Mechanical Engineering Commons^™

Numerical Analysis Of The Pullout Problem Of A Fiber Embedded In A Matrix : Comparison With An Approximate Analytical Solution, Ivan Enrique Esparragoza

FIU Electronic Theses and Dissertations

The classical problem of pullout of a long elastic rectilinear round bar (fiber) embedded in an elastic half-space (matrix) is considered before and while local debonding occurs. An approximate analytical solution derived from the elasticity theory, the intuitive Saint Venant's principle, the idea of boundary layer in hydrodynamics, and invariant Γ-integrals is presented. The problem is analyzed numerically by means of the finite element method using the ANSYS program. The cases of loading before and after the initiation of the debonding are studied. Both approaches, analytical and numerical, are compared in order to establish the concidence between them. The discrepancy …