Cracks propagation and interaction in an orthotropic elastic material: Analytical and numerical methods

Interaction Analysis of Non-aligned Cracks Using Extended Finite Element Method

“…Yokobori et al (Yokobori, Uozumi, & Ichikawa, 1971) based on the concept of continuous distribution of infinitesimal dislocations, studied two equal length offset cracks in an infinite elastic solid. Sadowski et al (Sadowski, Marsavina, Peride, & Craciun, 2009) formulated a new analytical model in order to investigate the interaction of two collinear cracks in an orthotropic elastic material. The solutions are restricted to special geometries.…”

Influence of the anisotropy of the material on the limit state of an orthotropic plate weakened by a periodic system of collinear cracks

“…3, we show limit fracture curves obtained on the basis of (10) (solid curves), curves of coalescence of process zones obtained on the basis of (11) (dashed curves), and the corresponding limit strength curves (12) for the defect-free material (dash-dot curves) for σ 2 c /σ 2 p = 0.5, 1.0, 2.0 , β = 0.5 , p * (0) /σ 2 p = 0.5 , and σ 1 c /σ 1 p = 1.0 .…”

“…As can be seen from the obtained results, an increase in the degree of anisotropy of the material with respect to the moduli of elasticity leads to a decrease in the limit load p acting perpendicularly to the line of the cracks in the region of tensile loads q acting along the line of the cracks and to an increase in the limit load p in the region of compressive loads q . Figure 2 shows limit fracture curves obtained on the basis of (10) (solid curves), curves of coalescence of process zones obtained on the basis of (11) (dashed curves), and the corresponding limit strength curves (12) for the defect-free material (dash-dot curves) with σ 1 c /σ 1 p = 0.5, 1.0, 2.0 , β = 0.5 , p * (0) /σ 2 p = 0.5 , and…”

Mathematical modeling of three equal collinear cracks in an orthotropic solid

“…Numerous studies regarding this subject were done in the literature [18][19][20][21][22][23]. Analytic solutions for stress distribution and crack interaction for a composite material containing two collinear cracks can be found in the works [24][25][26][27][28][29]. The problem of three collinear crack interaction, elastic fields distribution and crack propagation using the integral equations method were studied in [30][31][32][33][34].…”