随机生成纤维.rar_随机分布_random fiber

<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/62536c5474bc5c0105f8093d/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/62536c5474bc5c0105f8093d/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">•Ⅰ<span class="ff2">-<span class="ff3">204</span></span>•<span class="ff2"> </span></div><div class="t m0 x2 h3 y2 ff4 fs1 fc0 sc0 ls0 ws0">文章编号：<span class="ff3">CSTAM2017-P33-E0023 </span></div><div class="t m0 x3 h4 y3 ff4 fs2 fc0 sc0 ls0 ws0">钢纤维混凝土轴压全曲线试<span class="_ _0"></span>验与数值模拟研究<span class="ff3"> </span></div><div class="t m0 x4 h5 y4 ff1 fs3 fc0 sc0 ls0 ws0">李<span class="ff3 ls1"> </span>悦<span class="fs4">，</span></div><div class="t m0 x5 h3 y5 ff3 fs1 fc0 sc0 ls0 ws0">*</div><div class="t m0 x6 h6 y4 ff1 fs3 fc0 sc0 ls0 ws0">李亚强</div><div class="c x0 y6 w2 h7"><div class="t m0 x7 h3 y5 ff3 fs1 fc1 sc0 ls0 ws0">1</div></div><div class="t m0 x8 h8 y4 ff3 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x9 h9 y7 ff3 fs5 fc0 sc0 ls0 ws0">(<span class="ff1">北京工业大学，城市与工程安全减灾教育部重点实验室，北京</span> <span class="_"> </span>100124) </div><div class="t m0 xa h3 y8 ff4 fs1 fc0 sc0 ls0 ws0">摘<span class="ff3 ls2"> </span>要：<span class="_ _1"></span><span class="ff1">本文针对不同体积掺量的钢纤维混凝土进行了轴压全曲线的试验研究，<span class="_ _1"></span>分析了钢纤维掺量对混凝土的轴</span></div><div class="t m0 xa ha y9 ff1 fs1 fc0 sc0 ls0 ws0">压性能的影响。<span class="_ _2"></span>并建立了钢纤维混凝土的三维数值模型，<span class="_ _2"></span>假设钢纤维混凝土是有钢纤维和混凝土基体两部分组成，</div><div class="t m0 xa h3 ya ff1 fs1 fc0 sc0 ls0 ws0">钢纤维简化为混凝土基体内互不相交随机分布的等长线段。采用<span class="_ _3"> </span><span class="ff3">matlab<span class="_ _3"> </span></span>完成建模，建立了不同体积掺量的钢纤</div><div class="t m0 xa h8 yb ff1 fs1 fc0 sc0 ls0 ws0">维混凝土三维细观模型，并分别进行了轴压数值模拟，模拟结果与实验结果吻合较好。<span class="ff3 fs4"> </span></div><div class="t m0 xa h3 yc ff4 fs1 fc0 sc0 ls0 ws0">关键词：<span class="ff1">钢纤维；混凝土；轴压全曲线；三维模型；数值模拟<span class="ff3"> </span></span></div><div class="t m0 xb hb yd ff5 fs3 fc0 sc0 ls0 ws0">EXPERIMENTAL AND NUMERICAL SIM<span class="_ _4"></span>ULATION STUDY ON AXIAL </div><div class="t m0 xc hb ye ff5 fs3 fc0 sc0 ls0 ws0">COMPRESSION CURVE OF STEEL FIBER <span class="_ _4"></span>REINFORCED CONCRETE<span class="_ _4"></span> </div><div class="t m0 xd h2 yf ff3 fs0 fc0 sc0 ls3 ws0">LI<span class="ls0"> Yue , </span>LI<span class="ls0"> <span class="ls4">Ya</span>-qiang </span></div><div class="t m0 xe h9 y10 ff3 fs5 fc0 sc0 ls0 ws0">(Beijing University of Technology, The Key Laboratory of Urban Security and Disaster Engineering, MO<span class="_ _0"></span>E, Beijing 100124<span class="_ _4"></span>, China) </div><div class="t m0 x2 hc y11 ff5 fs0 fc0 sc0 ls0 ws0">Abstract:<span class="ff3"> <span class="_"> </span> <span class="_"> </span>In <span class="_ _5"></span>this <span class="_ _5"></span>paper, <span class="_ _5"></span>t<span class="_ _0"></span>he <span class="_ _5"></span>axial <span class="_ _5"></span>compression <span class="_ _5"></span>c<span class="_ _0"></span>urves <span class="_ _5"></span>of <span class="_ _5"></span>steel <span class="_ _5"></span>fiber<span class="_ _0"></span> <span class="_ _5"></span>reinforced <span class="_ _5"></span>concrete <span class="_ _5"></span>wi<span class="_ _0"></span>th <span class="_ _5"></span>different <span class="_ _5"></span>volume </span></div><div class="t m0 x2 h2 y12 ff3 fs0 fc0 sc0 ls0 ws0">fraction <span class="_ _6"> </span>were <span class="_ _6"> </span>studied. <span class="_ _6"> </span>The <span class="_ _6"> </span>influence <span class="_ _6"> </span>of <span class="_ _6"> </span>the <span class="_ _6"> </span>steel <span class="_ _6"> </span>fiber <span class="_ _7"> </span>volume <span class="_ _6"> </span>fraction <span class="_ _6"> </span>on <span class="_ _6"> </span>the <span class="_ _6"> </span>axial <span class="_ _6"> </span>compressive <span class="_ _6"> </span>behavior <span class="_ _7"> </span>of<span class="_ _4"></span> </div><div class="t m0 x2 h2 y13 ff3 fs0 fc0 sc0 ls0 ws0">concrete <span class="_ _5"></span>was <span class="_ _5"></span>analyzed. <span class="_ _5"></span>And <span class="_ _5"></span>a <span class="_ _5"></span>three-dimensional <span class="_ _5"></span>meso-scale <span class="_ _5"></span>numerical <span class="_ _5"></span>model <span class="_ _5"></span>of <span class="_ _5"></span>steel <span class="_ _5"></span>fiber <span class="_ _8"></span>reinforced <span class="_ _5"></span>concrete </div><div class="t m0 x2 h2 y14 ff3 fs0 fc0 sc0 ls0 ws0">was <span class="_ _5"></span>established. <span class="_ _5"></span>It <span class="_ _5"></span>is <span class="_ _5"></span>assumed <span class="_ _5"></span>that <span class="_ _5"></span>the <span class="_ _9"></span>steel <span class="_ _5"></span>fiber <span class="_ _9"></span>reinforced <span class="_ _5"></span>concrete <span class="_ _5"></span>is <span class="_ _5"></span>composed <span class="_ _5"></span>of <span class="_ _5"></span>two <span class="_ _5"></span>parts: <span class="_ _5"></span>s<span class="_ _4"></span>teel <span class="_ _5"></span>fiber <span class="_ _9"></span>and </div><div class="t m0 x2 h2 y15 ff3 fs0 fc0 sc0 ls0 ws0">concrete <span class="_ _4"></span>matrix. <span class="_ _4"></span>The <span class="_ _4"></span>steel <span class="_ _a"></span>fiber <span class="_ _4"></span>is <span class="_ _4"></span>simplified <span class="_ _4"></span>as <span class="_ _4"></span>the <span class="_ _a"></span>randomly <span class="_ _4"></span>distributed <span class="_ _4"></span>line <span class="_ _4"></span>segments <span class="_ _4"></span>in <span class="_ _a"></span>the <span class="_ _4"></span>concrete <span class="_ _4"></span>matrix. <span class="_ _4"></span>the<span class="_ _4"></span> </div><div class="t m0 x2 h2 y16 ff3 fs0 fc0 sc0 ls0 ws0">three-dimensional <span class="_ _9"></span>meso-scale <span class="_ _a"></span>numerical <span class="_ _9"></span>models <span class="_ _9"></span>of <span class="_ _a"></span>steel <span class="_ _9"></span>fiber <span class="_ _9"></span>reinforced <span class="_ _a"></span>concrete <span class="_ _9"></span>with <span class="_ _9"></span>different <span class="_ _a"></span>volume <span class="_ _9"></span>fraction </div><div class="t m0 x2 h2 y17 ff3 fs0 fc0 sc0 ls0 ws0">were <span class="_ _9"></span>established <span class="_ _9"></span>by <span class="_ _a"></span>Matlab<span class="_ _4"></span>. <span class="_ _9"></span>The <span class="_ _9"></span>num<span class="_ _0"></span>erical <span class="_ _9"></span>simulation <span class="_ _9"></span>of <span class="_ _a"></span>axial <span class="_ _9"></span>compression <span class="_ _9"></span>was <span class="_ _9"></span>carried <span class="_ _9"></span>out <span class="_ _a"></span>using<span class="_ _4"></span> <span class="_ _9"></span>Abaqus. <span class="_ _a"></span>And </div><div class="t m0 x2 h2 y18 ff3 fs0 fc0 sc0 ls0 ws0">the simulation results show a good agreement with the experimental measurements. </div><div class="t m0 x2 hc y19 ff5 fs0 fc0 sc0 ls0 ws0">Key words: <span class="_"> </span> <span class="_"> </span><span class="ff3">Steel fiber; concrete; axial compression curve; 3D model; numerical simulation</span> </div><div class="t m0 x2 h2 y1a ff3 fs0 fc0 sc0 ls0 ws0"> </div><div class="t m0 x3 hd y1b ff1 fs0 fc0 sc0 ls0 ws0">混凝土作为一种廉价的建筑材料，以其抗压强度高、<span class="_ _0"></span>抗变形能力强、<span class="_ _0"></span>密度大、<span class="_ _0"></span>孔隙率低的优越性，建</div><div class="t m0 x2 hd y1c ff1 fs0 fc0 sc0 ls0 ws0">筑结构、<span class="_ _0"></span>桥梁结构以及某些特种结构中得到广泛的应用。<span class="_ _0"></span>但在外部荷载作用下，<span class="_ _0"></span>混凝土结构通常发生脆性</div><div class="t m0 x2 hd y1d ff1 fs0 fc0 sc0 ls0 ws0">破坏，<span class="_ _0"></span>随着混凝土强度的提高，<span class="_ _0"></span>其脆性显著增大。<span class="_ _0"></span>改善混凝土的韧性变得尤其重要。钢纤维作为一种新型</div><div class="t m0 x2 hd y1e ff1 fs0 fc0 sc0 ls0 ws0">的混凝土增强材料，<span class="_ _0"></span>具有良好的相容性和优越的力学性能。<span class="_ _b"></span>加入混凝土中的纤维能够阻止混凝土内部裂纹</div><div class="t m0 x2 h2 y1f ff1 fs0 fc0 sc0 ls0 ws0">的产生和发展，提高混凝土的韧性，改善混凝土结构的变形和抗震性能。经常加入钢纤维来增加其韧性。<span class="_ _c"></span><span class="ff3"> </span></div><div class="t m0 x3 hd y20 ff1 fs0 fc0 sc0 ls5 ws0">目前钢纤维混凝土已广泛的用于实际建筑工程中，国内外学者也对其进行的大量的研究</div><div class="t m0 xf he y21 ff3 fs6 fc0 sc0 ls6 ws0">[1</div><div class="t m0 x10 hf y22 ff1 fs7 fc0 sc0 ls0 ws0">―</div><div class="t m0 x11 he y21 ff3 fs6 fc0 sc0 ls7 ws0">3]</div><div class="t m0 x12 hd y20 ff1 fs0 fc0 sc0 ls0 ws0">，包括钢</div><div class="t m0 x2 hd y23 ff1 fs0 fc0 sc0 ls0 ws0">纤维活性粉末混凝土等</div><div class="t m0 x13 he y24 ff3 fs6 fc0 sc0 ls6 ws0">[4</div><div class="t m0 x14 hf y25 ff1 fs7 fc0 sc0 ls0 ws0">―</div><div class="t m0 x15 he y24 ff3 fs6 fc0 sc0 ls7 ws0">5]</div><div class="t m0 x16 h2 y23 ff1 fs0 fc0 sc0 ls0 ws0">。例如<span class="_ _d"> </span><span class="ff3">Johnston<span class="_ _d"> </span></span>研究了钢纤维对砂浆和混凝土的力学性能的影响及评价，发现</div><div class="t m0 x2 hd y26 ff1 fs0 fc0 sc0 ls0 ws0">钢纤维对混凝土的抗压强度影响不大，可以显著改善混凝土抗弯性能</div><div class="t m0 x17 he y27 ff3 fs6 fc0 sc0 ls0 ws0">[6]</div><div class="t m0 x18 h2 y26 ff1 fs0 fc0 sc0 ls0 ws0">；<span class="ff3">Bayasi<span class="_ _3"> </span></span>等研究了钢纤维对新拌混</div><div class="t m0 x2 hd y28 ff1 fs0 fc0 sc0 ls0 ws0">凝土混合性能，发现弯曲的钢纤维比直纤维更容易引入更多的空气</div><div class="t m0 x19 he y29 ff3 fs6 fc0 sc0 ls0 ws0">[7]</div><div class="t m0 x1a h2 y28 ff1 fs0 fc0 sc0 ls0 ws0">；<span class="ff3">Snyder<span class="_ _e"> </span></span>等研究了钢纤维混凝土，砂</div><div class="t m0 x2 hd y2a ff1 fs0 fc0 sc0 ls0 ws0">浆的抗弯强度，<span class="_ _f"></span>发现钢纤维可以提供显著改善混凝土和砂浆的抗弯强度性能</div><div class="t m0 x1b he y2b ff3 fs6 fc0 sc0 ls0 ws0">[8]</div><div class="t m0 x1c h2 y2a ff1 fs0 fc0 sc0 ls0 ws0">；<span class="_ _f"></span><span class="ff3">Narayanan<span class="_"> </span><span class="ff1">研究了钢纤维抗</span></span></div><div class="t m0 x2 hd y2c ff1 fs0 fc0 sc0 ls0 ws0">剪加固效果，<span class="_ _10"></span>并提出了评价纤维混凝土梁开裂剪切强度和极限抗剪强度的预测方程</div><div class="t m0 x1d he y2d ff3 fs6 fc0 sc0 ls0 ws0">[9]</div><div class="t m0 x1e hd y2c ff1 fs0 fc0 sc0 ls0 ws0">。