Mixed-mode crack growth in anisotropic media

Study of the fracture behaviour in hybrid fibers reinforced thermoplastic laminates: Influence of temperature and initial notch orientation

“…The question of mixed mode fracture has already been specifically addressed in the literature, though most references focus on the analytical formulation of stress intensity factors for an inclined edge crack in orthotropic materials subjected to point forces. Based on weight functions and boundary element method, the mixed-mode stress intensity factor is computed in two-dimensional cracked bodies [16][17][18][19][20][21][22][23][24][25]. Most references available in the literature deal with tensile or bending specimens with 0 • oriented initial notches [26][27] or 45 • oriented notch [12,15,[28][29].…”

Composite cylindrical shells under combined loading

“…The plate is subjected to the normal σ 1 , σ 2 and the shear τ stresses with respect to the system O x΄΄y΄΄ O � � . The stress field [1,2,7,8] in the vicinity of the crack tip with respect to system O x΄΄y΄΄ O � � , as well as, the material properties μ 1 and μ 2 is given by,…”

“…where r is the distance of element, from the crack tip and S the strain energy density factor. The fundamental hypotheses on unstable crack growth for brittle materials in the energy density theory (1,8), are as follows:…”

“…It means, that the mathematical principles involved are much more complex. In a "previous" paper [1] we analyzed the problem of a cracked anisotropic elastic plate subjected to a load that is oriented at an arbitrary angle with the crack direction which does not coincide with the principal axes of material symmetry of the plate. The crack growth angle and the critical load at crack instability were determined by strain energy density theory.…”

Large deformation near a crack tip in a fiber-reinforced neo-Hookean sheet

“…The brittle fracture of unidirectional composites with cracks propagated along the fiber direction was then studied by Sih and Chen (1973). Gdoutos et al (1989) analyzed the fracture behavior of an anisotropic panel with a crack inclined with respect to the principal axes of material symmetry under in-plane uniform uniaxial stress. More recently, Nobile et al ( 2004) investigated an inclined crack in an orthotropic medium under biaxial loading and obtained closed form solutions for the crack tip stress and deformation fields.…”