Dynamics of a Mode III Crack Impacted by Elastic Wave in Half Space with a Removable Rigid Cylindrical Inclusion

Zai Lin Yang; Dian Kui Liu; Xiao Lang Lv

doi:10.4028/www.scientific.net/KEM.324-325.679

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 324-325Dynamics of a Mode III Crack Impacted by Elastic...

Dynamics of a Mode III Crack Impacted by Elastic Wave in Half Space with a Removable Rigid Cylindrical Inclusion

Abstract:

Scattering of SH wave by a crack is studied in elastic half space with a removable rigid cylindrical inclusion by Green’s function, complex function and moving coordinate method. In half space, firstly the scattering wave function of removable rigid cylindrical inclusion is constructed; next a suitable Green’s function is solved for present problem, then using crack-division to make a crack. Thus the solution of problem can be obtained. Numerical examples are provided and discussed.

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Periodical:

Key Engineering Materials (Volumes 324-325)

Pages:

679-682

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.324-325.679

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Online since:

November 2006

Authors:

Zai Lin Yang, Dian Kui Liu, Xiao Lang Lv

Keywords:

Crack, Dynamic Stress Concentration Factor (DSCF), Dynamic Stress Intensity Factor (DSIF), Green's Function, Scattering of SH-Wave

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References

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[1] [2] [3] [4] DSCF h1/R=1. 1 h2/R=1. 1 KR=1. 0 2a=1 b=0 α0=π/2 β0=0 ρ*=0. 001 ρ*=1. 0 ρ*=3. 0 ρ*=1000 Fig. 2 Distribution of DSCF around the edge of removable rigid inclusion.

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[10] 20 30 40 50 60 70 80 90 100.

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[2] [4] [6] [8] [10] ka=1. 0 ka=1. 5 ρ∗=2. 0 α0=π/6 β0=0 h2/R=1. 5 2a=2 b=-1 ka=0. 1 ka=0. 5 K3 h1/R Fig. 3 Variation of DSIF at the tip of crack with /h R.

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2 4 6 8 10.

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[2] [4] [6] [8] [10] b=-1 α0=π/2 β0=0 h1/R=1. 1 h2/R=1. 1 2a=2. 0 ka=0. 1 ka=0. 5 ka=1. 0 ka=1. 5 k3 ρ∗ Fig. 4 Variation of DSIF at the tip of crack with *ρ.

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