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Mechanics of Composite Materials

, Volume 51, Issue 6, pp 683–694 | Cite as

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

  • V. M. Akhundov
Article

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.

Keywords

two-level theory macro- and micromechanical analysis fibrous media macroscopic and material displacements macroscopic and local deformations macroscopic and local stresses large deformations 

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.National Metallurgical Academy of UkraineDnepropetrovskUkraine

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