The solution of this problem is: the boundary conditions are P ea u EA ∈11 EA P Ee A Example: With the exact solution of the problem of the bar under a tensile load, verify the satisfaction of the PVD for the following virtual AE dc= Palo EA Pal= Pal g.e.d AE EA A EPAL Pal g.e.dThe solution of this problem is: u1(x1) = ax1 + b the boundary conditions are: u1(0) = 0 ⇒ b = 0 P = Ea A u1 = P EAx1 �11 = du1 dx1 = P EA σ11 = E�11 = P A Example: With the exact solution of the problem of the bar under a tensile load, verify the satisfaction of the PVD for the following virtual displacement fields: • u¯1 = ax1: � L 0 P adx1 = PaL(?) EA AE PaL = PaL q.e.d. ¯ 1 • u1 = ax : 2 � L 0 P 2ax1dx1 = PaL2 (?) EA AE L2 �A �EP �2a �2 = PaL q.e.d. �E �A Remarks: 4