Phys. Rev. Lett. 78, 1303–1306 (1997)Stress Condensation in Crushed Elastic ManifoldsReceived 4 September 1996; published in the issue dated 17 February 1997 We discuss an M-dimensional phantom elastic manifold of linear size L crushed into a small sphere of radius R≪L in N-dimensional space. We investigate the low elastic energy states of 2-sheets (M = 2) and 3-sheets (M = 3) using analytic methods and lattice simulations. When N≥2M the curvature energy is uniformly distributed in the sheet and the strain energy is negligible. But when N = M+1 and M>1, both energies appear to be condensed into a network of narrow M-1 dimensional ridges. The ridges appear straight over distances comparable to the confining radius R. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.1303
DOI:
10.1103/PhysRevLett.78.1303
PACS:
68.60.Bs, 03.40.Dz, 46.30.Cn
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