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Use of singular fractal functions to generate constitutive laws of quasi-brittle materials

机译:使用奇异分形函数生成准脆性材料的本构定律

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摘要

This paper reports on use of singular fractal functions to generate constitutive laws of quasi-brittle materials like concrete. Singular Fractal Functions belong to a class of monotonically Increasing functions which are differentiable almost everywhere, possessing zero derivative, throughout their domain. Fracture surfaces of quasi-brittle materials like concrete and also crack pattern are considered as irregular objects called as natural fractals. The results of simulations obtained in the present study are compared with existing experimental results and it is encouraging to use that the results match closely.
机译:本文报道了使用奇异分形函数生成准脆性材料(如混凝土)的本构律。奇异分形函数属于一类单调递增函数,它们几乎在任何地方都可微分,在整个域中具有零导数。准脆性材料(如混凝土)的断裂表面以及裂纹图案被视为不规则物体,称为自然分形。在本研究中获得的模拟结果与现有的实验结果进行了比较,令人鼓舞的是,使用结果紧密匹配是令人鼓舞的。

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