Wood As a Bimodular Material
Keywords:
Young's modulus, moisture content, bimodular, mechanical properties, failure mechanisms, modulus of elasticity, tension, compression, fibersAbstract
Wood is usually considered to be a material with equal stiffness in tension and compression, but this supposition is not uniformly supported by experimental evidence. On the basis of data in the literature, the authors believe that there is sufficient evidence to conclude that some woods, particularly hardwoods, exhibit bimodular behavior. For the hardwood data analyzed here, the ratio of Young's modulus in tension to Young's modulus in compression (Et/Ec) averaged 1.08 and ranged as high as 1.28. Comparisons with composite materials with known bimodular behavior suggest that fiber displacement around rays (and the resulting fiber curvature) might be one cause of this behavior. Some data also indicate that the equality of the tension and compression moduli may be affected by the moisture content. There are similarities with synthetic fibers which suggest that wood fibers might also be bimodular, but the question of whether bimodular behavior can be ascribed to both undelignified fibers and solid wood remains unanswered.References
Air Force Materials Lab, Advanced Composites Div. 1971. Structural design guide for advanced composites applications: Material characterization, vol. I, 2nd ed. Original not seen. Cited by Jones (1977).nAnderson, J. A. 1981. Stress-strain relationship for defect-free timber beams. Wood Science 14(1):23-31.nBach, C., and R. Baumann. 1924. Elastizität und Festigkeit. 9 Auflage, Julius Springer, Berlin, pp. 300-309. Original not seen. Cited by Dietz.nBazan, I. M. M. 1980. Ultimate bending strength of timber beams. Ph.D. dissertation in Civil Engineering, Nova Scotia Technical College, Halifax, Nova Scotia, Canada.nBert, C. W. 1979. Micromechanics of the different elastic behavior of filamentary composites in tension and compression. Pages 17-28 in Mechanics of bimodulus materials, Proceedings of a symposium held during the 1979 Winter Annual Meeting of the Applied Mechanics Division, American Society of Mechanical Engineers, New York, NY.nClark, S. K. 1963. The plane elastic characteristics of cord-rubber laminates. Textile Res. J. 33(4):295-313.nConners, T. E. 1985. The effect of moisture gradients on the stiffness and strength of yellow-poplar. Ph.D. dissertation in Forestry and Forest Products, Virginia Polytechnic Institute and State University, Blacksburg, VA.nConners, T. E. 1988. Modeling moisture gradient effects on bending properties. Wood Fiber Sci. 20(2):226-242.nCousins, W. J. 1976. Elastic modulus of lignin as related to moisture content. Wood Sci. Technol. 10:9-17.nCousins, W. J. 1978. Young's modulus of hemicellulose as related to moisture content. Wood Sci. Technol. 12:161-167.nDavidovitz, M., A. Mittelman, I. Roman, and G. Marom. 1984. Failure modes and fracture mechanisms in flexure of Kevlar-epoxy composites. J. Mater. Sci. 19(2):377-384.nDavis, J. W., and N. R. Zurkowski. Undated. Put the strength and stiffness where you need it. Rept. T-STDB(101.05) R, Reinforced Plastics Div., Minnesota Mining and Manufacturing Co. Original not seen. Cited by Jones.nDe Teresa, S. J., R. S. Porter, and R. J. Farris. 1985. A model for the compressive buckling of extended chain polymers. J. Mater. Sci. 20(5):1645-1659.nDietz, A. G. H. 1942. Stress-strain relations in timber beams (Douglas fir). ASTM Bulletin 118:19-27.nDinwoodie, J. M. 1968. Failure in timber, Part I. Microscopic changes in cell-wall structure associated with compression failure. J. Inst. Wood Sci. 21:37-53.nDucheyne, P., E. Aernoudt, and P. De Meester. 1978. The mechanical behavior of porous austenitic stainless steel fibre structures. J. Mater. Sci. 13:2650-2658.nEthington, R. L. 1961. Stiffness and bending strength of beams laminated from two species of wood. USDA Forest Service, Forest Products Laboratory Report No. 2156.nGreenwood, J. H., and P. G. Rose. 1974. Compressive behaviour of Kevlar 49 fibres and composites. J. Mater. Sci. 9(1974):1809-1814.nHagen, G. H. L. 1842. Die Elastizität des Holzes. Bericht … der k. Preuss. Akademie der Wissenschaften, Berlin, pp. 316-319. Original not seen. Abstracted by Todhunter and Pearson (1886), Article 1229.nHerrmann, L. R., W. E. Mason, and S. T. K. Chan. 1967. Response of reinforcing wires to compressive states of stress. J. Composite Mater. 1(3):212-226.nHolland, V. F., and W. B. Black. 1979. Kink bands by compression of ultra-drawn linear polyethylene. J. Mater. Sci. 14(1):250-252.nJones, R. M. 1977. Stress-strain relations for materials with different moduli in tension and compression. AIAA Journal 15(1):16-23.nJones, R. M., and D. A. R. Nelson. 1976. Material models for nonlinear deformation of graphite. AIAA Journal 14(6):709-717.nJones, W. R., and J. W. Johnson. 1971. Intrinsic strength and non-Hookean behaviour of carbon fibres. Carbon 9:645-655.nKeith, C. T., and W. A. Côté, Jr. 1968. Microscopic characterization of slip lines and compression failures in wood cell walls. Forest Prod. J. 18(3):67-74.nKolbeck, A. G., and D. R. Uhlmann. 