New Models in Cell-Wall Mechanics
AbstractA comparison is made of the mechanical behavior of fiber cell-wall models with complete shear restraint and the earlier model of Mark in which shear restraint was assumed in the case of the S1 layer only. Literature review and experimental work indicate that for different circumstances, different models may be more appropriate. A further modification of the general analytical approach is offered—a "two-wall" analysis that allows for the general existence of different transverse strains in radial and tangential walls, respectively. A more refined calculation of the elastic constants of each cell-wall layer is also employed. The effect of certain cell-wall parameters on stress and strain distribution is explored. New experimental work on the torsional behavior of wood fibers is presented in the light of the theoretical models for cell walls.
Ashton, J. E., J. C. Halpin, and P. H. Petit. 1969. Primer on composite materials: Analysis. Technomic Pub. Co., Stamford, Conn. 124 pp.nBalashov, V., R. D. Preston, G. W. Ripley, and L. C. Spark. 1957. Structure and mechanical properties of vegetable fibres. I. The influence of strain on the orientation of cellulose microfibrils in sisal leaf fibre. Proc. Roy. Soc. (London) B, 146: 460-468.nBarber, N. F., and B. A. Meylan. 1964. The anisotropic shrinkage of wood. A theoretical model. Holzforsch., 18(5): 146-156.nCave, I. D. 1968. The anisotropic elasticity of the plant cell wall. Wood Sci. Tech., 2(4): 268-278.nCave, I. D. 1969. The longitudinal Young's modulus of Pinus radiata. Wood Sci. Tech., 3: 40-48.nCôté, W. A., Jr., A. C. Day, and T. E. Timell. 1968. Studies on compression wood—Part VII: Distribution of lignin in normal and compression wood of tamarack [Larix laricina (Du Roi) K. Koch] Wood Sci. Tech., 2: 13-37.nCowdrey, D. R., and R. D. Preston. 1966. Elasticity and microfibrillar angle in the wood of Sitka spruce. Proc. Roy. Soc. (London) B, 166: 245-272.nDavies, G. W. 1968. Microscopic observations of wood fracture. Holzforsch., 22: 177-181.nEsau, K. 1960. Anatomy of seed plants. John Wiley Inc., New York,. 376 pp.nGillis, P. P. 1970. Elastic moduli for plane stress analyses of unidirectional composites with anisotropic rectangular reinforcement. Fibre Sci. Tech. 2: 193-210.nGreszczuk, L. B. 1964. Elastic constants and analysis methods for filament wound shell structures. Douglas Aircraft Missile and Space Systems Div., Rept. SM-45849.nGrozdits, G. A. and G. Ifju. 1969. Development of tensile strength and related properties in differentiating coniferous xylem. Wood Sci., 1(3): 137-147.nHarris, J. M., and B. A. Meylan. 1965. The influence of microfibril angle on longitudinal and tangential shrinkage in Pinus radiata. Holzforsch. 19(5): 144-153.nHearle, J. W. S. 1963. The fine structure of fibers and crystalline polymers. III. Interpretation of mechanical properties of fibers. J. Appl. Polymer Sci., 7: 1207-1223.nHill, R. 1965. Theory of mechanical properties of fibre strengthened materials. III. Self-conisstent model. J. Mech. Phys. Solids, 13: 189-198.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.nKórán, Z. 1967. Electron microscopy of radial tracheid surfaces of black spruce separated by tensile failure at various temperatures. Tappi, 50: 60-67.nmark, R. E. 1965. Treatise on the tensile strength of tracheids. D. For. Dissert., Yale University.nmark, R. E. 1967. Cell wall mechanics of tracheids, Yale University Press, 310 pp.nMeylan, B. A. 1968. Cause of high longitudinal shrinkage in wood. Forest Prod. J., 18(4): 75-78.nReissner, E. and Y. Stavsky. 1961. Bending and stretching of certain types of heterogeneous aeolotropic elastic plates. J. Appl. Mech., 28: 402-408.nSchniewind, A. P. 1970. Elastic behavior of the wood fiber. In B. A. Jayne (ed.), Theory and design of wood and fiber composite materials, Univ. Wash., Seattle.nSchniewind, A. P. and J. D. Barrett. 1969. Cell wall model with complete shear restraint. Wood & Fiber, 1(3): 205-214.nsmith, C. B. 1953. Some new types of orthotropic plates laminated of orthotropic material. J. Appl. Mech., 20: 286-288.nwhitney, J. M. 1969. Bending-extensional coupling in laminated plates under transverse loading. J. Composite Materials, 3: 20-28.nwhitney, J. M. and J. C. Halpin. 1968. Analysis of laminated anisotropic tubes under combined loading. J. Composite Materials, 2(3): 360-367.nwhitney, J. M. and A. W. Leissa. 1969. Analysis of heterogeneous anisotropic plates. J. Appl. Mechanics, 36: 261-266.n
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