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Studies on effect of shape of cut on growth-stress induced cracking in cut timber

Part II: Optimization of axisymmetric cuts

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Summary

Using the assumptions made on growth-stress related parameters in Part I, several optimization problems are posed. Finite element and optimization techniques show that for axisymmetric geometries, while cracking may be reduced by making cuts of special shapes, a compensating amount of wood is destroyed by making the cut. Also included in this study are banding of the log and stepped cuts with application of radial pressure. The results show that some combinations of radial pressure and the extent over which it is applied remove the most highly stressed wood.

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References

  • Cook, R. D. 1974. Concepts and applications of finite element analysis. 1st ed. New York: John Wiley & Sons

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  • May, J. H. 1974. Linearly constrained nonlinear programming: A solution method that does not require analytic derivatives. Ph.D. Dissertation. Yale University

  • Tantichaiboriboon, V., Cook, R. D. 1976. Effect of shape of cut on growth-stresses induced cracking in cut timber. Report No. PB-251-364/AS, National Technical Information Service

  • Zienkiewicz, O. C. 1971. The finite element method in engineering science. 2nd ed. London: McGraw Hill

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Authors and Affiliations

  1. Dept. of Civil and Environmental Engineering and Dept. of Engineering Mechanics, University of Wisconsin, Madison, Wisconsin, USA

    V. Tantichaiboriboon & R. D. Cook

Authors
  1. V. Tantichaiboriboon
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  2. R. D. Cook
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Additional information

The support of the National Science Foundation under Grant GK-39920 is gratefully acknowledged.

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Tantichaiboriboon, V., Cook, R.D. Studies on effect of shape of cut on growth-stress induced cracking in cut timber. Wood Sci. Technol. 11, 305–312 (1977). https://doi.org/10.1007/BF00356928

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  • DOI: https://doi.org/10.1007/BF00356928

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