3 papers
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…
math-ph2022
Weaving paper strips for designing of general curved surface with geometrical elasticity
Yuto Horikawa, Ryuichi Tarumi
This study proposes 'amigami' as a new method of creating a general curved surface. It conducts the shape optimization of weaving paper strips based on the theory of nonlinear elas…
math.NA2022
Geometrical Modelling and Numerical Analysis of Dislocaion Mechanics
Shunsuke Kobayashi, Ryuichi Tarumi
This study undertakes the mathematical modelling and numerical analysis of dislocations within the framework of differential geometry. The fundamental configurations, i.e. referenc…