On Nonlinear Dynamic Theory of Thin Plates with Surface Stresses

Holm Altenbach; Victor Eremeev

doi:10.1007/978-3-030-21251-3_2

On Nonlinear Dynamic Theory of Thin Plates with Surface Stresses

Abstract

We discuss the modelling of dynamics of thin plates considering surface stresses according to Gurtin–Murdoch surface elasticity. Taking into account the surface mass density we derive the two-dimensional (2D) equations of motion. For the reduction of the three-dimensional (3D) motion equations to the 2D ones we use the trough-the-thickness integration procedure. As a result, the 2D dynamic parameters of the plate depend not only on the density distribution in the bulk but also on the surface mass density.

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Authors (2)

Holm Altenbach Dr. hab.
- Otto von Guericke University Magdeburg, Niemcy Technische Mechanik
Victor Eremeev prof. dr hab.

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Category:: Monographic publication
Type:: rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Title of issue:: Contributions to Advanced Dynamics and Continuum Mechanics strony 19 - 26
Language:: English
Publication year:: 2019
Bibliographic description:: Altenbach H., Eremeev V.: On Nonlinear Dynamic Theory of Thin Plates with Surface Stresses// Contributions to Advanced Dynamics and Continuum Mechanics/ Cham: Springer, 2019, s.19-26
DOI:: Digital Object Identifier (open in new tab) 10.1007/978-3-030-21251-3_2
Verified by:: Gdańsk University of Technology