10 citations · 19 across the 9 of their papers we have counts for
9 papers
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…
Curling morphology of knitted fabrics: Structure and Mechanics
Kotone Tajiri, Riki Murakami, Shunsuke Kobayashi +2
Knitted fabrics are two-dimensional-like structures formed by stitching one-dimensional yarn into three-dimensional curves. Plain stitch or stockinette stitch, one of the most fund…
Snap and Jump: How Elastic Shells Pop Out
Takara Abe, Isamu Hashiguchi, Yukitake Nakahara +5
Grip, walk, crawl, and jump. Soft robots are integrated functional structures composed of compliant mechanisms, whose activity spans various industrial applications such as surgery…
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…
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.…
Analytical Expression for Fracture Profile in Viscoelastic Crack Propagation
Hokuto Nagatakiya, Naoyuki Sakumichi, Shunsuke Kobayashi +1
We derive an analytical expression for the strain field during steady-state crack propagation in viscoelastic solids described by the standard linear solid (Zener) model. This expr…
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…
Convergence of a finite difference scheme for the Kuramoto--Sivashinsky equation defined on an expanding circle
Shunsuke Kobayashi, Shigetoshi Yazaki
This paper presents a finite difference method combined with the Crank--Nicolson scheme of the Kuramoto--Sivashinsky equation defined on an expanding circle (\cite{KUY}), and the e…
Atiyah-Patodi-Singer index theorem from axial anomaly
Shun K. Kobayashi, Kazuya Yonekura
We give a very simple derivation of the Atiyah-Patodi-Singer (APS) index theorem and its small generalization by using the path integral of massless Dirac fermions. It is based on…