A Full-Network Rubber Elasticity Model based on Analytical Integration

DOI10.1177/1081286509106441zbMath1257.74020OpenAlexW2126573907MaRDI QIDQ4905295

Roozbeh Dargazany, Mikhail Itskov, Alexander E. Ehret

Publication date: 15 February 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286509106441

zbMATH Keywords

Padé approximationunit sphererubber elasticityinverse Langevin functionfull-network modelTaylor power seriesstretch averaging

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (11)

A model for the anisotropic response of fibrous soft tissues using six discrete fibre bundles ⋮ On the accuracy of numerical integration over the unit sphere applied to full network models ⋮ On a molecular statistical basis for Ogden's model of rubber elasticity ⋮ An anisotropic discrete fibre model based on a generalised strain invariant with application to soft biological tissues ⋮ Univariate Gauss quadrature for structural modelling of tissues and materials with distributed fibres ⋮ Moment-based, univariate \(n\)-point quadrature rules in application to the full network model of rubber elasticity ⋮ A comprehensive study of the mathematical methods used to approximate the inverse Langevin function ⋮ A generalized approach to generate optimized approximations of the inverse Langevin function ⋮ Microscopic and long-wave instabilities in 3D fiber composites with non-Gaussian hyperelastic phases ⋮ Taylor expansion of the inverse function with application to the Langevin function ⋮ Generalized error-minimizing, rational inverse Langevin approximations

Cites Work

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• Efficient Numerical Integration on the Surface of a Sphere
• The distribution of points on the sphere and corresponding cubature formulae
• Tensor Algebra and Tensor Analysis for Engineers

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