determination of stiffness matrix of transversely isotropic material
Dear all, I am an applied mathematician and I have been stucked by the this general question for a while, i.e., to determine the stiffness matrix of transversely isotropic material from known strain and stress tensors. The definition of transversely isotropic tells us that the stiffness matrix can be defined by 5 constants, see attached figure. C44 is easy to determine, so we can focus on the remaining 4 constants. I attempted to establish 4 linear equations for these 4 constants with the known strain and stress components.