000004871 001__ 4871
000004871 005__ 20141119144600.0
000004871 04107 $$aeng
000004871 046__ $$k2002-06-02
000004871 100__ $$aDasgupta, Gautam
000004871 24500 $$aTHREE NODE CURVED FINITE ELEMENTS

000004871 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004871 260__ $$bColumbia University in the City of New York
000004871 506__ $$arestricted
000004871 520__ $$2eng$$aFinite element discretization of an arbitrary two-dimensional region with curved boundary segments is considered. The interior is covered with convex polygons of n−sides, vide ref. (1). In thermomechanical problems, the finite element shape functions for the interior elements should be able to reproduce the constant temperature and strain fields exactly in regions with piecewise linear boundary segments, i.e., each such element must pass the patch test. In order to attain higher precision, the curved boundary is not approximated with piecewise linear segments. When the interior is covered with Wachspress polygonal elements, curved elements are merely “glued” only on the boundary of convex n−gons. Such curved elements (since they are restricted only to the boundary) do not enter in any arbitrary patch hence are exempt from the reproduction of linear displacement fields associated with constant strains. All elements should abide by the Chebycheff conditions: Ni (x) ≥ 0, x∈Ω (1) in order to be meaningful in interpolating temperature field. Furthermore, the uniform field should be exactly reproduced: Ni (x) = 1, x ∈ Ω (2) Here we construct interpolants Ni , equations (1) and (2) on Ω.

000004871 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004871 653__ $$a

000004871 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004871 720__ $$aDasgupta, Gautam
000004871 8560_ $$ffischerc@itam.cas.cz
000004871 8564_ $$s595324$$uhttps://invenio.itam.cas.cz/record/4871/files/462.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004871 962__ $$r4594
000004871 980__ $$aPAPER