动力弹塑性分析的材料非线性参数取值

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-DamagedMode*1）.

根据GR500182002混凝土.强度分类如下：

C25,C30,C35,C40,C45,C50,C55,C60,C65,C70,C75,C80

⑴弹性模量：

按（?）表4.1.5,单位kN/m2

表1弹性模量

C25C30C35C40C45C50

2.8E73E73.15E73.25E73.35E73.25E7

C55C60C65C70C75C80

3.55E73.6E73.65E73.7E73.75E73.8E7

⑵泊松比，统一取0.2（参阅⑵的4.1.8）

⑶剪切模量：按（2表4.1.5中的0.4倍采用（参阅⑵的4.1.8）.

⑷密度⑵：2.5T/m3

⑸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⑵表4.1.3采用

A:单轴受压，其应力-应变关系方程如下惨阅（2C21度06）:

当xWl时

y=a。+（3-2a。）x2+（a。-2）x3

当x21时

的

徵二---------------3--------

黑史巴智一外小历

品

感胃—

在0-0.7fo的应力范围为线弹性，其弹性模量按表1.大于0.7f

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.22P208):

当xWl时

y=1.2x-0.2x6

当x21时

冒

『0-------------------------------------------

在0-f的应力范围为线弹性，其弹性模量按表1.人于f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/m?)-塑性

应变关系：

"Material,Narne=C25

*Concrctccompressionhardening

应力(kN/m?)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

*Concrctctensionstiffening

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“o

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.Naine=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

2876.02,0.0M2164

♦Concretetensionstiffening

2413.9.o

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

率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,Naine=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

*Concrctctensionstiffening

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,Namc=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.Namc=C70

*Concretecompressionhardening

31150.,o

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,o

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,o

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

5596.63,00946568

4412.34,00114194

3635.46,0.0133625

3088.38,0.0152995

2683.10.0172327

*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0：

受拉

文献③Fig4.(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,Nanic=C25

♦Concretecompressiondamage

损伤系数(do)塑性应变

0,o

0.01,0.000808693

0.207199,00233739

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(d)塑性应变

0,o

0.01,0.000025515

0.330864,000135635

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.Namc=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

*Concrctccompressiondamage

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,Namc=C40

*Concretecompressiondamage

0,0

001,0.000764814

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

0.47126G,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,Namc=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

0,0

0.01,0.0000336591

0.52097.0.000183705

0.701994,0.000307738

0.778754,0.000423793

0.861159,0.00053722

0.911801,0.000649477

0.942194,0.00076111

0.958699,0.00087237

0.968775,0.000983389

0.999181.0.00440455

*Material,Name=C55

*Concretecompressiondamage

0.0

0.01,0.00072745

0.456423,0.00291132

0.691273,0.00487362

0.790729,0.00670053

0.866219,0.00848036

0.907065,0.0102397

0.93165,0.0119884

0.947601,0.013731

0.958541.0.0154698

♦Concretetensiondamage

0,0

0.01,0.0000352217

0.539536.0.00018927

0.717351,0.000315399

0.791331,0.000433514

0.869789,0.000549047

0.91763,0.000663442

0.946178,0.000777235

0.961623,0.000890669

0.971027.0.00100387

0.999246,0.00149368

*Material,Name=C60

*Concretecompressiondamage

0,0

0.01,0.000700606

0.481084,0.00298515

0.712003,0.00500215

0.806648,0.00687342

0.876252,0.008696

0.913899,0.0104977

0.936577,0.0122888

0.951309,0.0140739

0.961426,0.0158551

*Concretetensiondamage

0,0

0.01,0.0000356383

0.559063,0.000194702

0.733068,0.000323283

0.804058,0.000443708

0.877995,0.000561565

0.922909,0.000678302

0.949666,0.000794449

0.964133,0.000910248

0.972937,0.00102582

0.999299,0.00458981

*Material,Name=C65

*Concretecompressiondamage

0.0

0.01,0.000671154

0.502758,0.00305092

0.729456,0.00511681

0.819817.0.00702769

0.884515,0.00888851

0.919509,0.0107282

0.940612,0.0125572

0.95434,0.0143802

0.96378.0.0161993

*Concretetensiondamage

0,0

0.01,0.0000362462

0.572681,0.000198738

0.743775,0.000328992

0.812645,0.000451041

0.883611,0.000570546

0.926569,0.000688948

0.952106,0.000806774

0.965898,0.000924259

0.974284,0.00104152

0.999336,0.00465851

*Material,Name=C70

*Concretecompressiondamage

0,0

0.01,0.000641177

0.521912,0.00311276

0.744318,0.00522413

0.830867,0.0071721

0.891435,0.00906881

0.924204,0.0109442

0.943987,0.0128088

0.956872.0.0146674

0.965746,0.0165221

*Concretetensiondamage

0,0

0.01,0.000036979

0.582576.0.000201847

0.751428,0.000333282

0.818743,0.000456512

0.887672,0.000577225

0.929255,0.000696855

0.953916,0.000815919

0.967215,0.000934649

0.975292,0.00105316

0.999364,0.00470937

*Materia