Crescent singularities and stress focusing in a buckled thin sheet: Mechanics of developable cones

@article{citeulike:2280874, abstract = {The localization of deformation is a simple consequence of the fact that bending a thin sheet is energetically cheaper than stretching it. In this paper we investigate conical singularities that appear on a crumpled sheet and called developable cones ( d cones). We found that for a sample of a finite thickness the singularity is never pointlike but has a spatial extension in the form of a crescent. A further deformation of the d cone leads to a transition to a plastic deformation equivalent to a decrease in the singularity size characterized from curvature and profile analysis. The crescent radius of curvature is measured both at small deformations and at large deformations. It is found that; during the buckling process; the curvature of the crescent exhibits two different scalings versus the deformation. From the cone profile; we measured the reaction force of the plate to deformation; and from force measurements; the energy that is necessary to create the singularity is characterized.}, author = {Cha\"{i}eb, Sahraoui and Melo, Francisco }, citeulike-article-id = {2280874}, doi = {10.1103/PhysRevE.60.6091}, journal = {Physical Review E}, keywords = {crumpling}, month = {November}, number = {5}, pages = {6091+}, posted-at = {2008-01-23 15:03:50}, priority = {2}, publisher = {American Physical Society}, title = {Crescent singularities and stress focusing in a buckled thin sheet: Mechanics of developable cones}, url = {http://dx.doi.org/10.1103/PhysRevE.60.6091}, volume = {60}, year = {1999} }

TY - JOUR ID - citeulike:2280874 L3 - citeulike-article-id:2280874 TI - Crescent singularities and stress focusing in a buckled thin sheet: Mechanics of developable cones JF - Physical Review E VL - 60 IS - 5 SP - 6091 PB - American Physical Society N2 - The localization of deformation is a simple consequence of the fact that bending a thin sheet is energetically cheaper than stretching it. In this paper we investigate conical singularities that appear on a crumpled sheet and called developable cones ( d cones). We found that for a sample of a finite thickness the singularity is never pointlike but has a spatial extension in the form of a crescent. A further deformation of the d cone leads to a transition to a plastic deformation equivalent to a decrease in the singularity size characterized from curvature and profile analysis. The crescent radius of curvature is measured both at small deformations and at large deformations. It is found that; during the buckling process; the curvature of the crescent exhibits two different scalings versus the deformation. From the cone profile; we measured the reaction force of the plate to deformation; and from force measurements; the energy that is necessary to create the singularity is characterized. KW - crumpling AU - Chaïeb, Sahraoui AU - Melo, Francisco PY - 1999/11// UR - http://dx.doi.org/10.1103/PhysRevE.60.6091 ER -