A one-dimensional computationalmodel for hyperelastic string structures with Coulomb friction

作者：Shiryaev Vladimir^*; Orlik Julia

来源：Mathematical Methods in the Applied Sciences, 2017, 40(3): 741-756.

DOI：10.1002/mma.4005

• hyperelastic strings
• Coulomb friction
• Capstan equation
• textiles
• evolution equations
• quasivariational inequalities
• rate independent dissipation
• energetic formulation

In this paper, we consider a newmodel for the simulation of textileswith frictional contact between fibers and no bending resistance. In the model, one-dimensional hyperelasticity and the Capstan equation are combined, and its connectionwith conventional hyperelasticity and Coulomb frictionmodels is shown. Then, themodel 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.

• 出版日期2017-2