各向同性材料常数：
- 拉梅常数：\(\lambda~\)、\(\mu\)
- 体积模量：\(K\)
- 杨氏模量：\(E\)
- 泊松比：\(\nu\)
变换关系：
摘自《固体力学原理》88页
| 常数 | \(\lambda , \mu\) | \(E , \nu\) | \(\mu , K\) | \(\mu , \nu\) |
|---|---|---|---|---|
| \(\lambda\) | \(\lambda\) | \(\displaystyle\frac{E\nu}{(1+\nu)(1-2\nu)}\) | \(\displaystyle\frac{3K-2\mu}{3}\) | \(\displaystyle\frac{2\mu\nu}{1-2\nu}\) |
| \(\mu\) | \(\mu\) | \(\displaystyle\frac{E}{2(1+\nu)}\) | \(\mu\) | \(\nu\) |
| \(K\) | \(\lambda+\displaystyle\frac{2}{3} \mu\) | \(\displaystyle\frac{E}{3(1-2\nu)}\) | \(K\) | \(\displaystyle\frac{2\mu(1+\nu)}{3(1-2\nu)}\) |
| \(E\) | \(\displaystyle\frac{\mu(3\lambda+2\mu)}{\lambda+\mu}\) | \(E\) | \(\displaystyle\frac{9K\mu}{3K+\mu}\) | \(2\mu(1+\nu)\) |
| \(\nu\) | \(\displaystyle\frac{\lambda}{2(\lambda+\mu)}\) | \(\nu\) | \(\displaystyle\frac{3K-2\mu}{2(3K+\mu)}\) | \(\nu\) |