Mathematical problems in the coupled linear theory of bone poroelasticity

DOI10.1016/j.camwa.2013.01.046zbMath1381.74155OpenAlexW2013485596MaRDI QIDQ316221

Antonio Scalia, M. Zh. Svanadze

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.01.046

zbMATH Keywords

boundary value problemsdouble porosityGreen's formulasuniqueness and existence theorems

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (10)

Spectral and numerical analysis for a thermoelastic problem with double porosity and second sound ⋮ Elastic equilibrium of porous Cosserat media with double porosity ⋮ Fundamental solutions in the theory of elasticity for triple porosity materials ⋮ Potential method in the linear theory of triple porosity thermoelasticity ⋮ Uniqueness theorems in the theory of thermoelasticity for solids with double porosity ⋮ On the theory of viscoelasticity for materials with double porosity ⋮ Fundamental solutions in the linear theory of thermoelasticity for solids with triple porosity ⋮ Potential method in the theory of elasticity for triple porosity materials ⋮ Anisotropic bidispersive convection ⋮ Uniqueness theorems in the quasi-static theory of thermoelasticity for solids with double porosity

Cites Work

• On the strong ellipticity for orthotropic micropolar elastic bodies in a plane strain state
• Fundamental solution in the theory of thermomicrostretch elastic solids
• On the theory of thermoelasticity with microtemperatures
• Plane waves and vibrations in the theory of micropolar thermoelasticity for materials with voids
• Plane waves and eigenfrequencies in the linear theory of binary mixtures of thermoelastic solids
• On thermoelastic bodies with inner structure and microtemperatures
• On the theory of consolidation with double porosity
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Hierarchical poroelasticity: movement of interstitial fluid between porosity levels in bones
• On representations of a general solution in the theory of micropolar thermoelasticity without energy dissipation
• On the theory of consolidation with double porosity—III A finite element formulation
• On existence of eigenfrequencies in the theory of two-component elastic mixtures
• Mathematical Problems in the Theory of Bone Poroelasticity
• Multiscale modeling of elastic properties of cortical bone
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