Modelling the carding of recycled carbon fibre

<p>Carbon fibre is a very versatile material with applications in many different industries from medical, electronics, marine, to space. The demand for carbon fibre composites is increasing yearly and therefore the amount of waste carbon fibre is rising. This waste can be recovered and turned...

Full description

Bibliographic Details
Main Author: Roberts, J
Other Authors: Ockendon, H
Format: Thesis
Language:English
Published: 2023
Subjects:
_version_ 1826311754921017344
author Roberts, J
author2 Ockendon, H
author_facet Ockendon, H
Roberts, J
author_sort Roberts, J
collection OXFORD
description <p>Carbon fibre is a very versatile material with applications in many different industries from medical, electronics, marine, to space. The demand for carbon fibre composites is increasing yearly and therefore the amount of waste carbon fibre is rising. This waste can be recovered and turned into a material that can be used in industry. The waste carbon fibre is converted into a “nonwoven” form using a carding process. This is carried out in a carding machine, with the aim of producing a homogeneous web of aligned fibres.</p> <p>A continuum model is derived for a web of carbon fibre in the carding machine. Properties such as the density and order of fibres vary through the machine. This work gives insight into the key parameters in producing a web of aligned fibres, and is the first step in making the process more efficient. The combing effect of carding teeth is then modelled at the microscale level, with focus on the force required to both comb and break different arrangements of fibres. </p> <p>The breaking up of “tows” of fibres in the carding machine is also studied, by focusing on microscale and probabilistic models. The tows are modelled in 2D as two joined elasticas that are `peeled' apart by a circular tooth. The results depend on properties such as the force and radius of the tooth, and the bending stiffness of the tows. To model the breakup of a distribution of tows, a master equation is derived for the change in tow properties in the region between two rollers. The distribution of tow size and length is studied as the material moves through several of these regions. Transition probabilities are proposed that describe tow splitting, tow breakage, and transfer between carding rollers.</p> <p>Finally, an example is presented where manufactured data is used to fit the probability parameters. It is then discussed how these models could be used to improve the carding process in the future. This work was conducted at the University of Oxford, in collaboration with Gen 2 Carbon.</p>
first_indexed 2024-03-07T08:15:57Z
format Thesis
id oxford-uuid:9ee1c7d8-8047-438a-b17f-d4e04e7bffcf
institution University of Oxford
language English
last_indexed 2024-03-07T08:15:57Z
publishDate 2023
record_format dspace
spelling oxford-uuid:9ee1c7d8-8047-438a-b17f-d4e04e7bffcf2023-12-21T16:59:12ZModelling the carding of recycled carbon fibreThesishttp://purl.org/coar/resource_type/c_db06uuid:9ee1c7d8-8047-438a-b17f-d4e04e7bffcfMathematical modelsApplied mathematicsEnglishHyrax Deposit2023Roberts, JOckendon, HHowell, PRiaz, M<p>Carbon fibre is a very versatile material with applications in many different industries from medical, electronics, marine, to space. The demand for carbon fibre composites is increasing yearly and therefore the amount of waste carbon fibre is rising. This waste can be recovered and turned into a material that can be used in industry. The waste carbon fibre is converted into a “nonwoven” form using a carding process. This is carried out in a carding machine, with the aim of producing a homogeneous web of aligned fibres.</p> <p>A continuum model is derived for a web of carbon fibre in the carding machine. Properties such as the density and order of fibres vary through the machine. This work gives insight into the key parameters in producing a web of aligned fibres, and is the first step in making the process more efficient. The combing effect of carding teeth is then modelled at the microscale level, with focus on the force required to both comb and break different arrangements of fibres. </p> <p>The breaking up of “tows” of fibres in the carding machine is also studied, by focusing on microscale and probabilistic models. The tows are modelled in 2D as two joined elasticas that are `peeled' apart by a circular tooth. The results depend on properties such as the force and radius of the tooth, and the bending stiffness of the tows. To model the breakup of a distribution of tows, a master equation is derived for the change in tow properties in the region between two rollers. The distribution of tow size and length is studied as the material moves through several of these regions. Transition probabilities are proposed that describe tow splitting, tow breakage, and transfer between carding rollers.</p> <p>Finally, an example is presented where manufactured data is used to fit the probability parameters. It is then discussed how these models could be used to improve the carding process in the future. This work was conducted at the University of Oxford, in collaboration with Gen 2 Carbon.</p>
spellingShingle Mathematical models
Applied mathematics
Roberts, J
Modelling the carding of recycled carbon fibre
title Modelling the carding of recycled carbon fibre
title_full Modelling the carding of recycled carbon fibre
title_fullStr Modelling the carding of recycled carbon fibre
title_full_unstemmed Modelling the carding of recycled carbon fibre
title_short Modelling the carding of recycled carbon fibre
title_sort modelling the carding of recycled carbon fibre
topic Mathematical models
Applied mathematics
work_keys_str_mv AT robertsj modellingthecardingofrecycledcarbonfibre