Issue 64

H. Zine Laabidine et alii, Frattura ed Integrità Strutturale, 64 (2023) 186-203; DOI: 10.3221/IGF-ESIS.64.12

The concrete damaged plasticity (CDP) available in ABAQUS material library was employed [20]. The material dilation angle ( Ψ ), the eccentricity ( ε ), the ratio of biaxial compressive strength to uniaxial compressive strength (f b0 /f c0 ) and tensile to compressive meridian ratio (K) are mentioned in tab. 4.

Dilation angle

Eccentricity

f b0 /f c0

K

Viscosity parameter

35 0.01 Table 4: Concrete damage plasticity (CDP) parameters adopted in the simulation. An example of the compressive and tensile behaviour for a concrete grade 38 MPa is shown in Fig. 9: 0.1 1.16 0.667

Concrete tensile behaviour

Concrete compressive behaviour

0 100 200 300 400

35

25

Stress (MPa)

Stress (Mpa)

15

5

0

0,01

0,02

0,03

‐ 0,003

‐ 5 ‐ 0,001 0,001 0,003 0,005 0,007 0,009

Strain

Strain

Figure 9: Example of the behaviour curves of concrete grade 38 MPa and Steel stress-strain curve.

In order to model the steel, a bilinear elastoplastic behaviour law was used. The stress-strain curve of steel adopted in the simulation is given in Fig. 9 (right) with a young modulus of 210,000 MPa, a Poisson ratio υ =0.3 and a yield limit stress of 400 MPa.

V ALIDATION OF THE FE MODELS

T

he load-mid-span deflection curves of the TCC beams, obtained by the numerical analysis are displayed and validated and by tests [14] in Figs. 10-12. The full composite and no composite limits are also added.

A1 Exp B1 Exp B2 Exp

A1 Num B1 Num B2 Num

D1 Exp D1 Num

Full Composite No composite

Full Composite

No composite

0 10 20 30 40 50 60 70 80

100

80

60

Load (kN)

Load (kN)

40

20

0

0

20

40

60

80

0

10

20

30

40

Mid ‐ span deflection (mm)

Mid ‐ span deflection (mm)

Figure 10: The load-mid-span deflection curves of the modelled TCC beams with rectangular notch connections R150 (left) and R300 (right) compared with the experimental results.

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