<span class="_ _10"></span>但在细观模拟方面，</div><div class="t m0 x2 hd y2e ff1 fs0 fc0 sc0 ls0 ws0">研究大都还停留在素混凝土的细观数值模拟，<span class="_ _b"></span>对于素混凝土的细观数值模拟，<span class="_ _0"></span>目前建模方法主要有格构模</div><div class="c x0 y6 w2 h7"><div class="t m0 x2 h10 y2f ff6 fs4 fc0 sc0 ls8 ws0"> </div></div><div class="t m0 x1f h10 y2f ff6 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x2 h9 y30 ff1 fs5 fc0 sc0 ls0 ws0">基金项目：国家自然科学基金<span class="ff3">(51678011)</span>；北京市自然科学基金<span class="ff3">(8162005)</span>；北京市属高等学校高层次人才引进与培养计划项目<span class="ff3">(CIT&TCD20150310) </span></div><div class="t m0 x2 h9 y31 ff1 fs5 fc0 sc0 ls0 ws0">作者简介：李<span class="ff3 ls9"> </span>悦<span class="ff3">(1972</span>—<span class="ff3">)</span>，男，河北人，教授，博士，博导，主要从事建筑材料与加固研究<span class="ff3 lsa">(E<span class="ls0">-mail<span class="lsb">: </span>liyue@bjut.edu.cn)</span></span>；<span class="ff3"> </span></div><div class="t m0 x20 h9 y32 ff3 fs5 fc0 sc0 ls0 ws0">*<span class="ff1">李亚强</span>(1992<span class="ff1">—</span>)<span class="ff1">，男，河南人，博士生，主要从事建筑材料与加固研究</span><span class="lsa">(E</span>-mail<span class="lsb">: </span>yaqiangli@163.com). </div><a class="l" rel='nofollow' onclick='return false;'><div class="d m1"></div></a></div><div class="pi" data-data='{"ctm":[1.611792,0.000000,0.000000,1.611792,0.000000,0.000000]}'></div></div> </body> </html>

<div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/62536c5474bc5c0105f8093d/bg2.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">•Ⅰ<span class="ff2">-<span class="ff3">205</span></span>•<span class="ff2"> </span></div><div class="t m0 x2 hd y33 ff1 fs0 fc0 sc0 ls0 ws0">型</div><div class="t m0 x21 he y34 ff3 fs6 fc0 sc0 ls0 ws0">[10]</div><div class="t m0 xa hd y33 ff1 fs0 fc0 sc0 ls0 ws0">，随机<span class="_ _4"></span>粒子模型</div><div class="t m0 x22 he y34 ff3 fs6 fc0 sc0 ls0 ws0">[11]</div><div class="t m0 x23 hd y33 ff1 fs0 fc0 sc0 ls0 ws0">，随机骨<span class="_ _4"></span>料模型</div><div class="t m0 x24 he y34 ff3 fs6 fc0 sc0 ls0 ws0">[12</div><div class="t m0 x25 hf y35 ff1 fs7 fc0 sc0 ls0 ws0">―</div><div class="t m0 x26 he y34 ff3 fs6 fc0 sc0 ls7 ws0">13]</div><div class="t m0 x27 hd y33 ff1 fs0 fc0 sc0 ls0 ws0">等。而对<span class="_ _4"></span>于钢纤维<span class="_ _4"></span>混凝土<span class="_ _4"></span>的细观数<span class="_ _4"></span>值模型<span class="_ _4"></span>研究相<span class="_ _4"></span>对较少，<span class="_ _4"></span>本</div><div class="t m0 x2 h2 y36 ff1 fs0 fc0 sc0 ls0 ws0">文<span class="_ _4"></span>将<span class="_ _4"></span>钢<span class="_ _4"></span>纤<span class="_ _4"></span>维<span class="_ _4"></span>混<span class="_ _4"></span>凝<span class="_ _4"></span>土<span class="_ _4"></span>简<span class="_ _4"></span>化<span class="_ _4"></span>为<span class="_ _4"></span>混<span class="_ _a"></span>凝土<span class="_ _4"></span>基<span class="_ _4"></span>体<span class="_ _a"></span>和<span class="_ _4"></span>纤<span class="_ _4"></span>维<span class="_ _4"></span>两<span class="_ _4"></span>相<span class="_ _4"></span>复<span class="_ _4"></span>合<span class="_ _4"></span>材<span class="_ _4"></span>料<span class="_ _4"></span>，<span class="_ _4"></span>基<span class="_ _4"></span>于<span class="_ _11"> </span><span class="ff3">Matlab<span class="_ _12"> </span></span>软件<span class="_ _a"></span>对其<span class="_ _4"></span>进<span class="_ _4"></span>行<span class="_ _a"></span>数<span class="_ _4"></span>值<span class="_ _4"></span>建<span class="_ _4"></span>模<span class="_ _4"></span>，<span class="_ _4"></span>采<span class="_ _4"></span>用</div><div class="t m0 x2 h2 y37 ff3 fs0 fc0 sc0 ls0 ws0">Abaqus<span class="_"> </span><span class="ff1">软件进行轴压数值模拟并与试验结果相比较，为今后钢纤维混凝土细观数值模拟发展提供帮助。