Читать книгу Properties for Design of Composite Structures - Neil McCartney - Страница 67

For the general loading conditions characterised by the parameters ε, σT and ΔT and applied to an infinite sample of matrix in the absence of fibre (filling the entire region of space) the solution is given by

(4.53)

(4.54)

where the parameter Am is given by (4.46). It should be noted that the axial stress in the matrix given by (4.54)₂ is identical to that in the matrix when the fibre is present (see (4.44)). It should also be noted that when the fibre is introduced the radial displacement function is perturbed as a second term appears in (4.27)₁ that is inversely proportional to the radial distance r. This additional term will now be considered when applying Maxwell’s method of estimating the properties of a fibre-reinforced composite.