Nonlocal orthotropic shell model for buckling of microtubules embedded within elastic medium

Muhammad Taj , Mohamed A. Khadimallah , Manzoor Ahmad , Muzamal Hussain , Lahcen Azrar , Muhammad Safeer , Hamdi Ayed , Emad Ghandourah , Abir Mouldi

Abstract

Nonlocal influences are taken into account when studying the buckling behavior of protein microtubules in the elastic medium. The protein microtubules are modeled using the Winkler model as an orthotropic shell. Combining the two models, a new nonlocal orthotropic Winkler model is created that accounts for nonlocal influences in order to study the buckling of protein microtubules within the elastic medium. The wave propagation approach, a well-known numerical technique, is used to solve the governing equations. The primary goal of the current work is to examine microtubule buckling against dimensionless axial wavelength. This findings and observations supported the conclusions of the earlier investigations.

Key Words

buckling; elastic medium; microtubule; nonlocal orthotropic Winkler-like model; wave propagation approach

Address

Muhammad Taj and Manzoor Ahmad — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Mohamed A. Khadimallah — Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
Muzamal Hussain — Department of Mathematics, University of Sahiwal, Sahiwal, 57000, Pakistan
Lahcen Azrar — Department of Applied Mathematics and Informatics, ENSAM, Mohammed V University of Rabat, Morocco
Muhammad Safeer — Department of Mathematics University of Poonch Rawalwkot 12350 Azad Kashmir, Pakistan
Hamdi Ayed — Department of Civil Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
Emad Ghandourah — Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
Abir Mouldi — Department of Industrial Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia

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