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Blended isogeometric shells. (English) Zbl 1297.74114

Summary: We propose a new isogeometric shell formulation that blends Kirchhoff-Love theory with Reissner-Mindlin theory. This enables us to reduce the size of equation systems by eliminating rotational degrees of freedom while simultaneously providing a general and effective treatment of kinematic constraints engendered by shell intersections, folds, boundary conditions, the merging of NURBS patches, etc. We illustrate the blended theory’s performance on a series of test problems.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K25 Shells
74S30 Other numerical methods in solid mechanics (MSC2010)
65D17 Computer-aided design (modeling of curves and surfaces)
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Software:

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Full Text: DOI

References:

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