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Anisotropic and Refined Plate Theories


Anisotropic bending problems; Anisotropic out-of-plane problems; Heterogeneous plate theories; Higher-order theories; Laminate theories; Lamination theories; Shear deformation theories



A solid is called heterogeneous if the material properties differ in different points of the solid, e.g., if the solid consists of different materials. If the material properties do not depend on the location in the solid it is called homogeneous.


A material is called anisotropic, if the material properties are direction dependent, i.e., if two probes cut out of the solid with different orientations will react with different mechanical responses to the same load; otherwise, the material is called isotropic.

Anisotropic Materials in Practice

It is possible to manufacture solids (even with macroscopic dimensions) which are single crystals. These monocrystalline solids can be treated as a homogeneous continuum and have a natural anisotropy which stems from...


  • Refined Plate Theory
  • Monoclinic Plates
  • Monoclinic Material
  • Compliance Matrix
  • Simple Shear Stress

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Correspondence to Patrick Schneider .

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Schneider, P. (2018). Anisotropic and Refined Plate Theories. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg.

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