| ASYMPTOTIC DYNAMIC SOLUTION TO THE MODE Ⅰ PROPAGATING CRACK-TIP FIELD IN ELASTIC-VISCOPLASTIC MATERIAL |
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| 摘 要： | A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode Ⅰ cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that the crack-tip field is of logarithmic singularity for smaller viscosity, however no solution exists for large viscosity. By a careful analysis and comparison, it is found that the present results retain all merits of those given by Gao Yu-chen, while removing existing problems.
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| 收稿时间： | 2001-09-10 |
Asymptotic dynamic solution to the mode I propagating crack-tip field in elastic-viscoplastic material |
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| Li Fan-chun. Asymptotic dynamic solution to the mode I propagating crack-tip field in elastic-viscoplastic material[J]. Applied Mathematics and Mechanics(English Edition), 2003, 24(2): 208-215. DOI: 10.1007/BF02437627 |
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| Authors: | Li Fan-chun |
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| Affiliation: | (1) Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, PR China;(2) School of Civil Engineering, Harbin Engineering University, 150001 Harbin, PR China |
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| Abstract: | A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode1 cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that the crack-tip field is of logarithmic singularity for smaller viscosity, however no solution exists for large viscosity. By a careful analysis and comparison, it is found that the present results retain all merits of those given by Gao Yu-chen, while removing existing problems. Communicated by HE Ji-huan, Original Member of Editorial Committee, AMM Biography: LI Fan-chun (1960-), Professor, Doctor |
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| Keywords: | crack-tip field dynamic propagating viscoplastic |
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