Orientational order in buckling elastic membranes

@article{citeulike:2916336, abstract = {We study pattern formation in buckling membranes under lateral compression, using the F\"{o}ppl-von K\'{a}rm\'{a}n (FvK) approximation for nonlinear elasticity. To identify the role of shear strain, we numerically compare the patterns on elastic and fluid membranes as well as their coarsening dynamics. By mapping the FvK equations onto a vector spin model with nonlocal interactions, we find anisotropic correlation of ridges that characterizes the topography of crumpled elastic membranes.}, author = {Uchida, Nariya }, booktitle = {Synchronization and Pattern Formation in Nonlinear Systems: New Developments and Future Perspectives}, citeulike-article-id = {2916336}, doi = {10.1016/j.physd.2005.01.009}, journal = {Physica D: Nonlinear Phenomena}, keywords = {buckling}, month = {June}, number = {1-4}, pages = {267--274}, posted-at = {2008-06-23 06:29:15}, priority = {2}, title = {Orientational order in buckling elastic membranes}, url = {http://dx.doi.org/10.1016/j.physd.2005.01.009}, volume = {205}, year = {2005} }

TY - JOUR ID - citeulike:2916336 L3 - citeulike-article-id:2916336 TI - Orientational order in buckling elastic membranes T2 - Synchronization and Pattern Formation in Nonlinear Systems: New Developments and Future Perspectives JF - Physica D: Nonlinear Phenomena VL - 205 IS - 1-4 SP - 267 EP - 274 N2 - We study pattern formation in buckling membranes under lateral compression, using the Föppl-von Kármán (FvK) approximation for nonlinear elasticity. To identify the role of shear strain, we numerically compare the patterns on elastic and fluid membranes as well as their coarsening dynamics. By mapping the FvK equations onto a vector spin model with nonlocal interactions, we find anisotropic correlation of ridges that characterizes the topography of crumpled elastic membranes. KW - buckling AU - Uchida, Nariya PY - 2005/06/01/ UR - http://dx.doi.org/10.1016/j.physd.2005.01.009 ER -