混凝土本构数据

?

(

3

?

2

α

a

)

< br>x

2

?

(

α

a

?

2

)

x

3

当

x

?

1

时

y

?

x

α

d

(

x

?

1

)

2

?

x

ε

ε

c

σ

f

c

?

x

?

y

?

在

0

–

0.7

f

c

的应力范围为线弹性

,

其弹性模量按表

1.

大于

0.7

f

c

,

应力

-< /p>

塑性应变关系如下

:

in

ε

c

?

ε

< br>c

?

σ

c

E

0

B:

单轴受拉

,

其应力

< br>-

应变关系方程如下

(

参阅

(2)C.2.2, P208):

当

x

?

1

时

y

?

1

.

2

x

?

0

.

< br>2

x

6

当

x

?

1

时

y

?

x

α

t

(

x

?

1

)

1

.

7

?

x

ε

ε

t

σ

f

t

?

在

0

–

f

t

的应力范围为线弹性

,

其弹性模量按表

1.

大于

f

t

为塑性

,

应力

-

塑性应变关系如下

:

x

?

y

?

ε

t

ck

?

ε

t

?

σ

t

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/m

2

)-

应变关系

:

*Material, Name=C25

*Concrete compression hardening

应力

(k N/m

2

)

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

*Concrete tension stiffening

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

*Concrete compression hardening

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

*Concrete tension stiffening

2030.1,

0

2010.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

2222.,

0

2200.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

2413.9,

0

2390.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

2535.1,

0

2510.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

2666.4,

0

2640.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

2767.4,

0

2740.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

2878.5,

0

2850.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

2959.3,

0

2930.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

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

*Concrete compression hardening

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

*Concrete tension stiffening

3080.5,

0

3050.,

0.

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

*Concrete compression hardening

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

*Concrete tension stiffening

3141.1,

0

3110.,

0.

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)

: