Elastic-viscoplastic field at mixed-mode interface crack-tip under compression and shear

doi:10.1007/s10483-014-1838-9

Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (7): 887-896.doi: https://doi.org/10.1007/s10483-014-1838-9

Elastic-viscoplastic field at mixed-mode interface crack-tip under compression and shear

梁文彦, 王振清, 刘方, 刘晓铎

Smart Structures and Advanced Composites Laboratory, College of Aerospace and Civil Engineering of Harbin Engineering University, Harbin 150001, P. R. China

收稿日期:2013-08-07 修回日期:2013-10-02 出版日期:2014-07-01 发布日期:2014-07-01
通讯作者: Wen-yan LIANG, Associate Professor, Ph.D., E-mail:liangwenyan@hrbeu.edu.cn E-mail:liangwenyan@hrbeu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11302054) and the Fundamental Research Funds for the Central Universities (No.HEUCF130216)

Elastic-viscoplastic field at mixed-mode interface crack-tip under compression and shear

Wen-yan LIANG, Zhen-qing WANG, Fang LIU, Xiao-duo LIU

Smart Structures and Advanced Composites Laboratory, College of Aerospace and Civil Engineering of Harbin Engineering University, Harbin 150001, P. R. China

Received:2013-08-07 Revised:2013-10-02 Online:2014-07-01 Published:2014-07-01
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11302054) and the Fundamental Research Funds for the Central Universities (No.HEUCF130216)

摘要/Abstract

摘要： For a compression-shear mixed mode interface crack, it is difficult to solve the stress and strain fields considering the material viscosity, the crack-tip singularity, the frictional effect, and the mixed loading level. In this paper, a mechanical model of the dynamic propagation interface crack for the compression-shear mixed mode is proposed using an elastic-viscoplastic constitutive model. The governing equations of propagation crack interface at the crack-tip are given. The numerical analysis is performed for the interface crack of the compression-shear mixed mode by introducing a displacement function and some boundary conditions. The distributed regularities of stress field of the interface crack-tip are discussed with several special parameters. The final results show that the viscosity effect and the frictional contact effect on the crack surface and the mixed-load parameter are important factors in studying the mixed mode interface cracktip fields. These fields are controlled by the viscosity coefficient, the Mach number, and the singularity exponent.

关键词: Galerkin method, the dynamic equations for Koiter shells, existence and uniqueness, compression-shear mixed mode interface crack, dynamic propagation, viscosity effect, elastic-viscoplastic material, friction effect, mixed-load parameter

Abstract: For a compression-shear mixed mode interface crack, it is difficult to solve the stress and strain fields considering the material viscosity, the crack-tip singularity, the frictional effect, and the mixed loading level. In this paper, a mechanical model of the dynamic propagation interface crack for the compression-shear mixed mode is proposed using an elastic-viscoplastic constitutive model. The governing equations of propagation crack interface at the crack-tip are given. The numerical analysis is performed for the interface crack of the compression-shear mixed mode by introducing a displacement function and some boundary conditions. The distributed regularities of stress field of the interface crack-tip are discussed with several special parameters. The final results show that the viscosity effect and the frictional contact effect on the crack surface and the mixed-load parameter are important factors in studying the mixed mode interface cracktip fields. These fields are controlled by the viscosity coefficient, the Mach number, and the singularity exponent.

Key words: Galerkin method, the dynamic equations for Koiter shells, existence and uniqueness, compression-shear mixed mode interface crack, dynamic propagation, viscosity effect, elastic-viscoplastic material, friction effect, mixed-load parameter

中图分类号:

O346

梁文彦;王振清;刘方;刘晓铎. Elastic-viscoplastic field at mixed-mode interface crack-tip under compression and shear[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(7): 887-896.

Wen-yan LIANG;Zhen-qing WANG;Fang LIU;Xiao-duo LIU. Elastic-viscoplastic field at mixed-mode interface crack-tip under compression and shear[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(7): 887-896.

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Elastic-viscoplastic field at mixed-mode interface crack-tip under compression and shear

Elastic-viscoplastic field at mixed-mode interface crack-tip under compression and shear

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