</span> </div><div class="t m0 x2 h5 y38 ff3 fs3 fc0 sc0 ls0 ws0">1 <span class="_"> </span> <span class="_"> </span><span class="ff4">试<span class="ls5">验研究</span></span> </div><div class="t m0 x2 h2 y39 ff3 fs0 fc0 sc0 ls0 ws0">1<span class="lsb">.1<span class="lsc"> </span></span><span class="ff4">原材料与配合比</span> </div><div class="t m0 x3 h2 y3a ff1 fs0 fc0 sc0 ls0 ws0">试验采用的水泥为<span class="_ _13"> </span><span class="ff3">42.5<span class="_"> </span></span>普通硅酸盐水泥；<span class="_ _b"></span>粉煤灰采用一级粉煤灰；<span class="_ _b"></span>碎石为粒径<span class="_ _13"> </span><span class="ff3">5~25mm</span>、<span class="_ _c"></span>连续<span class="_ _4"></span>级配的</div><div class="t m0 x2 h2 y3b ff1 fs0 fc0 sc0 ls0 ws0">碎石；砂为级配良好的中砂，<span class="_ _0"></span>细度模数<span class="_ _13"> </span><span class="ff3">2.64</span>。<span class="_ _0"></span>钢纤维为端钩型钢纤维。<span class="_ _0"></span>外加剂为聚羧酸高效减水剂。钢纤</div><div class="t m0 x2 h2 y3c ff1 fs0 fc0 sc0 ls0 ws0">维的物理力学性能见表<span class="_ _3"> </span><span class="ff3">1</span>。混凝土水胶比为<span class="_ _d"> </span><span class="ff3">0.3</span>；钢纤维体积掺量分别为<span class="_ _3"> </span><span class="ff3">0</span>、<span class="ff3">0.8%</span>、<span class="ff3 lsd">1%</span>、<span class="ff3">1.2%</span>。具体配合</div><div class="t m0 x2 h2 y3d ff1 fs0 fc0 sc0 ls0 ws0">比设计见表<span class="_ _13"> </span><span class="ff3">2<span class="_"> </span></span>所示。<span class="ff3"> </span></div><div class="t m0 x28 h2 y3e ff4 fs0 fc0 sc0 ls0 ws0">表<span class="_ _13"> </span><span class="ff3 ls7">1 <span class="_"> </span><span class="ls0"> <span class="_"> </span></span></span>钢纤维物理与力学性能<span class="ff3"> </span></div><div class="c x2 y3f w3 h11"><div class="t m0 x29 h3 y40 ff1 fs1 fc0 sc0 ls0 ws0">名称<span class="ff3"> </span></div></div><div class="c x2a y3f w4 h11"><div class="t m0 x2b h3 y40 ff1 fs1 fc0 sc0 ls0 ws0">长度<span class="ff3">/mm </span></div></div><div class="c x2c y3f w5 h11"><div class="t m0 x2d h3 y40 ff1 fs1 fc0 sc0 ls0 ws0">密度<span class="ff3">/(g/cm</span></div><div class="t m0 x2e h12 y41 ff3 fs8 fc0 sc0 ls0 ws0">3</div><div class="t m0 x2f h3 y40 ff3 fs1 fc0 sc0 ls0 ws0">) </div></div><div class="c x30 y3f w6 h11"><div class="t m0 x2b h3 y40 ff1 fs1 fc0 sc0 ls0 ws0">直径<span class="ff3">/mm </span></div></div><div class="c x31 y3f w7 h11"><div class="t m0 x32 h3 y40 ff1 fs1 fc0 sc0 ls0 ws0">弹性模量<span class="ff3">/GPa </span></div></div><div class="c x33 y3f w8 h11"><div class="t m0 x34 h3 y40 ff1 fs1 fc0 sc0 ls0 ws0">抗拉强度<span class="ff3">/MPa </span></div></div><div class="c x2 y42 w3 h13"><div class="t m0 x35 h3 y43 ff1 fs1 fc0 sc0 ls0 ws0">钢纤维<span class="ff3"> </span></div></div><div class="c x2a y42 w4 h13"><div class="t m0 x36 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">36 </div></div><div class="c x2c y42 w5 h13"><div class="t m0 x37 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">7.8 </div></div><div class="c x30 y42 w6 h13"><div class="t m0 x38 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">0.75 </div></div><div class="c x31 y42 w7 h13"><div class="t m0 x39 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">210 </div></div><div class="c x33 y42 w8 h13"><div class="t m0 x29 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">1200 </div></div><div class="t m0 x3a h2 y45 ff4 fs0 fc0 sc0 ls0 ws0">表<span class="_ _13"> </span><span class="ff3 ls7">2 <span class="_"> </span><span