1. Embedded homogeneity of beams in the nonlinear domain.
- Author
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Epstein, Marcelo and Roychowdhury, Ayan
- Subjects
- *
NONLINEAR analysis , *THIN-walled structures , *GEOMETRIC analysis , *PLANAR graphs , *TENSOR algebra - Abstract
The notion of embedded homogeneity of thin-walled structures is introduced as the property characterizing the provenance of such a structure from a homogeneous material. This property needs to be distinguished from other definitions of homogeneity formulated exclusively in terms of a purely structural constitutive equation. Necessary conditions for embedded homogeneity are derived for planar beams and their geometric interpretation is expressed as the condition for the elastic hodograph to lie on a hypersphere containing the origin of a six-dimensional space of tensors. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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