Anelastic Waves in Thin Plates

  • Henryk Zorski
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


In investigating small displacements and the resulting state of stress in thin plates or shells obeying a linear stress-strain law, the three-dimensional problem is reduced to a two-dimensional one by means of a hypothesis concerning the distribution of the relevant geometric and mechanical quantities along the thickness of the shell or plate. The simplest hypothesis in bending is the Kirchhoff hypothesis, while for the motion “in the xy plane” it is usually assumed that a plane state of stress prevails. However, in the case of high frequencies and short wave lengths, particularly in the case of anelastic materials the equations of which contain higher time derivatives, the above assumptions are incorrect and it is necessary to establish a system of equations taking into account additional phenomena, such as rotary inertia, shear displacement, etc. This is done by changing the hypothesis or employing a method of successive approximations.


Thin Plate Stress Wave Shear Displacement Operational Calculus Short Wave Length 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Verlag, Berlin / Göttingen / Heidelberg 1964

Authors and Affiliations

  • Henryk Zorski
    • 1
  1. 1.Polish Academy of SciencesWarsawPoland

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