Difference between revisions of "Isotropic Material"

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This material is a small strain, linear elastic material. The stress is related to strain by
This material is a small strain, linear elastic material. The components stress are related to components of strain by


<math>\sigma_{ij} = \bigl(\lambda\epsilon_{ii} - 3K\alpha T\bigr)\delta_{ij} + 2G\epsilon_{ij}</math>
<math>\sigma_{ij} = \bigl(\lambda\varepsilon_{ii} - 3K(\alpha \Delta T+\beta c)\bigr)\delta_{ij} + 2G\varepsilon_{ij}</math>


where &lambda; is the Lame, K is bulk modulus, &alpha; is thermal expansion coefficient, T is temperature difference, and G is shear modulus.
where &lambda; is the Lame, K is bulk modulus, &alpha; is thermal expansion coefficient, &Delta;T is temperature difference, &beta; is solvent expansion coefficient, c is solvent concentration, and G is shear modulus.

Revision as of 12:02, 27 March 2013

This material is a small strain, linear elastic material. The components stress are related to components of strain by

[math]\displaystyle{ \sigma_{ij} = \bigl(\lambda\varepsilon_{ii} - 3K(\alpha \Delta T+\beta c)\bigr)\delta_{ij} + 2G\varepsilon_{ij} }[/math]

where λ is the Lame, K is bulk modulus, α is thermal expansion coefficient, ΔT is temperature difference, β is solvent expansion coefficient, c is solvent concentration, and G is shear modulus.