Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 56, Issue 12, Pages 3541-3564Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2008.06.007
Keywords
Size effects; Strain divergence theory; Micropolar theory; Cellular solids; Voronoi honeycombs
Ask authors/readers for more resources
In view of size effects in cellular solids, we critically compare the analytical results of generalized continuum theories with the computation a I results of discrete models. Representatives are studied from two classes of generalized continuum theories: the strain divergence theory from the class of higher-grade continua and the micropolar theory from the class of higher-order continua. In the former, the divergence of strain is proposed as an additional deformation measure, while in the latter the microrotation gradients act as the source for extra internal energy. We analytically solve a range of basic boundary value problems (simple shear, pure bending and the strain concentration around a hole) and compare the results with discrete, numerical calculations that are based on a Voronoi representation of the cellular microstructure. By comparing both the local deformation fields and the overall elastic response, we critically assess the capabilities of both theories in capturing size effects in cellular solids. (c) 2008 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available