Lundström Tor, Heiz Urs, Stoffel Markus, Stöckli Veronika
WSL, Swiss Federal Institute for Snow and Avalanche Research SLF, 7260 Davos Dorf, Switzerland.
Tree Physiol. 2007 Sep;27(9):1229-41. doi: 10.1093/treephys/27.9.1229.
To provide data and methods for analyzing stem mechanics, we investigated bending, density and growth characteristics of 207 specimens of fresh wood from different heights and radial positions of the stem of one mature Norway spruce (Picea abies L. Karst.) tree. From the shape of each stress-strain curve, which was calculated from bending tests that accounted for shear deformation, we determined the modulus of elasticity (MOE), the modulus of rupture (MOR), the completeness of the material, an idealized stress-strain curve and the work involved in bending. In general, all mechanical properties increased with distance from the pith, with values in the ranges of 5.7-18 GPa for MOE, 23-90 MPa for MOR and 370-630 and 430-1100 kg m(-3) for dry and fresh wood densities, respectively. The first three properties generally decreased with stem height, whereas fresh wood density increased. Multiple regression equations were calculated, relating MOR, MOE and dry wood density to growth properties. We applied these equations to the growth of the entire stem and considered the annual rings as superimposed cylindrical shells, resulting in stem-section values of MOE, MOR and dry and fresh densities as a function of stem height and cambial age. The standing tree exhibits an inner stem structure that is well designed for bending, especially at a mature stage.
为了提供分析茎干力学的数据和方法,我们研究了一棵成熟挪威云杉(Picea abies L. Karst.)树茎干不同高度和径向位置的207个新鲜木材样本的弯曲、密度和生长特性。通过考虑剪切变形的弯曲试验计算出每条应力-应变曲线的形状,我们确定了弹性模量(MOE)、断裂模量(MOR)、材料完整性、理想化应力-应变曲线以及弯曲所涉及的功。一般来说,所有力学性能都随着离髓心距离的增加而增加,弹性模量的值在5.7 - 18 GPa范围内,断裂模量在23 - 90 MPa范围内,干木材密度和新鲜木材密度分别在370 - 630和430 - 1100 kg m(-3)范围内。前三个性能通常随着茎干高度的增加而降低,而新鲜木材密度则增加。计算了多元回归方程,将断裂模量、弹性模量和干木材密度与生长特性联系起来。我们将这些方程应用于整个茎干的生长,并将年轮视为叠加的圆柱壳,从而得出弹性模量、断裂模量以及干密度和新鲜密度的茎干截面值作为茎干高度和形成层年龄的函数。立木呈现出一种内部茎干结构,这种结构非常适合弯曲,尤其是在成熟阶段。