On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity
This continuation of Part I (Soldatos, 2018) aims to make a connection between the polar linear elasticity for fibre-reinforce materials due to (Spencer and Soldatos, 2007; Soldatos, 2014, 2015) with the anisotropic version and the principal postulates of its counterpart due to (Mindlin and Tiersten...
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| Format: | Article |
| Language: | English |
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Elsevier
2018
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| Online Access: | https://eprints.nottingham.ac.uk/53346/ |
| _version_ | 1848798925299908608 |
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| author | Soldatos, Konstantinos P. |
| author_facet | Soldatos, Konstantinos P. |
| author_sort | Soldatos, Konstantinos P. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | This continuation of Part I (Soldatos, 2018) aims to make a connection between the polar linear elasticity for fibre-reinforce materials due to (Spencer and Soldatos, 2007; Soldatos, 2014, 2015) with the anisotropic version and the principal postulates of its counterpart due to (Mindlin and Tiersten, 1963). The outlined analysis, comparison and discussions are purely theoretical, and aim to collect and classify valuable information regarding the nature of continuous as well as weak discontinuity solutions of relevant well-posed boundary value problems. Emphasis is given on the fact that the compared pair of theoretical models has a common theoretical background (Cosserat, 1909) but different kinds of origin. Some new concepts and features, introduced in Part I, in association with linear elastic behaviour of materials having embedded fibres resistant in bending, are thus shown relevant to more general linearly elastic, anisotropic, Cosserat-type material behaviour. The different routes followed for the origination of the compared pair of models is known to produce identical results in the case of conventional (non-polar) linear elasticity. The same is here found generally non true in the polar elasticity case, although considerable similarities are also observed. No definite answers are provided regarding the manner in which existing differences might be bridged or, if at all possible, eliminated. These are matters that require further study and thorough investigation. |
| first_indexed | 2025-11-14T20:27:31Z |
| format | Article |
| id | nottingham-53346 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:27:31Z |
| publishDate | 2018 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-533462019-08-24T04:30:20Z https://eprints.nottingham.ac.uk/53346/ On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity Soldatos, Konstantinos P. This continuation of Part I (Soldatos, 2018) aims to make a connection between the polar linear elasticity for fibre-reinforce materials due to (Spencer and Soldatos, 2007; Soldatos, 2014, 2015) with the anisotropic version and the principal postulates of its counterpart due to (Mindlin and Tiersten, 1963). The outlined analysis, comparison and discussions are purely theoretical, and aim to collect and classify valuable information regarding the nature of continuous as well as weak discontinuity solutions of relevant well-posed boundary value problems. Emphasis is given on the fact that the compared pair of theoretical models has a common theoretical background (Cosserat, 1909) but different kinds of origin. Some new concepts and features, introduced in Part I, in association with linear elastic behaviour of materials having embedded fibres resistant in bending, are thus shown relevant to more general linearly elastic, anisotropic, Cosserat-type material behaviour. The different routes followed for the origination of the compared pair of models is known to produce identical results in the case of conventional (non-polar) linear elasticity. The same is here found generally non true in the polar elasticity case, although considerable similarities are also observed. No definite answers are provided regarding the manner in which existing differences might be bridged or, if at all possible, eliminated. These are matters that require further study and thorough investigation. Elsevier 2018-08-24 Article PeerReviewed application/pdf en cc_by_nc_nd https://eprints.nottingham.ac.uk/53346/1/Characterisation_II_R1.pdf Soldatos, Konstantinos P. (2018) On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity. International Journal of Solids and Structures, 152-153 . ISSN 0020-7683 Clapeyron’s theorem; Fibre-reinforced materials; Fibre bending resistance/stiffness; Polar linear elasticity; Potential energy; Orthotropic materials; Transverse isotropic materials. https://www.sciencedirect.com/science/article/pii/S002076831830341X?via%3Dihub doi:10.1016/j.ijsolstr.2018.08.022 doi:10.1016/j.ijsolstr.2018.08.022 |
| spellingShingle | Clapeyron’s theorem; Fibre-reinforced materials; Fibre bending resistance/stiffness; Polar linear elasticity; Potential energy; Orthotropic materials; Transverse isotropic materials. Soldatos, Konstantinos P. On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity |
| title | On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity |
| title_full | On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity |
| title_fullStr | On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity |
| title_full_unstemmed | On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity |
| title_short | On the characterisation of polar fibrous composites when fibres resist bending - PART II: connection with anisotropic polar linear elasticity |
| title_sort | on the characterisation of polar fibrous composites when fibres resist bending - part ii: connection with anisotropic polar linear elasticity |
| topic | Clapeyron’s theorem; Fibre-reinforced materials; Fibre bending resistance/stiffness; Polar linear elasticity; Potential energy; Orthotropic materials; Transverse isotropic materials. |
| url | https://eprints.nottingham.ac.uk/53346/ https://eprints.nottingham.ac.uk/53346/ https://eprints.nottingham.ac.uk/53346/ |