Constitutive equations

The equations are written in the 12 (ply) coordinate system, in which the ply material properties are defined. In this local coordinate system, the stress-strain relationship can be written:

where:

• E1 is Young’s modulus in 1-direction

• E2 is Young’s modulus in 2-direction,

• G12 is the shear modulus in the 12 plane,

• ν12 is the major Poisson’s ratio,

• ν21 is the minor Poisson’s ratio,

Transverse stresses can be related to transverse strains with the following equation:

where G13 and G23 correspond to the transverse shear moduli.

Look up more details

First order shear deformation theory

Strain displacement relationship

Off-axis relationships

Shell stress resultants

Laminate stiffness matrices

Transverse shear stiffness matrix

Shear deformation theory references

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