Stable determination of the Winkler subgrade coefficient in a nanoplate

Autor:	Alessandrini, G., Morassi, A., Rosset, E., Sincich, E., Vessella, S.
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35R30 (Primary) 35J25 - 86A22 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 24 pages. arXiv admin note: text overlap with arXiv:1502.04842
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.13625 Zobrazit plný text záznamu View this record from Arxiv