Time-dependent interfacial sliding in nano-fibrous composites under longitudinal shear. (July 2016)

• Record Type: Journal Article
• Authors: Wang, Xu; Wang, Cuiying; Schiavone, Peter
• Is Part Of: Mechanics research communications. Volume 75(2016:Jul.)
• Page Start: 40
• Page End: 43
• Publication Date: 2016-07
• Subjects: Nano-fiber -- Surface elasticity -- Time-dependent sliding -- Characteristic relaxation time -- Size-dependency; Mechanics, Applied -- Periodicals; Mécanique appliquée -- Périodiques; Mechanics, Applied; Periodicals; 530
• DOI: 10.1016/j.mechrescom.2016.05.005
• Languages: English
• ISSNs: 0093-6413

Abstract

Highlights: Time-dependent deformations of an elastic nano-fiber in an elastic matrix. Nano-fiber and matrix have separate and distinct surface elasticities. Sliding interface via a diffusion-controlled mechanism. Relaxation time and stress distribution controlled by three size-dependent parameters. Internal stress field is spatially uniform yet size-dependent and time-dependent. Abstract: We use complex variable methods to analyze time-dependent deformations of an isolated elastic nano-fiber embedded in an infinite elastic matrix under longitudinal shear subjected to uniform stress at infinity. In order to incorporate nanoscale size-effects into our continuum-based model, the nano-fiber and the matrix are each endowed with separate and distinct surface elasticities described by the Gurtin–Murdoch model. The fiber/matrix interface is allowed to slide via a diffusion-controlled mechanism. We show that the characteristic relaxation time and time-dependent stress distribution in the composite can be described completely by three size-dependent parameters and a size-independent mismatch parameter. Further, we note that the internal stress field is spatially uniform yet size- and time-dependent. Finally, we obtain the effective anelastic and size-dependent shear modulus of the fibrous composite using the mean-field method of Mori–Tanaka.