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Article

Interaction Between Interfacial Cavity/Crack and Internal Crack—Part II: Simulation

[+] Author and Article Information
P. B. Prasad, Norio Hasebe, X. F. Wang

Postdoctoral ResearcherProfessorResearch AssociateDepartment of Civil Engineering,  Nagoya Institute of Technology, Gokiso-Cho, Showa-Ku, Nagoya 466, Japan

J. Appl. Mech 72(3), 394-399 (Nov 24, 2003) (6 pages) doi:10.1115/1.1876433 History: Received August 05, 2003; Revised November 24, 2003

This paper discusses the interaction of an interfacial cavity/crack with an internal crack in a bimaterial plane under uniform loading at infinity. The point dislocation solution is used to simulate internal crack by using the distributed dislocation technique. The resulting singular integral equation is solved numerically and the stress intensity factor variations are plotted for some cases of internal crack interacting with interfacial cavity/crack.

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Copyright © 2005 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Internal crack interacting with interfacial cavity

Grahic Jump Location
Figure 2

Normalized SIF of an internal crack parallel to the interface and interacting with an interfacial crack (a∕c=1,b∕c=0,e∕c=2) (loading normal to the interface): (a) crack tip A (b) crack tip B; (ν1=ν2=0.3;FI,II=KI,II∕pπc)

Grahic Jump Location
Figure 3

Normalized SIF of an internal crack parallel to the interface and interacting with an interfacial circular hole (a∕c=1,b∕c=1,e∕c=2) (loading normal to the interface): (a) crack tip A (b) crack tip B; (ν1=ν2=0.3;FI,II=KI,II∕pπc)

Grahic Jump Location
Figure 4

Normalized SIF of an internal crack parallel to the interface and interacting with an interfacial elliptical hole (a∕c=0.5,b∕c=1,e∕c=1.5) (loading normal to the interface): (a) crack tip A (b) crack tip B; (ν1=ν2=0.3;FI,II=KI,II∕pπc)

Grahic Jump Location
Figure 5

Normalized SIF of an internal crack parallel to the interface and interacting with an interfacial elliptical hole (a∕c=1,b∕c=0.5,e∕c=2) (loading normal to the interface): (a) crack tip A (b) crack tip B; (ν1=ν2=0.3;FI,II=KI,II∕pπc)

Grahic Jump Location
Figure 6

Normalized SIF of an internal crack perpendicular to the interface and interacting with an interfacial circular hole (a∕c=1,b∕c=1) (loading parallel to the interface); (ν1=ν2=0.3;FA,B=KA,B∕pπc)

Grahic Jump Location
Figure 7

Normalized SIF of an internal crack perpendicular to the interface and interacting with an interfacial elliptical hole (a∕c=0.5,b∕c=1) (loading parallel to the interface); (ν1=ν2=0.3;FA,B=KA,B∕pπc)

Grahic Jump Location
Figure 8

Normalized SIF of an internal crack perpendicular to the interface and interacting with an interfacial elliptical hole (a∕c=1,b∕c=0.5) (loading parallel to the interface); (ν1=ν2=0.3;FA,B=KA,B∕pπc)

Grahic Jump Location
Figure 9

Normalized SIF of an internal crack perpendicular to the interface and interacting with an interfacial crack (a∕c=0,b∕c=1) (loading parallel to the interface); (ν1=ν2=0.3;FA,B=KA,B∕pπc)

Grahic Jump Location
Figure 10

Interfacial hole edge crack interacting with an internal crack

Grahic Jump Location
Figure 11

Normalized stress intensity of debonding (SID) of an interfacial hole edge crack (a∕c=2,e∕c=3,h∕c=2;ν1=ν2=0.3;SID=cosh(πε1)KDKD¯∕pπc)

Grahic Jump Location
Figure 12

Normalized SIF of an internal crack interacting with an interfacial circular hole edge crack (loading normal to the interface): (a) crack tip A (b) crack tip B(a∕c=2,e∕c=3,h∕c=2;ν1=ν2=0.3;FI,II=KI,II∕pπc)

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