The problem of an orthotropic strip containing two collinear cracks normal to the strip boundaries is considered. The Fourier series method is used to reduce the associated boundary value problem to triple series equations, then to a singular integral equation, which can be solved analytically. Unde
Closed-form solution for a mode-III interfacial edge crack between two bonded dissimilar elastic strips
β Scribed by Xiang-Fa Wu; Yuris A. Dzenis
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 94 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0093-6413
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β¦ Synopsis
A closed-form solution is obtained for the problem of a mode-III interfacial edge crack between two bonded semiinfinite dissimilar elastic strips. A general out-of-plane displacement potential for the crack interacting with a screw dislocation or a line force is constructed using conformal mapping technique and existing dislocation solutions. Based on this displacement potential, the stress intensity factor (SIF, K III ) and the energy release rate (ERR, G III ) for the interfacial edge crack are obtained explicitly. It is shown that, in the limiting special cases, the obtained results coincide with the results available in the literature. The present solution can be used as the GreenΓs function to analyze interfacial edge cracks subjected to arbitrary anti-plane loadings. As an example, a formula is derived correcting the beam theory used in evaluation of SIF (K III ) and ERR (G III ) of bimaterials in the double cantilever beam (DCB) test configuration.
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