A nonlinear mathematical model for large deflection of incompressible saturated poroelastic beams

DOI10.1007/s10483-007-1205-3zbMath1231.74117OpenAlexW2032907756MaRDI QIDQ940486

Xiao Yang, Chen Wang

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-1205-3

zbMATH Keywords

large deflectiontheory of porous mediaaxial diffusionGalerkin truncation methodporoelastic beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear parabolic equations (35K55) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Immersed boundary simulations of fluid shear-induced deformation of a cantilever beam ⋮ Dynamic and quasi-static bending of saturated poroelastic Timoshenko cantilever beam

Cites Work

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• Interesting behavior patterns of poroelastic beams and columns
• Flexural vibrations of poroelastic plates
• Oscillatory bending of a poroelastic beam
• Theory of poroelastic beams with axial diffusion
• Large deflection analysis of poroelastic beams
• On the theory of elastic shells made from a material with voids
• The flexure and torsion of bones viewed as anisotropic poroelastic bodies
• A finite element model for poroelastic beams with axial diffusion
• Transient wave propagation in a one-dimensional poroelastic column

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