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重组木微观力学模型及刚度参数分析方法探讨 总被引:5,自引:3,他引:5
以复合材料力学的微观力学分析方法为基础,在横观各向同性假设下,建立了重组木的材料力学与弹性力学分析的力学模型。由该模型,综合复合材料力学的理论,预测重组木的纵、横向弹性模量,泊松比,纵横向剪切弹性模量,给出材料力学分析的具体公式。 相似文献
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This article presents a theoretical verification of the reinforced-matrix hypothesis derived from tensor equations, σ
W = σ
f + σ
m and ε
W = ε
f = ε
m (Wood Sci Technol 32:171–182, 1998; Wood Sci Technol 33:311–325, 1999; J Biomech Eng 124:432–440, 2002), using classical
Mori-Tanaka theory on the micromechanics of fiber-reinforced materials (Acta Metall 21:571–574, 1973; Micromechanics — dislcation
and inclusions (in Japanese), pp 141–147, 1976). The Mori-Tanaka theory was applied to a small fragment of the cell wall undergoing
changes in its physical state, such as those arising from sorption of moisture, maturation of wall components, or action of
an external force, to obtain 〈σ
A〉D = ϕ·〈σ
F〉I + (1−ϕ)·〈σ
M〉D−I. When the constitutive equation of each constituent material was applied to the equation 〈σ
A〉D = ϕ·〈σ
F〉I + (1−ϕ)·〈σ
M〉D−I, the equations σ
W = σ
f + σ
m and ε
W = ε
f = ε
m were derived to lend support to the concept that two main phases, the reinforcing cellulose microfibril and the lignin-hemicellulose
matrix, coexist in the same domain. The constitutive equations for the cell wall fragment were obtained without recourse to
additional parameters such as Eshelby’s tensor S and Hill’s averaged concentration tensors AF and AM. In our previous articles, the coexistence of two main phases and σ
W = σ
f + σ
m and ε
W = ε
f =ε
m had been taken as our starting point to formulate the behavior of wood fiber with multilayered cell walls. The present article
provides a rational explanation for both concepts. 相似文献
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