a. Express the below components of the strain fields as function of x, y, z. Simplify...

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a. Express the below components of the strain fields as function of x, y, z. Simplify as much as possible. Exx = Eyy Exy = = 1/ + 2 1. Consider the below Lx x Ly plate with a thickness of Lz. The plate is made of an isotropic linear elastic material that has Young's modulus of E = 5 GPa and a Poisson's ratio of v = . VC Ly VB B VA x D A Lx UA Deformation of this plate results in the below displacement field (feel free to cross-out nil terms). y y (A)(1 ) + ( ) ( ) + uc (1-2) (2/2) + up (1-2) (1-2) u(x, y, z) = u() 1- Ly y UB Lx (A)(1 Z ) + " () () + (1) (2) + (1 ) (1-2) v(x, y, z) = VA 1- VB vc w(x, y, z) = 0 For this particular deformation, the displacements of the four corners are listed below. U = uc = UD = 0 & up 0 VA = VC = VD = 0 & VB 0 a. Express the below components of the strain fields as function of x, y, z. Simplify as much as possible. Exx = Eyy Exy = = 1/ + 2 1. Consider the below Lx x Ly plate with a thickness of Lz. The plate is made of an isotropic linear elastic material that has Young's modulus of E = 5 GPa and a Poisson's ratio of v = . VC Ly VB B VA x D A Lx UA Deformation of this plate results in the below displacement field (feel free to cross-out nil terms). y y (A)(1 ) + ( ) ( ) + uc (1-2) (2/2) + up (1-2) (1-2) u(x, y, z) = u() 1- Ly y UB Lx (A)(1 Z ) + " () () + (1) (2) + (1 ) (1-2) v(x, y, z) = VA 1- VB vc w(x, y, z) = 0 For this particular deformation, the displacements of the four corners are listed below. U = uc = UD = 0 & up 0 VA = VC = VD = 0 & VB 0