Three-Dimensional Analysis of Elastic Behavior of Wood Fiber<sup>1</sup>

Authors

  • R. C. Tang

Abstract

An exact solution of stress for each layer of cell wall under tension has been obtained by considering wood fiber as a hollow composite anisotropic circular cylinder. Numerical results of stresses and the relative angle of twist of a single fiber, as well as the values of each layer of the cell wall, are given for six hypothetical wood fibers.

References

Cave, I. D. 1968. The anisotropic elasticity of the plant cell wall. Wood Sci. Technol., 2(4): 268-278.nCave, I. D. 1969. The longitudinal Young's modulus of Pinus radiata.Wood Sci. Technol., 3(1):40-48.nGillis, P. P. 1969. Effect of hydrogen bonds on the axial stiffness of crystalline native cellulose. J. Polymer Sci., A-2(7):783-794.nGillis, P. P. 1970. Elastic moduli for plane stress analyses of unidirectional composites with anisotropic rectangular reinforcements. Fibre Sci. Tech., 2:193-210.nGillis, P. P., R. E. Mark, and R. C. Tang. 1969. Elastic stiffness of crystalline cellulose in the folded-chain solid state. J. Mater. Sci., 4: 1003-1007.nJaswon, M. A., P. P. Gillis, and R. E. Mark. 1968. The elastic constants of crystalline native cellulose. Proc. Roy. Soc. (London), Ser. A 306:389-412.nLekhnitskii, S. G. 1963. Theory of elasticity of an anisotropic elastic body. Holden-Day, Inc., San Francisco.nLyons, W. J. 1959. Theoretical value of the dynamic stretch moduli of cellulose. J. Appl. Phys., 30:796-797.nMark, R. E. 1967. Cell-wall mechanics of tracheids. Yale Press, New Haven.nMark, R. E., and P. P. Gillis. 1970. New models in cell-wall mechanics. Wood and Fiber, 2(2): 79-95.nMark, R. E., P. N. Kaloni, R. C. Tang, and P. P. Gillis. 1969. Solid mechanics and crystal physics as tools for cellulose structure investigation. Textile Res. J., 39(3):203-212.nMeredith, R. 1946. The elastic properties of textile fibers. J. Textile Inst., 37:469-480.nSakusada, I., Y. Nukushina, and T. Ito. 1962. Experimental determination of the elastic modulus of crystalline regions in oriented polymers. J. Polymer Sci., 57:651-660.nSchniewind, A. P. 1969. Elastic behavior of the wood fiber. In B. A. Jayne [ed], Theory and design of wood and fiber composite materials. University of Washington, Seattle.nTreloar, L. R. G. 1960. Calculation of elastic moduli of polymer crystals III: Cellulose. Polymer, 1 (3): 290-303.nTreloar, L. R. G., and J. D. Barrett. 1969. Cell-wall model with complete shear restraint. Wood and Fiber, 1(3):205-214.nTang, R. C., and S. F. Adams. 1970. Stresses in a rotating cylinder and variable thickness disk of anisotropic materials. J. Compos. Mater., 4:419-421.n

Downloads

Published

2007-06-05

Issue

Section

Research Contributions