Damage accumulation for growth of anti-plane crack in work-hardening material |
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Authors: | K M S Mahmoud M K Kassir |
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Institution: | Department of Civil Engineering, The City College of The City University of New York, Convent Ave at 138th Street, New York, NY 10031, USA |
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Abstract: | Elastic–plastic solutions of an anti-plane crack in an infinite body are used in conjunction with a continuum damage model to describe the conditions necessary for the onset of crack instability, fatigue crack propagation due to cyclic loading, and rates of crack growth due to time dependent events. A power law relates the stress to the strain of the material. The damage, which invokes nucleation, growth and coalescence of microvoids due to elevated strain, is confined to the plastic zone surrounding the crack tip. For applied loading below the yield stress, the small-scale and large-scale yielding solutions are used to determine the influence of strain hardening on crack instability and failure. Crack growth due to cyclic loading and time-dependent deformations are studied using the small-scale yielding solution of the deformation theory of plasticity. |
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Keywords: | Crack propagation Strain hardening Elastoplasticity Fatigue of materials Continuum mechanics Mathematical models Stress analysis Deformation Damage accumulation Anti plane cracks Crack instability |
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