Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Healey, Timothy J."'
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 of previously proposed models. The latter feature a local, non-convex
Externí odkaz:
http://arxiv.org/abs/2403.00838
Autor:
Healey, Timothy J., Nair, Gokul G.
We propose a model for nonlinearly elastic membranes undergoing finite deformations while confined to a regular frictionless surface in $\mathbb{R}^3$. This is a physically correct model of the analogy sometimes given to motivate harmonic maps betwee
Externí odkaz:
http://arxiv.org/abs/2308.02070
Autor:
Healey, Timothy J.
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 finite-strain hyperelastic membrane energy perturbed by small bending ener
Externí odkaz:
http://arxiv.org/abs/2302.07327
Autor:
Gupta, Arnav, Healey, Timothy J.
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 brittle material. In recent tensile experiments on such composites, multip
Externí odkaz:
http://arxiv.org/abs/2212.02232
Autor:
Healey, Timothy J., Nair, Gokul G.
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 function that reduces to a physically correct membrane model in the abs
Externí odkaz:
http://arxiv.org/abs/2208.09051
We present a general approach to the bifurcation analysis of elastic frameworks with symmetry. While group-theoretic methods for bifurcation problems with symmetry are well known, their actual implementation in the context of elastic frameworks is no
Externí odkaz:
http://arxiv.org/abs/2206.10764
Autor:
Healey, Timothy J.
We consider a class of models for nonlinearly elastic surfaces in this work. We have in mind thin, highly deformable structures modeled directly as two-dimensional nonlinearly elastic continua, accounting for finite membrane and bending strains and t
Externí odkaz:
http://arxiv.org/abs/2008.10722
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 overcomes the problem of discontinuous deformations without additional fi
Externí odkaz:
http://arxiv.org/abs/2006.16770
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 how spatially localized deformation solutions emerge in many applicat
Externí odkaz:
http://arxiv.org/abs/2002.12454
Transverse wrinkles are known to appear in thin rectangular elastic sheets when stretched in the long direction. Numerically computed bifurcation diagrams for extremely thin, highly stretched films indicate entire orbits of wrinkling solutions, cf. H
Externí odkaz:
http://arxiv.org/abs/1903.08775