Classical and Generalized Models of Elastic Rods

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A01=D. Iesan
anisotropic elasticity
arbitrary
Arbitrary Constants
Author_D. Iesan
Body Loads
Category=PB
constants
Constitutive Equations
continuum mechanics
Cosserat theory
Couple Stress Tensor
Cross Section ?1
Cross Section Σ1
deformation analysis of elastic cylinders
Displacement Vector
Divergence Theorem
Domain ?1
Domain Σ1
Elastic Potential
End ?1
End Σ1
energy minimization methods
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equilibrium Displacement
Equilibrium Vector
Generalized Plane Strain
isotropic
Isotropic Cylinder
Isotropic Elastic Material
Lateral Boundary
linearized elasticity
material
Microrotation Vector
plane
Plane Strain Problem
porous media modeling
problem
problems
Rigid Displacement
saint
Saint Venant's Principle
Saint Venant's Problem
Saint Venant’s Principle
Saint Venant’s Problem
Single Layer Potential
Singular Integral Equations
strain
Torsion Function
Torsion Problem
venants

Product details

  • ISBN 9781420086492
  • Weight: 682g
  • Dimensions: 156 x 234mm
  • Publication Date: 14 Nov 2008
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Reflecting new developments in the study of Saint-Venant’s problem, Classical and Generalized Models of Elastic Rods focuses on the deformation of elastic cylinders for three models of continuum: classical elastic continuum, Cosserat elastic body, and porous elastic material.

The author presents a method to construct Saint-Venant’s solutions, minimum energy characterizations of these solutions, and a proof of Saint-Venant’s principle. He then discusses the deformation of nonhomogenous and isotropic cylinders as well as the problem of loaded anisotropic elastic cylinders. The book also deals with the deformation of cylinders within the linearized theory of homogeneous Cosserat elastic solids, the deformation of nonhomogeneous Cosserat cylinders, and the extension, bending, and torsion of porous elastic cylinders.

With numerous results not found in related texts, this book provides a unique, unified point of view in the theory of the deformation of elastic cylinders.

AI. I. Cuza University of Iasi, Romania Virginia Tech, Blacksburg, Virginia, USA University of Illinois, Urbana, USA

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