ASYMPTOTIC ANALYSIS OF MODE Ⅱ STATIONARY GROWTH CRACK ON ELASTIC-ELASTIC POWER LAW CREEPING BIMATERIAL INTERFACE

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (2): 228-235.

ASYMPTOTIC ANALYSIS OF MODE Ⅱ STATIONARY GROWTH CRACK ON ELASTIC-ELASTIC POWER LAW CREEPING BIMATERIAL INTERFACE

唐立强¹, 李永东², 刘长海³

1. College of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China;
2. Department of Mechanics Engineering, PLA Armored Force Engineering Institute, Beijing 100072, P. R. China;
3. Daqing Petroleum Institute, Daqing 163318, P. R. China

收稿日期:2001-04-03 修回日期:2003-08-03 出版日期:2004-02-18 发布日期:2004-02-18
基金资助:
the Natural Science Foundation of Heilongjiang Province, China (A009)

ASYMPTOTIC ANALYSIS OF MODE Ⅱ STATIONARY GROWTH CRACK ON ELASTIC-ELASTIC POWER LAW CREEPING BIMATERIAL INTERFACE

TANG Li-qiang¹, LI Yong-dong², LIU Chang-hai ³

1. College of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China;
2. Department of Mechanics Engineering, PLA Armored Force Engineering Institute, Beijing 100072, P. R. China;
3. Daqing Petroleum Institute, Daqing 163318, P. R. China

Received:2001-04-03 Revised:2003-08-03 Online:2004-02-18 Published:2004-02-18
Supported by:
the Natural Science Foundation of Heilongjiang Province, China (A009)

摘要/Abstract

摘要： A mechanical model was established for mode Ⅱ interfacial crack static growing along an elastic-elastic power law creeping bimaterial interface. For two kinds of boundary conditions on crack faces, traction free and frictional contact, asymptotic solutions of the stress and strain near tip-crack were given. Results derived indicate that the stress and strain have the same singularity, there is not the oscillatory singularity in the field; the creep power-hardening index n and the ratio of Young's module notably influence the crack-tip field in region of elastic power law creeping material and n only influences distribution of stresses and strains in region of elastic material. When n is bigger, the creeping deformation is dominant and stress fields become steady,which does not change with n. Poisson's ratio does not affect the distributing of the crack-tip field.

Abstract: A mechanical model was established for mode Ⅱ interfacial crack static growing along an elastic-elastic power law creeping bimaterial interface. For two kinds of boundary conditions on crack faces, traction free and frictional contact, asymptotic solutions of the stress and strain near tip-crack were given. Results derived indicate that the stress and strain have the same singularity, there is not the oscillatory singularity in the field; the creep power-hardening index n and the ratio of Young's module notably influence the crack-tip field in region of elastic power law creeping material and n only influences distribution of stresses and strains in region of elastic material. When n is bigger, the creeping deformation is dominant and stress fields become steady,which does not change with n. Poisson's ratio does not affect the distributing of the crack-tip field.

中图分类号:

O346
74R10

唐立强;李永东;刘长海. ASYMPTOTIC ANALYSIS OF MODE Ⅱ STATIONARY GROWTH CRACK ON ELASTIC-ELASTIC POWER LAW CREEPING BIMATERIAL INTERFACE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(2): 228-235.

TANG Li-qiang;LI Yong-dong;LIU Chang-hai . ASYMPTOTIC ANALYSIS OF MODE Ⅱ STATIONARY GROWTH CRACK ON ELASTIC-ELASTIC POWER LAW CREEPING BIMATERIAL INTERFACE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(2): 228-235.

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ASYMPTOTIC ANALYSIS OF MODE Ⅱ STATIONARY GROWTH CRACK ON ELASTIC-ELASTIC POWER LAW CREEPING BIMATERIAL INTERFACE

ASYMPTOTIC ANALYSIS OF MODE Ⅱ STATIONARY GROWTH CRACK ON ELASTIC-ELASTIC POWER LAW CREEPING BIMATERIAL INTERFACE

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