Compute the strains x y gammaxy at the interface between

Question

Using the results for the intact laminate in given Exercise, compute:

(a) the strains ?x, ?y, γxy at the interface between laminae,

(b) the stresses σ_x, σ_y, τ_xy on all laminae, right next to the interface,

(c) the strains ?₁, ?₂, γ₆ by using the transformation equations,

(d) the stresses in material coordinates σ₁, σ₂, σ₆.

Exercise

Consider a [0/45/-45]S laminate, subject to a load N_x = N_y = 1000 N/mm. Compute the [A], and [D] matrices (neglect shear deformations) for the intact laminate. Each lamina is 2.5 mm thick. Do not adjust for in-situ strength. The material properties are:

E₁=  204.6 GPa
E₂ = 20.46 GPa
G₁₂ = 6.89 MPa
v₁₂ = 0.3
F_1t = 826.8 MPa
F_1c = 482.3 MPa
F_2t = F2c =  68.9 MPa
F₆ = 241.15 MPa