A computational approach to obtain nonlinearly elastic constitutive relations of special Cosserat rods
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.02.032
Abstract: Abstract We present a computational framework to obtain nonlinearly elastic constitutive relations of one-dimensional continua modeled as special Cosserat rods. The kinematics of the recently proposed Helical Cauchy–Born rule is used to construct a family… read more here.
Keywords: special cosserat; nonlinearly elastic; elastic constitutive; obtain nonlinearly ... See more keywords
Blowup of solutions for the planar motions of rotating nonlinearly elastic rods
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DOI: 10.1016/j.ijnonlinmec.2016.09.006
Abstract: Abstract This paper treats the motion of flexible, extensible, shearable nonlinearly elastic rods, described by a geometrically exact theory, when they are confined to a plane rotating about a fixed axis at constant angular speed… read more here.
Keywords: elastic rods; planar motions; blowup solutions; solutions planar ... See more keywords
Intrinsic formulation of the Kirchhoff–Love theory of nonlinearly elastic plates
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DOI: 10.1177/10812865221114399
Abstract: The classical Kirchhoff–Love theory of a nonlinearly elastic plate provides a way to compute the deformation of such a plate subjected to given applied forces and boundary conditions by solving the Euler–Lagrange equation associated with… read more here.
Keywords: plate; theory nonlinearly; nonlinearly elastic; love theory ... See more keywords