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.
Authors
- Dr. hab. Holm Altenbach,
- prof. dr hab. Victor Eremeev link open in new tab
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1007/978-3-030-21251-3_2
- Category
- Publikacja monograficzna
- Type
- rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
- Language
- angielski
- Publication year
- 2019
