Journal article

Vibration of cracked functionally graded microplates by the strain gradient theory and extended isogeometric analysis

Hoang X Nguyen, Elena Atroshchenko, Ngo Tuan, H Nguyen-Xuan, Thuc P Vo

ENGINEERING STRUCTURES | ELSEVIER SCI LTD | Published : 2019

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-unifor..

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University of Melbourne Researchers

Grants

Awarded by CONICYT


Funding Acknowledgements

The first and last authors gratefully acknowledge the financial support from the Northumbria University via the Researcher Development Framework. The second and the first authors would like to acknowledge the financial support from CONICYT REDI170090 and the Santander Universities Mobility Grant for the research visit at the University of Chile in March 2018.