000015489 001__ 15489
000015489 005__ 20161115100223.0
000015489 04107 $$aeng
000015489 046__ $$k2016-08-21
000015489 100__ $$aDornisch, Wolfgang
000015489 24500 $$aDual basis functions for isogeometric solid mechanics

000015489 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015489 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015489 506__ $$arestricted
000015489 520__ $$2eng$$aThe main paradigm of isogeometric analysis is the use of a common set of basis functions for design and analysis. Thus, the basis functions of a Computer-Aided-Design (CAD) application are used for the analysis with the Finite-Element-Method (FEM). In this work the basis functions of Non-Uniform Rational B-splines (NURBS), which is the prevailing geometry definition in CAD industry, are used. The defining characteristic of dual basis functions is that the integral of their product with their associated standard basis functions yields the Kronecker delta property with respect to indices. In the case of NURBS the definition of dual basis functions is non-trivial and several possibilities exist. This work shows and compares different approaches for the dual basis functions. They are applied within the isogeometric mortar method, which is used to couple non-conforming NURBS meshes. An outlook on further applications is given.

000015489 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015489 653__ $$a

000015489 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015489 720__ $$aDornisch, Wolfgang
000015489 8560_ $$ffischerc@itam.cas.cz
000015489 8564_ $$s122530$$uhttps://invenio.itam.cas.cz/record/15489/files/TS.SM15-5.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2899, code TS.SM15-5.01
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000015489 962__ $$r13812
000015489 980__ $$aPAPER