Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Nadia Chouaieb"'
We study a Riemannian metric on the cone of symmetric positive-definite matrices obtained from the Hessian of the power potential function $(1-\det(X)^\beta)/\beta$. We give explicit expressions for the geodesics and distance function, under suitable
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ed44a03e2964a87587a85edf71936cf
Autor:
Nadia Chouaieb, John H. Maddocks
Publikováno v:
Journal of Elasticity. 77:221-247
It is demonstrated that a uniform and hyperelastic, but otherwise arbitrary, nonlinear Cosserat rod subject to appropriate end loadings has equilibria whose center lines form two-parameter families of helices. The absolute energy minimizer that arise
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6916d858780f53ea44445dd5271b6461
https://doi.org/10.1007/s10659-005-0931-z
https://doi.org/10.1007/s10659-005-0931-z
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America. 103(25)
Helices are among the simplest shapes that are observed in the filamentary and molecular structures of nature. The local mechanical properties of such structures are often modeled by a uniform elastic potential energy dependent on bending and twist,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84b93911894aa0932929659966cf968d
http://ora.ox.ac.uk/objects/uuid:de8980a9-3d28-4b7e-9dad-e733ae59fe17
http://ora.ox.ac.uk/objects/uuid:de8980a9-3d28-4b7e-9dad-e733ae59fe17