混凝土本构数据

1、附录一动力弹塑性分析的材料非线性参数取值混凝土材料：混凝土材料采用塑性损伤模型(Plastic-Damaged Moddl).根据GB 50010-2002混凝土强度分类 如下：C25, C30, C35, C40, C45, C50, C55, C60, C65, C70, C75, C80(1)弹性模量:按表4.1.5,单位kN/m表1弹性模量C25C30C35C40C45C502.8E73E73.15E73.25E73.35E73.25E7C55C60C65C70C75C803.55E73.6E73.65E73.7E73.75E73.8E7 泊松比,统一取0.2参阅的4.1.8) 剪切模

2、量：按表中的0.4倍采用(参阅的4.1.8).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表采用.A：单轴受压,其应力-应变关系方程如下(参阅C.2.1, P206):23y a (3 2 aa)x(a 2)x当x 1时xy-«d (x 1) xexe(TyfT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：inB：单轴受拉,其应力-应变关系方程如下(参阅(2)C.2.2, P208):当x 1时y 1.2x0.2x6当x 1时xy17at(x 1) . xex ey V在

3、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：ck皿4£t E"匚0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/m2)-塑性应变关系：*Material, Name=C25*Con crete compressi on harde ning应力(kN/m 2)塑性应变11690.,016700.,0.00080869313239.8,0.002337399841.27,0.003863897674.36,0.00534646248.49,0.006802455255.01,0.008243054527.98,0.0

4、09674143974.73,0.0110993540.4,0.0125197*Con crete tension stiffe ning1797.8,01780.,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 compress

5、ion 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, 01232.19,0.00014944849.073,0.000257466660.524,0.000359008548.371,0.000458002473.404,0.0

6、00555757419.357,0.000652815378.298,0.00074944345.892,0.000845777118.271,0.003806312010.,0.0000282563*Material, Name=C35*Concrete compression hardening16380.,023400.,0.00078943115814.6,0.0025625310267.4,0.004270927408.77,0.005893955749.74,0.007478914682.74,0.009045073943.69,0.01060083403.29,0.0121503

7、2991.69,0.0136956*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.,026

8、800.,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.,0.00003094221263.67,0.000170079815.537,0.000288349615.229,0.000398993501.733,0.000506966428.08,0.000613

9、712376.039,0.000719794337.082,0.000825474306.681,0.00093089101.338,0.00417611*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*Concre

10、te 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.,0.00073988518515.2,0.0

11、028213610800.8,0.004723987406.35,0.006501395586.72,0.008233144469.4,0.009944553718.4,0.01164533180.69,0.01333992777.43,0.0150306*Concrete tension stiffening2666.4,02640.,0.00003365911264.64,0.000183705786.735,0.000307738584.088,0.000423793472.094,0.00053722400.477,0.000649477350.37,0.00076111313.124

12、,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 stiffening2767.4,0274

13、0.,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.,0.00070060619978.3,0.0029851511087.9,0.005002157444.

14、03,0.006873425552.82,0.0086964412.21,0.01049773654.2,0.01228883115.66,0.01407392714.07,0.0158551*Concrete tension stiffening2878.5,02850.,0.00003563831256.67,0.000194702760.756,0.000323283558.434,0.000443708448.564,0.000561565379.016,0.000678302330.681,0.000794449294.926,0.000910248267.272,0.0010258

15、286.0337,0.00458981*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.,0.00003624621252.05,0.00

16、0198738750.74,0.000328992548.949,0.000451041440.021,0.000570546371.305,0.000688948323.655,0.000806774288.463,0.000924259261.278,0.0010415283.8153,0.00465851*Material, Name=C70*Concrete compression hardening31150.,044500.,0.00064117721274.9,0.0031127611377.9,0.005224137526.44,0.00717215571.79,0.00906

17、8814407.16,0.01094423639.02,0.01280883096.11,0.01466742692.74,0.0165221Concrete 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*Material,

18、 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.,0.00003771171243.9,0.000204919735.834,0.000337513535.

19、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.,0.00060153922358.2,0.0032568111618.5,0.005462037601.82,0.007490325596.63,0.009465684412.34,0.01141943635.46,

20、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 , 如下图示

21、 (1):受拉受压辽i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, 0.0008086930.207199,0.002337390.410702,0.003863890.540458,0.00534640.69718,0.006802450.78611,0.008243050.84114,0.009674140.877465,0.011099

22、0.902661,0.0125197*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 compression d

23、amage0, 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, 0.0002574660.671381,0.0003590080.78758,0.0

24、004580020.862336,0.0005557570.908476,0.0006528150.933922,0.000749440.949638,0.0008457770.998607,0.00380631*Material, Name=C35*Concrete compression damage0, 00.01,0.0007894310.324164,0.002562530.561223,0.004270920.683386,0.005893950.796302,0.007478910.858328,0.009045070.89589,0.01060080.92031,0.01215

25、030.937062,0.0136956*Concrete tension damage0, 00.430433,0.0001601890.620766,0.0002734660.709799,0.0003796680.814503,0.0004832550.880713,0.0005856090.921137,0.0006872840.943295,0.0007885410.956917,0.0008895240.998833,0.00399589*Material, Name=C40*Concrete compression damage0, 00.01,0.0007648140.3690

26、42,0.002658560.609331,0.004446140.72467,0.006130680.823245,0.00777330.877128,0.00939620.90969,0.01100850.930844,0.01261440.01,0.00003014270.945352,0.0142164*Concrete tension damage0, 00.01,0.00003094220.471266,0.0001700790.658771,0.0002883490.742582,0.0003989930.836523,0.0005069660.895279,0.00061371

27、20.930952,0.0007197940.95046,0.0008254740.962428,0.000930890.998995,0.00417611*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*Con

28、crete tension damage0, 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, 0.0007398850.428

29、544, 0.002821360.666642,0.004723980.771409,0.006501390.853722,0.008233140.898389,0.009944550.9253,0.01164530.942763,0.01333990.954738,0.0150306*Concrete tension damage0, 00.01,0.00003365910.52097,0.0001837050.701994,0.0003077380.778754,0.0004237930.861159,0.000537220.911801,0.0006494770.942194,0.000

30、761110.958699,0.000872370.968775,0.0009833890.999181,0.00440455*Material, Name=C55*Concrete compression damage0.01,0.000727450.456423,0.002911320.691273,0.004873620.790729,0.006700530.866219,0.008480360.907065,0.01023970.93165,0.01198840.947601,0.0137310.958541,0.0154698*Concrete tension damage0, 00

31、.01,0.00003522170.539536,0.000189270.717351,0.0003153990.791331,0.0004335140.869789,0.0005490470.91763,0.0006634420.946178,0.0007772350.961623,0.0008906690.971027,0.001003870.999246,0.004493680,0*Material, Name=C60*Concrete compression damage0, 00.01, 0.0007006060.481084, 0.002985150.712003, 0.00500

32、2150.806648, 0.006873420.876252, 0.0086960.913899, 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.

33、0009102480.972937,0.001025820.999299,0.00458981*Material, 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, 00.01,0.00003

34、624620.572681,0.0001987380.743775,0.0003289920.812645,0.0004510410.883611, 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, 0.005224130.8

35、30867, 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, 0.0006968550.953916, 0.0008159190.967215, 0.0009346490.975292, 0.001053160.999364, 0