Work

Piecewise linear constitutive relations for stretch-limited elastic strings

Year: 2025

Type: article

Abstract: This study proposes a simple and novel class of stretch-limiting constitutive relations for perfectly flexible elastic strings drawn 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 catenaries and longitudinal, piecewise constant stretched motions.

Source: IMA Journal of Applied Mathematics

DOI: 10.1093/imamat/hxaf010

Authors: R Bustamante, K R Rajagopal, C Rodriguez

Institutions: University of Chile, Texas A&M University, University of North Carolina at Chapel Hill

Language: English

Topic: Elasticity and Material Modeling

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Collaborative Research: Strain-limiting Cosserat Rods with Applications to Modeling Biological Fibers