论文标题
与流体相互作用的薄弹性结构的不受限制变形
Unrestricted deformations of thin elastic structures interacting with fluids
论文作者
论文摘要
在本文中，我们讨论了光束与流体相互作用时的运动。我们允许光束在所有坐标方向上自由移动。我们考虑位于两种不同流体之间的梁以及光束仅连接到一种流体之间的情况。在这两种情况下，流体域都在改变时间。流体受不可压缩的Navier-Stokes方程的控制。梁是弹性的，并由双曲线偏微分方程控制。为了允许大变形，光束的弹性电势是非二次的，并且自然具有非凸状状态空间。我们得出了弱分析的存在，直到潜在的碰撞点。
In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to move freely in all coordinate directions. We consider the case of a beam situated in between two different fluids as well as the case where the beam is attached only to one fluid. In both cases the fluid-domain is time changing. The fluid is governed by the incompressible Navier-Stokes equations. The beam is elastic and governed by a hyperbolic partial differential equation. In order to allow for large deformations the elastic potential of the beam is non-quadratic and naturally possesses a non-convex state space. We derive the existence of weak-solutions up to the point of a potential collision.
