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TECHNICAL PAPERS

Scattering From an Elliptic Crack by an Integral Equation Method: Normal Loading

[+] Author and Article Information
T. K. Saha

Department of Mathematics, Surendranath College, 24/2 M. G. Road, Calcutta 700 009, Indiae-mail: tksaha@cubmb.ernet.in

A. Roy

Department of Applied Mathematics, University of Calcutta, 92 A. P. C. Road, Calcutta 700 009, Indiae-mail: aroy@cucc.ernet.in

J. Appl. Mech 69(6), 775-784 (Oct 31, 2002) (10 pages) doi:10.1115/1.1483834 History: Received November 22, 2000; Revised October 22, 2001; Online October 31, 2002
Copyright © 2002 by ASME
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References

Figures

Grahic Jump Location
Scattering geometry of an elliptic crack. ui is the incident displacement field and usc is the scattered field.
Grahic Jump Location
Present method (lines), BIEM (triangles), and Mal (bullets) nondimensional dynamic crack-opening displacement for circular crack for k2a equal to (a) 0.0; (b) 1.4; (c) 3.2; (d) 4.4; and (e) 6.0.
Grahic Jump Location
(a) Dimensionless crack-opening displacement of an 1:1/(√2) elliptic crack with k2a equal to 4.5. (b) Dimensionless crack-opening displacement of an 1:1/(√2) elliptic crack with k2a equal to 5.5.
Grahic Jump Location
Dimensionless crack-opening displacement of an 1:1/(√2) elliptic crack with k2a equal to 5.5 (a) fourth-order system ϕ=0 deg; (b) sixth-order system ϕ=0 deg; (c) eighth-order system ϕ=0 deg; (d) fourth-order system ϕ=90 deg; (e) sixth-order system ϕ=90 deg; (f ) eighth-order system ϕ=90 deg
Grahic Jump Location
(a) Dimensionless crack-opening displacement of an 1:1/2 elliptic crack with k2a equal to 4.5. (b) Dimensionless crack-opening displacement of an 1:1/2 elliptic crack with k2a equal to 5.5.
Grahic Jump Location
Present method (lines), Zhang and Gross (bullets) and Mall (triangles) nondimensional dynamic stress intensity factor for a circular crack for ν=0.25
Grahic Jump Location
Present method (lines) and Zhang and Gross (bullets) nondimensional dynamic stress intensity factor for elliptic cracks with aspect ratio (a) 1:1/2, ϕ=90 deg; (b) 1:1/2, ϕ=0 deg; (c) 1:1/5, ϕ=90 deg; (d) 1:1/5, ϕ=0 deg. ν=0.3.
Grahic Jump Location
Scattering cross section of (a) 1:1; (b) 1:1/(√2); (c) 1:1/3, and (d) 1:1/5 elliptic cracks under normal incidence of a longitudinal wave
Grahic Jump Location
Back-scattered displacement amplitudes of (a) 1:1; (b) 1:1/(√2); (c) 1:1/2; (d) 1:1/3, and (e) 1:1/5 elliptic cracks under normal incidence of a longitudinal wave

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