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TECHNICAL PAPERS

Viscoelastic Functionally Graded Materials Subjected to Antiplane Shear Fracture

[+] Author and Article Information
G. H. Paulino

Z.-H. Jin

Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratory, 205 North Mathews Avenue, Urbana, IL 61801

J. Appl. Mech 68(2), 284-293 (Jul 13, 2000) (10 pages) doi:10.1115/1.1354205 History: Received February 24, 2000; Revised July 13, 2000
Copyright © 2001 by ASME
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Figures

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A viscoelastic functionally graded material strip occupying the region |x|<∞ and |y|≤h with a crack at |x|≤a and y=0. The lower boundary of the strip (y=−h) is fixed and the upper boundary (y=h) is subjected to uniform antiplane displacement w0W(t). The symbol ◉ indicates an arrow perpendicular to the strip plane and pointing toward the viewer.
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Normalized Mode III stress intensity factor versus nonhomogeneous material parameter β for various strip thicknesses considering the linear standard solid and the power-law material with constant relaxation time
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Normalized Mode III stress intensity factors versus nonhomogeneous parameter β for three δ values and q=0.4, (a) h/a=0.5; (b) h/a=1.0; (c) h/a=2.0; (d) h/a=20.0
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Time variation of normalized Mode III stress intensity factor (a) standard linear solid (decaying loading); (b) power-law material (decaying loading); (c) standard linear solid (rising loading); (d) power-law material (rising load)
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Normalized Mode III stress intensity factor versus time: Heaviside step function loading, (a) standard linear solid; (b) power-law material; (c) power-law material with position-dependent relaxation time
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Normalized mode III stress intensity factor versus time: exponentially decaying loading, (a) standard linear solid; (b) power-law material; (c) power-law material with position-dependent relaxation time
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Normalized Mode III stress intensity factor versus time: exponentially rising loading (standard linear solid)
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Crack face displacements: Heaviside step function loading, (a) standard linear solid; (b) power-law material with position-dependent relaxation time
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Crack face displacements: exponentially decaying loading, (a) standard linear solid; (b) power-law material with position-dependent relaxation time

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