Education

Dec 2022 ·

Mathematics

National Institute of Technology Rourkela

Jul 2018 → Dec 2020 ·

Mathematics

Central University of Jharkhand

Skills

Computational Mechanics

Vibration Analysis, Structural Mechanics, Numerical Analysis, Mathematical Modelling, Differential Equations

Materials Science

Multi-directional Functionally Graded Materials, Nanobeams, Nanopipes, Nanoplates, Nanoshells, Nanostructures

Awards

Jan 2025·

Senior Research Fellowship (SRF)

Nov 2022·

Junior Research Fellowship (JRF)

Languages

English

Fluent

Hindi

Native

References

Prof. Snehashish Chakraverty

Professor (HAG), Department of Mathematics, National Institute of Technology Rourkela (Ph.D. Supervisor)

Projects

National Institute of Technology Rourkela

Senior Research Fellow

Rourkela, Odisha, India

Dec 2022

→

Present

Led advanced research initiatives in structural dynamics, computational mechanics, functionally graded and nanoscale structures, contributing to significant academic publications.

Pioneered advanced research in multi-directional functionally graded materials and nanoscale structures, applying sophisticated computational modeling and numerical analysis techniques.

Authored and co-authored more than 10 peer-reviewed publications in leading international journals, including International Journal of Structural Stability and Dynamics, Acta Mechanica, and International Journal of Mechanics and Materials in Design, advancing knowledge in vibration analysis and structural mechanics.

Presented and optimized numerical methods, such as the Rayleigh-Ritz method and Galerkin method, for efficient free vibration analysis of complex nanobeam structures.

Contributed as a Guest Editor for RIMNI - An International Journal of Numerical Methods for Calculation and Design in Engineering, and as a peer reviewer for multiple prestigious academic journals, ensuring scientific rigor and quality in published research.

Courses Assigned (Teaching Assistant): Mathematics - I, Mathematics - II, Numerical Analysis

Effect of Variable Size-Dependent Parameters on the Vibration Characteristics of Axially Functionally Graded Electromagnetic Nanobeams

Feb 2026

Journal of Vibration Engineering & Technologies

A comprehensive mathematical model is presented to examine the free vibration response of axially functionally graded nanobeams influenced by electromagnetic fields, with consideration of spatially varying size-dependent properties.

Forward and Inverse Vibration Analysis of Prestressed Axially Functionally Graded Tapered Beams with Initial Strain Estimation for Resilient Highway Bridge Systems

Feb 2026

International Journal of Mechanics and Materials in Design

Investigated vibration analysis of functionally graded tapered beams for resilient bridge systems. Also, formulated the inverse vibration problem to estimate the initial strain.

Effect of Variable Nonlocal Parameter on the Free Vibration of Axially Functionally Graded Nanobeams

Jan 2026

Proceedings of the International Conference on Computational Mathematics and Applications

Analyzed the impact of variable nonlocal parameters on the free vibration characteristics of axially functionally graded nanobeams.

Effect of Axial Functional Gradation and Periodic Square Perforations on the Vibration of Nanobeams with Elastic Foundation

Jan 2026

International Journal of Structural Stability and Dynamics

Studied the vibrational behavior of nanobeams with elastic foundations, considering axial functional gradation and periodic perforations.

Coupled Effects of Axial Material Gradation and Tapered Geometry on Nanobeam Dynamics with Uniform Square Perforations

Jan 2026

Acta Mechanica

Explored the combined influence of material gradation and tapered geometry on perforated nanobeam structures.

Analytical Solution for Free Vibration of Multi-Cracked Metal–Ceramic Functionally Graded Nanobeams Resting on Elastic Foundations

Aug 2025

International Journal of Structural Stability and Dynamics

Developed an analytical solution for the free vibration of multi-cracked, functionally graded nanobeams supported by elastic foundations.

Optimizing Shape Functions in the Rayleigh-Ritz Method for Efficient Free Vibration Analysis of Functionally Graded Nanobeams

Jun 2025

Mechanics of Solids

Analyzed the effects of different shape functions within the Rayleigh-Ritz method to enhance efficiency in free vibration analysis of nanobeams.

Advanced Computational Modeling and Mechanical Behavior Analysis of Multi-Directional Functionally Graded Nanostructures: A Comprehensive Review

Mar 2025

Computer Modeling in Engineering & Sciences

Provided a comprehensive review of advanced computational modeling and mechanical behavior analysis for multi-directional functionally graded nanostructures.

Chebyshev polynomials based Rayleigh-Ritz method for free vibration analysis of axially functionally graded cantilever nanobeam

Dec 2024

IOP Publishing (Advances in Modelling and Analysis of Functionally Graded Micro-and Nanostructures)

Applied the Chebyshev polynomials-based Rayleigh-Ritz method to analyze the free vibration of axially functionally graded cantilever nanobeams.

Free Vibration of Bi-Directional Functionally Graded Nanobeams Resting on Winkler-Pasternak Foundations

Jul 2024

Journal of Vibration Engineering & Technologies

Investigated the free vibration characteristics of bi-directional functionally graded nanobeams supported by Winkler-Pasternak foundations.

National Institute of Technology Rourkela

Rourkela, Odisha, India

Dec 2022

→

Present

Central University of Jharkhand

Ranchi, Jharkhand, India

Jul 2018

→

Dec 2020

Sambalpur University

Sambalpur, Odisha, India

Jul 2015

→

Jun 2018

Computational Mechanics

Vibration Analysis, Structural Mechanics, Numerical Analysis, Mathematical Modelling, Differential Equations.

Materials Science

Multi-directional Functionally Graded Materials, Nanobeams, Nanopipes, Nanoplates, Nanoshells, Nanostructures.

Applied Mathematics

Rayleigh-Ritz Method, Galerkin Method, Differential Equations (ODE & PDE), Advanced Numerical Techniques.

Research & Development

Scientific Research, Problem Solving, Data Analysis, Experimental Design.

Academic Leadership

Research Project Guidance, Peer Review, Guest Editing, Scientific Writing.