Buckling behavior of intermediate filaments based on Euler Bernoulli and Timoshenko beam theories

Muhammad Taj, Muzamal Hussain, Mohamed A. Khadimallah, Muhammad Safeer, S.R. Mahmoud, Zafer Iqbal, Mohamed R. Ali, Aqib Majeed, Manzoor Ahmad and Abdelouahed Tounsi

Abstract

Cytoskeleton components play key role in maintaining cell structure and in giving shape to the cell. These components include microtubules, microfilaments and intermediate filaments. Among these filaments intermediate filaments are the most rigid and bear large compressive force. Actually, these filaments are surrounded by other filaments like microtubules and microfilaments. This network of filaments makes a layer as a surface on intermediate filaments that have great impact on buckling behavior of intermediate filaments. In the present article, buckling behavior of intermediate filaments is studied by taking into account the effects of surface by using Euler Bernoulli and Timoshenko beam theories. It is found that effects of surface greatly affect the critical buckling force of intermediate filaments. Further, it is observed that the critical buckling force is inversely proportional to the length of filament. Such types of observations are helpful for further analysis of nanofibrous in their actual environments within the cell.

Key Words

buckling behavior; intermediate filaments; residual stress; young's Laplace equation

Address

(1) Muhammad Taj, Manzoor Ahmad: Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan; (2) Muzamal Hussain: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan; (3) Mohamed A. Khadimallah: Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia; (4) Mohamed A. Khadimallah: Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia; (5) Muhammad Safeer: Department of Mathematics University of Poonch Rawalwkot 12350 Azad Kashmir, Pakistan; (6) S.R. Mahmoud: GRC Department, Faculty of Applied Studies, King Abdulaziz University, Jeddah, Saudi Arabia; (7) Zafer Iqbal: Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan; (8) Zafer Iqbal: Department of Mathematics, University of Mianwali, Mianwali, Pakistan; (9) Mohamed R. Ali: Faculty of Engineering and Technology, Future University in Egypt New Cairo 11835, Egypt; (10) Mohamed R. Ali: Basic Engineering Science Department, Benha Faculty of Engineering, Benha University, Benha, Egypt; (11) Aqib Majeed: Department of Mathematics, The University of Faisalabad, Sargodha Road, University Town Faisalabad, 38000, Pakistan; (12) Abdelouahed Tounsi: YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; (13) Abdelouahed Tounsi: Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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