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Show that for incompressible plane stress problem the constitutive equation for linearly elastic isotropic material can be written as where µ is the shear modulus u is the displacement vector and in

Show that for incompressible plane stress problem the constitutive equation for linearly elastic, isotropic material can be written as where µ is the shear modulus, u is the displacement vector and indices a, ß and ? range from 1 to 2 (Einstein's summation rule applies). Hint: For incompressible linearly elastic materials one can write the Hooke's law as Tij = ?(tre)d, t 2µe -poi, where p is an arbitrary constant pressure.

 

Jun 25 2020 View more View Less

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