Laminate Composites > Laminates theory > First order shear deformation theory
Off-axis relationships
The in-plane strains in the 12 coordinate system are related to the same quantities expressed in the XY coordinate system.
The transverse strains in the 12 coordinate system are related to the same quantities expressed in the XY coordinate system.
This relationship also allows the transformation of the transverse shear stresses.
The inverse of this relationship is written
The in-plane stresses in the 12 coordinate system are related to the same quantities expressed in the XY coordinate system.
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First order shear deformation theory
Strain displacement relationship
Constitutive equations
Shell stress resultants
Laminate stiffness matrices
Transverse shear stiffness matrix
Shear deformation theory references
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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/id626786 · retrieved 2026-07-17