%0 Journal Article
%J Math. Models Methods Appl. Sci. 18 (2008) 1-20
%D 2008
%T Relaxation of some transversally isotropic energies and applications to smectic A elastomers
%A James Adams
%A Sergio Conti
%A Antonio DeSimone
%A Georg Dolzmann
%B Math. Models Methods Appl. Sci. 18 (2008) 1-20
%G en_US
%U http://hdl.handle.net/1963/1912
%1 2325
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-02-02T14:15:25Z\\nNo. of bitstreams: 1\\nsma_Preprint_SISSA.pdf: 271875 bytes, checksum: eb0cf2c367021718506356a73bda219a (MD5)
%R 10.1142/S0218202508002693
%0 Report
%D 2007
%T Soft elasticity and microstructure in smectic C elastomers
%A Antonio DeSimone
%A James Adams
%A Sergio Conti
%X Smectic C elastomers are layered materials exhibiting a solid-like elastic response along the layer normal and a rubbery one in the plane. The set of strains minimizing the elastic energy contains a one-parameter family of simple stretches associated with an internal degree of freedom, coming from the in-plane component of the director. We investigate soft elasticity and the corresponding microstructure by determining the quasiconvex hull of the set , and use this to propose experimental tests that should make the predicted soft response observable.
%B Contin. Mech. Thermodyn. 18 (2007) 319-334
%G en_US
%U http://hdl.handle.net/1963/1811
%1 2403
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2006-04-12T09:42:24Z\\nNo. of bitstreams: 1\\nsissa05M-06.pdf: 394760 bytes, checksum: 95c4183d6cb1210bf2a689ae083a3cb7 (MD5)
%R 10.1007/s00161-006-0031-8
%0 Journal Article
%J Comput. Methods Appl. Mech. Engrg. 194 (2005) 2534-2549
%D 2005
%T Self-similar folding patterns and energy scaling in compressed elastic sheets
%A Sergio Conti
%A Antonio DeSimone
%A Stefan Müller
%X Thin elastic sheets under isotropic compression, such as for example blisters formed by thin films which debonded from the substrate, can exhibit remarkably complex folding patterns. We discuss the scaling of the elastic energy with respect to the film thickness, and show that in certain regimes the optimal energy scaling can be reached\\nby self-similar folding patterns that refine towards the boundary, in agreement with experimental observations. We then extend the analysis\\nto anisotropic compression, and discuss a simplified scalar model which suggests the presence of a transition between a regime where\\nthe deformation is governed by global properties of the domain and another one where the direction of maximal compression dominates and the scale of the folds is mainly determined by the distance to the boundary in the direction of the folds themselves.
%B Comput. Methods Appl. Mech. Engrg. 194 (2005) 2534-2549
%I Elsevier
%G en_US
%U http://hdl.handle.net/1963/3000
%1 1333
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-01T10:37:14Z\\nNo. of bitstreams: 1\\npreprint2004_3.pdf: 907333 bytes, checksum: 2b22c209b91ba2ddacc1a1c14a9054a2 (MD5)
%R 10.1016/j.cma.2004.07.044
%0 Journal Article
%J M2AN Math. Model. Numer. Anal. 38 (2004) 235-248
%D 2004
%T Energetics and switching of quasi-uniform states in small ferromagnetic particles
%A François Alouges
%A Sergio Conti
%A Antonio DeSimone
%A Ivo Pokern
%X We present a numerical algorithm to solve the micromagnetic equations based on tangential-plane minimization for the magnetization update and a homothethic-layer decomposition of outer space for the computation of the demagnetization field. As a first application, detailed results on the flower-vortex transition in the cube of Micromagnetic Standard Problem number 3 are obtained, which confirm, with a different method, those already present in the literature, and validate our method and code. We then turn to switching of small cubic or almost-cubic particles, in the single-domain limit. Our data show systematic deviations from the Stoner-Wohlfarth model due to the non-ellipsoidal shape of the particle, and in particular a non-monotone dependence on the particle size.
%B M2AN Math. Model. Numer. Anal. 38 (2004) 235-248
%I EDP Sciences
%G en_US
%U http://hdl.handle.net/1963/2999
%1 1334
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2008-10-01T10:25:50Z\\nNo. of bitstreams: 1\\npreprint2003_88.pdf: 297354 bytes, checksum: d907d5a9d74d0a3dcb244e26ff2af68a (MD5)
%R 10.1051/m2an:2004011