Discrete Kirchhoff-Love shell quadrilateral finite element designed from cubic Hermite edge curves and Coons surface patch
We present a nonlinear discrete Kirchhoff-Love four-node shell finite element that is based on the cubic Hermite edge curves and the bilinear Coons surface patch spanning the surface between them. The cubic Hermite edge curves are constructed by minimizing the bending curvature of a spatial curve connecting two adjacent nodes of the element. The -continuity is obtained at each node of the finite element mesh. Namely, the tangent vectors of the set of the edge curves attached to a given node of the mesh share the same tangent plane to the shell mid-surface for any configuration. To avoid the membrane locking, common in shell elements with higher-order interpolations, the assumed natural strains are adopted, solving the plate compatibility equation. The derived element has 5 degrees of freedom per node, 3 mid-surface displacements and 2 rotations of the mid-surface normal vector, which also rotate the corresponding mid-surface tangent plane. Several numerical examples illustrate its performance in linear and nonlinear tests, for both regular and distorted meshes.
engineering structures
discrete Kirchhoff-Love shell quadrilateral
cubic Hermite curve
bilinear Coons patch
G1 continuity
gradbene konstrukcije
diskretni Kichoff-Love lupinasti četverokotnik
kubična Hermitova krivulja
Coonsov patch
G1 zveznost
true
true
true
Angleški jezik
Slovenski jezik
Znanstveno delo
2021-10-04 13:13:34
2021-10-04 13:13:37
2022-04-13 09:08:37
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2021
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Str. 1-20
št. nov. 108268
Letn. 168
2021
0000-00-00
Zaloznikova
Objavljeno
NiDoloceno
2021-01-28
2021-08-05
2021-08-19
624.07
0263-8231
10.1016/j.tws.2021.108268
73890819
https://doi.org/10.1016/j.tws.2021.108268
1
d5350654-2503-11ec-a523-00155dcfd717
https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=149254
Fakulteta za gradbeništvo in geodezijo
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