FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2106026826> ?p ?o ?g. }

• W2106026826 endingPage "739" @default.
• W2106026826 startingPage "727" @default.
• W2106026826 abstract "The contribution deals with the treatment of the director vector and the rotational degrees of freedom in isogeometric Reissner-Mindlin shell analysis. In NURBS-based formu- lations the director vectors and the nodal coordinate systems are defined at the control points. The interpolation with the basis functions maps them to the shell reference surface. For curved geometries the interpolated director at an arbitrary point is in general neither perpendicular with respect to the shell surface nor has the correct length. Thus, basic kinematic assumptions are violated. It is shown that this is one reason for the observed degradation of numerical re- sults for shells when the polynomial order gets higher than five. In the present work a method to overcome these problems is provided. A geometrically exact Reissner-Mindlin shell formu- lation with five degrees of freedom, three displacements and two rotations, is presented. The two rotations are defined with respect to the orthogonal tangent vectors at the shell reference surface. In standard formulations the nodal coordinate system which also defines the director is constructed from the derivatives in the closest point projection of the control point. It is observed that error norms of angle and length of the interpolated director increase with the order of the basis functions. To improve the accuracy the nodal coordinate systems and di- rectors are chosen in a way, that the interpolated basis systems in all integration points are orthonormal and in correct orientation. The existence of an unique solution is shown. This leads to nodal coordinate systems which are no longer orthonormal. An interpolation, which ensures orthonormality at the integration points, is introduced. The finite element implemen- tation is tested with standard benchmark problems. In contrast to computations with nodal directors being the normal to the shell surface, deformations converge monotonically. In all computed examples the accuracy of the solution for a given mesh increases with the order of the basis functions. Simplifications in the underlying shell theory inhibit exponential conver- gence rates for curved domains. However, the proposed measures significantly improve the accuracy of computations with high order basis functions." @default.
• W2106026826 created "2016-06-24" @default.
• W2106026826 creator A5002070139 @default.
• W2106026826 creator A5054725021 @default.
• W2106026826 date "2012-01-01" @default.
• W2106026826 modified "2023-10-12" @default.
• W2106026826 title "ON THE CHOICE OF THE DIRECTOR FOR ISOGEOMETRIC REISSNER-MINDLIN SHELL ANALYSIS" @default.
• W2106026826 cites W1943321555 @default.
• W2106026826 cites W1999212791 @default.
• W2106026826 cites W2000425991 @default.
• W2106026826 cites W2009953640 @default.
• W2106026826 cites W2053113138 @default.
• W2106026826 cites W2054935900 @default.
• W2106026826 cites W2074623661 @default.
• W2106026826 cites W2083465113 @default.
• W2106026826 cites W2093564228 @default.
• W2106026826 cites W642107583 @default.
• W2106026826 hasPublicationYear "2012" @default.
• W2106026826 type Work @default.
• W2106026826 sameAs 2106026826 @default.
• W2106026826 citedByCount "0" @default.
• W2106026826 crossrefType "journal-article" @default.
• W2106026826 hasAuthorship W2106026826A5002070139 @default.
• W2106026826 hasAuthorship W2106026826A5054725021 @default.
• W2106026826 hasConcept C104114177 @default.
• W2106026826 hasConcept C11413529 @default.
• W2106026826 hasConcept C121332964 @default.
• W2106026826 hasConcept C12426560 @default.
• W2106026826 hasConcept C134306372 @default.
• W2106026826 hasConcept C137800194 @default.
• W2106026826 hasConcept C138187205 @default.
• W2106026826 hasConcept C159985019 @default.
• W2106026826 hasConcept C192562407 @default.
• W2106026826 hasConcept C208081375 @default.
• W2106026826 hasConcept C2524010 @default.
• W2106026826 hasConcept C2776799497 @default.
• W2106026826 hasConcept C2781052500 @default.
• W2106026826 hasConcept C28719098 @default.
• W2106026826 hasConcept C33923547 @default.
• W2106026826 hasConcept C47890412 @default.
• W2106026826 hasConcept C57493831 @default.
• W2106026826 hasConcept C5806529 @default.
• W2106026826 hasConcept C5917680 @default.
• W2106026826 hasConcept C62520636 @default.
• W2106026826 hasConcept C74650414 @default.
• W2106026826 hasConcept C80551277 @default.
• W2106026826 hasConcept C90119067 @default.
• W2106026826 hasConcept C98343798 @default.
• W2106026826 hasConceptScore W2106026826C104114177 @default.
• W2106026826 hasConceptScore W2106026826C11413529 @default.
• W2106026826 hasConceptScore W2106026826C121332964 @default.
• W2106026826 hasConceptScore W2106026826C12426560 @default.
• W2106026826 hasConceptScore W2106026826C134306372 @default.
• W2106026826 hasConceptScore W2106026826C137800194 @default.
• W2106026826 hasConceptScore W2106026826C138187205 @default.
• W2106026826 hasConceptScore W2106026826C159985019 @default.
• W2106026826 hasConceptScore W2106026826C192562407 @default.
• W2106026826 hasConceptScore W2106026826C208081375 @default.
• W2106026826 hasConceptScore W2106026826C2524010 @default.
• W2106026826 hasConceptScore W2106026826C2776799497 @default.
• W2106026826 hasConceptScore W2106026826C2781052500 @default.
• W2106026826 hasConceptScore W2106026826C28719098 @default.
• W2106026826 hasConceptScore W2106026826C33923547 @default.
• W2106026826 hasConceptScore W2106026826C47890412 @default.
• W2106026826 hasConceptScore W2106026826C57493831 @default.
• W2106026826 hasConceptScore W2106026826C5806529 @default.
• W2106026826 hasConceptScore W2106026826C5917680 @default.
• W2106026826 hasConceptScore W2106026826C62520636 @default.
• W2106026826 hasConceptScore W2106026826C74650414 @default.
• W2106026826 hasConceptScore W2106026826C80551277 @default.
• W2106026826 hasConceptScore W2106026826C90119067 @default.
• W2106026826 hasConceptScore W2106026826C98343798 @default.
• W2106026826 hasIssue "1" @default.
• W2106026826 hasLocation W21060268261 @default.
• W2106026826 hasOpenAccess W2106026826 @default.
• W2106026826 hasPrimaryLocation W21060268261 @default.
• W2106026826 hasRelatedWork W2142726894 @default.
• W2106026826 hasRelatedWork W2329146007 @default.
• W2106026826 hasRelatedWork W2332294382 @default.
• W2106026826 hasRelatedWork W2335173309 @default.
• W2106026826 hasRelatedWork W2595640628 @default.
• W2106026826 hasRelatedWork W2605883439 @default.
• W2106026826 hasRelatedWork W2677292742 @default.
• W2106026826 hasRelatedWork W2683415073 @default.
• W2106026826 hasRelatedWork W2740031456 @default.
• W2106026826 hasRelatedWork W2780600563 @default.
• W2106026826 hasRelatedWork W2805833005 @default.
• W2106026826 hasRelatedWork W2902020801 @default.
• W2106026826 hasRelatedWork W2904476384 @default.
• W2106026826 hasRelatedWork W2975259910 @default.
• W2106026826 hasRelatedWork W3042496675 @default.
• W2106026826 hasRelatedWork W3094122192 @default.
• W2106026826 hasRelatedWork W3202147824 @default.
• W2106026826 hasRelatedWork W337195880 @default.
• W2106026826 hasRelatedWork W339035429 @default.
• W2106026826 hasRelatedWork W2182149934 @default.
• W2106026826 hasVolume "1" @default.
• W2106026826 isParatext "false" @default.

• next