Axial pulling of a neo-Hookean fiber embedded in a generalized neo-Hookean matrix. (January 2023)

• Record Type: Journal Article
• Authors: Kar, P.; Myneni, M.; Tůma, K.; Rajagopal, K.R.; Benjamin, C.C.
• Is Part Of: International journal of non-linear mechanics. Volume 148(2023)
• Publication Date: 2023-01
• Subjects: Fiber pullout -- Fiber–matrix interface -- Generalized neo-Hookean material -- Composite materials -- Fiber-reinforced materials; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2022.104292
• Languages: English
• ISSNs: 0020-7462

Abstract

Abstract: In this paper, we study the mechanical behavior of a slightly compressible neo-Hookean fiber, which is subjected to an axial pullout displacement, embedded in a slightly compressible generalized neo-Hookean matrix. We study three different boundary value problems containing both fully and partially embedded fibers. We study the effect of material and geometric parameters on the force required to axially displace the fiber, the shear stress at the interface and in the interior of the fiber–matrix system, and the norm of the Green–St. Venant strain. We found an interesting result in that the maximum shear stress occurs in the interior of the matrix when the shear modulus of the fiber is comparable to that of the matrix. Furthermore, as the fiber and matrix becomes more compressible, the maximum shear stress decreases. Highlights: The stress distribution in a fiber-matrix system subjected to axial pulling. Both the fiber and the matrix were modeled as nonlinear hyperelastic materials. Boundary value problems were considered that simulate the axial pulling of a fiber. The interfacial shear stress increases as the fiber shear modulus increases. When the shear modulus ratio is close to 1, the max stress is not at the interface.