Journal
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS
Volume 62, Issue 2, Pages 149-166Publisher
OXFORD UNIV PRESS
DOI: 10.1093/qjmam/hbp001
Keywords
-
Categories
Funding
- NSERC
Ask authors/readers for more resources
We consider the problem of obtaining the effective orthotropic tensor that corresponds to a given generally anisotropic one; herein, by 'effective', we mean the closest in the sense of the Frobenius norm, without a priori assuming the orientation of the orthotropic tensor. It is difficult to find the absolute minimum of the distance function since the minimization process is nonlinear, exhibiting several local minima. To find the effective orthotropic tensor, the minimization process must be performed on a three-dimensional manifold SO(3). In the case of monoclinic and transversely isotropic tensors, it can be performed on a two-dimensional sphere, which lends itself to an insightful plot that allows us to guide a numerical method. We use the orientation of the symmetry-plane normal of the effective monoclinic tensor to guide the method and obtain the effective orthotropic tensor-025EFa two-step process.
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