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6 - Differential Geometrical Field Theory of Dislocations and Defects

from Part II - Theoretical Backgrounds

Published online by Cambridge University Press:  14 December 2023

Tadashi Hasebe
Tadashi Hasebe
Affiliation:
Kobe University, Japan
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Summary

Descriptions of the inhomogeneity including dislocations and defects based on the differential geometry forms the basic core of FTMP. This chapter first provides the basic notions of differential geometry necessary for understanding “non-Riemannian plasticity.” The fundamental concepts and quantities are presented second, which is followed by some new features peculiar to the present field theory of multiscale plasticity.

Keywords

Differential Geometrical Field Theory (DGFT)Non-Riemannian PlasticityDislocationDisclinationDefectsTorsion TensorCurvature TensorDislocation-Density TensorIncompatibility TensorInteraction FieldGraph Theory
Type
Chapter
Information
Field Theory of Multiscale Plasticity , pp. 304 - 370
Publisher: Cambridge University Press
Print publication year: 2024

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