3 papers
math.AP2020
The inverse-deformation approach to fracture
Phoebus Rosakis, Timothy J. Healey, Ugur Alyanak
We propose a one-dimensional, nonconvex elastic constitutive model with higher gradients that can predict spontaneous fracture at a critical load via a bifurcation analysis. It ove…
nlin.PS2020
Stable Spatially Localized Configurations in a Simple Structure -- A Global Symmetry-Breaking Approach
Shrinidhi S. Pandurangi, Ryan S. Elliott, Timothy J. Healey +1
We revisit the classic stability problem of the buckling of an inextensible, axially compressed beam on a nonlinear elastic foundation with a semi-analytical approach to understand…
math.AP2018
Classical Injective Solutions in the Large in Incompressible Nonlinear Elasticity
Timothy J. Healey
We consider a general class of parametrized displacement boundary value problems in incompressible nonlinear elasticity. We prove the existence of an unbounded solution branch of c…