lamékoefficienten

The lamékoefficienten, often referred to as the second Lamé parameter or $\lambda$, is a material property used in continuum mechanics to describe the elastic behavior of isotropic homogeneous materials. It is one of two Lamé parameters, the other being the shear modulus, often denoted by $\mu$ or $G$.

The Lamé parameters are fundamental in relating stress and strain in linear elastic materials through Hooke's generalized law. Specifically, the lamékoefficienten appears in the equations that describe the relationship between normal stress and normal strain in such materials. It quantifies how a material deforms under hydrostatic pressure. A higher value of $\lambda$ indicates that a material is stiffer and resists compression more strongly.

The lamékoefficienten can be expressed in terms of other elastic moduli, such as Young's modulus ($E$) and Poisson's ratio ($\nu$). The relationship is given by $\lambda = \frac{E\nu}{(1+\nu)(1-2\nu)}$. It is also related to the bulk modulus ($K$), which represents resistance to volume change, by the equation $K = \lambda + \frac{2}{3}\mu$. The lamékoefficienten is a crucial parameter in various fields of engineering and physics, including solid mechanics, geophysics, and materials science, for analyzing the response of materials to applied forces and deformations.