1976. Deformation structures in solid-state extruded polyethylene. J. Appl. Polymer Sci.: Polymer Physics Edition 14(7):1257-1270.nKratsch, K. M., J. C. Schutzler, and D. A. Eitman. 1972. Carbon-carbon 3-D orthogonal materials behavior. AIAA Paper 72-365, AIAA/ASME/SAE 13th Structures, Structural Dynamics, and Materials Conference, San Antonio, TX. Original not seen. Cited by Bert.nLafitte, M. H., and A. R. Bunsell. 1982. The fatigue behavior of Kevlar-29 fibres. J. Mater. Sci. 17(8):2391-2397.nLamarle, E. 1845. Mémoir sur la flexion du bois. Annales des Travaux publics de Belgique, 3:1-64. Original not seen. Abstracted by Todhunter and Pearson (1886), Articles 1253-1254.nLamarle, E. 1846. Mémoir sur la flexion du bois. Annales des Travaux publics de Belgique, 4:1-36. Original not seen. Abstracted by Todhunter and Pearson (1886), Articles 1253-1254.nMark, R. 1961. Wood-aluminum beams within and beyond the elastic range. Forest Prod. J. 11(10):477-484.nMark, R. 1972. Mechanical behavior of the molecular components of fibers. Pages 49-88 in Benjamin A. Jayne, ed. Theory and design of wood and fiber composite materials. Syracuse University Press, Syracuse, NY.nMazur, S. J. 1965. Ultimate strength theory for rectangular wooden beams. In Symposium on timber and timber structures, Transactions of the Engineering Institute of Canada, EIC-65-BR & STR 13. 8(A-16):7-11.nMoe, J. 1961. The mechanism of failure of wood in bending. International Association for Bridge and Structural Engineering 21:163-178.nNortholt, M. G. 1974. X-ray diffraction study of poly(p-phenylene terepthalamide) fibers. European Polymer J. 10:799-803.nNwokoye, D. N. 1972. An investigation into an ultimate beam theory for rectangular timber beams—solid and laminated. Timber Research and Development Association (TRADA) Research Report E/RR/34, April, 1972. Hughenden Valley, High Wycombe, Buckinghamshire, Great Britain.nPanshin, A. J., and C. deZeeuw. 1980. Textbook of wood technology, 4th ed. McGraw-Hill Book Company, New York, NY.nPage, et al., 1971. Behaviour of single wood fibres under axial tensile strain. Nature 229(5282):252-253.nH. Patel P. J. Turner L. and J. D. Walter. 1976. Radial tire cord-rubber composites. Rubber Chem. Technol. 49:1095-1110.nPiggott, M. R., and B. Harris. 1980. Compression strength of carbon, glass Kevlar-49 fibre reinforced polyester resins. J. Mater. Sci. 15(10):2523-2538.nSalmen, L. 1982. Temperature and water induced softening behaviour of wood fiber based materials. Ph.D. dissertation in Paper Technology, The Royal Institute of Technology, Stockholm, Sweden.nSawada, M. 1956. A test method of Poisson's ratio of wood. J. Japan Wood Res. Soc. (Mokuzai Gakkaishi) 2(6):233-236.nSawada, M. 1958. Studies on the mechanical characteristics of woods, mainly as affecting factors of wood beams. Japan Forest Experiment Station Bulletin, Tokyo, No. 108, pp. 115-224.nSchneider, M. H., J. G. Phillips, D. A. Tingley, and K. I. Brebner. 1990. Mechanical properties of polymer-impregnated sugar maple. Forest Prod. J. 40(1):37-41.nSeldin, E. J. 1966. Stress-strain properties of polycrystalline graphites in tension and compression at room temperature. Carbon 4:177-191.nSliker, A. 1973. Young's modulus parallel to the grain in wood as a function of strain rate, stress level and mode of loading. Wood Fiber 4(4):325-333.nStarrett, H. S., and C. D. Pears. 1973. Probable and average properties of ATJ-S(WS) graphite. Southern Research Inst. AFML-TR-73-14, Vol. I. Original not seen. Cited by Bert.nStern, E. G. 1944. Strength properties of yellow poplar from Virginia. Bulletin of the Virginia Polytechnic Institute, 38(2):3-34. Engineering Experiment Station Series No. 59.nTabbador, F. 1979. Survey of constitutive equations of bimodulus elastic materials. Pages 1-16 in Mechanics of bimodulus materials, Proceedings of a symposium held during the 1979 Winter Annual Meeting of the Applied Mechanics Division, American Society of Mechanical Engineers, New York, NY.nTodhunter, I., and K. Pearson. 1886. A history of the theory of elasticity and of the strength of materials, volume I. Cambridge, at the University Press, Cambridge, U.K.nWalker, J. N. 1961. Interpretation and measurement of strains in wood. Ph.D. dissertation in Agricultural Engineering, Purdue University, Lafayette, Indiana.nWinandy, J. E., and R. M. Rowell. 1984. The chemistry of wood strength. Pages 211-255 in Roger Rowell, ed. The chemistry of solid wood. Advances in Chemistry Series Number 207. American Chemical Society, Washington, D.C. Based on a short course and symposium sponsored by the Division of Cellulose, Paper, and Textile Chemistry at the 185th meeting of the American Chemical Society, Seattle, WA, 3/83.nYokoyama, T. 1988. A microcomputer-aided four-point bend test system for determining uniaxial stress-strain curves. J. Testing Eval. 16(2):198-204.nZakic, B. D. 1976. Stress distribution within the plastic range in wood beam subjected to pure bending. Holz-forschung und Holzerwertung 28(5):114-120.nZweben, C. 1978. The flexural strength of aramid fiber composites. J. Composite Mater. 12:422-430.n
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