No Cover Image

E-Thesis 405 views 411 downloads

Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods. / Derek C. D Speirs

Swansea University Author: Derek C. D Speirs

Abstract

The constitutive modelling of microheterogeneous materials is a subject of considerable practical and theoretical interest. Among many approaches computational homogenisation is particularly powerful and versatile. This is based on the numerical estimation of the mechanical response of a volume elem...

Full description

Published: 2007
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42354
first_indexed 2018-08-02T18:54:30Z
last_indexed 2018-08-03T10:09:56Z
id cronfa42354
recordtype RisThesis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2018-08-02T16:24:28.9478019</datestamp><bib-version>v2</bib-version><id>42354</id><entry>2018-08-02</entry><title>Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods.</title><swanseaauthors><author><sid>18b2390bffd7133c74541f13b7b8d554</sid><ORCID>NULL</ORCID><firstname>Derek C. D</firstname><surname>Speirs</surname><name>Derek C. D Speirs</name><active>true</active><ethesisStudent>true</ethesisStudent></author></swanseaauthors><date>2018-08-02</date><abstract>The constitutive modelling of microheterogeneous materials is a subject of considerable practical and theoretical interest. Among many approaches computational homogenisation is particularly powerful and versatile. This is based on the numerical estimation of the mechanical response of a volume element representing the material's microstructure. This thesis is concerned with computational homogenisation and its particular use in characterising materials with hyperelastic microstructures through an optimisation based methodology. Details of a finite element implementation of the computational homogenisation procedure are presented. These are derived from a variational treatment of the homogenisation problem. Examples of the application of the method to hyperelastic microstructures are reported. Next a procedure to provide a convenient characterisation of the behaviour of composite material is considered. This consists of adopting a conventional explicit model to approximate the macroscopic mechanical behaviour. Parameters of the model are chosen by established optimisation methods so that the macro model best fits the calculated homogenised response of a model of the microstructure. The optimisation based methodology is applied to the problem of modelling the constitutive behaviour of artery walls.</abstract><type>E-Thesis</type><journal/><journalNumber></journalNumber><paginationStart/><paginationEnd/><publisher/><placeOfPublication/><isbnPrint/><issnPrint/><issnElectronic/><keywords>Materials science.;Computer engineering.</keywords><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2007</publishedYear><publishedDate>2007-12-31</publishedDate><doi/><url/><notes/><college>COLLEGE NANME</college><department>Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><degreelevel>Doctoral</degreelevel><degreename>Ph.D</degreename><apcterm/><lastEdited>2018-08-02T16:24:28.9478019</lastEdited><Created>2018-08-02T16:24:28.9478019</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Engineering and Applied Sciences - Uncategorised</level></path><authors><author><firstname>Derek C. D</firstname><surname>Speirs</surname><orcid>NULL</orcid><order>1</order></author></authors><documents><document><filename>0042354-02082018162447.pdf</filename><originalFilename>10798062.pdf</originalFilename><uploaded>2018-08-02T16:24:47.8570000</uploaded><type>Output</type><contentLength>12418268</contentLength><contentType>application/pdf</contentType><version>E-Thesis</version><cronfaStatus>true</cronfaStatus><embargoDate>2018-08-02T16:24:47.8570000</embargoDate><copyrightCorrect>false</copyrightCorrect></document></documents><OutputDurs/></rfc1807>
spelling 2018-08-02T16:24:28.9478019 v2 42354 2018-08-02 Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods. 18b2390bffd7133c74541f13b7b8d554 NULL Derek C. D Speirs Derek C. D Speirs true true 2018-08-02 The constitutive modelling of microheterogeneous materials is a subject of considerable practical and theoretical interest. Among many approaches computational homogenisation is particularly powerful and versatile. This is based on the numerical estimation of the mechanical response of a volume element representing the material's microstructure. This thesis is concerned with computational homogenisation and its particular use in characterising materials with hyperelastic microstructures through an optimisation based methodology. Details of a finite element implementation of the computational homogenisation procedure are presented. These are derived from a variational treatment of the homogenisation problem. Examples of the application of the method to hyperelastic microstructures are reported. Next a procedure to provide a convenient characterisation of the behaviour of composite material is considered. This consists of adopting a conventional explicit model to approximate the macroscopic mechanical behaviour. Parameters of the model are chosen by established optimisation methods so that the macro model best fits the calculated homogenised response of a model of the microstructure. The optimisation based methodology is applied to the problem of modelling the constitutive behaviour of artery walls. E-Thesis Materials science.;Computer engineering. 31 12 2007 2007-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:28.9478019 2018-08-02T16:24:28.9478019 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Derek C. D Speirs NULL 1 0042354-02082018162447.pdf 10798062.pdf 2018-08-02T16:24:47.8570000 Output 12418268 application/pdf E-Thesis true 2018-08-02T16:24:47.8570000 false
title Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods.
spellingShingle Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods.
Derek C. D Speirs
title_short Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods.
title_full Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods.
title_fullStr Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods.
title_full_unstemmed Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods.
title_sort Characterisation of materials with hyperelastic microstructures through computational homogenisation and optimisation methods.
author_id_str_mv 18b2390bffd7133c74541f13b7b8d554
author_id_fullname_str_mv 18b2390bffd7133c74541f13b7b8d554_***_Derek C. D Speirs
author Derek C. D Speirs
author2 Derek C. D Speirs
format E-Thesis
publishDate 2007
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description The constitutive modelling of microheterogeneous materials is a subject of considerable practical and theoretical interest. Among many approaches computational homogenisation is particularly powerful and versatile. This is based on the numerical estimation of the mechanical response of a volume element representing the material's microstructure. This thesis is concerned with computational homogenisation and its particular use in characterising materials with hyperelastic microstructures through an optimisation based methodology. Details of a finite element implementation of the computational homogenisation procedure are presented. These are derived from a variational treatment of the homogenisation problem. Examples of the application of the method to hyperelastic microstructures are reported. Next a procedure to provide a convenient characterisation of the behaviour of composite material is considered. This consists of adopting a conventional explicit model to approximate the macroscopic mechanical behaviour. Parameters of the model are chosen by established optimisation methods so that the macro model best fits the calculated homogenised response of a model of the microstructure. The optimisation based methodology is applied to the problem of modelling the constitutive behaviour of artery walls.
published_date 2007-12-31T04:24:38Z
_version_ 1851093867331321856
score 11.444473

Similar Items