Introduction to continuum biomechanics /

Introduction to continuum biomechanics /

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Bibliographic Details
Author / Creator:Athanasiou, K. A. (Kyriacos A.)
Imprint:San Rafael, Calif. (1537 Fourth St, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2008.
Description:1 electronic text (xiii, 205 p. : ill.) : digital file.
Language:English
Series:Synthesis lectures on biomedical engineering, 1930-0336 ; #19
Synthesis lectures on biomedical engineering, #19.
Subject:
Biomechanics.
Continuum mechanics.
Biomechanics.
Continuum mechanics.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8512623
Hidden Bibliographic Details
Other authors / contributors:Natoli, Roman M.
ISBN:1598296183 (electronic bk.)
9781598296181 (electronic bk.)
1598296175 (pbk.)
9781598296174 (pbk.)
Notes:Title from PDF t.p. (viewed on Nov. 5, 2008).
Series from website.
Includes bibliographical references (p. 203-204).
Abstract freely available; full-text restricted to subscribers or individual document purchasers.
Also available in print.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
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.
Standard no.:10.2200/S00121ED1V01Y200805BME019
Table of 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
  • Deformation-induced 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
  • Navier-Stokes equations
  • Boundary condition
  • Important definitions
  • Classical flows
  • Non-Newtonian 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
  • Non-Newtonian behavior of blood
  • Casson equation
  • Blood rheology
  • Laminar flow of blood in a tube
  • Viscoelasticity
  • Definition of viscoelasticity
  • 1-D linear viscoelasticity (differential form based on mechanical circuit models)
  • 1-D Linear Viscoelasticity (Integral Formulation)
  • 3-D 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.

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