Out-of-plane shear of laminate

One version of the out-of-plane shear theory for laminates, based on information found in Chapter 13 of [Sof04a], is presented here. However, a more general version of the calculation is given, which takes the

x y

and

y z

components of the out-of-plane shear stress into account simultaneously.

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