论文标题
弹性波问题中转化的弹性张量的对称公式
A symmetric formula of transformed elasticity tensor in PML domain for elastic wave problem
论文作者
论文摘要
完美匹配的层对于频域中的弹性波问题非常重要。通常，完美匹配的层中弹性张量的公式来自转化的动量方程。在本说明中，我们证明了以这种方式得出的转换弹性张量失去了对称性。因此，这些公式在理论上是不一致的，很难解释其数值性能。我们提出了来自弱形式的弹性张量的新的对称公式。因此，弹性理论仍然适用于完美匹配的层。
The perfectly matched layer is very important for the elastic wave problem in the frequency domain. Generally, the formulas of the elasticity tensor in the perfectly matched layers are derived from the transformed momentum equation. In this note, we proved that the transformed elasticity tensor derived in this way lost its symmetry. Therefore, these formulas are inconsistency in theory and it's hard to explain its numerical performance. We present a new symmetrical formula of elasticity tensor from the weak form. So the theory of elasticity is still applicable in the perfectly matched layers.
