Effect of Nonlocal Elasticity and Phase Lags on the Magneto Thermoelastic Waves in a Composite Cylinder with Hall Current


  • Rajendran Selvamani Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India
  • S. Mahesh Department of Mathematics, V.S.B. Engineering College, Karur, India-639111
  • Farzad Ebrahimi Department of Mechanical Engineering, Imam Khomeini International University, Qazvin, Iran




Multilayered cylinders, non local, LEMV/CFRP, thermoelastic, phase lags, hall current


In this study, the effect of nonlocal scale value and two phases lags on the free vibration of generalized magneto thermoelastic multilayered LEMV (Linear Elastic Material with Voids)/CFRP (Carbon Fiber Reinforced Polymer) composite cylinder is studied using nonlocal form of linear theory of elasticity. The governing equation of motion is established in longitudinal axis and variable separation model is used to transform the governing equations into a system of differential equations. To investigate vibration analysis from frequency equations, the stress free boundary conditions are adopted at the inner, outer and interface boundaries. The graphical representation of the numerically calculated results for frequency shift, natural frequency, and thermoelastic damping is presented. A special care has been taken to inspect the effect of nonlocal parameter on the aforementioned quantities. The results suggest that the nonlocal scale and the phase lag parameters alter the vibration characteristics of composite cylinders significantly.


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Author Biographies

Rajendran Selvamani, Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, India

Rajendran Selvamani is an Associate professor in the Department of Mathematics, Karunya University, Coimbatore, India. His research interests include solid mechanics, numerical methods, partial differential equations, and modelling of mechanical behaviours of nanomaterial. He has 20 years of teaching experience and has published more than 100 international research papers in reputed peer reviewed journals, and is the author of three books in well-known publishers.

S. Mahesh, Department of Mathematics, V.S.B. Engineering College, Karur, India-639111

S. Mahesh received the bachelor’s degree in mathematics from Madurai Kamaraj University in 2009, the master’s degree in mathematics from Bharathidasan University in 2011, and the philosophy of doctorate degree in mathematics from Karunya University in 2021, respectively. He is currently working as an Assistant Professor at the Department of Mathematics, V.S.B. Engineering College Karur, India. His research areas include Solid mechanics and thermodynamics.

Farzad Ebrahimi, Department of Mechanical Engineering, Imam Khomeini International University, Qazvin, Iran

Farzad Ebrahimi is an Associate Professor in the Department of Mechanical Engineering, IKIU, Qazvin, Iran. His research interests include mechanical behaviors of nano-engineered systems, mechanics of composites and nanocomposites, functionally graded materials, viscoelasticity, and smart materials and structures. Dr. Ebrahimi has authored more than 400 high-quality peer-reviewed research articles in his fields of interest. He has also edited and authored multiple books for well-known publishers. He is an Associate Editor of the journal Shock.


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How to Cite

Selvamani, R. ., Mahesh, S. ., & Ebrahimi, F. . (2023). Effect of Nonlocal Elasticity and Phase Lags on the Magneto Thermoelastic Waves in a Composite Cylinder with Hall Current. European Journal of Computational Mechanics, 32(02), 157–182. https://doi.org/10.13052/ejcm2642-2085.3223



Original Article