Calculates Lamé's first parameter (\(\lambda\)) from two of the four other elastic moduli: bulk modulus (K), Young's modulus (E), shear modulus (G), or Poisson's ratio (\(\nu\)). Assumes 3D material properties.
The relationships used are: $$\lambda = K - \frac{2G}{3}$$ $$\lambda = \frac{E\nu}{(1 + \nu)(1 - 2\nu)}$$ $$\lambda = \frac{2G\nu}{1 - 2\nu}$$ $$\lambda = \frac{3K\nu}{1 + \nu}$$ $$\lambda = \frac{3K(3K - E)}{9K - E}$$ $$\lambda = \frac{G(E - 2G)}{3G - E}$$