ABAQUS中根据02版混规推导混凝土塑性损伤模型参数

受拉曲线

E0(拉伸弹性模量)f t*(输入ft)εtαt E

2.12E+10 2.01E+069.476309E-05 1.26E+00 2.57E+10

Pa Pa

εx y

0.000000E+0000.00E+00

3.790524E-050.4

4.79E-01

4.738155E-050.5

5.97E-01

5.685786E-050.67.11E-01

6.633417E-050.78.16E-01

7.581047E-050.89.08E-01

8.528678E-050.99.74E-01

9.476309E-051x=1处，峰值点 1.00E+00

1.042394E-04 1.19.78E-01

1.137157E-04 1.29.36E-01

1.231920E-04 1.38.89E-01

1.326683E-04 1.48.41E-01

1.610973E-04 1.77.12E-01

1.895262E-042 6.13E-01

2.274314E-04 2.4 5.18E-01

2.842893E-043 4.23E-01

3.411471E-04 3.6 3.60E-01

3.980050E-04

4.2 3.16E-01

4.738155E-045 2.73E-01

5.685786E-046 2.36E-01

7.581047E-048 1.88E-01

9.476309E-0410 1.59E-01

2.842893E-03307.21E-02

5.685786E-0360 4.44E-02

受压曲线

E0(压缩弹性模量)f c*(输入fc)εc,rαdαa

2.57E+10 2.01E+07 1.471128E-037.50E-01 2.15E+00

Pa Pa

εc x y

0.000000E+0000.00E+00

1.471128E-040.1

2.02E-01

3.133503E-040.213调节X值使y=0.4

4.00E-01

4.413384E-040.3

5.32E-01

5.884512E-040.4

6.61E-01

7.355640E-040.57.69E-01

8.826768E-040.68.54E-01

1.029790E-030.79.19E-01

1.176902E-030.89.65E-01

1.324015E-030.99.91E-01

1.471128E-031x=1处，峰值点 1.00E+00

1.618241E-03 1.19.93E-01

1.765354E-03 1.29.76E-01

1.912466E-03 1.39.51E-01

2.059579E-03 1.49.21E-01

2.500918E-03 1.78.22E-01

2.942256E-0327.27E-01

3.530707E-03 2.4 6.20E-01

4.413384E-033

5.00E-01

5.296061E-03 3.6 4.15E-01

6.178738E-03 4.2 3.53E-01

7.355640E-035 2.94E-01

8.826768E-036 2.42E-01

1.176902E-028 1.79E-01

1.471128E-0210 1.41E-01

4.413384E-0230 4.54E-02

8.826768E-0260 2.25E-02

注：

1.在橙色表格中输入所需的弹性模量及抗压抗拉强度（单位均为Pa)，黄色部分为输入到ABA中的数据，

1.非弹性应变及应力的计算参考了2002版混凝土规范；

2.受压曲线中，y取 0.4参考了陆新征的书清华陆新征的《建筑抗震弹塑性分析》一书中建议

3.ABAQUS中的损伤因子与新版混凝土中的损伤演化参数是不同的；本表为按试验得到曲线图解

4.bc和bt为试验数据根据 Birtel.V 和 MARK. P 在《Parameterized finite element model

膨胀角偏心率fb0/fc0

300.1 1.16

σt (Pa)σt,true (Pa)εt,true ε

t,in

0.00E+000.00E+000.00E+009.63E+059.63E+05 3.79E-05-7.50E-061.20E+06 1.20E+06 4.74E-05 1.98E-061.43E+06 1.43E+06 5.69E-05 1.15E-051.64E+06 1.64E+06 6.63E-05 2.09E-051.82E+06 1.82E+067.58E-05 3.04E-051.96E+06 1.96E+068.53E-05 3.99E-052.01E+06 2.01E+069.48E-05 4.94E-051.97E+06 1.97E+06 1.04E-04 5.88E-051.88E+06 1.88E+06 1.14E-04 6.83E-051.79E+06 1.79E+06 1.23E-047.78E-051.69E+06 1.69E+06 1.33E-048.73E-051.43E+06 1.43E+06 1.61E-04 1.16E-041.23E+06 1.23E+06 1.90E-04 1.44E-041.04E+06 1.04E+06 2.27E-04 1.82E-048.50E+058.50E+05 2.84E-04 2.39E-047.24E+057.24E+05 3.41E-04 2.96E-046.34E+05 6.35E+05 3.98E-04 3.53E-045.49E+05 5.49E+05 4.74E-04 4.28E-044.74E+05 4.74E+05 5.68E-04 5.23E-043.79E+05 3.79E+057.58E-047.12E-043.20E+05 3.20E+059.47E-049.02E-041.45E+05 1.45E+05 2.84E-03 2.79E-038.93E+04

