Question: If an isotropic solid is heated nonuniformly to a temperature distribution T(x,y,z) and the material has unrestricted thermal expansion, the resulting strains will be e

If an isotropic solid is heated nonuniformly to a temperature distribution T(x,y,z) and the material has unrestricted thermal expansion, the resulting strains will be e_ij = αTδ. Show that this case can only occur if the temperature is a linear function of the coordinates:

T = ax + by+ cz + d

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