聚丙烯纖維砂漿拉伸試驗(yàn)及三維分形破裂面分析*
宣衛(wèi)紅，王艷，陳育志，王潘繡，陳曉洪，王瑤
- 摘 要
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（金陵科技學(xué)院建筑工程學(xué)院， 南京 211169）［摘要］運(yùn)用分形理論及遞歸算法編制VB程序，隨機(jī)構(gòu)造出纖維砂漿拉伸試件三維分形破裂面進(jìn)行分析。結(jié)果表明，聚丙烯纖維水泥基材拉伸承載力由水泥基材三維破裂面正截面承載力、水泥基材三維破裂面拉力方向截面承載力以及聚丙烯纖維水泥基材粘結(jié)力三部分構(gòu)成，較未摻纖維試件僅有水泥基材正截面承載力有所提高。采用所提出的三維分形破裂面的分析方法隨機(jī)統(tǒng)計(jì)分析了聚丙烯纖維砂漿試件的直接拉伸承載力，與試驗(yàn)值相差在5%以內(nèi)。因此，水泥基材中大量亂向分布的低彈性模量纖維能夠阻礙裂縫的擴(kuò)展，形成更為復(fù)雜的破裂面，提高了纖維水泥基材的抗拉強(qiáng)度。［關(guān)鍵詞］聚丙烯纖維; 分形; 遞歸算法; 拉伸承載力; 補(bǔ)強(qiáng)作用機(jī)理中圖分類號(hào)：TU521 文獻(xiàn)標(biāo)識(shí)碼：A 文章編號(hào)：1002-848X(2014)22-0082-04Tensile test of polypropylene fiber mortar and three-dimensional fractal fracture surface analysisXuan Weihong, Wang Yan, Chen Yuzhi, Wang Panxiu, Chen Xiaohong, Wang Yao（Architectural Engineering Institute, Jinling Institute of Technology, Nanjing 211169, China）Abstract: By using the fractal theory and the recursive algorithm VB program, a threedimensional fractal fracture surface of a fiber mortar tensile test specimen was randomly constructed and analyzed. Research results show that the tensile bearing capacity of polypropylene fiber-cement base material is composed of three parts of the normal section bearing capacity of three-dimensional failure surface based on cement base material, the tensile-directional section bearing capacity of three-dimensional failure surface based on cement base material, and cohesive bearing capacity of polypropylene fiber-cement base material. Compared with test specimens without fiber, only the normal section bearing capacity of three-dimensional failure surface based on cement base material improves. The proposed three-dimensional fractal fracture surface analysis method of random statistical analysis was used to analyze direct tensile bearing capacity of the polypropylene fiber mortar specimen and the error is within 5% compared with test values. Therefore, random-distributed low elastic modulus in cement base material can hinder the crack development and form more complex fracture surface to improve the tensile strength of the fiber cement base material.Keywords: polypropylene fiber; fractal; recursive algorithm; tensile strength; reinforcing mechanism*江蘇省產(chǎn)學(xué)研聯(lián)合創(chuàng)新資金項(xiàng)目（BY2012039），金陵科技學(xué)院博士啟動(dòng)基金項(xiàng)目（jit-b-201107）。作者簡介：宣衛(wèi)紅，博士，教授，Email：xuanwh2004@sina.com。參考文獻(xiàn)［1］孫博文. 分形算法與程序設(shè)計(jì)［M］. 北京: 科學(xué)出版社, 2002.［2］李士彬, 湯紅衛(wèi), 朱慈勉. 鋼筋混凝土構(gòu)件損傷演化的分形行為［J］. 石家莊鐵道學(xué)院學(xué)報(bào), 2006, 19(1): 54-57, 66.［3］YAN A, WU K, ZHANG X. A quantitative study on the surface crack pattern of concrete with high content steel fiber［J］. Cement and Concrete Research, 2002, 32(9): 1371-1375.［4］曹茂森, 任青文, 翟愛民, 等. 混凝土結(jié)構(gòu)損傷的分形特征實(shí)驗(yàn)分析［J］. 巖土力學(xué), 2005, 26(10): 1570-1574.［5］張衡. 混凝土分形斷裂行為及損傷本構(gòu)研究［D］. 廣州：華南理工大學(xué), 2010.［6］鄭山鎖, 任夢(mèng)寧, 謝明, 等. 混凝土斷裂面多重分形譜的二次擬合研究［J］. 工程力學(xué), 2013, 30(5): 97-102.［7］孫洪泉, 魏超義, 丁俊, 等. 骨料粒徑變化的混凝土梁斷裂面的分形研究［J］. 工程力學(xué), 2013, 39(3): 39-41.［8］曾慶敦. 復(fù)合材料的細(xì)觀破壞機(jī)制與強(qiáng)度［M］. 北京:科學(xué)出版社, 2002: 159-160.［9］林小松, 楊果林. 鋼纖維高強(qiáng)與超高強(qiáng)混凝土［M］. 北京: 科學(xué)出版社, 2002.［10］DL/T 5150—2001 水工混凝土試驗(yàn)規(guī)程 ［S］. 北京: 中國電力出版社, 2002.
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