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Steady-state growing crack-tip field characteristics of mode III elastic-viscoplastic/rigid interface cracks

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Abstract

The existence of viscosity effect at the interface of double dissimilar materials has an important impact on the distribution of the interface crack-tip field and the properties variety of the interface itself. The singularity and viscosity are considered in the crack-tip. The elastic-viscoplastic governing equations of double dissimilar materials at the interface crack-tip field are established. The displacement potential function and boundary condition of interface crack-tip are introduced. The numerical analysis of elastic-viscoplastic/rigid interface for mode III is worked out. The stress-strain fields are obtained at the crack-tip and the variation rules of solutions are discussed according to each parameter. The numerical results show that the viscosity effect is a main factor of the interface propagating in the crack-tip field, and the interface crack-tip is a viscoplastic field governed by the viscosity coefficient, Mach number (Ma), and singularity exponent.

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Correspondence to Wen-yan Liang  (梁文彦).

Additional information

Communicated by Xing-ming GUO

Project supported by the Ph. D. Programs Foundation of Ministry of Education of China (No. 20060217010) and the Fundamental Research Foundation of Harbin Engineering University (No. HEUFT07005)

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Liang, Wy., Wang, Zq. & Yang, Zj. Steady-state growing crack-tip field characteristics of mode III elastic-viscoplastic/rigid interface cracks. Appl. Math. Mech.-Engl. Ed. 31, 227–235 (2010). https://doi.org/10.1007/s10483-010-0210-9

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  • DOI: https://doi.org/10.1007/s10483-010-0210-9

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Chinese Library Classification

2000 Mathematics Subject Classification

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