A nonlinear theory for elastic plates with application to characterizing paper properties

M. W. Johnson; Thomas Urbanik

Treesearch

A nonlinear theory for elastic plates with application to characterizing paper properties

Informally Refereed

Authors:

M. W. Johnson, Thomas Urbanik

Year:

1984

Type:

Miscellaneous Publication

Station:

Forest Products Laboratory

Source:

Journal of applied mechanics. Vol. 106 (Mar. 1984): pages 146-152.

Download (PDF 197 KB)

Download (PDF 197 KB): https://research.fs.usda.gov/download/treesearch/30519.pdf

Abstract

A theory of thin plates which is physically as well as kinematically nonlinear is, developed and used to characterize elastic material behavior for arbitrary stretching and bending deformations. It is developed from a few clearly defined assumptions and uses a unique treatment of strain energy. An effective strain concept is introduced to simplify the theory to a special theory having fewer parameters and being capable of characterizing paper. A procedure is given for matching the special theory to edgewise compressive data of paperboard.

Keywords

Paper, bending, deformation, paperboard, equations, stretch, edgewise compression, stress strain, anisotropic

Citation

Johnson, M. W.; Urbanik, Thomas J. 1984. A nonlinear theory for elastic plates with application to characterizing paper properties. Journal of applied mechanics. Vol. 106 (Mar. 1984): pages 146-152.