The formula to calculate the Lame Constant (λ) is:
\[ \lambda = \frac{E \cdot \nu}{(1 + \nu) \cdot (1 - 2 \nu)} \]
Where:
The Lame Constant (λ) is one of the two parameters in the Lame parameters, which are used to describe the mechanical properties of isotropic materials. The other parameter is the shear modulus (μ). These constants are named after the French mathematician Gabriel Lamé. The Lame Constant is particularly useful in the field of elasticity, where it helps in formulating the stress-strain relationships in materials. It is used in various engineering applications, including structural analysis and material science.
Let's assume the following values:
Using the formula to calculate the Lame Constant (λ):
\[ \lambda = \frac{200 \times 0.3}{(1 + 0.3) \times (1 - 2 \times 0.3)} = \frac{60}{1.3 \times 0.4} \approx 115.3846 \, \text{GPa} \]
The Lame Constant (λ) is approximately 115.3846 GPa.