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

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 res...

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Main Author: Farhat, Ali Farag
Format: Thesis (University of Nottingham only)
Language:English
Published: 2013
Online Access:https://eprints.nottingham.ac.uk/31095/
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author Farhat, Ali Farag
author_facet Farhat, Ali Farag
author_sort Farhat, Ali Farag
building Nottingham Research Data Repository
collection Online Access
description 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.
first_indexed 2025-11-14T19:11:15Z
format Thesis (University of Nottingham only)
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institution University of Nottingham Malaysia Campus
institution_category Local University
language English
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publishDate 2013
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spelling nottingham-310952025-02-28T11:45:55Z https://eprints.nottingham.ac.uk/31095/ Basic problems of fibre-reinforced structural components when fibres resist bending Farhat, Ali Farag 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. 2013-07-10 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/31095/1/598045.pdf Farhat, Ali Farag (2013) Basic problems of fibre-reinforced structural components when fibres resist bending. PhD thesis, University of Nottingham.
spellingShingle Farhat, Ali Farag
Basic problems of fibre-reinforced structural components when fibres resist bending
title Basic problems of fibre-reinforced structural components when fibres resist bending
title_full Basic problems of fibre-reinforced structural components when fibres resist bending
title_fullStr Basic problems of fibre-reinforced structural components when fibres resist bending
title_full_unstemmed Basic problems of fibre-reinforced structural components when fibres resist bending
title_short Basic problems of fibre-reinforced structural components when fibres resist bending
title_sort basic problems of fibre-reinforced structural components when fibres resist bending
url https://eprints.nottingham.ac.uk/31095/