The Resource Poroelastic structures, Gabriel Cederbaum, LePing Li, Kalman Schulgasser
Poroelastic structures, Gabriel Cederbaum, LePing Li, Kalman Schulgasser
 Summary
 Poroelasticity is a continuum theory for the analysis of a porous media consisting of an elastic matrix containing interconnected fluidsaturated 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 fluidsaturated 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 microgeometry 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 quasistatic 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 quasistatic 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, postbuckling, and dynamic stability. Formulations are found in Chapter 8 for fluidsaturated poroelastic plates consisting of a material, for which the diffusion is possible in the inplane directions only, both for bending and for inplane loading. This book attempts to constitute a reasonably selfcontained presentation of a wide spectrum of problems related to the analysis of the type of poroelastic structure considered
 Language
 eng
 Edition
 1st ed.
 Extent
 1 online resource (viii, 158 pages)
 Contents

 Introduction. Modeling of Poroelastic Beams. Basic equations. Characteristic times. Note on a beam impermeable at both ends. Equations in nondimensional form. Analytical Solutions for QuasiStatic Beams. Simplysupported beams with permeable ends. Beams subjected to loads suddenly applied and constant thereafter. Finite Element Formulation and Solutions for QuasiStatic 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 nondimensional 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. Timedependence of critical load and deflections. Postbuckling: formulation. Postbuckling: 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 quasistatic bending. Transverse vibrations of simply supported plates. Closure. Appendices. Subject index
 Isbn
 9780080436685
 Label
 Poroelastic structures
 Title
 Poroelastic structures
 Statement of responsibility
 Gabriel Cederbaum, LePing Li, Kalman Schulgasser
 Language
 eng
 Summary
 Poroelasticity is a continuum theory for the analysis of a porous media consisting of an elastic matrix containing interconnected fluidsaturated 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 fluidsaturated 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 microgeometry 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 quasistatic 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 quasistatic 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, postbuckling, and dynamic stability. Formulations are found in Chapter 8 for fluidsaturated poroelastic plates consisting of a material, for which the diffusion is possible in the inplane directions only, both for bending and for inplane loading. This book attempts to constitute a reasonably selfcontained presentation of a wide spectrum of problems related to the analysis of the type of poroelastic structure considered
 Cataloging source
 OPELS
 Illustrations
 illustrations
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Label
 Poroelastic structures, Gabriel Cederbaum, LePing Li, Kalman Schulgasser
 Bibliography note
 Includes bibliographical references (pages 141144) and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction. Modeling of Poroelastic Beams. Basic equations. Characteristic times. Note on a beam impermeable at both ends. Equations in nondimensional form. Analytical Solutions for QuasiStatic Beams. Simplysupported beams with permeable ends. Beams subjected to loads suddenly applied and constant thereafter. Finite Element Formulation and Solutions for QuasiStatic 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 nondimensional 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. Timedependence of critical load and deflections. Postbuckling: formulation. Postbuckling: 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 quasistatic bending. Transverse vibrations of simply supported plates. Closure. Appendices. Subject index
 http://library.link/vocab/cover_art
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 {'f': 'http://opac.lib.rpi.edu/record=b4169905'}
 Edition
 1st ed.
 Extent
 1 online resource (viii, 158 pages)
 Form of item
 online
 Isbn
 9780080436685
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 illustrations
 Reproduction note
 Electronic reproduction.
 Specific material designation
 remote
 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.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/PoroelasticstructuresGabrielCederbaumLePing/sxFbd37pT2U/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/PoroelasticstructuresGabrielCederbaumLePing/sxFbd37pT2U/">Poroelastic structures, Gabriel Cederbaum, LePing Li, Kalman Schulgasser</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>