Laminate Composites > Laminates theory > First order shear deformation theory

Shell stress resultants

In plate theory, one typically works with stress resultants which are related to the stress components previously defined.

Force stress resultants are shown in the figure below

They correspond to forces per unit length and are defined by the following equations

Moment stress resultants are shown below.

They correspond to moments per unit length and are defined by the following equations:

Finally, transverse shear resultants are defined by:

and they also correspond to forces per unit length.

Note:

The above conventions may be slightly different depending on the choice of solver. For more information, see Shell stress resultant notations.

First order shear deformation theory

Strain displacement relationship

Constitutive equations

Off-axis relationships

Laminate stiffness matrices

Transverse shear stiffness matrix

Shear deformation theory references

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Shell stress resultants, Simcenter 3D 2021.1 Series

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