| Elastic-plastic growth of plane stress mode II cracks in power law hardening solids |
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| 作者姓名： | PAN Hao |
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| 作者单位： | Central Iron and Steel Research Institute, Beijing 100081, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant No. 1880361) |
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| 摘 要： | The asymptotic analysis of near tip field of plane stress mode II cracks growing quasi-statically in steadiness in power law hardening solids has been performed. Attention was focused on the behavior of the asymptotic solutions as hardening exponent n→∞. Analytical expressions of the dominant terms of velocities and flow factor in centered fan sectors were obtained by expanding them in series of the small parameter s=2/(n-1). Results show that, as n→∞, all the expressions of dominant terms of quantities in near tip field tend to their corresponding ones for elastic-perfectly plastic materials. The effect of hardening exponent n on the angular variations of stresses in near tip field is very weak. Analysis and discussion that related to plane stress mode I crack problem is given in appendix for comparison with results for mode II.
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| 关 键 词： | crack growth hardening solids plane stress mode II mode I asymptotic analysis |
Elastic-plastic growth of plane stress mode II cracks in power law hardening solids |
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| PAN Hao.Elastic-plastic growth of plane stress mode II cracks in power law hardening solids[J].Progress in Natural Science,2003,13(1):31-38. |
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| Authors: | PAN Hao |
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| Institution: | Central Iron and Steel Research Institute, Beijing 100081, China |
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| Abstract: | The asymptotic analysis of near tip field of plane stress mode II cracks growing quasi-statically in steadiness in power law hardening solids has been performed. Attention was focused on the behavior of the asymptotic solutions as hardening exponent n→∞. Analytical expressions of the dominant terms of velocities and flow factor in centered fan sectors were obtained by expanding them in series of the small parameter s=2/(n-1). Results show that, as n→∞, all the expressions of dominant terms of quantities in near tip field tend to their corresponding ones for elastic-perfectly plastic materials. The effect of hardening exponent n on the angular variations of stresses in near tip field is very weak. Analysis and discussion that related to plane stress mode I crack problem is given in appendix for comparison with results for mode II. |
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| Keywords: | crack growth hardening solids plane stress mode II mode I asymptotic analysis |
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