Body tensor fields in continuum mechanics : with applications to polymer rheology /

Body Tensor Fields in Continuum Mechanics: With Applications to Polymer Rheology aims to define body tensor fields and to show how they can be used to advantage in continuum mechanics, which has hitherto been treated with space tensor fields. General tensor analysis is developed from first principle...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lodge, Arthur S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1974.
Temas:
Continuum mechanics.
Calculus of tensors.
Viscoelasticity.
Polymers > Mechanical properties.
M�ecanique des milieux continus.
Calcul tensoriel.
Visco�elasticit�e.
Polym�eres > Propri�et�es m�ecaniques.
viscoelasticity.
Calculus of tensors
Continuum mechanics
Polymers > Mechanical properties
Viscoelasticity
Rheologie
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Some mathematical prerequisites
  • The body metric tensor field
  • The kinematics of shear flow and shear-free flow
  • Cartesian vector and tensor fields
  • Relative tensors, field transfer, and the body stress tensor field
  • Constitutive equations for viscoelastic materials
  • Reduced constitutive equations for shear flow and shear-reduced flow
  • Covariant differentiation and the stress equations of motion
  • Stress measurements in unidirectional shear flow : theory
  • Constitutive predictions and experimental data
  • Relations between body- and space-tensor formalisms
  • Appendix A : Equations in cylindrical polar coordinates
  • Appendix B : Equations in spherical polar coordinate systems
  • Appendix C : Equations in orthogonal coordinate systems
  • Appendix D : Summary of definitions for unidirectional shear flow
  • Appendix E : Summary of T operations for covariant strain tensors
  • Appendix F : Calculations for viscoelastic liquids.

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