Mathematical Problems in the Integral-Transformation Method of Dynamic Crack

BIAN Wen-feng; WANG Biao; JIA Bao-xian

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(3): 228-232

BIAN Wen-feng, WANG Biao, JIA Bao-xian. Mathematical Problems in the Integral-Transformation Method of Dynamic Crack[J]. Applied Mathematics and Mechanics, 2004, 25(3): 228-232.

Citation:

BIAN Wen-feng, WANG Biao, JIA Bao-xian. Mathematical Problems in the Integral-Transformation Method of Dynamic Crack[J]. Applied Mathematics and Mechanics, 2004, 25(3): 228-232.

Citation:

BIAN Wen-feng, WANG Biao, JIA Bao-xian. Mathematical Problems in the Integral-Transformation Method of Dynamic Crack[J]. Applied Mathematics and Mechanics, 2004, 25(3): 228-232.

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Mathematical Problems in the Integral-Transformation Method of Dynamic Crack

1.
Automobile Institute, Harbin Institute of Technology, Weihai, Shandong 264209, P. R. China;

Received Date: 2002-10-29
Rev Recd Date: 2003-10-20
Publish Date: 2004-03-15

Abstract

Abstract

In the investigation on fracture mechanics, the potential function was introduced, and the moving differential equation was constructed. By making Laplace and Fourier transformation as well as sine and cosine transformation to moving differential equations and various responses, the dual equation which is constructed from boundary conditions lastly was solved. This method of investigating dynamic crack has become a more systematic one that is used widely. Some problems are encountered when the dynamic crack is studied. After the large investigation on the problems, it is discovered that during the process of mathematic derivation, the method is short of precision, and the derived results in this method are accidental and have no credibility. A model for example is taken to explain the problems existing in initial deriving process of the integral-transformation method of dynamic crack.
- potential function,
- integral transform,
- dynamic crack,
- dual equation

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References(10)

References

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