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cond-mat.mtrl-sci2024
Revisiting Volterra defects: Geometrical relation between edge dislocations and wedge disclinations
Shunsuke Kobayashi, Katsumi Takemasa, Ryuichi Tarumi
This study presents a comprehensive mathematical model for Volterra defects and explores their relations using differential geometry on Riemann--Cartan manifolds. Following the sta…
cond-mat.mtrl-sci2024
Biot-Savart law in the geometrical theory of dislocations
Shunsuke Kobayashi, Ryuichi Tarumi
Universal mechanical principles may exist behind seemingly unrelated physical phenomena, providing novel insights into these phenomena. This study sheds light on the geometrical th…
cond-mat.mtrl-sci2024
Geometrical frustration in nonlinear mechanics of screw dislocation
Shunsuke Kobayashi, Ryuichi Tarumi
The existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations.…