MT-1620 Fall 2002 In general mm mm due to Omm applied only mm ( no summation on m) 2. Poisson's Ratios (negative ratios) 1)v12 or vx:(negative of) ratio of E22 to e,1 due to O, 2)v13 or vxz:(negative of) ratio of E33 to e11 due to 3)V23 or Vyz: (negative of) ratio of E33 to E22 due to O22 4)V21 or vox:(negative of) ratio of E, to E22 due to O22 5)V31 or Vzx:(negative of) ratio of E,1 to e33 due to 33 6)V32 or vxy:(negative of) ratio of E22 to E33 due to O33 In general: Vom Emm due to onn applied only (forn≠m Important:vm≠Vm Paul A Lagace @2001 lt 5-p. 4MIT - 16.20 Fall, 2002 In general: Emm = σmm due to σmm applied only εmm (no summation on m) 2. Poisson’s Ratios (negative ratios) 1) ν12 or νxy: (negative of) ratio of ε22 to ε11 due to σ11 2) ν13 or νxz: (negative of) ratio of ε33 to ε11 due to σ11 3) ν23 or νyz: (negative of) ratio of ε33 to ε22 due to σ22 4) ν21 or νyx: (negative of) ratio of ε11 to ε22 due to σ22 5) ν31 or νzx: (negative of) ratio of ε11 to ε33 due to σ33 6) ν32 or νzy: (negative of) ratio of ε22 to ε33 due to σ33 In general: νnm = − εmm due to σnn applied only εnn (for n ≠ m) Important: νnm ≠ νmn Paul A. Lagace © 2001 Unit 5 - p. 4