Crack propagation in the power-law nonlinear viscoelastic material

✍ Scribed by Zhang Shuangyin; Xiong Dianyuan

• Publisher: Springer
• Year: 1997
• Tongue: English
• Weight: 419 KB
• Volume: 18
• Category: Article
• ISSN: 0253-4827
• DOI: 10.1007/bf00132800

✦ Synopsis

An analysis on crack creep propagation problem of power-law nonlinear viscoelastic materials is presented. The creep incompressilility assumption is used. To simulate fracture behavior of ware region, it is assumed that in the ,fracture process zoue near the crack tip, the cohesive stress of acts upon the crack surfaces and resists crack opening. Through a pertmbarion method, i. e., by superposing the Mode-i applied force onto a referential uniform stress state, which has a trivial solutiori alld gives no effect on the solutiotz of the origirlal problem, the nonlinear viscoelastic problem is reduced to linear problem. For weak nonlinear materials, for which the power-law index n&l, the espressiom of stress and crack surface displacement are derived. Then, the fracture process zone local energy criterion is proposed altd based on which the formulas of crackirlg incubatiolz the t" and crack slow propagation velocity ci are derived.