Currently I'm trying to conduct a calculation of linear elasticity on an orthotropic material. I have three moduli of elasticity on three different directions of the material as follows:
- E_xx for the x-direction,
- E_yy for the y-direction, and
- E_zz for the z-direction.
- G_yz for the yz shear,
- G_xz for the xz shear, and
- G_xy for the xy shear.
Code: Select all
[ C_11 C_21 C_31 C_41 C_51 C_61 ] [ 1/E_xx -v_yx/E_yy -v_zx/E_zz 0 0 0 ]
[ C_12 C_22 C_32 C_42 C_52 C_62 ] [ -v_xy/E_xx 1/E_yy -v_zy/E_zz 0 0 0 ]
[ C_13 C_23 C_33 C_43 C_53 C_63 ] [ -v_xz/E_xx -v_yz/E_yy 1/E_zz 0 0 0 ]
[ C_14 C_24 C_34 C_44 C_54 C_64 ] = [ 0 0 0 1/G_yz 0 0 ]
[ C_15 C_25 C_35 C_45 C_55 C_65 ] [ 0 0 0 0 1/G_xz 0 ]
[ C_16 C_26 C_36 C_46 C_56 C_66 ] [ 0 0 0 0 0 1/G_xy ]
I've searched and researched previous questions regarding orthotropic materials posed in this forum. I've found some that advises to put the modulus elasticity as a matrix, but I don't see how I can do that with my case because not only I have three moduli of elasticity, I also have six poisson ratios and three shear moduli. The closest to my case is perhaps this one, but again the OP only uses one poisson ratio instead of six, so perhaps it's not a compliance matrix that's being used there.
Thus, does anybody have any experience in calculating the linear elasticity on orthotropic material like mine using Elmer? Could someone help me please?
Thank you.