๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the distribution of tree growth stresses

โœ Scribed by R. R. Archer

Publisher
Springer
Year
1981
Tongue
English
Weight
326 KB
Volume
15
Category
Article
ISSN
0043-7719

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โœฆ Synopsis

A model for the build up of residual growth stresses in cylindrical tree stems is presented. By using Bessel functions the general equations can be solved to allow for surface strain distributions that vary both in the circumferential as well as longitudinal directions. An arbitrary surface strain distribution can be decomposed into Fourier components and the residual internal stresses can be found by superimposing the component solutions due to each new increment of growth. A numerical simulation leading to the residual stress distribution for a typical hardwood is presented.

๐Ÿ“œ SIMILAR VOLUMES

On the distribution of tree growth stres
On the distribution of tree growth stresses
โœ R. R. Archer ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer ๐ŸŒ English โš– 423 KB

Growth stress distributions in trees are derived using the hypothesis that longitudinal and circumferential growth strains are continuously induced at the periphery of the growing stem. A plane strain combined with pure torsion model is used to compute the internal stresses and strains due to forces

On the distribution of tree growth stres
On the distribution of tree growth stresses โ€” Part I: An anisotropic plane strain theory
โœ R. R. Archer; F. E. Byrnes ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Springer ๐ŸŒ English โš– 531 KB

Growth stress distributions in trees are derived using the hypothesis that longitudinal and circumferential growth strains are continuously induced at the periphery of the growing stem. An axisymmetric plane deformation model serves as a basis for the cylindrically orthotropic analysis. By accountin

On the origin of growth stresses in tree
On the origin of growth stresses in trees
โœ R. R. Archer ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Springer ๐ŸŒ English โš– 530 KB

The mechanics of growth stress generation in a tissue of developing wood cells is studied by means of a continuum-mechanical model which assumes that the stresses which accumulate in the cells are induced by growth strains in the newly formed cell wall increments as they are laid down. The feasibili