| AN INVESTIGATION ON ASYMPTOTIC NEAR-TIP FIELDS OF DYNAMIC CRACK IN AN ELASTIC-PERFECTLY PLASTIC COMPRESSIBLE MATERIAL |
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| 作者姓名： | Zhu Xiankui |
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| 作者单位： | Zhu Xiankui，Department of Hydraulic Engineering，Tsinghua University，Beijing 100084，China
Hwang Kehchih;Zhang Lin，Department of Engineering Mechanics，Tsinghua University，Beijing 100084，China |
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| 基金项目： | The present work is supported by the National Natural Science Foundation of China |
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| 摘 要： | The stress and deformation fields near the tip of a mode-I dynamic crack steadilypropagating in an elastic-perfectly plastic compressible material are considered under plane strain condi-tions. Within the framework of infinitesimal displacement gradient theory, the material is character-ized by the Von Mises yield criterion and the associated J_2 flow theory of plasticity. Through rigorousmathematical analysis, this paper eliminates the possibilities of elastic unloading and continuousasymptotic fields with singular deformation, and then constructs a fully continuous and boundedasymptotic stress and strain field. It is found that in this solution there exists a parameter (?)_0 whichcannot be determined by asymptotic analysis but may characterize the effect of the far field. Lastly thevariations of continuous stresses, velocities and strains around the crack tip are given numerically fordifferent values of (?)_0.
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| 收稿时间： | 8 February 1997 |
AN INVESTIGATION ON ASYMPTOTIC NEAR-TIP FIELDS OF DYNAMIC CRACK IN AN ELASTIC-PERFECTLY PLASTIC COMPRESSIBLE MATERIAL |
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| Zhu Xiankui,.AN INVESTIGATION ON ASYMPTOTIC NEAR-TIP FIELDS OF DYNAMIC CRACK IN AN ELASTIC-PERFECTLY PLASTIC COMPRESSIBLE MATERIAL[J].Acta Mechanica Solida Sinica,1997,10(3):198-211. |
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| Authors: | Zhu Xiankui |
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| Institution: | (1) Department of Hydraulic Engineering, Tsinghua University, 100084 Beijing, China;(2) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, China |
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| Abstract: | The stress and deformation fields near the tip of a mode-I dynamic crack steadily propagating in an elastic-perfectly plastic compressible material are considered under plane strain condi- tions. Within the framework of infinitesimal displacement gradient theory, the material is character- ized by the Von Mises yield criterion and the associated J_2 flow theory of plasticity. Through rigorous mathematical analysis, this paper eliminates the possibilities of elastic unloading and continuous asymptotic fields with singular deformation, and then constructs a fully continuous and bounded asymptotic stress and strain field. It is found that in this solution there exists a parameter _0 which cannot be determined by asymptotic analysis but may characterize the effect of the far field. Lastly the variations of continuous stresses, velocities and strains around the crack tip are given numerically for different values of _0. |
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| Keywords: | plane strain elastic-perfectly plastic material compressibility mode-I crack dynamic propagation asymptotic field |
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