Out-of-plane shear of laminate

One presents one version of the out-of-plane shear theory for laminates based on information found in Chapter 13 of [Sof04a]. Only, one presents here a more general version of the calculation that takes

x y

and

y z

components of the out-of-plane shear stress into account at the same time.

  II.1.6.1 Out-of-plane shear equilibrium equations
  II.1.6.2 Triangular distribution of in-plane stresses
  II.1.6.3 Out-of-plane shear stress partial derivative equations
  II.1.6.4 Integration of out-of-plane shear stress equation
  II.1.6.5 Approximations with out-of-plane shear forces
   II.1.6.5.1 The “

(μ_{x}, μ_{y})

” approach
   II.1.6.5.2 “Uncoupled X-Y” approach
   II.1.6.5.3 “Resolution in shear force axes” approach
   II.1.6.5.4 Comparison of the three approaches
  II.1.6.6 Out-of-plane laminate shear stiffness
   II.1.6.6.1 Limitations of shear stiffness calculation
   II.1.6.6.2 Introduction of new notations
   II.1.6.6.3 Energetic approach
  II.1.6.7 Calculation algorithm for shear stiffness
  II.1.6.8 Ply out-of-plane shear stresses
   II.1.6.8.1 With

(μ_{x}, μ_{y})

approach
II.1.6.8.2 With “resolution in shear force axes” approach

II.1.6 Out-of-plane shear of laminate