混凝土本构数据.docx

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混凝土本构数据.docx

混凝土本构数据

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-DamagedModel)

(1).

根据GB50010-2002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:

(2)表4.1.5,单位kN/m2

表1弹性模量

C25

C30

C35

C40

C45

C50

2.8E7

3E7

3.15E7

3.25E7

3.35E7

3.25E7

C55

C60

C65

C70

C75

C80

3.55E7

3.6E7

3.65E7

3.7E7

3.75E7

3.8E7

(2)泊松比,统一取0.2(参阅

(2)的4.1.8)

(3)剪切模量:

(2)表4.1.5中的0.4倍采用(参阅

(2)的4.1.8).

(4)密度

(2):

2.5T/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)C.2.1,P206):

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:

B:

单轴受拉,其应力-应变关系方程如下(参阅

(2)C.2.2,P208):

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:

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

*Concretecompressionhardening

应力(kN/m2)塑性应变

11690.,0

16700.,0.000808693

13239.8,0.00233739

9841.27,0.00386389

7674.36,0.0053464

6248.49,0.00680245

5255.01,0.00824305

4527.98,0.00967414

3974.73,0.011099

3540.4,0.0125197

*Concretetensionstiffening

1797.8,0

1780.,0.000025515

1191.06,0.000135635

859.483,0.000236563

684.527,0.000331898

576.455,0.000424844

502.469,0.000516573

448.233,0.000607596

406.519,0.000698173

373.278,0.000788446

131.57,0.00355876

*Material,Name=C30

*Concretecompressionhardening

14070.,0

20100.,0.000801898

14636.6,0.00245591

10073.3,0.00407992

7500.85,0.00563756

5931.13,0.00716179

4889.86,0.00866839

4153.49,0.0101648

3607.,0.011655

3186.09,0.0131409

*Concretetensionstiffening

2030.1,0

2010.,0.0000282563

1232.19,0.00014944

849.073,0.000257466

660.524,0.000359008

548.371,0.000458002

473.404,0.000555757

419.357,0.000652815

378.298,0.00074944

345.892,0.000845777

118.271,0.00380631

*Material,Name=C35

*Concretecompressionhardening

16380.,0

23400.,0.000789431

15814.6,0.00256253

10267.4,0.00427092

7408.77,0.00589395

5749.74,0.00747891

4682.74,0.00904507

3943.69,0.0106008

3403.29,0.0121503

2991.69,0.0136956

*Concretetensionstiffening

2222.,0

2200.,0.0000301427

1253.05,0.000160189

834.315,0.000273466

638.442,0.000379668

524.938,0.000483255

450.278,0.000585609

397.041,0.000687284

356.924,0.000788541

325.457,0.000889524

109.188,0.00399589

*Material,Name=C40

*Concretecompressionhardening

18760.,0

26800.,0.000764814

16909.7,0.00265856

10469.9,0.00444614

7378.84,0.00613068

5650.07,0.0077733

4562.41,0.0093962

3819.83,0.0110085

3282.34,0.0126144

2876.02,0.0142164

*Concretetensionstiffening

2413.9,0

2390.,0.0000309422

1263.67,0.000170079

815.537,0.000288349

615.229,0.000398993

501.733,0.000506966

428.08,0.000613712

376.039,0.000719794

337.082,0.000825474

306.681,0.00093089

101.338,0.00417611

*Material,Name=C45

*Concretecompressionhardening

20720.,0

29600.,0.00075015

17743.1,0.00273782

10639.8,0.00458359

7386.84,0.00631443

5609.46,0.00800122

4506.18,0.00966788

3759.48,0.0113239

3222.27,0.0129737

2817.97,0.0146195

*Concretetensionstiffening

2535.1,0

2510.,0.0000323044

1265.87,0.000176673

802.219,0.000297743

600.343,0.000410999

487.385,0.0005216

414.624,0.000631002

363.47,0.000739759

325.314,0.000848128

295.619,0.000956244

96.8983,0.0042863

*Material,Name=C50

*Concretecompressionhardening

22680.,0

32400.,0.000739885

