13 citations · 31 across the 14 of their papers we have counts for
4 papers · 1 filter
Special Cosserat rods with rate-dependent evolving natural configurations
K. R. Rajagopal, C. Rodriguez
We present a nonlinear, geometrically exact, and thermodynamically consistent framework for modeling special Cosserat rods with evolving natural configurations. In contrast to the…
Elastic solids with strain-gradient elastic boundary surfaces
Casey Rodriguez
Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle Green-elastic solid with Steigmann-Ogden surface elastic…
On an elastic strain-limiting special Cosserat rod model
K. R. Rajagopal, Casey Rodriguez
Motivated by recent strain-limiting models for solids and biological fibers, we introduce the first intrinsic set of nonlinear constitutive relations, between the geometrically exa…
On evolving natural curvature for an inextensible, unshearable, viscoelastic rod
K. R. Rajagopal, Casey Rodriguez
We formulate and consider the problem of an inextensible, unshearable, viscoelastic rod, with evolving natural configuration, moving on a plane. We prove that the dynamic equations…