13 citations · 31 across the 14 of their papers we have counts for
16 papers
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…
Global well-posedness for two-dimensional flows of viscoelastic rate-type fluids with stress diffusion
Miroslav Bulíček, Josef Málek, Casey Rodriguez
We consider the system of partial differential equations governing two-dimensional flows of a robust class of viscoelastic rate-type fluids with stress diffusion, involving a gener…
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…
Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings
Casey Rodriguez
In this paper, we initiate the study of wave propagation in a recently proposed mathematical model for stretch-limited elastic strings. We consider the longitudinal motion of a sim…