In linear elasticity, the Lamé parameters or Lamé constants are the two parameters
- λ, also called Lamé's first parameter 
- μ, the shear modulus or Lamé's second parameter (also referred to as G)
The two parameters together constitute a parameterization of the elastic moduli for homogeneous isotropic media, popular in mathematical literature, and are thus related to the other elastic moduli; for instance, the bulk modulus can be expressed as .
Although the shear modulus, μ, must be positive, the Lamé's first parameter, λ, can be negative, in principle; however, for most materials it is also positive.
The parameters are named after Gabriel Lamé.
- Lame's first parameter (for two-dimensional solids), FXSolver.com
- Lame's first parameter (for three-dimensions), FXSolver.com
- K. Feng, Z.-C. Shi, Mathematical Theory of Elastic Structures, Springer New York, ISBN 0-387-51326-4, (1981)
- G. Mavko, T. Mukerji, J. Dvorkin, The Rock Physics Handbook, Cambridge University Press (paperback), ISBN 0-521-54344-4, (2003)
- W.S. Slaughter, The Linearized Theory of Elasticity, Birkhäuser, ISBN 0-8176-4117-3, (2002)
|Homogeneous isotropic linear elastic materials have their elastic properties uniquely determined by any two moduli among these; thus, given any two, any other of the elastic moduli can be calculated according to these formulas.|
There are two valid solutions.
|Cannot be used when|
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