Post-buckling analysis for hyperelastic column under axial compressive loading

علوم کاربردی و محاسباتی در مکانیک

Article 5, Volume 37, Issue 2 - Serial Number 40, June 2025, Pages 73-90   

Document Type: Original Article

DOI: 10.22067/jacsm.2024.85357.1216

Authors

Alireza Sedaghat; Javad Porkar

Department of Mechanical Engineering,La.C.,Islamic Azad University,Lahijan,Iran.

Abstract

Buckling of smooth columns under axial compression has been extensively studied for several decades. Although the buckling behavior of slender columns is well predicted, the post-buckling behavior of wide columns with high width-to-length ratios (in which geometric and material nonlinearity becomes critical) has not been investigated. In this article, it was analytically shown that for a smooth hyperelastic column, increasing its width-to-length ratio can change its buckling mode from continuous buckling to buckling and elastic buckling. Accordingly, the sign of the initial slope after buckling also changes from positive to negative and finally becomes positive again. By using an asymptotic analysis based on the mechanics of continuous media, the initial post-buckling slope can be determined as a function of the width-to-length ratio of the column, and then the critical width-to-length ratios to change the buckling modes can be determined, and these results are in good agreement with the FEA simulation results. . It can also be seen that by increasing the ratio of the shear modulus to the volume,

Keywords

Post-buckling; metamaterials; hyperelasticity; asymptotic analysis

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