Basic problems of fibre-reinforced structural components when fibres resist bending

Farhat, Ali Farag (2013) Basic problems of fibre-reinforced structural components when fibres resist bending. PhD thesis, University of Nottingham.

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This thesis generates certain sets of analytical and approximate solutions to a new class of partial differential equations stemming from a version of asymmetricstress elasticity theory appropriate for the study and prediction of the behaviour of fibre-reinforced materials containing fibres that resist bending. These new solutions are of theoretical and practical interest in the static and dynamic analysis of thinwalled, linearly elastic fibre-reinforced structures influenced by couple-stress and unsymmetric stress due to fibre bending stiffness. The static and free vibration solutions are constructed considering bending resistance fibres in a small deformation of beams and plates. Numerical results for displacements, stresses, couple-stress and natural frequencies of vibration are provided to investigate the influence of the fibres resistance in bending on the deformed beams and plates.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Parry, G.P.
Soldatos, K.
Subjects: Q Science > QA Mathematics > QA299 Analysis
T Technology > TA Engineering (General). Civil engineering (General) > TA 365 Acoustics in engineering. Acoustical engineering
Faculties/Schools: UK Campuses > Faculty of Science > School of Mathematical Sciences
Item ID: 31095
Depositing User: Lashkova, Mrs Olga
Date Deposited: 16 Dec 2015 11:00
Last Modified: 16 Dec 2017 10:21

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