摩擦耦合到弹性地基上的壳体及与两体库仑静摩擦定律的比较
A Shell Frictionally Coupled to an Elastic Foundation and a Comparison Against the Two-Body Coulomb's Law of Static Friction
AI总结：
本文推导了摩擦耦合到弹性地基上的壳体模型，基于库仑静摩擦定律提出位移型摩擦定律，并证明解的存在唯一性；数值分析显示高模量、高泊松比及高摩擦系数或曲率下两模型位移场更一致，为首次相关推导。
摘要：
在本文中，我们推导了一个摩擦耦合到弹性地基上的壳体模型。我们使用Kikuchi和Oden的库仑静摩擦定律模型，推导出弹性地基模型上壳体的基于位移的静摩擦定律，并借助Kinderlehrer和Stampacchia的工作证明了解的存在性和唯一性。在数值分析方面，我们修改了Kikuchi和Oden的库仑静摩擦定律模型，以模拟曲线坐标中的完整两体接触问题。我们的数值结果表明，如果壳体具有相对较高的杨氏模量或相对较高的泊松比，并且接触区域具有较高的摩擦系数或较高的曲率半径，那么两种模型预测的地基位移场更加一致。据我们所知，这是文献中首次推导出基于位移的摩擦定律以及带摩擦的两体三维弹性接触问题。
英文摘要：
In this article, we derive a model for a shell that is frictionally coupled to an elastic foundation. We use Kikuchi and Oden's model for Coulomb's law of static friction to derive a displacement-based static-friction law for a shell on an elastic foundation model, and we prove the existence and the uniqueness of solutions with the aid of the work of Kinderlehrer and Stampacchia. For numerical analysis, we modify Kikuchi and Oden's model for Coulomb's law of static friction to model a full two-body contact problem in curvilinear coordinates. Our numerical results indicate that if the shell has a relatively high Young's modulus or has a relatively high Poisson's ratio, and the contact region has a high coefficient of friction or has a high radius of curvature, then the displacement field of the foundation predicted by both models are in better agreement. As far as we are aware, this is the first derivation of a displacement-based friction law and a two-body 3D elasticity contact problem with friction in the literature.
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。
