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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Grahic Jump Location
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)
Grahic Jump Location
Normalized cohesive energy density Γfgmcmetccercmetc=0.05,Vmet(X)=(X/b)n), (a) n=0.5; (b) n=1.0
Grahic Jump Location
Interface-cohesive and three-dimensional solid elements
Grahic Jump Location
Volume fraction of metallic phase in a ceramic/metal functionally graded material (FGM)
Grahic Jump Location
Typical mesh for analyses of C(T) specimen
Grahic Jump Location
SE(B) specimen geometry
Grahic Jump Location
Typical mesh for analyses of SE(B) specimen
Grahic Jump Location
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
Grahic Jump Location
Load-crack extension response for the C(T) Ti/TiB specimen with a0/W=0.4,B=4.5 mm
Grahic Jump Location
Volume fraction of Ti in the TiB/Ti functional graded material (FGM)
Grahic Jump Location
Load-crack extension response for the SE(B) Ti/TiB specimen with a0/W=0.3,B=7.4 mm,n=0.84
Grahic Jump Location
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
Grahic Jump Location
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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