Experimental assessment of mixed-mode partition theories

A novel method for the partition of mixed-mode fractures in 2D elastic laminated unidirectional composite beams

“…[2][3][4][5][6] also shows that in Timoshenko beam theory with either rigid or non-rigid interfaces, these two sets of modes coincide on the first set of pure modes from Euler beam theory resulting in no stealthy interaction. Furthermore, Ref.…”

“…Based on the authors' previous work [2][3][4][5], the total ERR G is calculated as follows: The work in Refs. [2][3][4]6] has shown that in Euler beam theory with rigid interfaces, the two sets of orthogonal pure modes do not coincide and that this results in 'stealthy' interactions which change the ERR partitions I G and II G but do not change the total ERR G . The work in…”

Partition of mixed-mode fractures in 2D elastic orthotropic laminated beams under general loading

“…Based on the authors' previous work [1,[6][7][8][9][10][21][22][23], the total ERR under the general loading conditions as shown in Fig. 1a can be written as…”

“…The authors' partition theory based on classical beam theory [6][7][8][9][10] has given excellent predictions of mixed-mode fracture toughness for delamination in generally laminated composite beams [8][9][10] when compared against the experimental test data from some independent comprehensive testing [11][12][13][14][15][16][17][18][19][20]. In comparison, mixed-mode partition theories based on 2D elasticity [1,4] have shown poor correlation with experimental results.…”

“…The format of this paper is as follows: Initially, in Section 2.1, the ERR partition based on Timoshenko beam theory [6][7][8][9][10] is extended to consider a 2D elastic orthotropic DCB with through-thickness shear forces alone at the crack tip. Then, in Section 2.2, a mixed-mode partition theory is established for the DCB under general loading conditions which include crack tip bending moments, axial forces and shear forces.…”