On the development of instabilities in an annulus and a shell composed of a poro-hyperelastic material
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Publication:4626249
DOI10.1098/rspa.2018.0239zbMath1407.74062OpenAlexW2899429436WikidataQ94158629 ScholiaQ94158629MaRDI QIDQ4626249
Alexander P. Suvorov, A. Patrick S. Selvadurai
Publication date: 27 February 2019
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2018.0239
time-dependent phenomenaporo-hyperelasticitycanonical analytical solutionsbenchmarking computational resultsinstabilities in annuli
Nonlinear elasticity (74B20) Shells (74K25) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)
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Cites Work
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- Inhomogeneous deformation of elastomer gels in equilibrium under saturated and unsaturated conditions
- Bifurcation of thick-walled cylindrical shells and the mechanical response of arterial tissue affected by Marfan's syndrome
- A new derivation of the bifurcation conditions of inflated cylindrical membranes of elastic material under axial loading: application to aneurysm formation
- A theory for species migration in a finitely strained solid with application to polymer network swelling
- Mechanics of polymeric membranes subjected to chemical exposure
- Post-bifurcation analysis of a thin-walled hyperelastic tube under inflation
- Inflation of nonlinearly deformed annular elastic membranes
- Finite deformation of elastic membranes with application to the stability of an inflated and extended tube
- The diffusion of a fluid through a highly elastic spherical membrane
- The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
- Diffusion of a fluid through an elastic solid undergoing large deformation
- Torsional instability of stretched rubber cylinders
- Hyperelasticity with softening for modeling materials failure
- Bifurcation of rotating thick-walled elastic tubes
- Inflation and bifurcation of compressible spherical membranes
- Applications of the theory of interacting continua to the diffusion of a fluid through a nonlinear elastic media
- Diffusion through non-linear orthotropic cylinders
- Buckling of long thick-walled circular cylindrical shells of isotropic incompressible hyperelastic materials under uniform external pressure
- The stability of a finitely inflated cylindrical elastic membrane under axial compression
- On the incremental equations in non-linear elasticity - I. Membrane theory
- On the incremental equations in non-linear elasticity - II. Bifurcation of pressurized spherical shells
- Bifurcation of inflated circular cylinders of elastic material under axial loading - I. Membrane theory for thin-walled tubes
- Swelling-twist interaction in fiber-reinforced hyperelastic materials: the example of azimuthal shear
- Finite deformation of a pressurized toroidal membrane
- Mechanics of poroelastic media. Based on the mini-symposium on recent developments in poroelasticity, Chicago, IL, USA 1994
- On poro-hyperelastic shear
- Deflections of a rubber membrane
- Constitutive modelling of a polymeric material subjected to chemical exposure
- Incompressible mixtures of Newtonian fluids
- The finite inflation of an elastic toroidal membrane of circular cross section
- Large elastic deformations of thin rubber membranes
- Non-linear deformations of a mixture of two isotropic elastic solids
- Integration of an equation in membrane theory
- The flow of fluid through an elastic solid
- On the stability of finitely deformed elastic membranes. I: Stability of a uniformly deformed plane membrane
- Nonlinear Elasticity
- Thermo-poromechanics of a fluid-filled cavity in a fluid-saturated geomaterial
- Determining the time of bulge formation in an elastomeric tube as it inflates, elongates and alters chemorheologically
- A stabilized finite element formulation for monolithic thermo-hydro-mechanical simulations at finite strain
- A general approach to isothermal hyperelastic modelling of saturated porous media at finite strains with compressible solid constituents
- Finite element modelling of saturated porous media at finite strains under dynamic conditions with compressible constituents
- On the indentation of a polymeric membrane
- Constitutive modelling of arteries
- Pressure maximum behavior in inflation of incompressible elastic hollow spheres and cylinders
- Inflation and Bifurcation of Thick-Walled Compressible Elastic Spherical Shells
- CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
- CRITICAL PRESSURES FOR THE BUCKLING OF THICK-WALLED SPHERICAL SHELLS UNDER UNIFORM EXTERNAL PRESSURE
- The Nonlinear Theory of Elastic Shells
- On the formulation of boundary value problems with the incompressible constituents constraint in finite deformation poroelasticity
- Axisymmetric elastic membranes subjected to fluid loading
- Bulging bifurcation of inflated circular cylinders of doubly fiber-reinforced hyperelastic material under axial loading and swelling
- Boundary heating of poro-elastic and poro-elasto-plastic spheres
- Poromechanical behaviour of a surficial geological barrier during fluid injection into an underlying poroelastic storage formation
- A nonlinear, anisotropic and axisymmetric model for balloon angioplasty
- ON A THEORY OF MULTI-COMPONENT MIXTURES
- FINITE AXISYMMETRIC DEFORMATIONS OF AN INITIALLY CYLINDRICAL ELASTIC MEMBRANE
- The Static Theory of Finite Elasticity
- Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids
- Finite elastic deformation of incompressible isotropic bodies
- Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
- Large elastic deformations of isotropic materials IX. The deformation of thin shells
- Nonlinear problems of elasticity