8.98E+04 5.67E-03

5.62E-03

σc (Pa)σc,true (Pa)ε

c,true

ε

c,in

0.00E+000.00E+000

4.06E+06 4.06E+060.0001471028.05E+068.05E+060.0003133010.00E+001.07E+07 1.07E+070.000441241 1.28E-041.33E+07 1.33E+070.000588278 2.75E-041.54E+07 1.55E+07

0.000735294

4.22E-04

名义应变化为实际应变

1.72E+07 1.72E+070.000882287 5.69E-041.85E+07 1.85E+070.001029267.16E-041.94E+07 1.94E+070.001176218.63E-041.99E+07

2.00E+070.001323139 1.01E-032.01E+07 2.01E+070.001470047 1.16E-032.00E+07 2.00E+070.001616933 1.30E-031.96E+07 1.96E+070.001763797 1.45E-031.91E+07 1.91E+070.00191064 1.60E-031.85E+07 1.86E+070.002057461 1.74E-031.65E+07 1.66E+070.002497796 2.18E-031.46E+07 1.47E+070.002937936 2.62E-031.25E+07 1.25E+070.003524489

3.21E-031.00E+07 1.01E+070.004403674

4.09E-038.34E+068.39E+060.005282086 4.97E-037.10E+067.15E+060.006159727

5.85E-035.91E+06 5.95E+060.0073287197.02E-034.87E+06 4.91E+060.008788048.47E-033.59E+06 3.63E+060.011700308 1.14E-022.84E+06 2.88E+060.014604119 1.43E-029.12E+059.52E+050.043187681 4.29E-024.51E+05

4.91E+050.0845871488.43E-02

K

0.6667

分为输入到ABA中的数据，单位为国际单位；f t,r 和f c,r 参照规范为计算所需的设计值标准值；

1.0

Tension

粘性参数

0.0005

modelling of RC Beam Shear Failure》一文中建议 bc 取值 0.7，bt 值 0.1。

名义应变化为实际应变

中建议取 1/3~1/2fc(见书 P126 图 3.3-14(a))；线图解计算得到，也可以按能量法来计算；

Compression Recovery

Yield Stress

Cracking Strain b t ε

pl

σ

t,true /E 0

d t

起始应变调零

0.10-7.50E-07 4.54E-050.10 1.98E-07 5.66E-050.10 1.15E-06 6.73E-050.10 2.09E-067.74E-050.10 3.04E-068.60E-050.10 3.99E-069.23E-052.01E+060.00E+000.10 4.94E-069.48E-050.00E+001.97E+06 5.88E-050.10 5.88E-069.26E-05 3.64E-011.88E+06 6.83E-050.10 6.83E-068.87E-05 4.09E-011.79E+067.78E-050.107.78E-068.42E-05 4.54E-011.69E+068.73E-050.108.73E-067.97E-05 4.96E-011.43E+06 1.16E-040.10 1.16E-05 6.75E-05 6.07E-011.23E+06 1.44E-040.10 1.44E-05 5.81E-05 6.91E-011.04E+06 1.82E-040.10 1.82E-05 4.91E-057.69E-018.50E+05 2.39E-040.10 2.39E-05 4.01E-058.43E-017.24E+05 2.96E-040.10 2.96E-05 3.41E-058.86E-016.35E+05 3.53E-040.10 3.53E-05 2.99E-059.14E-015.49E+05 4.28E-040.10 4.28E-05 2.59E-059.37E-014.74E+05 5.23E-040.10 5.23E-05 2.24E-059.55E-013.79E+057.12E-040.107.12E-05 1.79E-059.73E-013.20E+059.02E-04

