Fibre pullout test is applied to measure the interface shear

Fibre pull-out test is applied to measure the interface shear strength between the fiber and the matrix, as shown below. If the measured tensile force versus the tensile displacement from such a test is shown below, what is the interfacial shear strength from the test? The fiber has a circular cross-section with the radius of r.

Solution

Solution:

In given question graph between tensile force & tensile displacement is given

therefore area between graph will give Work done

this work done can be expressed in terms of stress as follows:

Work done = 0.5 (stress)^2 x volume / young\'s modulus

stress can be calculated from above equation which is tensile stress

using max principal stress theorem,

shear stress is expressed as half of tensile stress.