My. Quek et Cy. Yue, AXISYMMETRICAL STRESS-DISTRIBUTION IN THE SINGLE FILAMENT PULL-OUT TEST, Materials science & engineering. A, Structural materials: properties, microstructure and processing, 189(1-2), 1994, pp. 105-116
A method based on assumed stress functions, which satisfy the equilibr
ium equations in the fiber and matrix, is presented. Using the princip
le of minimum complementary energy in conjunction with calculus of var
iations, the complete axisymmetric state of stress in the fiber and ma
trix is obtained. Comparison with previous results shows excellent agr
eement for the interfacial shear stress and axial stresses in the fibe
r and matrix. The radial tensile stress at the fiber-matrix interface
due to Poisson's effect has been shown to be greater for the restraine
d matrix top loading condition. Also, it is suggested that a more accu
rate interfacial shear stress distribution may be predicted by includi
ng the radial and hoop stresses in the energy formulation.