Kids Library Home

Welcome to the Kids' Library!

Search for books, movies, music, magazines, and more.

     
Available items only
Electronic Book
Author Cederbaum, Gabriel.

Title Poroelastic structures / Gabriel Cederbaum, LePing Li, Kalman Schulgasser.

Imprint Amsterdam ; New York ; Oxford : Elsevier, 2000.

Copies

Location Call No. OPAC Message Status
 Axe Elsevier ScienceDirect Ebook  Electronic Book    ---  Available
Edition 1st ed.
Description 1 online resource (viii, 158 pages) : illustrations
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Summary 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 <IT>controllable</IT>. In other words, it could be possible to convert such elements into <IT>intelligent</IT> or <IT>smart structures</IT>. 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
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.
Bibliography Includes bibliographical references (pages 141-144) and index.
Note Print version record.
Access Use copy Restrictions unspecified star MiAaHDL
Reproduction Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL
System Details Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
Processing Action digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
Language English.
Subject Porous materials.
Elasticity.
Elasticity
Élasticité.
TECHNOLOGY & ENGINEERING -- Material Science.
Elasticity
Porous materials
Added Author Li, Leping.
Schulgasser, Kalman.
Other Form: Print version: Cederbaum, Gabriel. Poroelastic structures. 1st ed. Amsterdam ; New York ; Oxford : Elsevier, 2000 0080436684 9780080436685 (DLC) 2001276247 (OCoLC)44786985
ISBN 9780080436685
0080436684
9780080539270
0080539270
1281038040
9781281038043
9786611038045
6611038043
Standard No. AU@ 000051859774
AU@ 000069304150
CHNEW 001005951
DEBBG BV039830846
DEBBG BV042315740
DEBSZ 367760428
NZ1 12434628
AU@ 000075311606

 
    
Available items only