Linear elasticity: Difference between revisions

Revision as of 06:46, 10 October 2007

Revision as of 01:34, 23 October 2007

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where

<math>\kappa</math> is [[Bulk modulus|incompressibility]], and

<math>\mu</math> is [[Shear modulus|rigidity]], two [[Elasticelastic moduli|modulus of elasticity]]. If the material is homogeneous (i.e. the elasticity tensor is constant throughout the material), the acoustic operator becomes:

:<math>A_{ij}[\nabla]=\alpha^2 \partial_i\partial_j+\beta^2(\partial_m\partial_m\delta_{ij}-\partial_i\partial_j)\,</math>