混凝土本構(gòu)數(shù)據(jù)

1、附錄一動(dòng)力彈塑性分析的材料非線性參數(shù)取值一 混凝土材料: 混凝土材料采用塑性損傷模型(Plastic-Damaged Model)(1).根據(jù)GB 50010-2002 混凝土強(qiáng)度分類 如下:C25, C30, C35, C40, C45, C50, C55, C60, C65, C70, C75, C80(1) 彈性模量:按(2)表, 單位kN/m2 表1彈性模量C25C30C35C40C45C502.8E73E73.15E73.25E73.35E73.25E7C55C60C65C70C75C803.55E73.6E73.65E73.7E73.75E73.8E7(2) 泊松比, 統(tǒng)一取 0.

2、2 (參閱(2)的)(3) 剪切模量: 按(2)表中的0.4 倍采用(參閱(2)的4.1.8).(4) 密度(2): 2.5 T/m3(5) 單軸應(yīng)力-應(yīng)變關(guān)系混凝土材料軸心抗壓和軸心抗拉強(qiáng)度標(biāo)準(zhǔn)值按(2)表采用.A: 單軸受壓, 其應(yīng)力-應(yīng)變關(guān)系方程如下(參閱(2)C.2.1, P206):當(dāng)時(shí)當(dāng)時(shí)在 0 0.7fc 的應(yīng)力范圍為線彈性, 其彈性模量按表1. 大于0.7fc為塑性范圍, 應(yīng)力-塑性應(yīng)變關(guān)系如下:B: 單軸受拉, 其應(yīng)力-應(yīng)變關(guān)系方程如下(參閱(2)C.2.2, P208):當(dāng)時(shí)當(dāng)時(shí)在 0 ft 的應(yīng)力范圍為線彈性, 其彈性模量按表1. 大于ft為塑性范圍, 應(yīng)力-塑性應(yīng)變關(guān)系

3、如下:據(jù)此得到下列各等級混凝土材料在拉和壓屈服后的應(yīng)力(kN/m2)-塑性應(yīng)變關(guān)系:*Material, Name=C25*Concrete compression hardening 應(yīng)力(kN/m2) 塑性應(yīng)變11690., 016700., 0.00080869313239.8, 0.002337399841.27, 0.003863897674.36, 0.00534646248.49, 0.006802455255.01, 0.008243054527.98, 0.009674143974.73, 0.0110993540.4, 0.0125197*Concrete tension

4、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 compression hardening14070., 020100., 0.00080189814636.

5、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, 0.000458002473.404, 0.000555757419.3

6、57, 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, 0.01215032991.69, 0.013695

7、6*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., 026800

8、., 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

9、.08, 0.000613712376.039, 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, 0.0129

10、7372817.97, 0.0146195*Concrete 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 harden

11、ing22680., 032400., 0.00073988518515.2, 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, 0.000423793472.09

12、4, 0.00053722400.477, 0.000649477350.37, 0.00076111313.124, 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, 0.011988431

13、45.52, 0.0137312743.03, 0.0154698*Concrete tension stiffening2767.4, 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 comp

14、ression hardening26950., 038500., 0.00070060619978.3, 0.0029851511087.9, 0.005002157444.03, 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, 0.000

15、443708448.564, 0.000561565379.016, 0.000678302330.681, 0.000794449294.926, 0.000910248267.272, 0.0010258286.0337, 0.00458981 *Material, Name=C65*Concrete compression hardening29050., 041500., 0.00067115420635.5, 0.0030509211227.6, 0.005116817477.58, 0.007027695554.81, 0.008888514402.81, 0.0107282364

16、0.4, 0.01255723100.27, 0.01438022698.31, 0.0161993*Concrete tension stiffening2959.3, 02930., 0.00003624621252.05, 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=

17、C70*Concrete compression hardening31150., 044500., 0.00064117721274.9, 0.0031127611377.9, 0.005224137526.44, 0.00717215571.79, 0.009068814407.16, 0.01094423639.02, 0.01280883096.11, 0.01466742692.74, 0.0165221*Concrete tension stiffening3019.9, 02990., 0.0000369791248.1, 0.000201847743.23, 0.0003332

18、82541.959, 0.000456512433.772, 0.000577225365.689, 0.000696855318.553, 0.000815919283.779, 0.000934649256.941, 0.0010531682.2252, 0.00470937 *Material, Name=C75*Concrete compression hardening33180., 047400., 0.00061958321842.2, 0.0031847111504.1, 0.005343987565.26, 0.007332595583.9, 0.009269014408.9

19、3, 0.01118393636.25, 0.01308813091.21, 0.01498622686.84, 0.0168806*Concrete tension stiffening3080.5, 03050., 0.00003771171243.9, 0.000204919735.834, 0.000337513535.156, 0.000461909427.722, 0.000583819360.269, 0.000704663313.639, 0.000824951279.275, 0.000944913252.774, 0.0010646680.7083, 0.00475965

20、*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, 0.01336253088.38, 0.01529952683., 0.0172327*Concrete tension stiffening3141.1, 03110., 0.00003844371239.38, 0.000207956

21、728.476, 0.000341687528.471, 0.000467236421.811, 0.000590329354.989, 0.000712373308.862, 0.000833873274.904, 0.000955052248.735, 0.0010760379.2484, 0.00480935(6) 損傷系數(shù):混凝土材料進(jìn)入塑性狀態(tài)伴隨著剛度的降低, 如下圖示(1):受拉受壓文獻(xiàn)(3)Fig4. (a), (b) 給出了混凝土材料單軸拉壓的滯回曲線. 該曲線已被實(shí)驗(yàn)和計(jì)算驗(yàn)證. 通過線性插值, 可以得到混凝土材料各塑性應(yīng)變所對應(yīng)的損傷系數(shù)如下:*Material, Nam

22、e=C25*Concrete compression damage損傷系數(shù)(dc)塑性應(yīng)變0, 00.01, 0.0008086930.207199, 0.002337390.410702, 0.003863890.540458, 0.00534640.69718, 0.006802450.78611, 0.008243050.84114, 0.009674140.877465, 0.0110990.902661, 0.0125197*Concrete tension damage損傷系數(shù)(dt)塑性應(yīng)變0, 00.01, 0.0000255150.330864, 0.0001356350.5

23、17144, 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 damage0, 00.01, 0.0008018980.271809, 0.002455910.498841, 0.004079920.626823, 0.005637560.75806

24、8, 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, 0.0004580020.862336, 0.0005557570.908476, 0.0006528150.933922, 0.000749440.949638, 0.000845777

25、0.998607, 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, 0.01215030.937062, 0.0136956*Concrete tension damage0, 00.01, 0.00003014270.430433,

26、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, 0.0007648140.369042, 0.002658560.609331, 0.004446140.72467, 0.00

27、6130680.823245, 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, 0.0007197940.95046, 0.0008254740.962428

28、, 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 damage0, 00.01, 0.00003230

29、440.495671, 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, 0.004723980.77

30、1409, 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, 0.00087237

31、0.968775, 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, 0.0

32、0003522170.539536, 0.000189270.717351, 0.0003153990.791331, 0.0004335140.869789, 0.0005490470.91763, 0.0006634420.946178, 0.0007772350.961623, 0.0008906690.971027, 0.001003870.999246, 0.00449368 *Material, Name=C60*Concrete compression damage0, 00.01, 0.0007006060.481084, 0.002985150.712003, 0.00500

33、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

34、.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,

35、00.01, 0.00003624620.572681, 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, 0.005224130.830867, 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, 0.0006968550.9