SELF-SIMILAR SOLUTIONS OF FRACTURE DYNAMICS PROBLEMS ON AXIALLY SYMMETRY

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1429-1435.

SELF-SIMILAR SOLUTIONS OF FRACTURE DYNAMICS PROBLEMS ON AXIALLY SYMMETRY

吕念春¹, 程云虹¹, 程靳², 屈德志³

1. Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin50001, P. R. China;
2. Department of Civil Engineering, Northeastern University, Shenyang10006, P. R. China;
3 Compressive Vessel Manufacturer of Constructive Installation Group Company of Daqing,Daqing 163711,P R China

收稿日期:1999-10-08 修回日期:2000-06-29 出版日期:2001-12-18 发布日期:2001-12-18

SELF-SIMILAR SOLUTIONS OF FRACTURE DYNAMICS PROBLEMS ON AXIALLY SYMMETRY

Lü Nian-chun¹, CHENG Jin¹, CHENG Yun-hong², QU De-zhi³

1. Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin50001, P. R. China;
2. Department of Civil Engineering, Northeastern University, Shenyang10006, P. R. China;
3 Compressive Vessel Manufacturer of Constructive Installation Group Company of Daqing,Daqing 163711,P R China

Received:1999-10-08 Revised:2000-06-29 Online:2001-12-18 Published:2001-12-18

摘要/Abstract

摘要： By the theory of complex functions, a penny-shaped crack on axially symmetric propagating problems for composite materials was studied. The general representations of the analytical solutions with arbitrary index of self-similarity were presented for fracture elastodynamics problems on axially symmetry by the ways of self-similarity under the ladder-shaped loads. The problems dealt with can be transformed into Riemann-Hilbert problems and their closed analytical solutions are obtained rather simple by this method. After those analytical solutions are utilized by using the method of rotational superposition theorem in conjunction with that of Smirnov-Sobolev, the solutions of arbitrary complicated problems can be obtained.

Abstract: By the theory of complex functions, a penny-shaped crack on axially symmetric propagating problems for composite materials was studied. The general representations of the analytical solutions with arbitrary index of self-similarity were presented for fracture elastodynamics problems on axially symmetry by the ways of self-similarity under the ladder-shaped loads. The problems dealt with can be transformed into Riemann-Hilbert problems and their closed analytical solutions are obtained rather simple by this method. After those analytical solutions are utilized by using the method of rotational superposition theorem in conjunction with that of Smirnov-Sobolev, the solutions of arbitrary complicated problems can be obtained.

中图分类号:

O346.1

吕念春;程云虹;程靳;屈德志. SELF-SIMILAR SOLUTIONS OF FRACTURE DYNAMICS PROBLEMS ON AXIALLY SYMMETRY[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1429-1435.

L&#;Nian-chun;CHENG Jin;CHENG Yun-hong;QU De-zhi. SELF-SIMILAR SOLUTIONS OF FRACTURE DYNAMICS PROBLEMS ON AXIALLY SYMMETRY[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(12): 1429-1435.

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SELF-SIMILAR SOLUTIONS OF FRACTURE DYNAMICS PROBLEMS ON AXIALLY SYMMETRY

SELF-SIMILAR SOLUTIONS OF FRACTURE DYNAMICS PROBLEMS ON AXIALLY SYMMETRY

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