The Resource Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book)
Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book)
Resource Information
The item Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 This book is concerned with the study of continuum mechanics applied to biological systems, i.e., continuum biomechanics. This vast and exciting subject allows description of when a bone may fracture due to excessive loading, how blood behaves as both a solid and fluid, down to how cells respond to mechanical forces that lead to changes in their behavior, a process known as mechanotransduction. We have written for senior undergraduate students and first year graduate students in mechanical or biomedical engineering, but individuals working at biotechnology companies that deal in biomaterials or biomechanics should also find the information presented relevant and easily accessible
 Language
 eng
 Extent
 xiii, 205 p. : ill.
 Contents

 Introduction
 Tensor calculus
 Indicial notation
 Tensors
 Tensor symmetry, principle values, and principal directions
 Other useful tensor relationships
 Kinematics of a continuum
 Description of the motion of a continuum
 Material vs. spatial description
 Material derivative
 Deformationinduced strain
 Principal strains
 Dilatation
 Rate of deformation
 Continuity equation (conservation of mass)
 Stress
 Stress vector ("traction")
 Stress tensor and its components
 Principle of moment of momentum (proof of stress tensor symmetry)
 Principal stresses
 Maximum shear stress
 Equations of motion (conservation of linear momentum)
 Boundary condition for the stress tensor
 Alternative stress definitions
 Demonstrations
 Problems
 Elasticity
 General elasticity
 Experimental observations of infinitesimal linear elasticity
 Linearly elastic solid
 Isotropic linearly elastic solid
 Material properties of elastic materials
 Equations of the infinitesimal theory of elasticity
 Compatibility conditions for infinitesimal strain conditions
 Classical problems in elasticity
 Planar approximations (D simplification)
 Anisotropic linear elasticity
 Problems
 Fluids
 Introduction to fluids
 Hydrostatics
 Newtonian viscous fluid
 Meaning of l and m
 Incompressible Newtonian fluid
 NavierStokes equations
 Boundary condition
 Important definitions
 Classical flows
 NonNewtonian fluids
 Vorticity vector
 Irrotational flow
 Irrotational flow of an inviscid incompressible fluid
 Blood and circulation
 Basics and material properties of blood
 Reynolds numbers for blood
 NonNewtonian behavior of blood
 Casson equation
 Blood rheology
 Laminar flow of blood in a tube
 Viscoelasticity
 Definition of viscoelasticity
 1D linear viscoelasticity (differential form based on mechanical circuit models)
 1D Linear Viscoelasticity (Integral Formulation)
 3D Linear Viscoelasticity
 Boundary value problems and the correspondence principle
 Dynamic behavior of viscoelastic materials
 Limiting cases of linear viscoelasticity are the Hookean solid and Newtonian viscous fluid
 Poroelasticity and thermoelasticity
 Poroelasticity
 Thermoelasticity
 Biphasic theory
 Conservation of mass Conservation of momentum
 Constitutive equations
 Summary and equations of motion
 Confined compression
 Unconfined compression
 Isbn
 9781598296174
 Label
 Introduction to continuum biomechanics
 Title
 Introduction to continuum biomechanics
 Statement of responsibility
 Kyriacos A. Athanasiou and Roman M. Natoli
 Language
 eng
 Summary
 This book is concerned with the study of continuum mechanics applied to biological systems, i.e., continuum biomechanics. This vast and exciting subject allows description of when a bone may fracture due to excessive loading, how blood behaves as both a solid and fluid, down to how cells respond to mechanical forces that lead to changes in their behavior, a process known as mechanotransduction. We have written for senior undergraduate students and first year graduate students in mechanical or biomedical engineering, but individuals working at biotechnology companies that deal in biomaterials or biomechanics should also find the information presented relevant and easily accessible
 Cataloging source
 ABC
 http://library.link/vocab/creatorName
 Athanasiou, Kyriacos A
 Dewey number
 571.4/3
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QH513
 LC item number
 .A845 2008
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName
 Natoli, Roman M
 Series statement
 Synthesis lectures on biomedical engineering
 Series volume
 19.
