A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials
A new multiscale finite element formulation is presented for nonlinear dynamic analysis of heterogeneous structures. The proposed multiscale approach utilizes the hysteretic finite element method to model the microstructure. Using the proposed computational scheme, the micro-basis functions, that ar...
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| Format: | Article |
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Springer Verlag
2014
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| Online Access: | https://eprints.nottingham.ac.uk/34602/ |
| _version_ | 1848794891861098496 |
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| author | Triantafyllou, Savvas P. Chatzi, E.N. |
| author_facet | Triantafyllou, Savvas P. Chatzi, E.N. |
| author_sort | Triantafyllou, Savvas P. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | A new multiscale finite element formulation is presented for nonlinear dynamic analysis of heterogeneous structures. The proposed multiscale approach utilizes the hysteretic finite element method to model the microstructure. Using the proposed computational scheme, the micro-basis functions, that are used to map the micro-displacement components to the coarse mesh, are only evaluated once and remain constant throughout the analysis procedure. This is accomplished by treating inelasticity at the micro-elemental level through properly defined hysteretic evolution equations. Two types of imposed boundary conditions are considered for the derivation of the multiscale basis functions, namely the linear and periodic boundary conditions. The validity of the proposed formulation as well as its computational efficiency are verified through illustrative numerical experiments. |
| first_indexed | 2025-11-14T19:23:24Z |
| format | Article |
| id | nottingham-34602 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:23:24Z |
| publishDate | 2014 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-346022020-05-04T16:51:48Z https://eprints.nottingham.ac.uk/34602/ A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials Triantafyllou, Savvas P. Chatzi, E.N. A new multiscale finite element formulation is presented for nonlinear dynamic analysis of heterogeneous structures. The proposed multiscale approach utilizes the hysteretic finite element method to model the microstructure. Using the proposed computational scheme, the micro-basis functions, that are used to map the micro-displacement components to the coarse mesh, are only evaluated once and remain constant throughout the analysis procedure. This is accomplished by treating inelasticity at the micro-elemental level through properly defined hysteretic evolution equations. Two types of imposed boundary conditions are considered for the derivation of the multiscale basis functions, namely the linear and periodic boundary conditions. The validity of the proposed formulation as well as its computational efficiency are verified through illustrative numerical experiments. Springer Verlag 2014-09-01 Article PeerReviewed Triantafyllou, Savvas P. and Chatzi, E.N. (2014) A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials. Computational Mechanics, 54 (3). pp. 763-787. ISSN 0178-7675 http://link.springer.com/article/10.1007%2Fs00466-014-1032-2 doi:10.1007/s00466-014-1032-2 doi:10.1007/s00466-014-1032-2 |
| spellingShingle | Triantafyllou, Savvas P. Chatzi, E.N. A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials |
| title | A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials |
| title_full | A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials |
| title_fullStr | A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials |
| title_full_unstemmed | A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials |
| title_short | A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials |
| title_sort | hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials |
| url | https://eprints.nottingham.ac.uk/34602/ https://eprints.nottingham.ac.uk/34602/ https://eprints.nottingham.ac.uk/34602/ |