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Journal of the European Ceramic Society, Available online 25 January 2014.
A. Nobili, E. Radi, L. Lanzoni,
Dipartimento di Ingegneria Enzo Ferrari, Università degli Studi di Modena e Reggio Emilia, via Vignolese 905, 41122 Modena, Italy and
Dipartimento di Sienze e Metodi dell’Ingegneria, Università degli Studi di Modena e Reggio Emilia, via Amendola 2, 42122 Reggio Emilia, Italy and
Dipartimento di Economia e Tecnologia, Università degli Studi della Repubblica di San Marino, via Salita alla Rocca 44, 47890, San Marino.
Abstract
This paper presents a full-field solution for the linear elasto-static problem of a homogeneous infinite Kirchhoff plate with a semi-infinite rectilinear crack resting on a two-parameter elastic foundation. The same model describes the problem of a plate equi-biaxially loaded in its mid-plane by a constant normal force and, as a limiting case, the problem of a spherical shell. The full-field solution is obtained in closed form through the Wiener–Hopf method in terms of Fourier integrals. The stress-intensity factor (SIF) for the case of symmetric (K1) and skew-symmetric (K2) loading conditions is obtained and the role of the soil parameters is discussed. In particular, it is shown that a purely local model (Winkler) is unable to provide a safe-proof design limit.
