0
TECHNICAL PAPERS

Transient Response of a Finite Bimaterial Plate Containing a Crack Perpendicular to and Terminating at the Interface

[+] Author and Article Information
Xian-Fang Li

Institute of Mechanics and Sensor Technology, School of Civil Engineering and Architecture, Central South University, Changsha 410083, China

L. Roy Xu1

Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, TN 37235l.roy.xu@vanderbilt.edu

1

To whom correspondence should be addressed.

J. Appl. Mech 73(4), 544-554 (Sep 26, 2005) (11 pages) doi:10.1115/1.2130734 History: Received June 12, 2005; Revised September 26, 2005

The transient response of a finite bimaterial plate with a crack perpendicular to and terminating at the interface is analyzed for two types of boundaries (free-free and clamped-clamped). The crack surface is loaded by arbitrary time-dependent antiplane shear impact. The mixed initial-boundary value problem is reduced to a singular integral equation of a generalized Cauchy kernel for the crack tearing displacement density or screw dislocation density. The Gauss-Jacobi quadrature technique is employed to numerically solve the singular integral equation, and then the dynamic stress intensity factors are determined by implementing a numerical inversion of the Laplace transform. As an example, numerical calculations are carried out for a cracked bimaterial plate composed of aluminum (material I) and epoxy or steel (material II). The effects of material properties, geometry, and boundary types on the variations of dynamic stress intensity factors are discussed in detail. Results indicate that an overshoot of the normalized stress intensity factor of the crack tip at the interface decreases for a cracked bimaterial plate, and the occurrence of which is delayed for a cracked aluminum/epoxy plate compared to a pure aluminum plate with the same crack.

FIGURES IN THIS ARTICLE
<>
Copyright © 2006 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

A finite bimaterial plate with a through crack perpendicular to and terminating at the interface

Grahic Jump Location
Figure 2

Stress intensity factors Khom∞∕τ0(πc)1∕2 and Kint∞∕τ0(πc)1∕2 as a function of tan−1(μI∕μII)

Grahic Jump Location
Figure 3

Normalized stress intensity factors khom(t) versus normalized time csIt∕c for a centrally cracked plate having free-free boundaries

Grahic Jump Location
Figure 4

Normalized stress intensity factors kint(t) versus normalized time csIt∕c for a centrally cracked plate having free-free boundaries

Grahic Jump Location
Figure 5

Normalized stress intensity factors khom(t) versus normalized time csIt∕c for a cracked plate with a:c:hII:L=2:1:0.1:10 having free-free boundaries

Grahic Jump Location
Figure 6

Normalized stress intensity factors kint(t) versus normalized time csIt∕c for a cracked plate with a:c:hII:L=2:1:0.1:10 having free-free type boundaries

Grahic Jump Location
Figure 7

The effects of the thickness of epoxy on khom(t) for a:c:L=2:1:10 having free-free boundaries

Grahic Jump Location
Figure 8

The effects of the thickness of epoxy on kint(t) for a:c:L=2:1:10 having free-free boundaries

Grahic Jump Location
Figure 9

The effects of the thickness of steel on khom(t) for a:c:L=2:1:10 having free-free boundaries

Grahic Jump Location
Figure 10

The effects of the thickness of steel on kint(t) for a:c:L=2:1:10 having free-free boundaries

Grahic Jump Location
Figure 11

The effects of the boundary types on khom(t) for a cracked Al/epoxy plate with a:c:hII=2:1:0.5 for various values of L/c

Grahic Jump Location
Figure 12

The effects of the boundary types on kint(t) for a cracked Al/epoxy plate with a:c:hII=2:1:0.5 for various values of L∕c

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In