Pullout of a Neo-Hookean Fiber Embedded in a Generalized Neo-Hookean Matrix
Abstract
In this work, the mechanical behavior of a neo-Hookean fiber embedded in a generalized neo-Hookean matrix, is studied. The fiber is subjected to an axial pullout displacement. Based on past pullout experimental conditions, three different boundary value problems are studied here. Extensive stress analysis is conducted using Comsol, as the finite element software. Past literature considered the pullout phenomenon of stiff fibers. In this work, both soft and stiff fibers are studied and the deformation and the shear stress distributions are analyzed with varying shear modulus of the fiber. It is observed that, for a soft fiber, most of the deformation is localized at the top extended portion of the fiber with negligible deformation in the matrix region. Whereas, for a stiff fiber, there is significant deformation in the matrix. As a result, the shear stress is found to be increasing with an increase in the stiffness of the fiber. Further discussion is made on the effect of embedded length on the shear stress distribution. Additionally, some parametric studies are conducted by varying the material and the geometric parameters to observe the crucial effect on the shear stress distribution. In most of the past pullout tests conducted, the pullout force was studied with respect to the applied displacement. A similar analysis is done in this study which will aid in future experiments to be conducted. Moreover, this study can be extended to an analytical formulation of the debond forces arising due to the axial pullout of the same fiber-matrix system.
Citation
Kar, Pratyusa (2021). Pullout of a Neo-Hookean Fiber Embedded in a Generalized Neo-Hookean Matrix. Master's thesis, Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /196032.