Given: I showed in the course notes that the most general fourth order viscosity tensor for an isotropic material is given by %3D where A and pu are the first and second viscosity, respectively. We also defined C, = V, and C, =V2 Required: a) Derive relations for obtaining A and u in terms of C, and C2. b) Use the results in part a) to describe the Navier-Poisson Law in terms of C, and C.
Given: I showed in the course notes that the most general fourth order viscosity tensor for an isotropic material is given by %3D where A and pu are the first and second viscosity, respectively. We also defined C, = V, and C, =V2 Required: a) Derive relations for obtaining A and u in terms of C, and C2. b) Use the results in part a) to describe the Navier-Poisson Law in terms of C, and C.
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Transcribed Image Text:Given: I showed in the course notes that the most general fourth order viscosity tensor for an
isotropic material is given by
Vat = 18,8, + µ(8,8,+8,8,)
%3D
where A and u are the first and second viscosity, respectively. We also defined C, = V and
1111
C=V2
Required:
a) Derive relations for obtaining A and uin terms of C, and C2.
b) Use the results in part a) to describe the Navier-Poisson Law in terms of C, and C2
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