eps11 = NU*sig11 NU*sig22 sig11 sig22 NU*sig33 NU*sig11 NU*sig12 NU*sig22 sig11 sig12 -------- - -------- + ------- - ------- - -------- - -------- + -------- - -------- + ------ - ------ 2*B12*E 2*B12*E 2*B12*E 2*B12*E A3*E 4*A2*E 2*A2*E 4*A2*E 4*A2*E 2*A2*E sig22 NU*sig11 NU*sig12 NU*sig22 sig11 sig12 sig22 + ------ - -------- - -------- - -------- + ------ + ------ + ------ 4*A2*E 4*A1*E 2*A1*E 4*A1*E 4*A1*E 2*A1*E 4*A1*E eps22 = NU*sig11 NU*sig22 sig11 sig22 NU*sig33 NU*sig11 NU*sig12 NU*sig22 sig11 sig12 - -------- + -------- - ------- + ------- - -------- - -------- + -------- - -------- + ------ - ------ 2*B12*E 2*B12*E 2*B12*E 2*B12*E A3*E 4*A2*E 2*A2*E 4*A2*E 4*A2*E 2*A2*E sig22 NU*sig11 NU*sig12 NU*sig22 sig11 sig12 sig22 + ------ - -------- - -------- - -------- + ------ + ------ + ------ 4*A2*E 4*A1*E 2*A1*E 4*A1*E 4*A1*E 2*A1*E 4*A1*E eps33 = sig33 NU*sig11 NU*sig12 NU*sig22 NU*sig11 NU*sig12 NU*sig22 ----- - -------- + -------- - -------- - -------- - -------- - -------- A3*E 2*A2*E A2*E 2*A2*E 2*A1*E A1*E 2*A1*E eps12 = -A1*sig11 + 2*A1*sig12 - A1*sig22 + A2*sig11 + 2*A2*sig12 + A2*sig22 -------------------------------------------------------------------- 8*A1*A2*G eps13 = sig13 ------------- G*(B13 + B23) eps23 = sig23 ------------- G*(B13 + B23) sig11 = A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N - ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 - ------ 2 4 4 -------------------------------------------------------------------------------------------------- U*eps33 A2*E*eps11 A2*E*eps22 2 ------- - ---------- - ---------- - 2*A2*G*NU *eps12 - A2*G*NU*eps12 + A2*G*eps12 + B12*E*NU*eps11 2 4 4 -------------------------------------------------------------------------------------------------- 2 2*NU + NU - 1 B12*E*eps11 B12*E*eps22 - B12*E*NU*eps22 - ----------- + ----------- 2 2 --------------------------------------------- sig22 = A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N - ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 - ------ 2 4 4 -------------------------------------------------------------------------------------------------- U*eps33 A2*E*eps11 A2*E*eps22 2 ------- - ---------- - ---------- - 2*A2*G*NU *eps12 - A2*G*NU*eps12 + A2*G*eps12 - B12*E*NU*eps11 2 4 4 -------------------------------------------------------------------------------------------------- 2 2*NU + NU - 1 B12*E*eps11 B12*E*eps22 + B12*E*NU*eps22 + ----------- - ----------- 2 2 --------------------------------------------- sig33 = -A3*E*(NU*eps11 + NU*eps22 - NU*eps33 + eps33) ----------------------------------------------- 2 2*NU + NU - 1 sig12 = A1*E*NU*eps33 A1*E*eps11 A1*E*eps22 2 A2*E*N - ------------- - ---------- - ---------- + 2*A1*G*NU *eps12 + A1*G*NU*eps12 - A1*G*eps12 + ------ 2 4 4 -------------------------------------------------------------------------------------------------- 2 2*NU + NU - 1 U*eps33 A2*E*eps11 A2*E*eps22 2 ------- + ---------- + ---------- + 2*A2*G*NU *eps12 + A2*G*NU*eps12 - A2*G*eps12 2 4 4 --------------------------------------------------------------------------------- sig13 = G*eps13*(B13 + B23) sig23 = G*eps23*(B13 + B23)