TY - JOUR
T1 - Quasiconvex envelopes of energies for nematic elastomers in the small strain regime and applications
AU - Cesana, Pierluigi
AU - Desimone, Antonio
N1 - Funding Information:
The results contained in this paper have been obtained while P.C. was a PhD student at Sissa. P.C. was partially supported by Project MTM2009-07662 of the Spanish Ministry of Science and Innovation. A.D.S. thanks Mariarita de Luca and Luciano Teresi for valuable discussions and help during the preparation of this manuscript.
PY - 2011/4
Y1 - 2011/4
N2 - We provide some explicit formulas for the quasiconvex envelope of energy densities for nematic elastomers in the small strain regime and plane strain conditions. We then demonstrate their use as a powerful tool for the interpretation of mechanical experiments. Analytical formulas characterizing the stressstrain response in pure shear are derived, providing an easily testable benchmark for future numerical and experimental investigations on the mechanics of nematic elastomers.
AB - We provide some explicit formulas for the quasiconvex envelope of energy densities for nematic elastomers in the small strain regime and plane strain conditions. We then demonstrate their use as a powerful tool for the interpretation of mechanical experiments. Analytical formulas characterizing the stressstrain response in pure shear are derived, providing an easily testable benchmark for future numerical and experimental investigations on the mechanics of nematic elastomers.
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U2 - 10.1016/j.jmps.2011.01.007
DO - 10.1016/j.jmps.2011.01.007
M3 - Article
AN - SCOPUS:79952361963
SN - 0022-5096
VL - 59
SP - 787
EP - 803
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 4
ER -