MT-1620 al.2002 SUMMARY Plane stress Plane strain geometry thickness (y3)<< in-plane length(y3)>> in-plane dimensions (y,, y2) dimensions (y, y2) Loading < oo onl 0/y2=0 3 Resulting 0 i3 Assumptions Primary Variables Secondary 33 Variable(s) Note Eliminate E33 from eq set Eliminate O33 from eq by using O33 =0O-Eeq Set by using o30-ε and expressing E33 in eq and expressing O33 terms of e in terms of e Paul A Lagace @2001 Unit 6-p. 14MIT - 16.20 Fall, 2002 SUMMARY Plane Stress Plane Strain Eliminate σ33 from eq. Set by using σ33 σ - ε eq. and expressing σ33 in terms of εαβ Eliminate ε33 from eq. set by using σ33 = 0 σ - ε eq. and expressing ε33 in terms of εαβ Note: ε33, σ33 Secondary u3 Variable(s): εαβ, σαβ, uα εαβ, σαβ Primary , uα Variables: εi3 Resulting σi3 = 0 = 0 Assumptions: σαβ only ∂/∂y3 = 0 σ33 Loading: << σαβ length (y3) >> in-plane dimensions (y1, y2) thickness (y3) << in-plane dimensions (y1, y2) Geometry: Paul A. Lagace © 2001 Unit 6 - p. 14