C_ijkl = np.array([[A11, A12, A13, 0, 0, 0],
[A12, A22, A23, 0, 0, 0],
[A13, A23, A33, 0, 0, 0],
[0, 0, 0, A44, 0, 0],
[0, 0, 0, 0, A55, 0],
[0, 0, 0, 0, 0, A66]])
# Define the lattice constant of the BCC plate lattice structure
a = 30 # actual lattice constant which is the length of latice cell
# Define the transformation matrix S_ik
S_ik = np.linalg.inv(np.array([[a/2, 0, a/2],
[a/2, a/2, 0],
[0, a/2, a/2]])) @ np.array([[1, 0, 0],
[0, 1, 0],
[0, 0, 1]]) @ np.array(
[[a/2, 0, a/2],
[a/2, a/2, 0],
[0, a/2, a/2]])
# Define the transpose of the transformation matrix S_jl
S_jl = np.array([[a/2, a/2, 0],
[0, a/2, a/2],
[a/2, 0, a/2]])
# Perform the transformation of the orthotropic material stiffness matrix to the BCC plate lattice structure stiffness matrix
C_abcde = np.einsum('ai,bj,ck,dl,ijkl,em,fn,go,hp->abcde', S_ik, S_ik, S_ik, S_ik, C_ijkl, S_jl, S_jl, S_jl, S_jl)
# Print the transformed stiffness matrix
print(C_abcde)
And I get this: ValueError: einstein sum subscripts string contains too many subscripts for operand 4 Which I think is for the line C_abcde. But I'm not sure can anyone help me with this?