Analysis of the viscoelastic behavior of plates made of functionally graded materials
- 15 April 2008
- journal article
- research article
- Published by Wiley in ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Vol. 88 (5) , 332-341
Abstract
Considering the viscoelastic behavior of polymer foams, a new plate theory based on the direct approach is introduced and applied to plates composed of functionally graded materials (FGM). The governing two‐dimensional equations are formulated for a deformable surface and the stiffness parameters are identified for the linear viscoelastic isotropic material behavior. It is assumed that the material properties are changing in thickness direction. Solving the plate bending problem of the global mechanical analysis, it will be demonstrated that in some cases, the results significantly differ from the results based on the classical Kirchhoff‐type theory.Keywords
This publication has 16 references indexed in Scilit:
- The Theory of Simple Elastic Shells2004
- Metal Foams: A Design GuideApplied Mechanics Reviews, 2001
- An alternative determination of transverse shear stiffnesses for sandwich and laminated platesInternational Journal of Solids and Structures, 2000
- On the determination of transverse shear stiffnesses of orthotropic platesZeitschrift für angewandte Mathematik und Physik, 2000
- Eine direkt formulierte lineare Theorie für viskoelastische Platten und SchalenArchive of Applied Mechanics, 1988
- Reflections on the Theory of Elastic PlatesApplied Mechanics Reviews, 1985
- Mechanics of deformable directed surfacesInternational Journal of Solids and Structures, 1976
- The Theory of Shells and Plates1973
- On the Theory of Bending of Elastic PlatesJournal of Mathematics and Physics, 1944
- LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic barsJournal of Computers in Education, 1921