Buckling of Stretched Strips - Reconsidered and Extended

The paper “Buckling of stretched strips” [1], published in the year 2000, seemed to deal with a rather specific problem of buckling of thin structures. Nevertheless, it aroused quite broad interest and prompted a considerable series of further treatments. Deeper theoretical considerations and advanced applications have been published. Various specific aspects of this type of problem have been addressed in these papers. However, a general and systematic consideration of how and to what extent the Poisson's ratio affects the critical stretch of strips of different length to width ratios, L/B, was lacking. Accomplishing this task is the focus of this paper. Given the increasing use of auxetics, strips made from such materials are also being investigated. In addition, the occurrence of previously undiscovered mode transitions is shown. All results are presented in dimensionless form, which allows for fairly general usage. •Influence of Poisson ratio on buckling of stretched strips quantified and discussed.•So far unknown mode transition detected and explained.•Mode map presented, which allows determining fundamental buckling mode for given length/width ratio and given value of Poisson ratio.•Buckling of stretched strips made of auxetic materials – diagrams for buckling factor in dependence of Poisson ratio.