Lamé parameters

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In linear elasticity, the Lamé parameters are the two parameters

  • λ, also called Lamé's first parameter.
  • μ, the shear modulus or Lamé's second parameter.

which in homogenous, isotropic materials satisfy the equation

σ = 2με + λtr(ε)I

where σ is the stress and ε the strain tensor. I is the identity matrix.

The parameters are related to Young's modulus, bulk modulus, shear modulus and Poisson's ratio, and are named after Gabriel Lamé.

[edit] References

  • F. Kang, S. Zhong-Ci, 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 2003 (paperback). ISBN 0-521-54344-4
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