木材横引張りにおける細胞壁内の応力分布

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The stress distributions within the cell wall subjected to a tensile force in the tangential direction were discussed on the basis of a Finite Element Solution for the late-wood cell model. The values of Young's modulus and Poisson's ratio of the cell obtained from this analysis were also compared with the experimental ones reported by Boutelje^<14)> on the samples consisting of isolated late-wood from Swedish pine-wood. The' model structure was constructed by considering the geometrical parameters representing the anatomical features of Hinoki-wood and the distribution of chemical constituents in the cell wall layer. Using the elastic constants and the volume fractions of framework and matrix component given by Mark^<2)> and adopting two methods of analysis for estimating the elastic parameters of laminated system. the material constants of each cell wall layer were calculated. Furthermore, the other values for the material constants, which are obtained as the intersection of Young's modulus-specific gravity curves in radial and tangential directions, were used to compare the mechanical behaviour of the model mentioned above, with that of the model without considering the fine structures in the dell wall. The results were as follows ; (1) The maximum stress occurred in the lumen side of cell wall, and the stresses in S1, which are considered to be the initiation point of failure by Mark, and the stresses in S2 were considerably low. These results were different from those on the isotropic material with a circular hole. (2) It was proposed that a large amount of intrawall failure, which is the separation of two adjacent tracheids, might result from the failure in M+P or S3. The failure in M +P occurs when the strength of matrix is near or less than 600 kg/cm^2 and the failure in S3 occurs when the tensile strength of fibril is near or less than 1.1 ×10^4kg/cm^2. The former is more possible. (3) Young's modulus of late-wood cell was calculated with the consideration of the distribution of framework and matrix (Table IV) and a good agreement between the calculated value and the experimental one was obtained.
1977-05-15

木材横引張りにおける細胞壁内の応力分布

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