TY - JOUR
T1 - Relaxation of some transversally isotropic energies and applications to smectic A elastomers
JF - Math. Models Methods Appl. Sci. 18 (2008) 1-20
Y1 - 2008
A1 - James Adams
A1 - Sergio Conti
A1 - Antonio DeSimone
A1 - Georg Dolzmann
UR - http://hdl.handle.net/1963/1912
U1 - 2325
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - RPRT
T1 - Soft elasticity and microstructure in smectic C elastomers
Y1 - 2007
A1 - Antonio DeSimone
A1 - James Adams
A1 - Sergio Conti
AB - 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.
JF - Contin. Mech. Thermodyn. 18 (2007) 319-334
UR - http://hdl.handle.net/1963/1811
U1 - 2403
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Self-similar folding patterns and energy scaling in compressed elastic sheets
JF - Comput. Methods Appl. Mech. Engrg. 194 (2005) 2534-2549
Y1 - 2005
A1 - Sergio Conti
A1 - Antonio DeSimone
A1 - Stefan Müller
AB - 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.
PB - Elsevier
UR - http://hdl.handle.net/1963/3000
U1 - 1333
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -
TY - JOUR
T1 - Energetics and switching of quasi-uniform states in small ferromagnetic particles
JF - M2AN Math. Model. Numer. Anal. 38 (2004) 235-248
Y1 - 2004
A1 - François Alouges
A1 - Sergio Conti
A1 - Antonio DeSimone
A1 - Ivo Pokern
AB - 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.
PB - EDP Sciences
UR - http://hdl.handle.net/1963/2999
U1 - 1334
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -