Abstract Thin elastomer layers bonded on a rigid substrate can be found in diverse engineering applications, in which the elastomers are often in stressed state. Previous studies have shown abundant evidence that the prestresses in an elastomer layer can greatly influence its mechanical behaviors. In this article, we have analytically derived the surface Green's function of a stressed elastomer layer with finite thickness and bonded on a rigid substrate, which enables us and others to compute surface deformation of the elastomer layer subjected to any arbitrary surface force. By using the derived surface Green's function, we further study the indentation of a prestressed elastomer layer, as well as the deposition of a liquid droplet and adhesion of a cell on a prestressed elastomer layer. The effects of prestresses and finite thickness of the elastomer layer on those problems have been uncovered.

中文翻译：

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粘合在刚性基材上的拉伸弹性体层的表面力学

摘要 结合在刚性基材上的薄弹性体层可以在各种工程应用中找到，其中弹性体通常处于受压状态。先前的研究表明，大量证据表明弹性体层中的预应力可以极大地影响其力学行为。在本文中，我们通过分析推导出具有有限厚度并粘合在刚性基板上的受力弹性体层的表面格林函数，这使我们和其他人能够计算弹性体层在任意表面力下的表面变形。通过使用导出的表面格林函数，我们进一步研究了预应力弹性体层的压痕，以及液滴的沉积和细胞在预应力弹性体层上的粘附。