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A Condition for Classical Elastic Curves on Surface
In this paper, we consider two fixed points p to q on a Riemannian surface M in 3-dimensional Euclidean space. We obtain a condition for classical elastic curves with in the family of all curves from p to q on M. We also prove that this condition can be expressed in terms of the curvature functions.
openaire +3 more sources
When and by whom was the curved tip of a gumāelastic bougie first introduced? [PDF]
H. Toyoyama+2 more
openalex +1 more source
Microscopic research on failure law of cemented gangue backfill body under different loading rates
Based on the laboratory uniaxial compression test, a numerical model was established by particle flow software and the microscopic parameters were calibrated.
Xiaoyu WU+4 more
doaj +1 more source
Shape optimization of curves and surfaces considering fairness metrics and elastic stiffness [PDF]
Makoto Ohsaki, Toru Ogawa, Rie Tateishi
openalex +1 more source
Deforming Locally Convex Curves into Curves of Constant $k$-order Width [PDF]
A nonlocal curvature flow is introduced to evolve locally convex curves in the plane. It is proved that this flow with any initial locally convex curve has a global solution, keeping the local convexity and the elastic energy of the evolving curve, and that, as the time goes to infinity, the curve converges to a smooth, locally convex curve of constant
arxiv
Backscattering from spherical elastic inclusions and accuracy of the Kirchhoff approximation for curved interfaces [PDF]
David W. Eaton
openalex +1 more source
The Pacitan Regency of Indonesia is located in an area of high seismic activities. Regrettably, field surveys held in Pacitan Regency, Indonesia have revealed the prevalence of low-income housing structures that do not meet the engineering standards and ...
Kristiawan Stefanus Adi+5 more
doaj +1 more source
Planning rigid body motions using elastic curves [PDF]
James Biggs, William Holderbaum
openalex +1 more source
Discontinuous depinning/yielding transition of elastic manifolds with tailored internal elasticity [PDF]
We consider elastic manifolds evolving on disordered energy potentials under the action of an external uniform driving. This scenario includes the cases of {\em depinning} and {\em yielding}, which provide paradigmatic examples of out of equilibrium phase transitions.
arxiv