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硬化水泥浆体损伤断裂的分形研究

FRACTAL—GEOMETRIC STUDY ON DAMAGE—FRACTURE OF HARDENED CEMENT PASTE
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摘要 硬化水泥浆体的结构很不规则,其主要特征是多孔性,因此,从微观结构上研究其力学性能存在很大的困难。本文试图通过B.B Mandelbrot的分形理论,从微观结构的角度,对硬化水泥浆体建立六角点阵模型,在此模型的基础上对其损伤断裂过程进行分形处理,从而得出硬化水泥浆体的临界断裂扩展力的数学表达式,使理论值与实际值更加相符。 The structure of hardened cement paste is quite irregular, its main property is that there are many holes in it. Therefore, its properties in mechanics are difficult to be study in micro-structure. In this paper, a model of lattice of six-angle shape on the structure of the hardened cement paste is set up, in view of which the fractal geometry that found by B.B Mandelbrot is applied to the process of the damage-fracture of the hardened cement paste and the maths expression of its critical fracture expend force is obtained. Thus, the theoretical value got from the expression can be suited to the experimental value better.
作者 张仲
出处 《山东建材学院学报》 1992年第3期19-22,11,共5页 Journal of Shandong Institute of Building Materials
关键词 硬化水泥浆体 分形维 六角点阵 hardened cement paste fractal-geometric dimension six-angle shape lattice
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