Vibration of cracked functionally graded microplates by the strain gradient theory and extended isogeometric analysis
Author
dc.contributor.author
Nguyen, Hoang X.
Author
dc.contributor.author
Atroshchenko, Elena
Author
dc.contributor.author
Ngo, Tuan
Author
dc.contributor.author
Nguyen-Xuan, H.
Author
dc.contributor.author
Vo, Thuc P.
Admission date
dc.date.accessioned
2019-10-15T12:25:29Z
Available date
dc.date.available
2019-10-15T12:25:29Z
Publication date
dc.date.issued
2019
Cita de ítem
dc.identifier.citation
Engineering Structures, Volumen 187,
Identifier
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18737323
Identifier
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01410296
Identifier
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10.1016/j.engstruct.2019.02.032
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/171703
Abstract
dc.description.abstract
In this study, the vibration behaviours of functionally graded microplates with cracks are investigated by means of a simple yet rigorous version of Mindlin's generialised continuum and the extended isogeometric analysis (XIGA). The simplified strain gradient theory which includes one material length parameter and an additional micro-inertia term is employed to capture the size effects. Meanwhile, the displacement field of the plates is described using the refined plate theory with four unknowns and the XIGA in which enrichment functions are involved to effectively predict the responses of microplates with cracks. In addition, the IGA approach with highly smooth basis functions of non-uniform rational B-spline (NURBS) ensures a clean and efficient treatment of higher continuity requirements in the strain gradient theory. The benchmark numerical results show significant departure from those analysed by the classical continuum elasticity. Indeed, they reveal strong inf