# Lamé Constants

(redirected from*Lame constants*)

## Lamé constants

[lä′mā ‚kän·stəns] (mechanics)

Two constants which relate stress to strain in an isotropic, elastic material.

## Lamé Constants

values that relate the components of elastic stress at some point of a solid isotropic deformable body to the components of strain at this point:

σ_{x} = 2με_{xx} + λ(ε_{xx} + ε_{yy} + ε_{zz})

τ = με_{xy}

where *σ* and τ are the normal and tangential components of stress, ε are the components of strain, and the coefficients λ and μ are Lamé constants, named after the French mathematician G. Lamé. The Lamé constants depend on the material and its temperature. They are related to the modulus of elasticity (Young’s modulus) and Poisson’s ratio *v* by

where *E* is the modulus of elasticity and *G* is the shear modulus.