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TECHNICAL PAPERS

On the Reference Length and Mode Mixity for a Bimaterial Interface

[+] Author and Article Information
A. Agrawal

Department of Mechanical Engineering, University of Delaware, Newark, DE 19716

A. M. Karlsson1

Department of Mechanical Engineering, University of Delaware, Newark, DE 19716karlsson@udel.edu

Some similarities between the specimens must be assumed, e.g., both sets can be considered as either plane strain or plane stress.

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There are infinitely many possibilities to select the intersection point, since the range of the $ψ$-axis is not the same for $A$ and $B$, and we only match the $Γint$-axis. The seemingly arbitrary approach used here would converge to a specific value if enough tests were done so that the extrapolation would not be needed.

1

Corresponding author.

J. Eng. Mater. Technol 129(4), 580-587 (May 05, 2007) (8 pages) doi:10.1115/1.2772340 History: Received January 09, 2007; Revised May 05, 2007

Abstract

We investigate properties that govern interfacial fracture within the framework of linear elastic fracture mechanics, including interfacial fracture toughness, mode mixity, and the associated reference length. The reference length describes the arbitrary location where the mode mixity is evaluated, ahead of the crack tip, in a bimaterial system. A method for establishing a reference length that is fixed for a given bimaterial system is proposed. This is referred to as the “characteristic reference length,” with the associated “characteristic mode mixity.” The proposed method is illustrated with an experimental investigation, utilizing a four-point bend test of a bimaterial system.

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Figures

Figure 1

Geometry and nomenclature of a bimaterial interface

Figure 2

Geometry and nomenclature of a notched, four-point flexure specimen

Figure 3

Experimental setup

Figure 4

Finite element model of the four-point flexure specimen where boundary conditions and imposed loads are indicated (shown under loading with exaggerated deformations)

Figure 5

Interface toughness curve for specimen sets A and B

Figure 6

Combined interface toughness curve

Figure 7

Fracture pattern for (a) specimens of type A1 and (b) specimens of type B4

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