18515.2,0.00282136

10800.8,0.00472398

7406.35,0.00650139

5586.72,0.00823314

4469.4,0.00994455

3718.4,0.0116453

3180.69,0.0133399

2777.43,0.0150306

*Concretetensionstiffening

2666.4,0

2640.,0.0000336591

1264.64,0.000183705

786.735,0.000307738

584.088,0.000423793

472.094,0.00053722

400.477,0.000649477

350.37,0.00076111

313.124,0.00087237

284.214,0.000983389

92.4472,0.00440455

*Material,Name=C55

*Concretecompressionhardening

24850.,0

35500.,0.00072745

19297.,0.00291132

10959.8,0.00487362

7429.12,0.00670053

5569.63,0.00848036

4439.05,0.0102397

3683.89,0.0119884

3145.52,0.013731

2743.03,0.0154698

*Concretetensionstiffening

2767.4,0

2740.,0.0000352217

1261.67,0.00018927

774.457,0.000315399

571.752,0.000433514

460.697,0.000549047

390.039,0.000663442

340.767,0.000777235

304.231,0.000890669

275.923,0.00100387

89.2809,0.00449368

*Material,Name=C60

*Concretecompressionhardening

26950.,0

38500.,0.000700606

19978.3,0.00298515

11087.9,0.00500215

7444.03,0.00687342

5552.82,0.008696

4412.21,0.0104977

3654.2,0.0122888

3115.66,0.0140739

2714.07,0.0158551

*Concretetensionstiffening

2878.5,0

2850.,0.0000356383

1256.67,0.000194702

760.756,0.000323283

558.434,0.000443708

448.564,0.000561565

379.016,0.000678302

330.681,0.000794449

294.926,0.000910248

267.272,0.00102582

86.0337,0.00458981

*Material,Name=C65

*Concretecompressionhardening

29050.,0

41500.,0.000671154

20635.5,0.00305092

11227.6,0.00511681

7477.58,0.00702769

5554.81,0.00888851

4402.81,0.0107282

3640.4,0.0125572

3100.27,0.0143802

2698.31,0.0161993

*Concretetensionstiffening

2959.3,0

2930.,0.0000362462

1252.05,0.000198738

750.74,0.000328992

548.949,0.000451041

440.021,0.000570546

371.305,0.000688948

323.655,0.000806774

288.463,0.000924259

261.278,0.00104152

83.8153,0.00465851

*Material,Name=C70

*Concretecompressionhardening

31150.,0

44500.,0.000641177

21274.9,0.00311276

11377.9,0.00522413

7526.44,0.0071721

5571.79,0.00906881

4407.16,0.0109442

3639.02,0.0128088

3096.11,0.0146674

2692.74,0.0165221

*Concretetensionstiffening

3019.9,0

2990.,0.000036979

1248.1,0.000201847

743.23,0.000333282

541.959,0.000456512

433.772,0.000577225

365.689,0.000696855

318.553,0.000815919

283.779,0.000934649

256.941,0.00105316

82.2252,0.00470937

*Material,Name=C75

*Concretecompressionhardening

33180.,0

47400.,0.000619583

21842.2,0.00318471

11504.1,0.00534398

7565.26,0.00733259

5583.9,0.00926901

4408.93,0.0111839

3636.25,0.0130881

3091.21,0.0149862

2686.84,0.0168806

*Concretetensionstiffening

3080.5,0

3050.,0.0000377117

1243.9,0.000204919

735.834,0.000337513

535.156,0.000461909

427.722,0.000583819

360.269,0.000704663

313.639,0.000824951

279.275,0.000944913

252.774,0.00106466

80.7083,0.00475965

*Material,Name=C80

*Concretecompressionhardening

35140.,0

50200.,0.000601539

22358.2,0.00325681

11618.5,0.00546203

7601.82,0.00749032

5596.63,0.00946568

4412.34,0.0114194

3635.46,0.0133625

3088.38,0.0152995

2683.,0.0172327

*Concretetensionstiffening

3141.1,0

3110.,0.0000384437

1239.38,0.000207956

728.476,0.000341687

528.471,0.000467236

421.811,0.000590329

354.989,0.000712373

308.862,0.000833873

274.904,0.000955052

248.735,0.00107603

79.2484,0.00480935

 