class="ls0"> <span class="_"> </span></span></span>混凝土配合比<span class="ff3"> </span></div><div class="c x2 y46 w9 h14"><div class="t m0 x3b h3 y47 ff1 fs1 fc0 sc0 ls0 ws0">编号<span class="ff3"> </span></div></div><div class="c x3c y46 wa h14"><div class="t m0 x3d h3 y47 ff1 fs1 fc0 sc0 ls0 ws0">水泥<span class="ff3">/(kg/m</span></div><div class="t m0 x3e h12 y48 ff3 fs8 fc0 sc0 ls0 ws0">3</div><div class="t m0 x3f h3 y47 ff3 fs1 fc0 sc0 ls0 ws0">) </div></div><div class="c x40 y46 wb h14"><div class="t m0 x41 h3 y47 ff1 fs1 fc0 sc0 ls0 ws0">粉煤灰<span class="ff3">/(kg/m</span></div><div class="t m0 x2 h12 y48 ff3 fs8 fc0 sc0 ls0 ws0">3</div><div class="t m0 x42 h3 y47 ff3 fs1 fc0 sc0 ls0 ws0">) </div></div><div class="c x43 y46 wc h14"><div class="t m0 x3d h3 y47 ff1 fs1 fc0 sc0 ls0 ws0">砂子<span class="ff3">/(kg/m</span></div><div class="t m0 x3e h12 y48 ff3 fs8 fc0 sc0 ls0 ws0">3</div><div class="t m0 x3f h3 y47 ff3 fs1 fc0 sc0 ls0 ws0">) </div></div><div class="c x44 y46 wd h14"><div class="t m0 x3d h3 y47 ff1 fs1 fc0 sc0 ls0 ws0">石子<span class="ff3">/(kg/m</span></div><div class="t m0 x3e h12 y48 ff3 fs8 fc0 sc0 ls0 ws0">3</div><div class="t m0 x3f h3 y47 ff3 fs1 fc0 sc0 ls0 ws0">) </div></div><div class="c x45 y46 we h14"><div class="t m0 x46 h3 y47 ff1 fs1 fc0 sc0 ls0 ws0">水<span class="ff3">/(kg/m</span></div><div class="t m0 x47 h12 y48 ff3 fs8 fc0 sc0 ls0 ws0">3</div><div class="t m0 x48 h3 y47 ff3 fs1 fc0 sc0 ls0 ws0">) </div></div><div class="c x49 y46 wb h14"><div class="t m0 x41 h3 y47 ff1 fs1 fc0 sc0 ls0 ws0">减水剂<span class="ff3">/(kg/m</span></div><div class="t m0 x2 h12 y48 ff3 fs8 fc0 sc0 ls0 ws0">3</div><div class="t m0 x42 h3 y47 ff3 fs1 fc0 sc0 ls0 ws0">) </div></div><div class="c x4a y46 wf h14"><div class="t m0 x4b h3 y47 ff1 fs1 fc0 sc0 ls0 ws0">钢纤维体积掺量<span class="ff3">/<span class="lse">(%)</span> </span></div></div><div class="c x2 y49 w9 h13"><div class="t m0 x3d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">1-0 </div></div><div class="c x3c y49 wa h13"><div class="t m0 x2b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">350 </div></div><div class="c x40 y49 wb h13"><div class="t m0 x4c h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">150 </div></div><div class="c x43 y49 wc h13"><div class="t m0 x2b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">754 </div></div><div class="c x44 y49 wd h13"><div class="t m0 x4d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">1100 </div></div><div class="c x45 y49 we h13"><div class="t m0 x2d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">150 </div></div><div class="c x49 y49 wb h13"><div class="t m0 x4e h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">10 </div></div><div class="c x4a y49 wf h13"><div class="t m0 x4f h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">0 </div></div><div class="c x2 y4a w9 h13"><div class="t m0 x3b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">2-0.8 </div></div><div class="c x3c y4a wa h13"><div class="t m0 x2b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">347 </div></div><div class="c x40 y4a wb h13"><div class="t m0 x4c h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">149 </div></div><div class="c x43 y4a wc h13"><div class="t m0 x2b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">748 </div></div><div class="c x44 y4a wd h13"><div class="t m0 x4d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">1091 </div></div><div class="c x45 y4a we h13"><div class="t m0 x2d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">149 </div></div><div class="c x49 y4a wb h13"><div class="t m0 x35 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">9.92 </div></div><div class="c x4a y4a wf h13"><div class="t m0 x50 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">0.8 </div></div><div class="c x2 y11 w9 h13"><div class="t m0 x3d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">3-1 </div></div><div class="c x3c y11 wa h13"><div class="t m0 x2b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">347 </div></div><div class="c x40 y11 wb h13"><div class="t m0 x4c h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">149 </div></div><div class="c x43 y11 wc h13"><div class="t m0 x2b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">746 </div></div><div class="c x44 y11 wd h13"><div class="t m0 x4d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">1089 </div></div><div class="c x45 y11 we h13"><div class="t m0 x2d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">149 </div></div><div class="c x49 y11 wb h13"><div class="t m0 x51 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">9.9 </div></div><div class="c x4a y11 wf h13"><div class="t m0 x4f h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">1 </div></div><div class="c x2 y4b w9 h13"><div class="t m0 x3b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">4-1.2 </div></div><div class="c x3c y4b wa h13"><div class="t m0 x2b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">346 </div></div><div class="c x40 y4b wb h13"><div class="t m0 x4c h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">148 </div></div><div class="c x43 y4b wc h13"><div class="t m0 x2b h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">745 </div></div><div class="c x44 y4b wd h13"><div class="t m0 x4d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">1087 </div></div><div class="c x45 y4b we h13"><div class="t m0 x2d h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">148 </div></div><div class="c x49 y4b wb h13"><div class="t m0 x35 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">9.88 </div></div><div class="c x4a y4b wf h13"><div class="t m0 x50 h3 y44 ff3 fs1 fc0 sc0 ls0 ws0">1.2 </div></div><div class="t m0 x2 h2 y4c ff3 fs0 fc0 sc0 ls0 ws0">1<span class="lsb">.2<span class="lsc"> </span></span><span class="ff4">受压应力应变全曲线</span> </div><div class="t m0 x3 h2 y4d ff1 fs0 fc0 sc0 ls0 ws0">采用<span class="_ _e"> </span><span class="ff3">100×<span class="_ _10"></span>100×<span class="_ _f"></span>300mm<span class="_ _e"> </span><span class="ff1">的棱柱体试块轴压测试受压应力应变全曲线，试验加载如图<span class="_ _14"> </span></span>1<span class="_ _e"> </span><span class="ff1">所示，加载速率</span></span></div><div class="t m0 x2 h2 y4e ff1 fs0 fc0 sc0 ls0 ws0">为<span class="_ _13"> </span><span class="ff3">0.5mm/min.</span>各编号混凝土的轴心应力应变曲线如图<span class="_ _13"> </span><span class="ff3">2<span class="_"> </span></span>所示。