Accurate families of multi-continuum micromorphic homogenisations in multi-D space-time via dynamical systems theory
| dc.contributor.author | Roberts, A.J. | |
| dc.date.issued | 2025 | |
| dc.description.abstract | Homogenisation empowers the efficient macroscale system level prediction of physical scenarios with intricate microscale structures. Here we develop an innovative powerful, rigorous and flexible framework for asymptotic homogenisation of dynamics at the finite scale separation of real physics, with proven results underpinned by modern dynamical systems theory. The novel systematic approach removes most of the usual assumptions, whether implicit or explicit, of other methodologies. By no longer assuming averages the methodology constructs so-called multi-continuum or micromorphic homogenisations systematically informed by the microscale physics. The developed framework and approach enables a user to straightforwardly choose and create such homogenisations with clear physical and theoretical support, and of highly controllable accuracy and fidelity. | |
| dc.description.statementofresponsibility | A. J. Roberts | |
| dc.identifier.citation | Transactions of Mathematics and its Applications, 2025; 9(1):tnaf001-1-tnaf001-72 | |
| dc.identifier.doi | 10.1093/imatrm/tnaf001 | |
| dc.identifier.issn | 2398-4945 | |
| dc.identifier.issn | 2398-4945 | |
| dc.identifier.orcid | Roberts, A.J. [0000-0001-8930-1552] | |
| dc.identifier.uri | https://hdl.handle.net/2440/147945 | |
| dc.language.iso | en | |
| dc.publisher | Oxford University Press | |
| dc.relation.grant | http://purl.org/au-research/grants/arc/DP220103156 | |
| dc.rights | © The Authors 2025. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. This is an open access article distributed under the terms of the Creative Commons CC BY license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | |
| dc.source.uri | https://doi.org/10.1093/imatrm/tnaf001 | |
| dc.subject | homogenisation; dynamical systems; multi-continuum; micromorphic | |
| dc.title | Accurate families of multi-continuum micromorphic homogenisations in multi-D space-time via dynamical systems theory | |
| dc.type | Journal article | |
| pubs.publication-status | Published |