1、abaqus有限元分析简支梁解析1.梁C的主要参数:其中:梁长3000mm,高为406mm,上下部保护层厚度为38mm,纵筋端部保护层厚度为25mm抗压强度:35.1MPa抗拉强度:2.721MPa受拉钢筋为2Y16,受压钢筋为2Y9.5,屈服强度均为440MPa箍筋:Y7102,屈服强度为596MPa2.混凝土及钢筋的本构关系1、运用陈光明老师的论文(Chen et al. 2011)来确定混凝土的本构关系:受压强度:其中=28020,2、受压强度与开裂位移的相互关系:其中3、损伤因子:其中 e=10(选取网格为10mm)4、钢筋取理想弹塑性5、名义应力应变和真实应力及对数应变的转换:6、混
2、凝土最终输入的本构关系如下:compressive behaviortensile behaviortension damageyield stressinelastic strainyield stressdisplacementparameterdisplacement21.5027403602.72100025.563592812.72247E-052.6835568820.00031290.187664920.000312928.884773368.85105E-052.6466283190.00062580.319026090.000625831.435018840.00017727
3、82.6102105080.00093870.416069330.000938733.249515370.0002922712.5742995620.00125160.490652370.001251634.407876730.0004306482.5388915150.00156450.549734630.001564535.012031810.0005887722.5039823270.00187740.59766980.001877435.168721060.0007628332.469567890.00219030.637320970.002190334.978055480.00094
4、92592.4356440290.00250320.670648270.002503234.527492040.0011449282.4022065120.00281610.699038850.002816133.889736490.0013472452.3692510480.0031290.723501940.00312933.173508980.0015411852.3367732940.00344190.744789410.003441932.381735080.0017377922.304768860.00375480.763472840.003754831.5436769330.68
5、1617990.0019360230.0021350822.273233312.2421621670.00406770.00438060.779994510.794702050.00406770.004380629.812239710.0023343742.2115509160.00469350.80787240.004693528.947808230.0025334612.1813950110.00500640.819728980.005006428.097158680.0027320282.1516898710.00531930.830453970.005319327.266490410.
6、0029298542.122430890.00563220.840197450.005632226.459997920.0031267882.0936134360.00594510.849084130.005945125.680364580.0033227362.0652328570.0062580.857218520.00625824.92914530.0035176411.8115297940.009294840.910442310.0092948424.207060880.0037114781.5942285570.012331680.938747480.0123316823.51422
7、2920.0039042441.4090741380.015368520.955771450.0153685222.850304860.0040959491.2519898770.018405360.966807250.0184053622.214671440.0042866161.1191646860.02144220.974332780.021442221.606476160.0044762761.0071042620.024479040.979657640.0244790421.024734250.0046649630.9126557650.027515880.983535050.027
8、5158819.466151990.0052111360.833013350.030552720.986425830.0305527218.096495730.0057503250.765710270.033589560.988625330.0335895616.889240560.0062834790.708601940.03662640.990329810.036626415.820798970.0068114380.6598432810.039663240.991673390.0396632414.870922570.0073349260.6178628260.042700080.992
9、74980.0427000814.02251450.0078545530.5813354270.045736920.993625740.0457369213.261240680.0083708310.5491548630.048773760.99434940.0487737612.575106340.0088841880.5204072880.05181060.9949560.051810611.954064090.0093949840.4943461110.054847440.995471540.0548474411.389674850.0099035180.4703687070.05788
