论文标题
壳摩擦在弹性基础上耦合，并与两体库仑的静态摩擦定律进行比较
A Shell Frictionally Coupled to an Elastic Foundation and a Comparison Against the Two-Body Coulomb's Law of Static Friction
论文作者
论文摘要
在本文中，我们得出了一个在摩擦耦合到弹性基础的外壳的模型。我们将kikuchi和奥登的模型用于库仑的静态摩擦定律，从而在弹性基础模型上为贝壳提供基于位移的静态摩擦定律，我们证明了借助Kinderlehrer和Stampacchia的工作，证明了解决方案的存在和独特性。为了进行数值分析，我们修改了Kikuchi和Oden的库仑静态摩擦定律，以建模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，并且接触区具有较高的摩擦系数或具有较高的曲率半径，则两种模型预测的基础位移场的位移场是更好一致的。据我们所知，这是基于位移的摩擦定律和文献中摩擦的两体3D弹性接触问题的第一个推导。
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.
