Poroelastic structures

• Main Author: Cederbaum, Gabriel
• Corporate Author: ScienceDirect (Online service)
• Other Authors: Li, LePing, Schulgasser, Kalman
• Format: Electronic Book
• Language: English
• Published: Amsterdam New York Oxford Elsevier 2000
• Edition: 1st ed
• Subjects: Πορώδη υλικά; Elasticity

Poroelasticity is a continuum theory for the analysis of a porous media consisting of an elastic matrix containing interconnected fluid-saturated pores. In physical terms the theory postulates that when a porous material is subjected to stress, the resulting matrix deformation leads to volumetric ch...

Table of Contents:

• Introduction. Modeling of Poroelastic Beams. Basic equations. Characteristic times. Note on a beam impermeable at both ends. Equations in non-dimensional form. Analytical Solutions for Quasi-Static Beams. Simply-supported beams with permeable ends. Beams subjected to loads suddenly applied and constant thereafter. Finite Element Formulation and Solutions for Quasi-Static Beams. Introduction. Variational principles. Finite element formulation. Examples and discussion. Vibrations of Poroelastic Beams. Initial value problems. Forced harmonic vibrations. Closure. Large Deflection Analysis of Poroelastic Beams. Governing equations. Equations in non-dimensional forms when &egr;<INF>0</INF> =0. Numerical formulation. Numerical procedure for the finite difference method. Examples and discussion. Stability of Poroelastic Columns. Buckling of columns. Limits of critical load. Time-dependence of critical load and deflections. Post-buckling: formulation. Post-buckling: results and discussion. Imperfection sensitivity. Dynamic stability of poroelastic columns. Stability boundaries and critical load amplitude. Analysis of Poroelastic Plates. Basic equations for thin plates. Analytical solutions for quasi-static bending. Transverse vibrations of simply supported plates. Closure. Appendices. Subject index