44 citations · 80 across the 5 of their papers we have counts for
6 papers
Elephant trunk wrinkles: A mathematical model of function and form
Yang Liu, Alain Goriely, L. Angela Mihai
A notable feature of the elephant trunk is the pronounced wrinkling that enables its great flexibility. Here, we devise a general mathematical model that accounts for the character…
Deformation localisation in stretched liquid crystal elastomers
Rabin Poudel, Yasemin Sengul, L. Angela Mihai
We model within the framework of finite elasticity two inherent instabilities observed in liquid crystal elastomers under uniaxial tension. First is necking which occurs when a mat…
A theoretical model for power generation via liquid crystal elastomers
L. Angela Mihai
Motivated by the need for new materials and green energy production and conversion processes, a class of mathematical models for liquid crystal elastomers integrated within a theor…
Instabilities in liquid crystal elastomers
L. Angela Mihai, Alain Goriely
Stability is an important and fruitful avenue of research for liquid crystal elastomers. At constant temperature, upon stretching, the homogeneous state of a nematic body becomes u…
A plate theory for nematic liquid crystalline solids
L. Angela Mihai, Alain Goriely
We derive a Föppl-von Kármán-type constitutive model for solid liquid crystalline plates where the nematic director may or may not rotate freely relative to the elastic network. To…
Likely cavitation and radial motion of stochastic elastic spheres 2: Impulse driven
L. Angela Mihai, Thomas E. Woolley, Alain Goriely
Cavitation in solids can be caused by tensile dead-load traction or impulse traction. The two different types of boundary conditions lead to different static and dynamic solutions.…