Plate theory

The plate theory describes the properties of disks in engineering mechanics. To make the calculations manageable, it uses some simplifications and specifies under which conditions it is valid. Thus, the plate theory provides an approximate method to facilitate the calculation; they may be used if it can be assumed:

  • The plate is a flat surface structure.
  • The plate thickness is small compared to the other geometric dimensions.
  • The amount of deformation of the plate both bending and inclination is small compared to the plate thickness.
  • Straight line segments, which were originally orthogonal to the middle surface may also be accepted in the deformed state as straight and perpendicular to the deformed middle surface ( normal hypothesis Kirchhoff-Love hypothesis, see Bernoulli beam ).
  • The normal stress normal to the center area may be neglected.
  • Plates are solely normal to the central plane ( z = 0), takes ( distinction to the disk ).

To plate theory provided include the following scientists Posts:

  • James II Bernoulli
  • Ernst Florens Friedrich Chladni
  • Leonhard Euler
  • Sophie Germain
  • Joseph -Louis Lagrange
  • Claude Louis Marie Henri Navier
  • Siméon Denis Poisson
  • Gustav Robert Kirchhoff
  • John William Strutt, 3rd Baron Rayleigh
  • Augustus Edward Hough Love
  • Theodore von Kármán
  • Stepan Tymoshenko
  • Raymond D. Mindlin
  • Eric Reissner
  • Yakov Solomonovich Uflyand
Claude-Louis Navier
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