Consider a (small) strain field epsilon:(x), for a body Ohm = [0, 5] times [0, 5] times [0, 5], whose components are given by epsilon_ij = [3x_2 x_2 x_2 + x_3 (x_3)^3 x_2 + X_3 x_1 s_1 + x_3 (x_3)^3 x_1 + x_3 cos(x_1) x 10^-6 Find the principal strains and directions at x_1 -(2, 0, 1). What is the normal strain in the direction n_i = (1, 1, 1) at the point x_i = (2, 2, 0)? What is the change in angle between v_i = (2, 1, 1) and v_i^(2) = (1, 1, 3) at the point x_i = (0, 1, 1)? What is the volumetric strain at x_i = (1, 0, 0)
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