63 citations · 100 across the 16 of their papers we have counts for
19 papers
Global Solution Branches of Forced Nonlinearly Elastic Single-Director Surfaces
Timothy J. Healey
We prove the existence of classical solutions for nonlinearly elastic, single-director surfaces or shells characterized by finite mid-plane strains and curvature. We employ topolog…
Sharp-interface limits for brittle fracture via the inverse-deformation formulation
Timothy J. Healey, Roberto Paroni, Phoebus Rosakis
We derive sharp-interface models for one-dimensional brittle fracture via the inverse-deformation approach. Methods of Gamma-convergence are employed to obtain the singular limits…
Nonlinearly Elastic Maps: Energy Minimizing Configurations of Membranes on Prescribed Surfaces
Timothy J. Healey, Gokul G. Nair
We propose a model for nonlinearly elastic membranes undergoing finite deformations while confined to a regular frictionless surface in . This is a physically correct…
An Existence Theorem for a Class of Wrinkling Models for Highly Stretched Elastic Sheets
Timothy J. Healey
We consider a class of models motivated by previous numerical studies of wrinkling in highly stretched, thin rectangular elastomer sheets. The model used is characterized by a fini…
Nucleation and development of multiple cracks in thin composite fibers
Arnav Gupta, Timothy J. Healey
We study the nucleation and development of crack patterns in thin composite fibers under tension in this work. A fiber comprises an elastic core and an outer layer of a weaker brit…
Energy Minimizing Configurations for Single-Director Cosserat Shells
Timothy J. Healey, Gokul G. Nair
We consider a class of single-director Cosserat shell models accounting for both curvature and finite mid-plane strains. We assume a polyconvexity condition for the stored-energy f…