This paper presents a full-field solution for the linear elasto-static problem of a homogeneous infinite Kirchhoff plate with a semi-infinite line crack resting on a two-parameter elastic foundation. The same model describes the problem of a cracked plate equi-biaxially loaded in its mid-plane by a constant normal force and, as a limiting case, the problem of a cracked 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 and skew-symmetric loading conditions are obtained and the role of the soil parameters discussed. In particular, it is shown that a purely local model (Winkler) is unable to provide a safe-proof design limit.

A cracked infinite Kirchhoff plate supported by a two-parameter elastic foundation / Nobili, Andrea; Radi, Enrico; Lanzoni, Luca. - In: JOURNAL OF THE EUROPEAN CERAMIC SOCIETY. - ISSN 0955-2219. - ELETTRONICO. - 34:11(2014), pp. 2737-2744. [10.1016/j.jeurceramsoc.2013.12.029]

### A cracked infinite Kirchhoff plate supported by a two-parameter elastic foundation

#### Abstract

This paper presents a full-field solution for the linear elasto-static problem of a homogeneous infinite Kirchhoff plate with a semi-infinite line crack resting on a two-parameter elastic foundation. The same model describes the problem of a cracked plate equi-biaxially loaded in its mid-plane by a constant normal force and, as a limiting case, the problem of a cracked 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 and skew-symmetric loading conditions are obtained and the role of the soil parameters discussed. In particular, it is shown that a purely local model (Winkler) is unable to provide a safe-proof design limit.
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2014
34
11
2737
2744
A cracked infinite Kirchhoff plate supported by a two-parameter elastic foundation / Nobili, Andrea; Radi, Enrico; Lanzoni, Luca. - In: JOURNAL OF THE EUROPEAN CERAMIC SOCIETY. - ISSN 0955-2219. - ELETTRONICO. - 34:11(2014), pp. 2737-2744. [10.1016/j.jeurceramsoc.2013.12.029]
Nobili, Andrea; Radi, Enrico; Lanzoni, Luca
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