MSR/ressources/Zig-Zag Theories.md
WanderingPenwing fe9035fd18 initial commit
2024-09-20 17:41:55 +02:00

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first-order zig-zag theory (FZZT), ref

allowing for discontinuities in displacement between layers.  captures the "zig-zag" pattern of displacements through the thickness that occurs due to different layer stiffness.   The first-order zig-zag theory introduces additional terms to the displacement field assumptions used in classical laminate theory:

  1. It adds a zig-zag function that allows for slope discontinuities at layer interfaces.
  2. It maintains continuity of transverse stresses between layers.
  3. It satisfies the traction-free boundary conditions on the top and bottom surfaces.