Differential Geometry and Continuum Mechanics

Differential Geometry and Continuum Mechanics

This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the...

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Bibliographic Details
Published in:Springer eBooks
Corporate Author: SpringerLink (Online service)
Other Authors: Chen, Gui-Qiang G. (Editor), Grinfeld, Michael (Editor), Knops, R. J. (Editor)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Springer Proceedings in Mathematics & Statistics,
Subjects:
mathematics.
Partial Differential Equations.
Mathematical physics.
Differential Geometry.
physics.
Continuum mechanics.
Materials Science.
Mathematics.
Mathematical Applications in the Physical Sciences.
Mathematical Methods in Physics.
Continuum Mechanics and Mechanics of Materials.
Materials Science, general.
Online Access:http://dx.doi.org/10.1007/978-3-319-18573-6
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Table of Contents:
  • Compensated compactness with more geometry
  • GLOBAL ISOMETRIC EMBEDDING OF SURFACES IN R3
  • Singular perturbation problems involving curvature
  • Lectures on the Isometric Embedding Problem(Mn, g) → IRm, m = n2 (n + 1)
  • Continuum mechanics of the interaction of phase boundaries and dislocations in solids
  • Manifolds in a theory of microstructures
  • On the Geometry and Kinematics of Smoothly Distributed and Singular Defects
  • Non-Metricity and the Nonlinear Mechanics of Distributed Point Defects
  • Are microcontinuum field theories of elasticity amenable to experiments? - A review of some recent results
  • ON THE VARIATIONAL LIMITS OF LATTICE ENERGIES ON PRESTRAINED ELASTIC BODIES
  • Static Elasticity in a Riemannian Manifold
  • Calculating the bending moduli of the Canham-Helfrich free-energy density
  • Elasticity of Twist-Bend Nematic Phases.

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