10、4280.995915420.0578842810.87482430.0104100470.4479951660.060921120.99630220.0609211210.403489570.0109147840.4268491510.063957960.996642880.063957969.9705488860.0114179130.4066408760.06699480.996945860.06699489.5716268130.011919590.3871521190.070031640.997217570.070031649.2029683920.012419950.3682231
11、540.073068480.997462980.073068488.8613366970.0129191080.3497414790.076105320.997685950.076105328.5439291790.0134171640.3316321530.079142160.997889540.079142168.2483091390.0139142060.3138496230.0821790.998076150.0821797.9723493610.014410310.2963708440.085215840.998247730.085215847.7141855790.01490554
12、20.2791895620.088252680.998405860.088252687.4721778770.0153999620.2623116130.091289520.998551850.091289527.2448785520.0158936210.2457510870.094326360.998686780.094326367.031005230.0163865650.2295272570.09736320.998811580.09736326.8294182890.0168788350.213662150.100400040.998927060.100400046.63910182
13、90.0173704680.198178660.103436880.999033930.103436886.4591475480.0178614960.1830991140.106473720.999132810.106473726.288741050.0183519480.1684442240.109510560.999224270.109510566.1271501560.0188418510.1542323470.11254740.999308830.11254745.9737149020.0193312290.1404789960.115584240.999386950.1155842
14、45.8278389465.6889821540.0198201040.0203084930.1271965570.114394170.118621080.121657920.999459090.999525640.118621080.121657925.5566541950.0207964170.1020777240.124694760.9995870.124694765.4304089830.0212838890.090249960.12773160.999643520.12773165.3098398350.0217709270.0789106320.130768440.99969553
15、0.130768445.1945752520.0222575410.0680567270.133805280.999743350.133805280.0576827050.136842120.999787290.136842120.0477807710.139878960.999827630.139878960.0383411460.14291580.999864610.14291580.029352340.145952640.999898510.145952643.建模过程1、Part 梁和垫块选择shell,钢筋选择wire2、Property混凝土:density以及Elastic的数值
16、参考老师的论文Concrete damaged plasticity:数值为前面的本构关系值。粘性参数取0.0005截面的定义: 梁及垫块类型选择均质实体,钢筋类型选择桁架箍筋被赋予截面属性:3、Assembly4、Step建立名为Step-1的分析步5、Interaction 约束有几种情况a.对垫块与梁的相互作用,选择tieb.参考点的相互作用,选择couplingc.对钢筋整体与梁的相互作用,选择embedded region约束后的效果图:6、Load各分析步设置过程:加载方式采用位移加载,对模型进行过 “-12”“-10”“-7”“-5”的加载对于下垫块的约束为约束垫块中点的Y轴(选
17、择U2),梁右边约束X轴(选择U1)。约束后的梁示意图:8、Mesh 先对梁结构形式进行转变:进行布种:划分网格后效果图:对钢筋骨架形式进行修改:9、Job提交工作过程:4.结果输出位移加载值为-10mm,单元为10mm时的结果:不使用混凝土“粘性参数”时生成的裂缝:使用混凝土粘性参数=0.0005时生成的裂缝:荷载-位移图:受拉区混凝土应力-应变图:受压区混凝土应力-应变图:箍筋应力-应变图:受拉钢筋应力-应变图:受压钢筋应力-应变图:5.心得体会:经过两个月的学习,对于abaqus有了初步的认识,熟悉了大概的操作。从刚开始按照参考书上的三维案例自己建模,熟悉操作过程,到自己摸索二维建模,和
18、同学讨论中间遇到的各种问题,让我对abaqus有了更深入的认识,了解到了abaqus计算能力的强大,也为以后继续学习abaqus打下了基础。在这里谈谈自己的一些心得体会,通过以上的学习和老师上课的讲解,让我了解到力学基础知识的重要性,尤其是老师的讲解,对力学基本问题的分析,使我认识到自己本科学习的知识是很浅显的,这里还有非常多我不了解的知识,未来可以慢慢学习研究。对于abaqus的本构关系中,输入的各种应力应变值、损伤因子等,也是以前没有深入了解过的。在确定本构关系后,我对于各种位移加载值和不同的网格进行了20多次计算,位移加载值从-5mm到-20mm都进行过计算,最初总是input文件出错,在调整过多次模型后,还是出错,在最终调整了多次本构数值后才能计算。然后计算也多次不收敛,在刘迪同学的帮助下,添加了粘性参数后,计算才收敛。继续计算了多次,尝试了不同的位移加载值,才使得受拉筋屈服。对于建模及之后计算过程中遇到的问题,要感谢陈老师、刘迪、罗若帆及王道耀同学的帮助和指导。通过此次作业,让我有机会能接触到abaqus这种有限元软件,并且指明了以后的专业学习和abaqus学习的方向。
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