Chatzigeorgiou, G., Javili, A. and Steinmann, P. (2015) Multiscale modelling for composites with energetic interfaces at the micro- or nanoscale. Mathematics and Mechanics of Solids, 20(9), pp. 1130-1145. (doi: 10.1177/1081286513516122)
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Abstract
A homogenization framework is developed that accounts for the effect of size at the micro- or nanoscale. This is achieved by endowing the interfaces of the micro- or nanoscopic features with their own independent structure, using the theory of surface elasticity. Following a standard small-strain approach for the microscopic deformation in terms of the macroscopic strain tensor, a Hill-type averaging condition is used to link the two scales. A procedure for determining overall effective properties in the case of composites with elastic components and elastic material interfaces is presented. A special example of multilayered composites demonstrates the correlation between a material interface and a very thin interphase layer.
| Item Type: | Articles |
|---|---|
| Additional Information: | Funding: The support of this work by the ERC Advanced Grant MOCOPOLY is gratefully acknowledged. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Steinmann, Professor Paul |
| Authors: | Chatzigeorgiou, G., Javili, A., and Steinmann, P. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Mathematics and Mechanics of Solids |
| Publisher: | SAGE |
| ISSN: | 1081-2865 |
| ISSN (Online): | 1741-3028 |
| Published Online: | 29 December 2013 |
| Related URLs: |
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