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.