PSI - Issue 73

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Petr Frantík et al. / Procedia Structural Integrity 73 (2025) 14–18 Author name / Structural Integrity Procedia 00 (2025) 000 – 000

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N / EA

u / L

N eng

N poi

N ln

N cmb

Fig. 2. Comparison of derived relationships for Poisson’s number = 0.2

3. Numerical comparison The Dlubal RFEM 6 software (2021), based on the solver developed by the FEM Consulting, s.r.o. (1991), and particularly in this case utilizing the Green – Lagrange strain tensor, was chosen to compare the derived relationships with finite element results. Three FEM models, see Fig. 3, with different dimensions were tested for a bar of length L = 8 m, width b = 1 m, Young’s modulus E = 210 GPa. Poisson’s ratio varied: ϵ {0.1,0.3,0.45,0.49} . The bar was loaded with a displacement u = − 0.1 m ( − 1.25 %), and the steady state was achieved via dynamical simulation with artificial damping.

Fig. 3. All three models as rendered in the Dlubal RFEM 6; from left to right: beam, shell and brick model