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arXiv · 2408.13625

Stable determination of the Winkler subgrade coefficient in a nanoplate

G. Alessandrini·A. Morassi·E. Rosset·E. Sincich·S. Vessella
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Abstract

We study the inverse problem of determining the Winkler coefficient in a nanoplate resting on an elastic foundation and clamped at the boundary. The nanoplate is described within a simplified strain gradient elasticity theory for isotropic materials, under the Kirchhoff-Love kinematic assumptions in infinitesimal deformation. We prove a global H\"older stability estimate of the subgrade coefficient by performing a single interior measurement of the transverse deflection of the nanoplate induced by a load concentrated at one point.

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G. Alessandrini, A. Morassi, E. Rosset, E. Sincich, S. Vessella. 2024-08-24. Stable determination of the Winkler subgrade coefficient in a nanoplate. https://arxiv.org/abs/2408.13625

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