混凝土本构数据学习资料

1、附录一动力弹塑性分析的材料非线性参数取值一混凝土材料 :混凝土材料采用塑性损伤模型(Plastic-Damaged Model)(1).C25, C30, C35, C40, C45, C50, C55, C60, C65, C70, C75, C80(1) 弹性模量 :按 (2)表单位 kN/m 2表 1 弹性模量C25C30C35C40C45C502.8E73E73.15E73.25E73.35E73.25E7C55C60C65C70C75C803.55E73.6E73.65E73.7E73.75E73.8E7(2) 泊松比 , 统一取 0.2 (参阅 (2)的(3) 剪切模量 : 按 (

2、2)表中的 0.4 倍采用 (参阅 (2)的(4) 密度 (2): 2.5 T/m3(5) 单轴应力 -应变关系混凝土材料轴心抗压和轴心抗拉强度标准值按(2)表 4.1.3 采用 .A: 单轴受压 , 其应力 -应变关系方程如下 (参阅 (2)当 x 1 时y (3 2 ) x2( 2)x 3aaa当 x1时yxd (x 1)2xxcyfc在 0 0.7fc 的应力范围为线弹性 , 其弹性模量按表 1. 大于 0.7fc 为塑性范围 , 应力 -塑性应变关系如下 :incccE0B: 单轴受拉 , 其应力 -应变关系方程如下 (参阅当 x 1 时y1.2x0.2x6当 x1时yxt( x 1)

3、 1.7xxtyft在 0 ft 的应力范围为线弹性 , 其弹性模量按表 1. 大于 ft 为塑性范围 , 应力 -塑性应变关系如下 :cktttE0据此得到下列各等级混凝土材料在拉和压屈服后的应力 (kN/m 2)-塑性应变关系 :*Material, Name=C25*Concrete compression hardening应力 (kN/m 2)塑性应变11690.,016700.,0.00080869313239.8,0.002337399841.27,0.003863897674.36,0.00534646248.49,0.006802455255.01,0.00824305452

4、7.98,0.009674143974.73,0.0110993540.4,0.0125197*Concrete tension stiffening1797.8,01780.,0.0000255151191.06,0.000135635859.483,0.000236563684.527,0.000331898576.455,0.000424844502.469,0.000516573448.233,0.000607596406.519,0.000698173373.278,0.000788446131.57,0.00355876*Material, Name=C30*Concrete co

5、mpression hardening14070.,020100.,0.00080189814636.6,0.0024559110073.3,0.004079927500.85,0.005637565931.13,0.007161794889.86,0.008668394153.49,0.01016483607.,0.0116553186.09,0.0131409*Concrete tension stiffening2030.1,02010.,0.00002825631232.19,0.00014944849.073,0.000257466660.524,0.000359008548.371

6、,0.000458002473.404,0.000555757419.357,0.000652815378.298,0.00074944345.892,0.000845777118.271,0.00380631*Material, Name=C35*Concrete compression hardening16380.,023400.,0.00078943115814.6,0.0025625310267.4,0.004270927408.77,0.005893955749.74,0.007478914682.74,0.009045073943.69,0.01060083403.29,0.01

7、215032991.69,0.0136956*Concrete tension stiffening2222.,02200.,0.00003014271253.05,0.000160189834.315,0.000273466638.442,0.000379668524.938,0.000483255450.278,0.000585609397.041,0.000687284356.924,0.000788541325.457,0.000889524109.188,0.00399589*Material, Name=C40*Concrete compression hardening18760

8、.,026800.,0.00076481416909.7,0.0026585610469.9,0.004446147378.84,0.006130685650.07,0.00777334562.41,0.00939623819.83,0.01100853282.34,0.01261442876.02,0.0142164*Concrete tension stiffening2413.9,02390.,0.00003094221263.67,0.000170079815.537,0.000288349615.229,0.000398993501.733,0.000506966428.08,0.0

9、00613712376.039,0.000719794337.082,0.000825474306.681,0.00093089101.338,0.00417611*Material, Name=C45*Concrete compression hardening20720.,029600.,0.0007501517743.1,0.0027378210639.8,0.004583597386.84,0.006314435609.46,0.008001224506.18,0.009667883759.48,0.01132393222.27,0.01297372817.97,0.0146195*C

10、oncrete tension stiffening2535.1,02510.,0.00003230441265.87,0.000176673802.219,0.000297743600.343,0.000410999487.385,0.0005216414.624,0.000631002363.47,0.000739759325.314,0.000848128295.619,0.00095624496.8983,0.0042863*Material, Name=C50*Concrete compression hardening22680.,032400.,0.00073988518515.

