Plane strain bending of strain-stiffening rubber-like rectangular beams

DOI10.1016/j.ijsolstr.2007.10.022zbMath1159.74372OpenAlexW2047687471MaRDI QIDQ1013850

Cornelius O. Horgan, Landon M. Kanner

Publication date: 23 April 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2007.10.022

zbMATH Keywords

incompressible hyperelastic rubber-like materials and soft biological tissuesstrain-stiffening constitutive modelsbending of rectangular beams by an end moment

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20)

Related Items (6)

Inhomogeneous shearing of strain-stiffening rubber-like hollow circular cylinders ⋮ A variational differential quadrature solution to finite deformation problems of hyperelastic shell-type structures: a two-point formulation in Cartesian coordinates ⋮ A gradient micromechanical model to explore flexoelectric copolymers via stochastic chain growth ⋮ Finite bending of a multilayered cylindrical nanosector with residual deformations ⋮ On extension and torsion of strain-stiffening rubber-like elastic circular cylinders ⋮ Bending instabilities of soft biological tissues

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
• Constitutive modeling and the trousers test for fracture of rubber-like materials
• Limiting chain extensibility constitutive models of Valanis-Landel type
• Pure azimuthal shear of isotropic, incompressible hyperelastic materials with limiting chain extensibility
• Elastic instabilities in rubber
• A molecular-statistical basis for the Gent constitutive model of rubber elasticity
• Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility
• Pure axial shear of isotropic, incompressible nonlinearly elastic materials with limiting chain extensibility
• Fitting hyperelastic models to experimental data
• Computational aspects of Worm-Like-Chain interpolation formulas
• A theory of stress softening of elastomers based on finite chain extensibility
• On worm-like chain models within the three-dimensional continuum mechanics framework
• Some Remarks on Kinematic Modeling of Limiting Chain Extensibility
• On Constitutive Models for Limited Elastic, Molecular Based Materials
• Helical Shear for Hardening Generalized Neo-Hookean Elastic Materials
• Constitutive Modelling of Rubber-Like and Biological Materials with Limiting Chain Extensibility
• Review Paper: Continuum biomechanics of soft biological tissues
• Anti-plane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials
• Nonlinear Theory of Elasticity
• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure
• Large elastic deformations of isotropic materials. V. The problem of flexure

This page was built for publication: Plane strain bending of strain-stiffening rubber-like rectangular beams