We consider steady state propagation of a rectilinear crack in a infinite thin elastic Kirchhoff plate bilaterally supported by an elastic Winkler foundation. The crack flanks are subjected to a continuous (between the flanks) harmonic load. The problem's governing equation features the biharmonic operator together with a curvature (along the crack) term. Through application of the Fourier transforms to the even/odd part of the problem, a pair of inhomogenenous uncoupled Weiner-Hopf equations is met. Solution is obtained through numeric factorization of the kernel function. The full-field solution is given, together with conditions on the energy radiation. The special case of stationary crack is also retrieved.

Steady state propagation of a rectilinear crack in a thin elastic plate supported by a Winkler elastic foundation / Nobili, Andrea; Radi, Enrico; Lanzoni, Luca. - ELETTRONICO. - (2016), pp. 86-86. ((Intervento presentato al convegno The 14th International Conference on Integral Methods in Science and Engineering tenutosi a Padova nel 25 - 29 July 2016.

Steady state propagation of a rectilinear crack in a thin elastic plate supported by a Winkler elastic foundation

NOBILI, Andrea;RADI, Enrico;LANZONI, Luca
2016

Abstract

We consider steady state propagation of a rectilinear crack in a infinite thin elastic Kirchhoff plate bilaterally supported by an elastic Winkler foundation. The crack flanks are subjected to a continuous (between the flanks) harmonic load. The problem's governing equation features the biharmonic operator together with a curvature (along the crack) term. Through application of the Fourier transforms to the even/odd part of the problem, a pair of inhomogenenous uncoupled Weiner-Hopf equations is met. Solution is obtained through numeric factorization of the kernel function. The full-field solution is given, together with conditions on the energy radiation. The special case of stationary crack is also retrieved.
The 14th International Conference on Integral Methods in Science and Engineering
Padova
25 - 29 July 2016
86
86
Nobili, Andrea; Radi, Enrico; Lanzoni, Luca
Steady state propagation of a rectilinear crack in a thin elastic plate supported by a Winkler elastic foundation / Nobili, Andrea; Radi, Enrico; Lanzoni, Luca. - ELETTRONICO. - (2016), pp. 86-86. ((Intervento presentato al convegno The 14th International Conference on Integral Methods in Science and Engineering tenutosi a Padova nel 25 - 29 July 2016.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/1104086
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