On the fracture stress for the inclined crack under biaxial load

On the fundamental energy argument of elastic fracture mechanics

“…He arrives at the following expression for the force, F1, corresponding to differentiation in the xl-direction, Ft = foa [udx2-TiOo~l d*] . (21) In (21), u is the strain energy density and OR is any path around the singularity. When the elastic singularity is that of a crack tip, and OR is taken as in Fig.…”

“…Beginning in 1977, Eftis, [17,[19][20][21][22]24], either alone or in collaboration with others, argues that stresses parallel to the crack affect the energy release rate. He produces physical evidence of some significant effects that such stresses can have on fracture.…”

“…Griffith was the first to recognize this in his seminal paper [1] in 1920. Since [1], there have been a number of related contributions which are primarily concerned with aspects of such an energy analysis: Wolf [2] in 1923; Griffith [3] in 1924; Sneddon [4] in 1946; Eshelby [5,6,7] in 1951, 1956 and 1959; Irwin [8] in 1957; Sanders [9] in 1960; Swedlow [10] and Spencer [11] in 1965; Cherepanov [12] in 1967; Sih and Liebowitz [13] in 1967; Rice [14] in 1968; Bilby and Eshelby [15] in 1968; Eshelby [16] in 1969; Eftis, Subramonian and Liebowitz [17] in 1977; Cherepanov [18] in 1979; Eftis and Jones [19] in 1982; Eftis [20] in 1984; Eftis [21,22] in 1987; Tyson and Roy [23] in 1989; and Eftis, Jones and Liebowitz [24] in 1990. A review of the above listed papers can possibly lead to confusion with respect to some facets of the fundamental energy argument of fracture mechanics.…”