论文标题
在周期性域中的罗宾型牵引问题的积分方程方法
Integral equation method for a Robin-type traction problem in a periodic domain
论文作者
论文摘要
在本说明中，我们考虑了一个线性弹性物体的罗宾型牵引问题，该物体占据了无限的定期穿孔域。在证明解决方案的唯一性之后，我们使用周期性的弹性层电势表明该解决方案可以写入单层电位的总和，恒定函数和空间变量的线性函数。周期单层电位和常数的密度被识别为特定积分方程的唯一解。
In this note, we consider a Robin-type traction problem for a linearly elastic body occupying an infinite periodically perforated domain. After proving the uniqueness of the solution we use periodic elastic layer potentials to show that the solution can be written as the sum of a single layer potential, a constant function and a linear function of the space variable. The density of the periodic single layer potential and the constant are identified as the unique solutions of a certain integral equation.
