Modelling inclusions, holes and fibre reinforced composites using the local multi-grid finite element method

This paper examines the application of the local multi-grid finite element method to model both a single inclusion in an infinite plate and unidirectional laminae consisting of square and hexagonal packed arrays of fibres. Single and arrays of holes are modelled by assigning a negligible inclusion/f...

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Bibliographic Details
Published inAdvances in engineering software (1992) Vol. 35; no. 3; pp. 139 - 147
Main Authors Cardew, G.E., Seed, G.M., Ivanyi, P.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2004
Subjects
Fibre reinforced composites
Finite element method
Modelling inclusions
Finite element method
Fibre reinforced composites
Modelling inclusions
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Summary:This paper examines the application of the local multi-grid finite element method to model both a single inclusion in an infinite plate and unidirectional laminae consisting of square and hexagonal packed arrays of fibres. Single and arrays of holes are modelled by assigning a negligible inclusion/fibre modulus of elasticity. The paper demonstrates that the local multi-grid method provides a convenient and accurate method for modelling single and arrays of inclusions compared to conventional structured and unstructured finite element models. Convenient in that local inclusion/fibre ‘primitive’ patches greatly assist in generating meshes consisting of arrays of fibres, and accurate in that structured base and patch meshes can be used, even though interpolation is used between levels.
ISSN:0965-9978
DOI:10.1016/j.advengsoft.2004.03.004