(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

(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

*Concretecompressiondamage

损伤系数(dc)塑性应变

0,0

0.01,0.000808693

0.207199,0.00233739

0.410702,0.00386389

0.540458,0.0053464

0.69718,0.00680245

0.78611,0.00824305

0.84114,0.00967414

0.877465,0.011099

0.902661,0.0125197

*Concretetensiondamage

损伤系数(dt)塑性应变

0,0

0.01,0.000025515

0.330864,0.000135635

0.517144,0.000236563

0.615434,0.000331898

0.747045,0.000424844

0.834016,0.000516573

0.888637,0.000607596

0.919064,0.000698173

0.937999,0.000788446

0.998225,0.00355876

*Material,Name=C30

*Concretecompressiondamage

0,0

0.01,0.000801898

0.271809,0.00245591

0.498841,0.00407992

0.626823,0.00563756

0.758068,0.00716179

0.830984,0.00866839

0.875447,0.0101648

0.904483,0.011655

0.924462,0.0131409

*Concretetensiondamage

0,0

0.01,0.0000282563

0.386973,0.00014944

0.577576,0.000257466

0.671381,0.000359008

0.78758,0.000458002

0.862336,0.000555757

0.908476,0.000652815

0.933922,0.00074944

0.949638,0.000845777

0.998607,0.00380631

*Material,Name=C35

*Concretecompressiondamage

0,0

0.01,0.000789431

0.324164,0.00256253

0.561223,0.00427092

0.683386,0.00589395

0.796302,0.00747891

0.858328,0.00904507

0.89589,0.0106008

0.92031,0.0121503

0.937062,0.0136956

*Concretetensiondamage

0,0

0.01,0.0000301427

0.430433,0.000160189

0.620766,0.000273466

0.709799,0.000379668

0.814503,0.000483255

0.880713,0.000585609

0.921137,0.000687284

0.943295,0.000788541

0.956917,0.000889524

0.998833,0.00399589

*Material,Name=C40

*Concretecompressiondamage

0,0

0.01,0.000764814

0.369042,0.00265856

0.609331,0.00444614

0.72467,0.00613068

0.823245,0.0077733

0.877128,0.0093962

0.90969,0.0110085

0.930844,0.0126144

0.945352,0.0142164

*Concretetensiondamage

0,0

0.01,0.0000309422

0.471266,0.000170079

0.658771,0.000288349

0.742582,0.000398993

0.836523,0.000506966

0.895279,0.000613712

0.930952,0.000719794

0.95046,0.000825474

0.962428,0.00093089

0.998995,0.00417611

*Material,Name=C45

*Concretecompressiondamage

0,0

0.01,0.00075015

0.40057,0.00273782

0.640546,0.00458359

0.750445,0.00631443

0.840063,0.00800122

0.888862,0.00966788

0.918306,0.0113239

0.937422,0.0129737

0.950532,0.0146195

*Concretetensiondamage

0,0

0.01,0.0000323044

0.495671,0.000176673

0.680391,0.000297743

0.760819,0.000410999

0.849034,0.0005216

0.903712,0.000631002

0.936711,0.000739759

0.954691,0.000848128

0.965692,0.000956244

0.999092,0.0042863

*Material,Name=C50

*Concretecompressiondamage

0,0

0.01,0.000739885

0.428544,0.00282136

0.666642,0.00472398

0.771409,0.00650139

0.853722,0.00823314

0.898389,0.00994455

0.9253,0.0116453

0.942763,0.0133399

0.954738,0.0150306

*Concretetensiondamage

0

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