Premium
A one‐dimensional computational model for hyperelastic string structures with Coulomb friction
Author(s) -
Shiryaev Vladimir,
Orlik Julia
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4005
Subject(s) - hyperelastic material , coulomb friction , mathematics , convexity , string (physics) , dissipation , connection (principal bundle) , bending , coulomb , mathematical analysis , finite element method , geometry , physics , structural engineering , engineering , nonlinear system , mathematical physics , quantum mechanics , financial economics , economics , thermodynamics , electron
In this paper, we consider a new model for the simulation of textiles with frictional contact between fibers and no bending resistance. In the model, one‐dimensional hyperelasticity and the Capstan equation are combined, and its connection with conventional hyperelasticity and Coulomb friction models is shown. Then, the model is formulated as a problem with the rate‐independent dissipation, and we prove that the problem possesses proper convexity and continuity properties. The article concludes with a numerical algorithm and provides numerical experiments along with a comparison of the results with a real measurement. Copyright © 2016 John Wiley & Sons, Ltd.