A numerical method for crack growth analysis in linearly viscoelastic materials |
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| Authors: | S.G. Russell N.C. Huang |
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| Affiliation: | 1. Department of Mathematics, Kalyani Government Engineering College, Kalyani 741235, India;2. Department of Mathematics, Jadavpur University, Kolkata-700032, West Bengal, India;1. Department of Mechanical Engineering, The University of Texas at Dallas, Richardson, TX, United States;2. Karagozian & Case, Inc., Glendale, CA, United States;3. Department of Civil, Environmental, and Architectural Engineering, University of Colorado, Boulder, CO, United States;4. Department of Civil and Environmental Engineering, The University of Tennessee, Knoxville, TN, United States |
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| Abstract: | This paper presents a numerical method for the analysis of crack initiation and extension in linearly viscoelastic materials undergoing Mode I plane stress deformation. Plastic deformation near the crack tip is considered by a strip-yielding model. The crack initiation and growth are taken to follow a critical energy release rate fracture criterion, and the plastic work per unit crack extension is included in the calculation of the total energy release rate. The resulting numerical method is presented in algorithmic form and two example problems are solved to demonstrate its application. The two example problems represent unstable and stable crack propagations respectively. The results obtained lend insight into the effect of creep deformation on the initiation and growth of a crack. |
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