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TECHNICAL PAPERS

A Surface Crack in a Graded Medium Under General Loading Conditions

[+] Author and Article Information
S. Dag

F. Erdogan

Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA 18015

J. Appl. Mech 69(5), 580-588 (Aug 16, 2002) (9 pages) doi:10.1115/1.1488661 History: Received April 02, 2001; Revised November 14, 2001; Online August 16, 2002
Copyright © 2002 by ASME
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References

Figures

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Normalized modes I and II stress intensity factors for fixed grip tensile and shear loading, κ=1.8, μ(x)=μ0 exp(γx),σ=8μ0ε0/(κ+1),τ=8μ0γ0/(κ+1)
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Normal crack opening displacement, v*(x)=v(x,+0)−v(x,−0),p(x)=σ0,q(x)=0, κ=2, μ=μ0 exp(γx)
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Tangential crack opening displacement, u*(x)=u(x,+0)−u(x,−0),p(x)=0,q(x)=τ0, κ=2, μ=μ0 exp(γx)
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Normal crack opening displacement for fixed grip loading, v*(x)=v(x,+0)−v(x,−0),σ=8μ0ε0/(κ+1), κ=2, μ=μ0 exp(γx)
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Surface crack in a graded medium
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Convergence of the numerical results for small values of the nonhomogeneity parameter
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Normalized mode I stress intensity factors, κ=2, μ(x)=μ0 exp(γx)
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Normalized mode II stress intensity factors, κ=2, μ(x)=μ0 exp(γx)
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The influence of Poisson’s ratio on the normalized mode I stress intensity factor in a graded half-plane with a surface crack; the case of plane strain, p(x)=σ0,q(x)=0,μ(x)=μ0 exp(γx)
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The influence of Poisson’s ratio on the normalized mode II stress intensity factor in a graded half-plane with a surface crack; the case of plane strain, p(x)=0,q(x)=τ0,μ(x)=μ0 exp(γx)
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Tangential crack opening displacement for fixed grip loading, u*(x)=u(x,+0)−u(x,−0),τ=8μ0γ0/(κ+1), κ=2, μ(x)=μ0 exp(γx)
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A graded half-plane with a surface crack loaded by a sliding rigid circular stamp
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Mode I stress intensity factors for a graded half-plane loaded by a sliding circular stamp as shown in Fig. 12, (b−a)/R=0.1,d/R=0.1, η=0.4, κ=2, μ(x)=μ0 exp(γx)
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Mode II stress intensity factors for a graded half-plane loaded by a sliding circular stamp as shown in Fig. 12, (b−a)/R=0.1,d/R=0.1, η=0.4, κ=2, μ(x)=μ0 exp(γx)
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Normalized force required for a given contact area (b−a)/R=0.1,d/R=0.1, η=0.4, κ=2, μ(x)=μ0 exp(γx)

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