PSI - Issue 61

Bekir Kaçmaz et al. / Procedia Structural Integrity 61 (2024) 130–137 Author name / Structural Integrity Procedia 00 (2024) 000–000

134

5

Fig. 1. Test set-up and dimensions for prismatic skew notched concrete beam, reproduced from Je ff erson et al. (2004)

Table 1. Material properties and model parameters for concrete and LIGD model

E (MPa)

ν (-) R (mm)

η (-)

β (-)

κ 0 (-)

α (-) l (mm)

k (-)

3500 0.2 0.005 1 85 9.0E-05 0.96 2 13.9

displacement is applied at point P in vertical direction. Steel frames are modeled as linear elastic with a modulus of elasticity E of 200000 MPa and Poisson’s ratio of 0.3. Material properties and model parameters for concrete are given in Table 3.1. First a mesh convergence study with four di ff erent number of elements is conducted and the resulting reaction force-displacement curves are presented in Figure 2. Convergence upon mesh refinement is clearly visible from the reaction force-displacement (both corresponding to point P) curves.

1400

Mesh #1 Mesh #2 Mesh #3 Mesh #4

1200

1000

800

600

400 Reaction Force(N)

200

0

0

0.2 0.4 0.6 0.8

1

1.2 1.4 1.6 1.8

2

Vertical Displacement of Point P(mm)

Table 2. Finite element model (left) and the resulting reaction force-displacement curves from the mesh convergence study (right)

During the experiments, notch mouth opening displacement (also called as crack mouth opening displacement (CMOD)) and reaction force at the point P were measured and collected. From the FE analysis results, distance