Consider the following Helmholtz free-energy for an anisotropic material: v = c(1 3) + 2 (J...

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Consider the following Helmholtz free-energy for an anisotropic material: v = c(1 3) + 2 (J 1 2 ln(J)) + 3 (14 1), - (4) where C1, C2, and C3 are material parameters, I = trace (C), J = det(F), and I = N CN, with N being the direction of anisotropy. Copute the first Piola-Kirchhoff stress tensor P. You can write your answer using either the indicial notation (i.e., by writing the component Pi) or the tensor notation (i.e., by directly writing P). Consider the following Helmholtz free-energy for an anisotropic material: v = c(1 3) + 2 (J 1 2 ln(J)) + 3 (14 1), - (4) where C1, C2, and C3 are material parameters, I = trace (C), J = det(F), and I = N CN, with N being the direction of anisotropy. Copute the first Piola-Kirchhoff stress tensor P. You can write your answer using either the indicial notation (i.e., by writing the component Pi) or the tensor notation (i.e., by directly writing P).