11、2,0.0028213610800.8,0.004723987406.35,0.006501395586.72,0.008233144469.4,0.009944553718.4,0.01164533180.69,0.01333992777.43,0.0150306*Concrete tension stiffening2666.4,02640.,0.00003365911264.64,0.000183705786.735,0.000307738584.088,0.000423793472.094,0.00053722400.477,0.000649477350.37,0.0007611131

12、3.124,0.00087237284.214,0.00098338992.4472,0.00440455*Material, Name=C55*Concrete compression hardening24850.,035500.,0.0007274519297.,0.0029113210959.8,0.004873627429.12,0.006700535569.63,0.008480364439.05,0.01023973683.89,0.01198843145.52,0.0137312743.03,0.0154698*Concrete tension stiffening2767.4

13、,02740.,0.00003522171261.67,0.00018927774.457,0.000315399571.752,0.000433514460.697,0.000549047390.039,0.000663442340.767,0.000777235304.231,0.000890669275.923,0.0010038789.2809,0.00449368*Material, Name=C60*Concrete compression hardening26950.,038500.,0.00070060619978.3,0.0029851511087.9,0.00500215

14、7444.03,0.006873425552.82,0.0086964412.21,0.01049773654.2,0.01228883115.66,0.01407392714.07,0.0158551*Concrete tension stiffening2878.5,02850.,0.00003563831256.67,0.000194702760.756,0.000323283558.434,0.000443708448.564,0.000561565379.016,0.000678302330.681,0.000794449294.926,0.000910248267.272,0.00

15、10258286.0337,0.00458981*Material, Name=C65*Concrete compression hardening29050.,041500.,0.00067115420635.5,0.0030509211227.6,0.005116817477.58,0.007027695554.81,0.008888514402.81,0.01072823640.4,0.01255723100.27,0.01438022698.31,0.0161993*Concrete tension stiffening2959.3,02930.,0.00003624621252.05

16、,0.000198738750.74,0.000328992548.949,0.000451041440.021,0.000570546371.305,0.000688948323.655,0.000806774288.463,0.000924259261.278,0.0010415283.8153,0.00465851*Material, Name=C70*Concrete compression hardening31150.,044500.,0.00064117721274.9,0.0031127611377.9,0.005224137526.44,0.00717215571.79,0.

17、009068814407.16,0.01094423639.02,0.01280883096.11,0.01466742692.74,0.0165221*Concrete tension stiffening3019.9,02990.,0.0000369791248.1,0.000201847743.23,0.000333282541.959,0.000456512433.772,0.000577225365.689,0.000696855318.553,0.000815919283.779,0.000934649256.941,0.0010531682.2252,0.00470937*Mat

18、erial, Name=C75*Concrete compression hardening33180.,047400.,0.00061958321842.2,0.0031847111504.1,0.005343987565.26,0.007332595583.9,0.009269014408.93,0.01118393636.25,0.01308813091.21,0.01498622686.84,0.0168806*Concrete tension stiffening3080.5,03050.,0.00003771171243.9,0.000204919735.834,0.0003375

19、13535.156,0.000461909427.722,0.000583819360.269,0.000704663313.639,0.000824951279.275,0.000944913252.774,0.0010646680.7083,0.00475965*Material, Name=C80*Concrete compression hardening35140.,050200.,0.00060153922358.2,0.0032568111618.5,0.005462037601.82,0.007490325596.63,0.009465684412.34,0.011419436

20、35.46,0.01336253088.38,0.01529952683.,0.0172327*Concrete tension stiffening3141.1,03110.,0.00003844371239.38,0.000207956728.476,0.000341687528.471,0.000467236421.811,0.000590329354.989,0.000712373308.862,0.000833873274.904,0.000955052248.735,0.0010760379.2484,0.00480935(6) 损伤系数 :混凝土材料进入塑性状态伴随着刚度的降低,

21、 如下图示 (1):受拉受压文献 (3)Fig4. (a), (b) 给出了 混凝土材料单轴拉压的滞回曲线 . 该曲线已被实验和计算验证 . 通过线性插值 , 可以得到混凝土材料各塑性应变所对应的损伤系数如下 :*Material, Name=C25*Concrete compression damage损伤系数 (dc塑性应变)0,00.01,0.0008086930.207199,0.002337390.410702,0.003863890.540458,0.00534640.69718,0.006802450.78611,0.008243050.84114,0.009674140.877

22、465,0.0110990.902661,0.0125197*Concrete tension damage损伤系数 (dt)塑性应变0,00.01,0.0000255150.330864,0.0001356350.517144,0.0002365630.615434,0.0003318980.747045,0.0004248440.834016,0.0005165730.888637,0.0006075960.919064,0.0006981730.937999,0.0007884460.998225,0.00355876*Material, Name=C30*Concrete compre

