On the geometry of a dislocated medium
Jeffrey Comer, Ruslan Sharipov
TL;DR
This paper explores the differential geometric structures underlying the kinematics of dislocated crystalline media in real space, providing a geometric perspective on their behavior.
Contribution
It introduces a differential geometric framework for understanding the kinematics of dislocated crystalline media in purely real space.
Findings
Revealed geometric structures related to dislocated media
Connected differential equations with geometric interpretations
Enhanced understanding of dislocation kinematics
Abstract
Purely real space versions of the differential equations describing the kinematics of a dislocated crystalline medium are considered. The differential geometric structures associated with them are revealed.
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Taxonomy
TopicsGeotechnical and Geomechanical Engineering · Advanced Mathematical Modeling in Engineering · Elasticity and Wave Propagation