Piecewise linear constitutive relations for stretch-limited elastic strings

Autor:	Bustamante, Roger, Rajagopal, K. R., Rodriguez, Casey
Rok vydání:	2024
Předmět:	Mathematical Physics Condensed Matter - Materials Science Condensed Matter - Soft Condensed Matter
Druh dokumentu:	Working Paper
Popis:	This study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawing from modern advances in constitutive theory for elastic bodies. We investigate strings governed by constitutive relations where stretch is a bounded, piecewise linear function of tension, extending beyond the traditional Cauchy elasticity framework. Our analysis includes explicit solutions for both catenaries and longitudinal, piecewise constant stretched motions. Comment: 13 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.05309 Zobrazit plný text záznamu View this record from Arxiv