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math.AP2023
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…
math.AP2023
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…