Authors
Sergio Conti, Antonio DeSimone, Georg Dolzmann
Publication date
2002/7/1
Journal
Journal of the Mechanics and Physics of Solids
Volume
50
Issue
7
Pages
1431-1451
Publisher
Pergamon
Description
Stretching experiments on sheets of nematic elastomers have revealed soft deformation modes and formation of microstructure in parts of the sample. Both phenomena are manifestations of the existence of a symmetry-breaking phase transformation from a random, isotropic phase to an aligned, nematic phase. The microscopic energy proposed by Bladon et al. (Phys. Rev. E 47 (1993), R 3838) to model this transition delivers a continuum of symmetry-related zero-energy states, which can be combined in different ways to achieve a variety of zero-energy macroscopic deformations. We replace the microscopic energy with a macroscopic effective energy, the so-called quasiconvexification. This procedure yields a coarse-grained description of the physics of the system, with (energetically optimal) fine-scale oscillations of the state variables correctly accounted for in the energetics, but averaged out in the kinematics …
Total citations
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Scholar articles
S Conti, A DeSimone, G Dolzmann - Journal of the Mechanics and Physics of Solids, 2002