On the normal stresses in simple shearing of fiber-reinforced nonlinearly elastic materials

DOI10.1007/S10659-011-9310-0zbMath1269.74023OpenAlexW2024416013MaRDI QIDQ1937118

Jeremiah G. Murphy, Cornelius O. Horgan

Publication date: 11 February 2013

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-011-9310-0

zbMATH Keywords

transversely isotropic materialsecond invariantconfining tractionisotropic strain-energy

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Composite and mixture properties (74E30)

Related Items (5)

Some effects of fiber dispersion on the mechanical response of incompressible soft solids ⋮ Computational method for excluding fibers under compression in modeling soft fibrous solids ⋮ Dominant negative Poynting effect in simple shearing of soft tissues ⋮ Reverse Poynting effects in the torsion of soft biomaterials ⋮ Fiber-matrix interaction and fiber orientation in simple shearing of fibrous soft tissues

Cites Work

• Unnamed Item
• Unnamed Item
• Torsion of incompressible fiber-reinforced nonlinearly elastic circular cylinders
• Simple shearing of incompressible and slightly compressible isotropic nonlinearly elastic materials
• Mechanical response of fiber-reinforced incompressible non-linearly elastic solids
• The influence of the invariant \(I_8\) on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids
• A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids
• Cavitation for incompressible anisotropic nonlinearly elastic spheres
• Remarks on the behavior of simple directionally reinforced incompressible nonlinearly elastic solids
• Remarks on cavity formation in fiber-reinforced incompressible nonlinearly elastic solids
• Simple shearing of soft biological tissues
• Constitutive modelling of passive myocardium: a structurally based framework for material characterization
• Nonlinear Theory of Elasticity
• On planar biaxial tests for anisotropic nonlinearly elastic solids. A continuum mechanical framework
• The singular terms in the fundamental matrix of crystal optics
• Large elastic deformations of isotropic materials IV. further developments of the general theory
• Kink surfaces in a directionally reinforced neo-Hookean material under plane deformation. I: Mechanical equilibrium. II: Kink band stability and maximally dissipative band broadening

This page was built for publication: On the normal stresses in simple shearing of fiber-reinforced nonlinearly elastic materials