粘弹性液晶高弹体的本构理论
The liquid crystal elastomer(LCE)has a potential energy with unite number of wells,used to depict transitions between and coexistence of multiple phases.Multiple states of LCE orientations may coexist in monodomain-polydomain transformations,an analogue of martensitic transformation.We are aimed at solving three problems simultaneously in one general theory:the puzzles of the many constitutive models for LCE elasticity;how LCE domains are switched;time effect taken into account due to viscosity.We make use of the Lagrange Equation method in the framework of continuum mechanics,adding a Rayleigh dissipation function due to viscosity.By energy equilibrium and the wariational principle,we have derived governing equations for both the viscoelastic elastomer and the LCE orientation.A general representation theory of the free energy and Rayleigh dissipation function is obtained by means of the tensor representation theory.The LC Frank energy,(semi)soft elastic energy are exact limits in our general theory.we have simplified our theory insofar as it remains revealing in explaining some phenomena observed.
粘弹性液晶高弹体 本构理论 弹性力学
宣辰 霍永忠
复旦大学力学与工程科学系,上海市邯郸路220号,200433
国内会议
湖南张家界
中文
56-57
2014-08-17（万方平台首次上网日期，不代表论文的发表时间）