Poroelastic Structures

Author: Cederbaum   G.;Li   L. P.;Schulgasser   K.  

Publisher: Elsevier Science‎

Publication year: 2000

E-ISBN: 9780080539270

P-ISBN(Paperback): 9780080436685

P-ISBN(Hardback):  9780080436685

Subject: P57 mineralogy

Language: ENG

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Description

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 changes in the pores.
This book is devoted to the analysis of fluid-saturated poroelastic beams, columns and plates made of materials for which diffusion in the longitudinal direction(s) is viable, while in the perpendicular direction(s) the flow can be considered negligible because of the micro-geometry of the solid skeletal material. Many microstructures and fabrication schemes could be imagined, which would produce bulk materials with the postulated behavior. The book provides a methodology and a theoretical basis for investigating the mechanical behaviors of the structural elements made of such materials. It is recognized that the response of the poroelastic structural element to loading is sensitive to the properties of the fluid and to the diffusion boundaries, which can be easily altered in practice. Therefore, such structural elements and thus their features are potentially controllable. In other words, it could be possible to convert such elements into intelligent or smart structures. If this is so, it would be interesting that such structural elements could work as both sensors and actuators, e.g. the fluid can "feel" the change of the temperature

Chapter

Front Cover

pp.:  1 – 4

POROELASTIC STRUCTURES

pp.:  4 – 5

Copytight Page

pp.:  5 – 8

Contents

pp.:  8 – 10

Chapter 1. Introduction

pp.:  10 – 18

Chapter 2. Modeling of poroelastic beams

pp.:  18 – 28

Chapter 3. Analytical solutions for quasi-static beams

pp.:  28 – 42

Chapter 4. Finite element formulation and solutions for quasi-static beams

pp.:  42 – 62

Chapter 5. Vibrations of poroelastic beams

pp.:  62 – 76

Chapter 6. Large deflection analysis of poreolastic beams

pp.:  76 – 98

Chapter 7. Stability of poroelastic columns

pp.:  98 – 120

Chapter 8. Analysis of poroelastic plates

pp.:  120 – 144

Chapter 9. Closure

pp.:  144 – 150

REFERENCES

pp.:  150 – 154

Appendix A. Proof of the variational principles

pp.:  154 – 158

Appendix B. A finite element for poroelastic beams

pp.:  158 – 160

Appendix C. Several useful Laplace inverse transformations

pp.:  160 – 162

Appendix D. Coefficients in difference formulas

pp.:  162 – 164

Appendix E. Determination of boundary values at x1 for the finite difference method

pp.:  164 – 166

SUBJECT INDEX

pp.:  166 – 168

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