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
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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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