Abstract
The equilibrium mechanical response of nematic elastomers can be soft or hard depending on the relation between the imposed strains and the nematic director, in particular, if the local nematic director is able to respond by rotating. The dynamical response proves to be equally unusual. We examine the linear dynamic mechanical response of monodomain nematic elastomers under shear and the aspects of time - temperature superposition of the dynamical data across phase-transition regions. In the low-frequency region of the master curves, one finds a dramatic reduction of rubber plateau modulus and the rise in internal dissipation: in the shear geometries compatible with dynamic soft elasticity. Power-law variation of the storage modulus with frequency G′ ∝ wa agrees very well with the results of static stress relaxation, where each relaxation curve obeys the analogous power law G′ ∝ t-a in the corresponding region of long times and temperatures.
| Original language | English |
|---|---|
| Pages (from-to) | 653-664 |
| Number of pages | 12 |
| Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 361 |
| Issue number | 1805 |
| DOIs | |
| Publication status | Published - 2003 Apr 15 |
| Externally published | Yes |
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Keywords
- Damping
- Linear response
- Nematic elastomers
- Polarized acoustics
- Polymer dynamics
- Soft elasticity
ASJC Scopus subject areas
- General
Cite this
Liquid crystalline elastomers : Dynamics and relaxation of microstructure. / Terentjev, E. M.; Hotta, Atsushi; Clarke, S. M.; Warner, M.; Marrucci, G.; Seddon, J. M.; Sellers, H. S.
In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 361, No. 1805, 15.04.2003, p. 653-664.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Liquid crystalline elastomers
T2 - Dynamics and relaxation of microstructure
AU - Terentjev, E. M.
AU - Hotta, Atsushi
AU - Clarke, S. M.
AU - Warner, M.
AU - Marrucci, G.
AU - Seddon, J. M.
AU - Sellers, H. S.
PY - 2003/4/15
Y1 - 2003/4/15
N2 - The equilibrium mechanical response of nematic elastomers can be soft or hard depending on the relation between the imposed strains and the nematic director, in particular, if the local nematic director is able to respond by rotating. The dynamical response proves to be equally unusual. We examine the linear dynamic mechanical response of monodomain nematic elastomers under shear and the aspects of time - temperature superposition of the dynamical data across phase-transition regions. In the low-frequency region of the master curves, one finds a dramatic reduction of rubber plateau modulus and the rise in internal dissipation: in the shear geometries compatible with dynamic soft elasticity. Power-law variation of the storage modulus with frequency G′ ∝ wa agrees very well with the results of static stress relaxation, where each relaxation curve obeys the analogous power law G′ ∝ t-a in the corresponding region of long times and temperatures.
AB - The equilibrium mechanical response of nematic elastomers can be soft or hard depending on the relation between the imposed strains and the nematic director, in particular, if the local nematic director is able to respond by rotating. The dynamical response proves to be equally unusual. We examine the linear dynamic mechanical response of monodomain nematic elastomers under shear and the aspects of time - temperature superposition of the dynamical data across phase-transition regions. In the low-frequency region of the master curves, one finds a dramatic reduction of rubber plateau modulus and the rise in internal dissipation: in the shear geometries compatible with dynamic soft elasticity. Power-law variation of the storage modulus with frequency G′ ∝ wa agrees very well with the results of static stress relaxation, where each relaxation curve obeys the analogous power law G′ ∝ t-a in the corresponding region of long times and temperatures.
KW - Damping
KW - Linear response
KW - Nematic elastomers
KW - Polarized acoustics
KW - Polymer dynamics
KW - Soft elasticity
UR - http://www.scopus.com/inward/record.url?scp=0042201962&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042201962&partnerID=8YFLogxK
U2 - 10.1098/rsta.2002.1155
DO - 10.1098/rsta.2002.1155
M3 - Article
VL - 361
SP - 653
EP - 664
JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
SN - 0962-8428
IS - 1805
ER -