We consider models that describe liquid crystal elastomers either in a biaxial or in a uniaxial phase and in the framework of Frank's director theory. We prove the existence of static equilibrium solutions in the presence of frustrations due to electro-mechanical boundary conditions and to applied loads and fields. We find explicit solutions arising in connection with special boundary conditions and the corresponding phase diagrams, leading to significant implications on possible experimental observations.
|Number of pages||30|
|Journal||Mathematical Models and Methods in Applied Sciences|
|Publication status||Published - Apr 2009|
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Applied Mathematics