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| Study on Distribution of Interfacial Stresses in Bimaterial Corners of Edge-bounded Quarter-planes with Stress Singularity at Interface Tip |
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Abstract The distribution of interfacial stresses in bimaterial corners of edge-bonded quarter-planes is investigated with a particular attention to the distribution of interfacial stresses in the vicinity of the singular tip of bimaterial corners.
It is found that, closely near the singular tip, the difference between the rigorous solution and the asymptotic solution of edge-bonded quarter-planes (Bogy, 1970) is a damping stress oscillation stress with tiny amplitude, and it quickly attenuates towards the tip. The starting position of the damping oscillating stress is defined as a transition point. Beyond the transition point, the asymptotic solution is continuously decreasing to zero, and it remarkably deviates from the rigorous solution. From the tip to the transition point, the rigorous solution just equals the sum of the asymptotic solution plus the damping oscillating stress. The segment from the tip to the transition point is called the asymptotic part. From the transition point to infinity, the asymptotic solution is no longer valid, and the interfacial stresses must be determined through the rigorous solution. The segment from the transition point to infinity is called the basic part. Therefore the curve of interfacial stress is divided into the asymptotic part and the basic part by the transition point.
The transition point has a particular significance as it is the joining of the asymptotic part with the basic part. By substituting the coordinate of the transition point into the asymptotic expression, a relationship between the stress intensity factor in the asymptotic part and the interfacial stress at the transition point is deduced. It is believed that the knowledge about the transition point and the relationship between the stress intensity factor in the asymptotic part and the interfacial stress at the transition point will benefit to the development of a criterion of the interfacial initial debonding for bimaterial corners with singularity.
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Received: 26 November 2010
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2011, Vol. 32 
