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Computational Mechanics
Erschienen in: Computational Mechanics 6/2018

08.03.2018 | Original Paper

Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach

verfasst von: Nhon Nguyen-Thanh, Weidong Li, Kun Zhou

Erschienen in: Computational Mechanics | Ausgabe 6/2018

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Abstract

This paper develops a coupling approach which integrates the meshfree method and isogeometric analysis (IGA) for static and free-vibration analyses of cracks in thin-shell structures. In this approach, the domain surrounding the cracks is represented by the meshfree method while the rest domain is meshed by IGA. The present approach is capable of preserving geometry exactness and high continuity of IGA. The local refinement is achieved by adding the nodes along the background cells in the meshfree domain. Moreover, the equivalent domain integral technique for three-dimensional problems is derived from the additional Kirchhoff–Love theory to compute the J-integral for the thin-shell model. The proposed approach is able to address the problems involving through-the-thickness cracks without using additional rotational degrees of freedom, which facilitates the enrichment strategy for crack tips. The crack tip enrichment effects and the stress distribution and displacements around the crack tips are investigated. Free vibrations of cracks in thin shells are also analyzed. Numerical examples are presented to demonstrate the accuracy and computational efficiency of the coupling approach.
Vorheriger Artikel Stochastic hyperelastic modeling considering dependency of material parameters
Nächster Artikel An efficient spectral crystal plasticity solver for GPU architectures

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Metadaten
Titel
Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach
verfasst von
Nhon Nguyen-Thanh
Weidong Li
Kun Zhou
Publikationsdatum
08.03.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 6/2018
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-018-1564-y

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