Laminates of Orthotropic plies
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Laminates of Orthotropic plies • Section 2.4.3 for in-plane loading only • Hooke’s law for k-th ply • Stress resultants 0 11 12 16 0 12 22 26 0 16 26 66 () x x y y xy xy k Q Q Q Q Q Q Q Q Q /2 1 1 /2 () x x x h N y y y k k k h xy xy xy k N N dz z z N
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Laminates of Orthotropic plies. Section 2.4.3 for in-plane loading only Hooke’s law for k- th ply Stress resultants. A Matrix. Basic equation is the same as in isotropic case, , but 16 and 26 terms We now use the Tsai-Pagano “invariants” Leading to lamination parameters. - PowerPoint PPT Presentation
Transcript of Laminates of Orthotropic plies
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Laminates of Orthotropic pliesSection 2.4.3 for in-plane loading onlyHookes law for k-th ply
Stress resultants
A Matrix
Effective propertiesFrom Qs to As using lamination parameters
Effective properties
Hookes law with effective propertiesAverage stresses
Hookes law
Typical stiffness optimization problemNo stresses in individual plies, so no credible failure constraint.
When 0-deg, 90-deg and 45-deg plies are present this is reasonable even for strength.
Example 4.1.1
Sanity checks for first two laminates