 http://library.link/vocab/subjectName

 Biomechanics
 Continuum mechanics
 Target audience
 adult
 Label
 Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book)
 Bibliography note
 Includes bibliographical references (p. 203204)
 Color
 multicolored
 Contents
 Introduction  Tensor calculus  Indicial notation  Tensors  Tensor symmetry, principle values, and principal directions  Other useful tensor relationships  Kinematics of a continuum  Description of the motion of a continuum  Material vs. spatial description  Material derivative  Deformationinduced strain  Principal strains  Dilatation  Rate of deformation  Continuity equation (conservation of mass)  Stress  Stress vector ("traction")  Stress tensor and its components  Principle of moment of momentum (proof of stress tensor symmetry)  Principal stresses  Maximum shear stress  Equations of motion (conservation of linear momentum)  Boundary condition for the stress tensor  Alternative stress definitions  Demonstrations  Problems  Elasticity  General elasticity  Experimental observations of infinitesimal linear elasticity  Linearly elastic solid  Isotropic linearly elastic solid  Material properties of elastic materials  Equations of the infinitesimal theory of elasticity  Compatibility conditions for infinitesimal strain conditions  Classical problems in elasticity  Planar approximations (D simplification)  Anisotropic linear elasticity  Problems  Fluids  Introduction to fluids  Hydrostatics  Newtonian viscous fluid  Meaning of l and m  Incompressible Newtonian fluid  NavierStokes equations  Boundary condition  Important definitions  Classical flows  NonNewtonian fluids  Vorticity vector  Irrotational flow  Irrotational flow of an inviscid incompressible fluid  Blood and circulation  Basics and material properties of blood  Reynolds numbers for blood  NonNewtonian behavior of blood  Casson equation  Blood rheology  Laminar flow of blood in a tube  Viscoelasticity  Definition of viscoelasticity  1D linear viscoelasticity (differential form based on mechanical circuit models)  1D Linear Viscoelasticity (Integral Formulation)  3D Linear Viscoelasticity  Boundary value problems and the correspondence principle  Dynamic behavior of viscoelastic materials  Limiting cases of linear viscoelasticity are the Hookean solid and Newtonian viscous fluid  Poroelasticity and thermoelasticity  Poroelasticity  Thermoelasticity  Biphasic theory  Conservation of mass Conservation of momentum  Constitutive equations  Summary and equations of motion  Confined compression  Unconfined compression
 Dimensions
 unknown
 Extent
 xiii, 205 p. : ill.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781598296174
 Reformatting quality
 access
 Reproduction note
 Electronic resource.
 Specific material designation
 remote
 System details
 System requirements: Adobe Acrobat Reader
 Label
 Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book)
 Bibliography note
 Includes bibliographical references (p. 203204)
 Color
 multicolored
 Contents
 Introduction  Tensor calculus  Indicial notation  Tensors  Tensor symmetry, principle values, and principal directions  Other useful tensor relationships  Kinematics of a continuum  Description of the motion of a continuum  Material vs. spatial description  Material derivative  Deformationinduced strain  Principal strains  Dilatation  Rate of deformation  Continuity equation (conservation of mass)  Stress  Stress vector ("traction")  Stress tensor and its components  Principle of moment of momentum (proof of stress tensor symmetry)  Principal stresses  Maximum shear stress  Equations of motion (conservation of linear momentum)  Boundary condition for the stress tensor  Alternative stress definitions  Demonstrations  Problems  Elasticity  General elasticity  Experimental observations of infinitesimal linear elasticity  Linearly elastic solid  Isotropic linearly elastic solid  Material properties of elastic materials  Equations of the infinitesimal theory of elasticity  Compatibility conditions for infinitesimal strain conditions  Classical problems in elasticity  Planar approximations (D simplification)  Anisotropic linear elasticity  Problems  Fluids  Introduction to fluids  Hydrostatics  Newtonian viscous fluid  Meaning of l and m  Incompressible Newtonian fluid  NavierStokes equations  Boundary condition  Important definitions  Classical flows  NonNewtonian fluids  Vorticity vector  Irrotational flow  Irrotational flow of an inviscid incompressible fluid  Blood and circulation  Basics and material properties of blood  Reynolds numbers for blood  NonNewtonian behavior of blood  Casson equation  Blood rheology  Laminar flow of blood in a tube  Viscoelasticity  Definition of viscoelasticity  1D linear viscoelasticity (differential form based on mechanical circuit models)  1D Linear Viscoelasticity (Integral Formulation)  3D Linear Viscoelasticity  Boundary value problems and the correspondence principle  Dynamic behavior of viscoelastic materials  Limiting cases of linear viscoelasticity are the Hookean solid and Newtonian viscous fluid  Poroelasticity and thermoelasticity  Poroelasticity  Thermoelasticity  Biphasic theory  Conservation of mass Conservation of momentum  Constitutive equations  Summary and equations of motion  Confined compression  Unconfined compression
 Dimensions
 unknown
 Extent
 xiii, 205 p. : ill.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781598296174
 Reformatting quality
 access
 Reproduction note
 Electronic resource.
 Specific material designation
 remote
 System details
 System requirements: Adobe Acrobat Reader
Library Links
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/IntroductiontocontinuumbiomechanicsKyriacos/ljtB3i7MUI4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/IntroductiontocontinuumbiomechanicsKyriacos/ljtB3i7MUI4/">Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/IntroductiontocontinuumbiomechanicsKyriacos/ljtB3i7MUI4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/IntroductiontocontinuumbiomechanicsKyriacos/ljtB3i7MUI4/">Introduction to continuum biomechanics, Kyriacos A. Athanasiou and Roman M. Natoli, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>