Stress Localisation in Equilibrium Shapes of Twisted and Folded Elastic Strips

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:zhouchaowenit
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  We study isometric deformations of thin elastic strips of various(Moebius and other)topologies.A centreline-reduced variational formulation gives convenient equilibrium equations in(second-order)Euler-Poincare form.Numerical solutions reveal how closed strips fold into compact shapes with points of stress localisation as the length-to-width ratio of the strip is decreased.Our results may be relevant for determining curvature effects on physical properties of extremely thin two-dimensional structures as for instance produced in nanostructured origami.
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