On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers
From MaRDI portal
Publication:718925
DOI10.1007/s10665-009-9358-zzbMath1310.74007OpenAlexW2029612242MaRDI QIDQ718925
Publication date: 27 September 2011
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10533/144736
Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Theory of constitutive functions in solid mechanics (74A20)
Related Items (6)
A new framework for large strain electromechanics based on convex multi-variable strain energies: variational formulation and material characterisation ⋮ A new framework for large strain electromechanics based on convex multi-variable strain energies: finite element discretisation and computational implementation ⋮ A polyconvex transversely-isotropic invariant-based formulation for electro-mechanics: stability, minimisers and computational implementation ⋮ A new framework for large strain electromechanics based on convex multi-variable strain energies: conservation laws, hyperbolicity and extension to electro-magneto-mechanics ⋮ A multi-field finite element approach for the modelling of fibre-reinforced composites with fibre-bending stiffness ⋮ A curvilinear high order finite element framework for electromechanics: from linearised electro-elasticity to massively deformable dielectric elastomers
Cites Work
- Equilibrium theory for magnetic elastomers and magnetoelastic membranes
- Mechanical response of fiber-reinforced incompressible non-linearly elastic solids
- Discontinuous deformation gradients in plane finite elastostatics of incompressible materials
- Convexity conditions and existence theorems in nonlinear elasticity
- Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.
- Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
- Nonlinear magnetoelastic deformations of elastomers
- A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution
- Neo-Hookean fiber-reinforced composites in finite elasticity
- Incremental magnetoelastic deformations, with application to surface instability
- Some problems in nonlinear magnetoelasticity
- Generalized Baker-Ericksen inequalities
- Static implications of the strong-ellipticity condition
- On finitely strained magnetorheological elastomers
- Azimuthal Shear of a Transversely Isotropic Elastic Solid
- On Variational Formulations in Nonlinear Magnetoelastostatics
- On azimuthal shear of a circular cylindrical tube of compressible elastic material
- Nonlinear magnetoelastic deformations
- On planar biaxial tests for anisotropic nonlinearly elastic solids. A continuum mechanical framework
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On simple constitutive restrictions for transversely isotropic nonlinearly elastic materials and isotropic magneto-sensitive elastomers