Enrichment based multiscale modeling for thermo-stress analysis of heterogeneous material
Article first published online: 19 OCT 2012
Published 2012. This article is a US Government work and is in the public domain in the USA.
International Journal for Numerical Methods in Engineering
Volume 93, Issue 11, pages 1147–1169, 16 March 2013
How to Cite
Macri, M. and Littlefield, A. (2013), Enrichment based multiscale modeling for thermo-stress analysis of heterogeneous material. Int. J. Numer. Meth. Engng., 93: 1147–1169. doi: 10.1002/nme.4420
- Issue published online: 22 FEB 2013
- Article first published online: 19 OCT 2012
- Manuscript Accepted: 28 AUG 2012
- Manuscript Revised: 27 JUN 2012
- Manuscript Received: 3 JAN 2012
- partition of unity;
This paper details a novel new multiscale technique for modeling heterogeneous materials undergoing substantial thermal stresses. The technique is based on an enriched partition of unity approach that incorporates the thermal effects occurring on the microstructure into the global model. We demonstrate the effectiveness of this technique by implementing it into both the standard finite element method and the octree partition of unity method (OctPUM). The results demonstrate that the technique has uniquely improved accuracy over the homogenization method conditional to the method into which it is implemented in. The multiscale technique, when implemented into either the standard finite element method or OctPUM, increases the accuracy of the strain energy calculation. When the multiscale technique is implemented into OctPUM, it also is able to capture the unique stress fields on the microstructure of the model. Published 2012. This article is a US Government work and is in the public domain in the USA.