| INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD |
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| 作者姓名： | 周振功 王彪 |
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| 作者单位： | Zhou Zhengong (周振功)，Wang Biao (王 彪) (P O Box 2147，Center for Composite Materials，Harbin Institute of Technology，Harbin 150001，P R China) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｓｅｖｅｒａｌｐｒｅｖｉｏｕｓｐａｐｅｒｓ［１，２，３］，Ｅｒｉｎｇｅｎｄｉｓｃｕｓｓｅｄｔｈｅｓｔａｔｅｏｆｓｔｒｅｓｓｎｅａｒｔｈｅｔｉｐｏｆａｓｈａｒｐｌｉｎｅｃｒａｃｋｉｎａｎｅｌａｓｔｉｃｐｌａｔｅｓｕｂｊｅｃｔｔｏｕｎｉｆｏｒｍｔｅｎｓｉｏｎ，ｓｈｅａｒａｎｄａｎｔｉ＿ｐｌａｎｅｓｈｅａｒ．Ｔｈｅｆｉｅｌｄｅｑｕａｔｉｏｎｓｅｍｐｌｏｙｅｄｉｎｔｈｅｓｏｌｕｔｉｏｎｏｆｔｈｅｓｅｐｒｏｂｌｅｍｓａｒｅｔｈｏｓｅｏｆｔｈｅｔｈｅｏｒｙｏｆｎｏｎ＿ｌｏｃａｌｅ…
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| 关 键 词： | non-local theory Schmidt’s method dual-integral equation |
| 收稿时间： | 2 July 1998 |
Investigation of a griffith crack subject to uniform tension using the non-local theory by a new method |
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| Zhou Zhengong,Wang Biao.INVESTIGATION OF A GRIFFITH CRACK SUBJECT TO UNIFORM TENSION USING THE NON-LOCAL THEORY BY A NEW METHOD[J].Applied Mathematics and Mechanics(English Edition),1999,20(10):1099-1107. |
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| Authors: | Zhou Zhengong Wang Biao |
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| Institution: | (1) Center for Composite Materials, Harbin Institute of Technology, P.O. Box 2147, 150001 Harbin, P R China |
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| Abstract: | Field equations of the non_local elasticity are solved to determine the state of stress in a plate with a Griffith crack subject to uniform tension. Then a set of dual_integral equations is solved using a new method, namely Schmidt's method. This method is more exact and more reasonable than Eringen's one for solving this kind of problem. Contrary to the solution of classical elasticity, it is found that no stress singularity is present at the crack tip. The significance of this result is that the fracture criteria are unified at both the macroscopic and the microscopic scales. The finite hoop stress at the crack tip depends on the crack length. |
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| Keywords: | non_local theory Schmidt's method dual_integral equation |
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