By D.M. R. Taplin
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Extra info for Analysis and Mechanics. Fourth International Conference on Fracture June 1977 University of Waterloo, Canada
0. 5 14 Fracture 1977, Volume 3, ICF4, Waterloo, Canada, June 19 - 24, 1977 DETERMINATION OF CRACK GROWTH IN A MIXED MODE LOADING SYSTEM A. de S. Jayatilaka, I. J. Jenkins and S. V. Prasad* INTRODUCTION Studies on the propagation of cracks under an applied load are not readily analyzed when the cracks are not lying perpendicular to the applied stress. When a crack is orientated at some angle to the applied field, the mode of fracture is not a simple Mode 1 or Mode 2 but a combination of both. Griffith  considered crack propagation to be primarily an energetic pro cess and that the crack extends in a plane coincident to the plane con taining the original crack.
Briefly, the experimental set-up was as follows. 7 mm) containing both a radially cracked hole and a centre crack in series as shown in Figure 4, were subjected to complex variable ampli tude loading representative of an aircraft stress history. Since the crack growth exponent m would not be known a priori, computations were made for m = 3, 4, and 5, a range encompassing expected values for this material. Note in Figure 4 that these analytical predictions closely bound the test data. Thus, this excellent agreement between experiment and analysis lends credence to equation (9), and subsequent development of equation (12).
D2S dS ^ = 0 at 9 = 6 o a n d ^ > 0 . 16 (7) Part V - Analysis and Mechanics The resistance to crack growth is determined by the total strain energy density which reaches a critical value, S 1 ,,^^, at 0 crit* o' crit V + S d' at 6 = 0 (8) UNIAXIAL TENSION For a crack extending in a mixed mode system, Kj and KJJ are given by the following expressions. o/nai K = oVira sin II (9) Figure 4 shows the variation of 0 O as a function of 3- Table 1 is a com parison of theoretical results of 0 O due to Sih , the authors and the experimental results of Erdogan and Sih .