MICROMECHANICS & MACROMECHANICS -1-CMS

What is the equation of longitudinal modulus for a unidirectional continuous fiber 0° lamina?

• E₁₁ = E_fv_f + E_mv_m

• E₁₁ = E_fv_m + E_mv_f

• E₁₁ = E_fv_f – E_mv_m

• E₁₁ = E_mv_m – E_fv_f

Identify this fiber lamina and find the equation for the calculation of its transverse modulus from the following.

• E₂₂ = E_fv_f / E_fv_m + E_mv_f

• E₂₂ = E_mv_m / E_fv_m + E_mv_f

• E₂₂ = E_fE_m / E_fv_m + E_mv_f
  

• E₂₂ = E_fv_m / E_fv_m + E_mv_f

The fibers contribute more to the development of the transverse modulus.

• True

• False

What is the equation of Major Poisson’s ratio for a unidirectional discontinuous fiber 0° lamina?

• v₁₂ = v_fv_f – v_mv_m

• v₁₂ = v_fv_m + v_mv_f

• v₁₂ = v_fv_f + v_mv_m

• v₁₂ = v_fv_f / v_mv_m

Which among these is the most difficult to test?

• Longitudinal modulus

• Transverse modulus

• Major Poisson’s ratio

• Shear modulus

What is Poisson’s ratio?

• -(Longitudinal strain/Transverse strain)

• -(Transverse strain/Longitudinal strain)

• (Longitudinal strain/Transverse strain)

• (Transverse strain/Longitudinal strain)

What does the term “Anisotropic material” refers to?

• A material that possess same properties in different directions

• A material that possess different properties along different directions

• A material that possess many axes of symmetry

• A material that possess different properties in same direction

Which of the following is true regarding the anisotropic materials?

• σ_ij & ε_kl are symmetric

• σ_ij & ε_kl are not symmetric

• σ_ij & ε_kl cannot be same at all

• σ_ij & ε_kl do not dependent upon direction

What is the best definition of Engineering Shear Strain (γ_ij)?

• It is the half of the angle of shearing under pure shear stress

• It is half of the angle of shearing under pure shear strain

• It is the total angle of shearing under a state of simple shear

• They don’t have an accompanying rotation

The relation between Engineering Shear Strain (γ₁₂) and the Tensor Shear Strain (ε₁₂) is given by

• 4γ₁₂ = ε₁₂

• γ₁₂ = 4ε₁₂

• 2γ₁₂ = ε₁₂

• γ₁₂ = 2ε₁₂