<span class="ff3"> </span></div><div class="c x52 y4f w10 h15"><div class="t m2 x3e h16 y50 ff7 fs9 fc0 sc0 ls0 ws0">0.000<span class="_ _15"> </span>0.005<span class="_ _15"> </span>0.010<span class="_ _15"> </span>0.015<span class="_ _15"> </span>0.020<span class="_ _15"> </span>0.025<span class="_ _15"> </span>0.030</div><div class="t m2 x36 h16 y51 ff7 fs9 fc0 sc0 ls0 ws0">0</div><div class="t m2 x29 h16 y52 ff7 fs9 fc0 sc0 lsf ws0">10</div><div class="t m2 x29 h16 y53 ff7 fs9 fc0 sc0 lsf ws0">20</div><div class="t m2 x29 h16 y54 ff7 fs9 fc0 sc0 lsf ws0">30</div><div class="t m2 x29 h16 y55 ff7 fs9 fc0 sc0 lsf ws0">40</div><div class="t m3 x29 h17 y56 ff3 fsa fc0 sc0 ls0 ws0">Stress/MPa</div><div class="t m2 x53 h18 y57 ff3 fsb fc0 sc0 ls0 ws0">Strain</div><div class="t m2 x54 h19 y58 ff3 fs9 fc0 sc0 ls0 ws0"> 1-0</div><div class="t m2 x54 h19 y59 ff3 fs9 fc0 sc0 ls0 ws0"> 2-0.8</div><div class="t m2 x54 h19 y5a ff3 fs9 fc0 sc0 ls0 ws0"> 3-1</div><div class="t m2 x54 h19 y5b ff3 fs9 fc0 sc0 ls0 ws0"> 4-1.2</div></div><div class="t m0 x55 h8 y5c ff3 fs4 fc0 sc0 ls0 ws0"> </div><div class="t m0 x56 h3 y5d ff1 fs1 fc0 sc0 ls0 ws0">图<span class="_ _6"> </span><span class="ff3">1 <span class="_"> </span> <span class="_"> </span></span>轴压全曲线加载图<span class="ff3 ls2"> </span>图<span class="_ _13"> </span><span class="ff3">2 <span class="_"> </span> <span class="_"> </span></span>各试样轴压应力应变全曲线<span class="ff3"> </span></div><div class="t m0 x3 h2 y5e ff1 fs0 fc0 sc0 ls0 ws0">由图<span class="_ _13"> </span><span class="ff3">2<span class="_"> </span></span>可以看出，<span class="_ _c"></span>钢纤维的掺入只能微弱的提高混凝土的轴心抗压强度，<span class="_ _b"></span>效果不明显</div><div class="t m0 x57 he y5f ff3 fs6 fc0 sc0 ls0 ws0">[14]</div><div class="t m0 x58 hd y5e ff1 fs0 fc0 sc0 ls0 ws0">，<span class="_ _c"></span>但<span class="_ _4"></span>曲线到达</div><div class="t m0 x2 hd y60 ff1 fs0 fc0 sc0 ls0 ws0">峰值点后，<span class="_ _0"></span>混凝土基体微裂纹迅速扩展，<span class="_ _0"></span>承载力出现一定的骤降，<span class="_ _0"></span>此时钢纤维发挥桥接裂纹作用，阻止裂</div><div class="t m0 x2 h2 y61 ff1 fs0 fc0 sc0 ls0 ws0">纹进一步扩展和延伸，<span class="_ _0"></span>承载力缓慢下降，<span class="_ _0"></span>曲线变平缓，<span class="_ _0"></span>由图<span class="_ _13"> </span><span class="ff3">2<span class="_"> </span></span>可以看出随着纤维掺量的增加，曲线下降段</div><div class="t m0 x2 h2 y62 ff1 fs0 fc0 sc0 ls0 ws0">逐渐变缓，相应的混凝土的残余强度逐渐提升。<span class="ff3"> </span></div><div class="t m0 x2 h5 y63 ff3 fs3 fc0 sc0 ls0 ws0">2 <span class="_"> </span> <span class="_"> </span><span class="ff4 ls5">数值模拟</span> </div><div class="t m0 x2 h2 y64 ff3 fs0 fc0 sc0 ls0 ws0">2.1 <span class="_"> </span> <span class="_"> </span><span class="ff4">钢纤维混凝土三维数值建模</span> </div><div class="t m0 x3 hd y65 ff1 fs0 fc0 sc0 ls0 ws0">将钢<span class="_ _4"></span>纤<span class="_ _4"></span>维<span class="_ _4"></span>混<span class="_ _4"></span>凝<span class="_ _4"></span>土<span class="_ _4"></span>为<span class="_ _4"></span>假<span class="_ _4"></span>设钢<span class="_ _4"></span>纤<span class="_ _4"></span>维<span class="_ _4"></span>混<span class="_ _4"></span>凝<span class="_ _4"></span>土是<span class="_ _4"></span>有<span class="_ _4"></span>钢<span class="_ _4"></span>纤<span class="_ _4"></span>维<span class="_ _4"></span>和<span class="_ _4"></span>混<span class="_ _4"></span>凝<span class="_ _4"></span>土基<span class="_ _4"></span>体<span class="_ _4"></span>两<span class="_ _4"></span>部<span class="_ _4"></span>分<span class="_ _4"></span>组成<span class="_ _4"></span>，<span class="_ _4"></span>采<span class="_ _4"></span>用<span class="_ _4"></span>线<span class="_ _4"></span>单<span class="_ _4"></span>元<span class="_ _4"></span>对<span class="_ _4"></span>钢纤<span class="_ _4"></span>维<span class="_ _4"></span>建</div></div><div class="pi" data-data='{"ctm":[1.611792,0.000000,0.000000,1.611792,0.000000,0.000000]}'></div></div>