Dynamic stress distribution around the tip of a running crack

✍ Scribed by Y.M. Tsai

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 840 KB
• Volume: 6
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(74)90008-3

✦ Synopsis

The stress distribution is obtained around the tip of a crack runmng in a brittle material. The stresses are written as the sum of the associated static solution and the wave-effect terms which depend upon the crack speed. The results obtained clearly reduce to the associated static solutions if the crack speed vanishes.

Near the tip of the crack, the dynamic stress-intensity factor for the circumferential stress, a,, is written as the product of the associated static stress-intensity factor and the dynamic correction factor which is a nondimensional function of the crack speed, V, the angle from the crack plane, ~3, and Poisson's ratio, v. The value of the correction factor is computed for various values of V and 6 at Y = 0.25. It is shown that the maximum tensile value of eW occurs on the crack plane for V less than 0.7 time shear wave speed, cz, and suddenly shifts to the pIane of 6 = 55" for V shgbtly larger than 0.7 c2. For V >0*7 cI, the angle B for the maximum oW, B being larger than 55", varies continuously with the crack speed, V. The results obtained are used to discuss the growth of branching crack.