0.109.02E-05 1.51E-059.82E-01

0.10 2.79E-04 6.85E-060.10

5.62E-04 4.23E-06

Yield Stress

Inelastic Strain b c

ε

pl

σ

c,true /E 0

d c

初始应变调零

8.05E+060.00E+000.700.00E+00 3.13E-040.00E+001.07E+07 1.28E-040.708.96E-05 4.16E-048.44E-021.33E+07 2.75E-040.70 1.92E-04 5.18E-04 1.37E-011.55E+07 4.22E-04

0.70 2.95E-04 6.02E-04 1.74E-01

Compressive Behavior Compres

Tensi

Tensile Behavior

1.72E+07 5.69E-040.70 3.98E-04 6.69E-04

2.03E-01

1.85E+077.16E-040.70 5.01E-047.20E-04

2.30E-01

1.94E+078.63E-040.70 6.04E-047.56E-04

2.55E-01

2.00E+07 1.01E-030.707.07E-047.77E-04 2.81E-01

2.01E+07 1.16E-030.708.10E-047.84E-04

3.07E-01

2.00E+07 1.30E-030.709.13E-047.78E-04

3.34E-01

1.96E+07 1.45E-030.70 1.02E-037.65E-04 3.63E-01

1.91E+07 1.60E-030.70 1.12E-037.45E-04 3.91E-01

1.86E+07 1.74E-030.70 1.22E-037.22E-04 4.20E-01

1.66E+07

2.18E-030.70 1.53E-03 6.45E-04 5.04E-01

1.47E+07

2.62E-030.70 1.84E-03 5.71E-04 5.80E-01

1.25E+07 3.21E-030.70

2.25E-03 4.87E-04 6.64E-01

1.01E+07 4.09E-030.70

2.86E-03

3.93E-047.57E-01

8.39E+06 4.97E-030.70 3.48E-03 3.27E-048.20E-01

7.15E+06 5.85E-030.70 4.09E-03 2.78E-048.63E-01

5.95E+067.02E-030.70 4.91E-03 2.32E-049.01E-01

4.91E+068.47E-030.70

5.93E-03 1.91E-049.30E-01

3.63E+06 1.14E-020.707.97E-03 1.41E-049.60E-01

2.88E+06 1.43E-020.70 1.00E-02 1.12E-049.75E-01

0.70 3.00E-02 3.71E-05

0.70 5.90E-02 1.91E-05

sion Recovery

0.0

ension Damage

Cracking Strain数据检查

0.00E+000.00E+00

5.88E-05 1.51E-05

6.83E-05 1.75E-05

7.78E-05 2.00E-05

8.73E-05 2.24E-05

1.16E-04

2.97E-05

1.44E-04 3.70E-05

1.82E-04 4.67E-05

2.39E-04 6.13E-05

2.96E-047.59E-05

3.53E-049.05E-05

4.28E-04 1.10E-04

5.23E-04 1.34E-04

7.12E-04 1.83E-04

9.02E-04 2.32E-04

pression Damage

Inelastic Strain数据检查

0.00E+000.00E+00

1.28E-048.96E-05

2.75E-04 1.92E-04

4.22E-04 2.95E-04

5.69E-04 3.98E-04

7.16E-04 5.01E-04

8.63E-04 6.04E-04 1.01E-037.07E-04 1.16E-038.10E-04 1.30E-039.13E-04 1.45E-03 1.02E-03 1.60E-03 1.12E-03

1.74E-03 1.22E-03

2.18E-03 1.53E-03

2.62E-03 1.84E-03

3.21E-03 2.25E-03

4.09E-03 2.86E-03

4.97E-03 3.48E-03

5.85E-03 4.09E-03

7.02E-03 4.91E-03

8.47E-03 5.93E-03 1.14E-027.97E-03 1.43E-02 1.00E-02