Three-Dimensional Finite-Element Models of Cylindrical Wood Fibers

Authors

  • J. D. Barrett
  • A. P. Schniewind

Keywords:

Mathematical analysis, layered systems, finite element, cell mechanics

Abstract

A finite-element solution is presented for analysis of concentric, multilayered, orthotropic cylinders subjected to loadings that do not vary around the circumference. Model fibers are analyzed, and stress distributions are compared to those obtained, using a closed form solution technique. The influence of boundary-shear restraint on internal stress distribution is studied. Comparing results of the three-dimensional finite-element model to values of axial stiffness and relative twisting angles predicted using simpler, two-dimensional methods indicated that the two-dimensional models can give good estimates of these parameters, at least for the thin-walled models.

References

Gillis, P. P., and R. E. Mark. 1973. Analysis of shrinkage, swelling, and twisting of pulp fibers. Cellul. Chem. Technol. 7:209-234.nLekhnitskii, S. G. 1963. Theory of elasticity of an anisotropic elastic body. Holden-Day Inc., San Francisco, Calif.nMark, R. E., and P. P. Gillis. 1970. New models in cell-wall mechanics. Wood Fiber 2(2):79-95.nSchniewind, A. P. 1972. Elastic behavior of the wood fiber. In: B. A. Jayne, ed. Theory and design of wood and fiber composite materials. Syracuse Univ. Press, Syracuse, N.Y.nSchniewind, A. P., and J. D. Barrett. 1969. Cell-wall model with complete shear restraint. Wood Fiber 1(3):205-214.nTimoshenko, S., and J. N. Goodier. 1951. Theory of elasticity. McGraw-Hill, New York.nTang, R. C. 1972. Three-dimensional analysis of elastic behavior of wood fiber. Wood Fiber 3(4):210-219.nZienkiewicz, O. C. 1971. The finite element method in engineering science. McGraw-Hill, London.n

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Published

2007-06-05

Issue

Number 3 / Fall 1973

Section

Research Contributions

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