Asymptotic bifurcation solutions for compressions of a clamped nonlinearly elastic rectangle: transition region and barrelling to a corner-like profile

2009/03/23 by Hui–Hui Dai, H. H. Dai, Dai, H. H. +2
Engineering · Physics and Astronomy · #Classical Physics (physics.class-ph) #Composite Structure Analysis and Optimization #Elasticity and Material Modeling #Elasticity and Wave Propagation #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft #physics.class-ph

paper · pdf · doi:10.48550/arxiv.0903.3913

38 papes, 9 figures

arxiv created 2009/03/23 · openalex publication_date 2009/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Buckling and barrelling instabilities in the uniaxial compressions of an elastic rectangle have been studied by many authors under lubricated end conditions. However, in practice it is very difficult to realize such conditions due to friction. Here, we study the compressions of a two-dimensional nonlinearly elastic rectangle under clamped end conditions.

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