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TECHNICAL PAPERS

Finite Element Investigation of Quasi-Static Crack Growth in Functionally Graded Materials Using a Novel Cohesive Zone Fracture Model

[+] Author and Article Information
Z.-H. Jin, G. H. Paulino, R. H. Dodds

Department of Civil and Environmental Engineering, University of Illinois at Urbana-Champaign, Newmark Laboratory, MC-250, 205 North Mathews Avenue, Urbana, IL 61801

J. Appl. Mech 69(3), 370-379 (May 03, 2002) (10 pages) doi:10.1115/1.1467092 History: Received June 18, 2001; Revised October 15, 2001; Online May 03, 2002
Copyright © 2002 by ASME
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References

Figures

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Normalized cohesive traction versus nondimensional separation displacement; (a) for metal, σmetmetc versus δ/δmetc; (b) for ceramic, σcermetc versus δ/δmetc (where metal/ceramic strength ratio, σmetccerc, is taken to be 3)
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Normalized cohesive energy density Γfgmcmetccercmetc=0.05,Vmet(X)=(X/b)n), (a) n=0.5; (b) n=1.0
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Interface-cohesive and three-dimensional solid elements
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Volume fraction of metallic phase in a ceramic/metal functionally graded material (FGM)
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Typical mesh for analyses of C(T) specimen
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SE(B) specimen geometry
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Typical mesh for analyses of SE(B) specimen
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Load-crack extension response for the C(T) Ti/TiB specimen with a0/W=0.4,B=4.5 mm; (a) n=0.5; (b) n=1.0; (c) n=2.0
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Load-crack extension response for the C(T) Ti/TiB specimen with a0/W=0.4,B=4.5 mm
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Volume fraction of Ti in the TiB/Ti functional graded material (FGM)
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Load-crack extension response for the SE(B) Ti/TiB specimen with a0/W=0.3,B=7.4 mm,n=0.84
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Load-crack extension response for the SE(B) Ti/TiB specimen with a0/W=0.3,B=7.4 mm; (a) n=0.5; (b) n=1.0; (c) n=2.0
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Load-crack extension response for the SE(B) Ti/TiB specimen with a0/W=0.1,B=7.4 mm; and n=0.5

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