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

doi:10.1007/s10483-014-1838-9

Abstract

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

2010 MSC Number:

O346

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

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