23、ssion damage0,00.01,0.0008018980.271809,0.002455910.498841,0.004079920.626823,0.005637560.758068,0.007161790.830984,0.008668390.875447,0.01016480.904483,0.0116550.924462,0.0131409*Concrete tension damage0,00.01,0.00002825630.386973,0.000149440.577576,0.0002574660.671381,0.0003590080.78758,0.00045800

24、20.862336,0.0005557570.908476,0.0006528150.933922,0.000749440.949638,0.0008457770.998607,0.00380631*Material, Name=C35*Concrete compression damage0,00.01,0.0007894310.324164,0.002562530.561223,0.004270920.683386,0.005893950.796302,0.007478910.858328,0.009045070.89589,0.01060080.92031,0.01215030.9370

25、62,0.0136956*Concrete tension damage0,00.01,0.00003014270.430433,0.0001601890.620766,0.0002734660.709799,0.0003796680.814503,0.0004832550.880713,0.0005856090.921137,0.0006872840.943295,0.0007885410.956917,0.0008895240.998833,0.00399589*Material, Name=C40*Concrete compression damage0,00.01,0.00076481

26、40.369042,0.002658560.609331,0.004446140.72467,0.006130680.823245,0.00777330.877128,0.00939620.90969,0.01100850.930844,0.01261440.945352,0.0142164*Concrete tension damage0,00.01,0.00003094220.471266,0.0001700790.658771,0.0002883490.742582,0.0003989930.836523,0.0005069660.895279,0.0006137120.930952,0

27、.0007197940.95046,0.0008254740.962428,0.000930890.998995,0.00417611*Material, Name=C45*Concrete compression damage0,00.01,0.000750150.40057,0.002737820.640546,0.004583590.750445,0.006314430.840063,0.008001220.888862,0.009667880.918306,0.01132390.937422,0.01297370.950532,0.0146195*Concrete tension da

28、mage0,00.01,0.00003230440.495671,0.0001766730.680391,0.0002977430.760819,0.0004109990.849034,0.00052160.903712,0.0006310020.936711,0.0007397590.954691,0.0008481280.965692,0.0009562440.999092,0.0042863*Material, Name=C50*Concrete compression damage0,00.01,0.0007398850.428544,0.002821360.666642,0.0047

29、23980.771409,0.006501390.853722,0.008233140.898389,0.009944550.9253,0.01164530.942763,0.01333990.954738,0.0150306*Concrete tension damage0,00.01,0.00003365910.52097,0.0001837050.701994,0.0003077380.778754,0.0004237930.861159,0.000537220.911801,0.0006494770.942194,0.000761110.958699,0.000872370.96877

30、5,0.0009833890.999181,0.00440455*Material, Name=C55*Concrete compression damage0,00.01,0.000727450.456423,0.002911320.691273,0.004873620.790729,0.006700530.866219,0.008480360.907065,0.01023970.93165,0.01198840.947601,0.0137310.958541,0.0154698*Concrete tension damage0,00.01,0.00003522170.539536,0.00

31、0189270.717351,0.0003153990.791331,0.0004335140.869789,0.0005490470.91763,0.0006634420.946178,0.0007772350.961623,0.0008906690.971027,0.001003870.999246,0.00449368*Material, Name=C60*Concrete compression damage0,00.01,0.0007006060.481084,0.002985150.712003,0.005002150.806648,0.006873420.876252,0.008

32、6960.913899,0.01049770.936577,0.01228880.951309,0.01407390.961426,0.0158551*Concrete tension damage0,00.01,0.00003563830.559063,0.0001947020.733068,0.0003232830.804058,0.0004437080.877995,0.0005615650.922909,0.0006783020.949666,0.0007944490.964133,0.0009102480.972937,0.001025820.999299,0.00458981*Ma

33、terial, Name=C65*Concrete compression damage0,00.01,0.0006711540.502758,0.003050920.729456,0.005116810.819817,0.007027690.884515,0.008888510.919509,0.01072820.940612,0.01255720.95434,0.01438020.96378,0.0161993*Concrete tension damage0,00.01,0.00003624620.572681,0.0001987380.743775,0.0003289920.81264

34、5,0.0004510410.883611,0.0005705460.926569,0.0006889480.952106,0.0008067740.965898,0.0009242590.974284,0.001041520.999336,0.00465851*Material, Name=C70*Concrete compression damage0,00.01,0.0006411770.521912,0.003112760.744318,0.005224130.830867,0.00717210.891435,0.009068810.924204,0.01094420.943987,0.01280880.956872,0.01466740.965746,0.0165221*Concrete tension damage0,00.01,0.0000369790.582576,0.0002018470.751428,0.0003332820.818743,0.0004565120.887672,0.0005772250.929255,0.0006968550