Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7212106 | Composites Part B: Engineering | 2018 | 10 Pages |
Abstract
Accurate estimation of the in-plane shear modulus of solids reinforced by nano-/micro-size elliptical multi-coated fibers is the focus of this paper. It is well-known that at the scales comparable to the nanoscopic length scales of the material, traditional theory of elasticity ceases to hold and, moreover, due to lack of consideration of such length scales has an innate weakness of sensing the size effect. Therefore, it is proposed to formulate and calculate the effective shear modulus of the nano-/micro-composite within micropolar theory which introduces two material characteristic lengths into the field equations. For this purpose, Mori-Tanaka theory is extended to treat nested multi-inhomogeneity system in the mathematical framework of micropolar elasticity. The effective shear modulus pertinent to two cases of composites with aligned and randomly distributed enrichments is addressed. All the constituent phases are assumed to be micropolar media. As it will be seen, the estimations via couple stress and classical theories serve as the bounds of the estimate obtained using micropolar theory. The effects of the size and volume fraction of the fiber ensemble, the characteristic lengths and rigidity of the constituent phases, thickness of the coating layer, and the aspect ratio of the fiber ensemble on the effective shear modulus of the composite are examined.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Bita Alemi, Hossein M. Shodja,