Shear Deformable Plates

  • Andreas ÖchsnerEmail author
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)


This chapter covers the continuum mechanical description of thick plate members. Thick plates are plates where the contribution of the shear force on the deformations is considered. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, the partial differential equations, which describes the physical problem, is derived.


  1. 1.
    Blaauwendraad J (2010) Plates and FEM: surprises and pitfalls. Springer, DordrechtCrossRefGoogle Scholar
  2. 2.
    Mindlin RD (1951) Influence of rotary inertia and shear on flexural motions isotropic, elastic plates. J Appl Mech-T ASME 18:1031–1036Google Scholar
  3. 3.
    Reddy JN (2006) An introduction to the finite element method. McGraw Hill, SingaporeGoogle Scholar
  4. 4.
    Reissner E (1945) The effect of transverse shear deformation on the bending of elastic plates. J Appl Mech-T ASME 12:A68–A77MathSciNetGoogle Scholar
  5. 5.
    Ventsel E, Krauthammer T (2001) Thin plates and shells: theory, analysis, and applications. Marcel Dekker, New YorkCrossRefGoogle Scholar
  6. 6.
    Wang CM, Reddy JN, Lee KH (2000) Shear deformable beams and plates: relationships with classical solution. Elsevier, OxfordzbMATHGoogle Scholar

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingenGermany

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