2024/08/24 by Giovanni Alessandrini, Alessandrini, G., Antonino Morassi +7 · 1 citation
Materials Science · Engineering · #Nonlocal and gradient elasticity in micro/nano structures #Thermoelastic and Magnetoelastic Phenomena #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.2408.13625
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 Hölder 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.