Poroelastic Structures - 1st Edition - ISBN: 9780080436685, 9780080539270

Poroelastic Structures

1st Edition

Editors: G. Cederbaum L. P. Li K. Schulgasser
Hardcover ISBN: 9780080436685
eBook ISBN: 9780080539270
Imprint: Elsevier Science
Published Date: 12th July 2000
Page Count: 168
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Description

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. Governing equations. Equations in non-dimensional forms when &egr;0 =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. Bending equations in non-dimensional form. Analytical solutions for Quasi-static bending. Transverse vibrations of simply supported plates. Closure. References. Appendices.

Readership

For mechanical, bio-mechanical, civil and aerospace engineers and undergraduates and graduates specialising in the area of poroelasticity.

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. Governing equations. Equations in non-dimensional forms when &egr;0 =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. Bending equations in non-dimensional form. Analytical solutions for Quasi-static bending. Transverse vibrations of simply supported plates. Closure. References. Appendices.

Details

No. of pages:
168
Language:
English
Copyright:
© Elsevier Science 2000
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080539270
Hardcover ISBN:
9780080436685

About the Editor

G. Cederbaum

Affiliations and Expertise

Department of Mechanical Engineering, Ben-Gurion University of the Negev, PO Box 653, Beer-Sheva 84105, Israel

L. P. Li

Affiliations and Expertise

Biomedical Engineering Institute, Ecole Polytechnique of Montreal, Canada

K. Schulgasser

Affiliations and Expertise

Department of Mechanical Engineering, Ben-Gurion University of the Negev, PO Box 653, Beer-Sheva 84105, Israel