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Published in: Mechanics of Composite Materials 6/2016

15-01-2016

Carcass Theory of Fibrous Media with Uncurved and locally Curved Fibers at Large Deformations

Author: V. M. Akhundov

Published in: Mechanics of Composite Materials | Issue 6/2016

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Abstract

The basic propositions and equations of the two-level carcass theory of media with a regular structure are extended to media with locally curved fibers under large deformations of the matrix and fibers. The case of reinforcement with rectilinear and nonlocally curved fibers is also considered. The macromechanical equations of deformation determining the measures of microscopic deformations from the field of macroscopic displacements are presented. A theory of macroscopic stresses at large deformations of constituents of a fibrous material is given, which can also be based on material blocks of a medium with locally curved sides. The equations of macroscopic motion of media obtained by using the concepts of macroscopic displacements and stresses are presented. The statement of boundary-value problems solved on the micromechanical level for the nodal blocks of a material medium is considered.

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Metadata
Title
Carcass Theory of Fibrous Media with Uncurved and locally Curved Fibers at Large Deformations
Author
V. M. Akhundov
Publication date
15-01-2016
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 6/2016
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-016-9539-6

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