5.3 Linear Isotropic Solid

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A material is isotropic if its mechanical properties are independent of direction


Isotropy means

Note that the isotropy of a tensor is equivalent to the isotropy of a material defined by the tensor.

Most general from of (Fourth order) is a function

Thus for isotropic material

For 

 are called Lame's constants.    is also the shear modulus of the material (sometimes designated as G).

 

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11/06/01 0:21:50