arXiv:2408.13625 Abstract | arXiv Analytics

arXiv:2408.13625 [math.AP]Abstract References Reviews Resources

Stable determination of the Winkler subgrade coefficient in a nanoplate

G. Alessandrini, A. Morassi, E. Rosset, E. Sincich, S. Vessella

Published 2024-08-24Version 1

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.

Comments: 24 pages. arXiv admin note: text overlap with arXiv:1502.04842

Categories: math.AP

Subjects: 35R30, 35J25, 86A22

Keywords: winkler subgrade coefficient, stable determination, simplified strain gradient elasticity theory, single interior measurement, kirchhoff-love kinematic assumptions

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