Oscillatory bending of a poroelastic beam

DOI10.1016/0022-5096(94)90088-4zbMath0811.73040OpenAlexW1996029957MaRDI QIDQ1342970

Stephen C. Cowin, Da-jun Zhang

Publication date: 24 April 1995

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-5096(94)90088-4

zbMATH Keywords

analytical solutionpore pressurehigh frequenciesleakageliving bone

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Biomechanical solid mechanics (74L15)

Related Items (14)

Bending of a poroelastic beam with lateral diffusion ⋮ Theory of poroelastic beams with axial diffusion ⋮ Behavior of poroelastic isotropic beam derivation by asymptotic expansion method ⋮ High-order SAFE computation of reflection and transmission coefficients for functionally-graded poroelastic plates ⋮ Dynamic and quasi-static bending of saturated poroelastic Timoshenko cantilever beam ⋮ Flow and deformation due to periodic loading in a soft porous material ⋮ Meshless local Petrov-Galerkin (MLPG) method for wave propagation in 3D poroelastic solids ⋮ Bending of simply supported incompressible saturated poroelastic beams with axial diffusion ⋮ A nonlinear mathematical model for large deflection of incompressible saturated poroelastic beams ⋮ Fluid pressure response in poroelastic materials subjected to cyclic loading ⋮ Numerical investigations of ultrasound wave propagating in long bones using a poroelastic model ⋮ Wave propagation in anisotropic poroelastic beam with axial-flexural coupling ⋮ Transient response of fluid pressure in a poroelastic material under uniaxial cyclic loading ⋮ Bending of fluid-saturated linear poroelastic beams with compressible constituents

Cites Work

• Unnamed Item
• Compressible porous media models by use of the theory of mixtures
• Axisymmetric deformation of poroelastic shells of revolution
• Elastic and dynamic response regimes of fluid-impregnated solids with diverse microstructures
• A model of the human skull as a poroelastic spherical shell subjected to a quasistatic load
• The flexure and torsion of bones viewed as anisotropic poroelastic bodies
• Poroelasticity equations derived from microstructure
• A Theory for Transverse Deflection of Poroelastic Plates

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