Poroelastic Structures

Name: Poroelastic Structures
Availability: OutOfStock
ISBN: 9780080436685

ISBN-10: 0080436684

ISBN-13: 9780080436685

Edition: 2000

Authors: G. Cederbaum, L. P. Li, K. Schulgasser

List price: $210.00

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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 by changing its viscosity and this results in a change of the behavior of the structure. The present book is the first of its kind; there does not exist in the professional literature any book which deals with this subject. Chapter 1 is a general introduction and overview. The governing equations for beams are presented in Chapter 2. Chapter 3 then presents analytical solutions for the quasi-static bending problem. Series solutions are found for normal loading with various mechanical and diffusion boundary conditions. The finite element method is developed and employed for the quasi-static beams and columns with small deflections in Chapter 4. In Chapter 5 solutions are found for free and forced vibrations of poroelastic beams. Chapter 6 deals with large deflections of beams. The stability of poroelastic columns is investigated in Chapter 7. Three problems are considered: buckling, post-buckling, and dynamic stability. Formulations are found in Chapter 8 for fluid-saturated poroelastic plates consisting of a material, for which the diffusion is possible in the in-plane directions only, both for bending and for in-plane loading. This book attempts to constitute a reasonably self-contained presentation of a wide spectrum of problems related to the analysis of the type of poroelastic structure considered.

Book details

List price: $210.00
Copyright year: 2000
Publisher: Elsevier Science & Technology
Publication date: 7/12/2000
Binding: Hardcover
Pages: 168
Size: 6.69" wide x 9.45" long x 0.50" tall
Weight: 0.990
Language: English



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; 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


Analytical solutions for quasi-static bending


Transverse vibrations of simply supported plates


Closure


Appendices


Subject index