Showing math.APShow all
2 papers · 1 filter
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…
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…