Finite Deformation Elasticity Theory

DOI10.1007/978-3-030-31547-4_2zbMath1445.74010OpenAlexW2984198598MaRDI QIDQ3295882

Ray W. Ogden, Jose Merodio

Publication date: 3 July 2020

Published in: Constitutive Modelling of Solid Continua (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-31547-4_2

zbMATH Keywords

isotropymaterial symmetrystrain-energy functionorthotropyobjectivity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (1)

Post-bifurcation of inflated fibrous cylindrical membranes under different fiber configurations

Cites Work

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• Extension, inflation and torsion of a residually stressed circular cylindrical tube
• Initial stresses in elastic solids: constitutive laws and acoustoelasticity
• George Green and the foundations of the theory of elasticity
• Mechanical response of fiber-reinforced incompressible non-linearly elastic solids
• Mechanics of composites with two families of finitely extensible fibers undergoing large deformations
• The influence of the invariant \(I_8\) on the stress-deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids
• On the residual stress possible in an elastic body with material symmetry
• Loss of ellipticity in plane deformation of a simple directionally reinforced incompressible nonlinearly elastic solid
• Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.
• On the tension-compression switch in soft fibrous solids
• Neo-Hookean fiber-reinforced composites in finite elasticity
• On stress-dependent elastic moduli and wave speeds
• Constitutive modelling of arteries
• Azimuthal Shear of a Transversely Isotropic Elastic Solid
• Invariants of the Stretch Tensors and their Application to Finite Elasticity Theory
• Instabilities of a Finitely Deformed Fiber-Reinforced Elastic Material
• A new constitutive framework for arterial wall mechanics and a comparative study of material models
• Kink surfaces in a directionally reinforced neo-Hookean material under plane deformation. I: Mechanical equilibrium. II: Kink band stability and maximally dissipative band broadening

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