纳米板中Winkler基床系数的稳定确定
Stable determination of the Winkler subgrade coefficient in a nanoplate
AI总结：
本文研究了边界固定的弹性基础纳米板中Winkler系数的反问题，基于简化应变梯度弹性理论，通过单次内部挠度测量证明了基床系数的全局Hölder稳定性估计。
摘要：
我们研究确定支撑在弹性基础上且边界固定的纳米板中Winkler系数的反问题。该纳米板在各向同性材料的简化应变梯度弹性理论下描述，遵循微小变形中的Kirchhoff-Love运动学假设。我们通过对由集中于一点的载荷引起的纳米板横向挠度进行单次内部测量，证明了基床系数的全局Hölder稳定性估计。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
