Abstract
Circular and nearly circular connections between two elastic half-spaces subjected to a uniform mismatch strain are analyzed using three dimensional weight function theory. The solution for a circular connection is obtained by superposing on the weight function solutions derived by Gao [1]. For mismatched connections whose shapes differ slightly from circles we use first order perturbation formulae presented in [2] to calculate the stress intensity factors and develop a solution by Fourier series by considering harmonic wave form perturbations of the crack front position.
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Gao, H. Mismatched elastic connections. Int J Fract 45, 131–143 (1990). https://doi.org/10.1007/BF00037171
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DOI: https://doi.org/10.1007/BF00037171