Effect of rheologic parameters of the matrix material on the distribution of self-balanced stresses in a multilayer composite with curved structures

Conclusions

• 1. The self-balanced stresses σ_nτ and σ_nn (for the most part) decrease with increasing parameter ω (i.e., with increasing long-term elastic modulus of the matrix material) and also with increasing absolute values of the parameter α (i.e., with increasing absolute values of the exponents of the characteristic of the kernel of the operators describing the mechanical properties of the matrix material).

• 2. For relatively large filler concentrations (for example, when η=0.5), an increase in the absolute values of the parameters α and ω gives rise to an increase in the normal stress σ_nn at certain characteristic points of the interface between the media (for example, at point C, see Fig. 1a) in the case of single-phase curvature.

• 3. The basic increase in self-balanced normal and tangential stresses occurs in the period t′ <3 (t′ is dimensionless time) in the case of single-phase curvature, while this period may be lengthened to t′=6 in the case of antiphase curvature for relatively large filler concentrations.

• 4. Due to the ductility of the matrix material when t′ ≥ 6, current values of the ratios σ_nn/σ₁₁ ^(1)1,0 and σ_nτ/σ₁₁ ^(1)1,0 at characteristic points of the interface between the matrix and filler materials may exceed the corresponding instantaneous values by several factors, depending on the values of the parameters α, η and ω.