Transient crack growth under creep conditions |
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| Affiliation: | 1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400030, China;2. Department of Mechanical Engineering, Southwest Jiaotong University, Sichuan 610031, China;3. Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA;1. Department of Metallurgical and Materials Engineering, Indian Institute of Technology Madras, Chennai 600036, India;2. Department of Materials Engineering, Indian Institute of Science, Bengaluru 560012, India |
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| Abstract: | Transient crack growth in an elastic/power-law creeping material is investigated under antiplane shear loading and small-scale-yielding conditions. At time t = 0 the solid is suddenly loaded far from the crack by tractions that correspond to the elastic crack-tip stress distribution. At that time the crack begins to propagate at a constant velocity. The stress fields evolve in a complex manner as the crack propagates due to the competing effects of stress relaxation due to constrained creep and stress elevation due to the instantaneous elastic material response to crack growth. From detailed finite element calculations it is shown that these fields can be approximated by a simple matching of three asymptotic singular crack-tip solutions. A characteristic stress, distance and time are defined for this problem which provide a normalization that accounts for any crack velocity, loading and all material properties for a given creep exponent n. Results are presented for crack-tip stresses, strains, crack opening displacements and creep zones. |
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