发表机构
School of Science and Engineering, The Chinese University of Hong Kong (Shenzhen)（香港中文大学（深圳）理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文改进了一个稠密性性质，用于证明线性弹性椭圆膜壳在给定半空间内受约束时Koiter模型的合理性，该技术可推广至其他障碍问题。
AI 中文摘要
在这篇短文中，我们改进了“稠密性性质”，该性质曾被用于建立线性弹性椭圆膜壳在受限于给定半空间时的Koiter模型的合理性证明。此技术有望适用于其他类型的障碍问题。
英文摘要
We establish a density property for the obstacle problem of a linearly elastic elliptic membrane shell required to remain confined in a prescribed half-space. For a bounded Lipschitz reference domain, and under the sole assumption that the reference configuration lies at a strictly positive distance from the confining plane, we prove that smooth admissible displacements for which the confinement constraint is inactive (satisfied with a strictly positive margin) are dense in the set of all admissible displacements. This removes the additional condition on the unit normal to the mid-surface required in previous work, and the approximation scheme is elementary and adaptable to other unilateral obstacle problems.
CommentsThe work was improved to the more general case where the boundary is Lipschitz
