PSI - Issue 42

M.A. Herrera-Garrido et al. / Procedia Structural Integrity 42 (2022) 958–966 M. Herrera-Garrido et al. / Structural Integrity Procedia 00 (2019) 000–000

965

8

0.01

1

0.09

0.9

0.08

0.8

0.07

0.7

0.06

0.05

0.6

0.04

Im ( )

0.5

Real ( )

0.03

0.4

0.02

0.3

0 0.01

0.2

0

20 40 60 80 100 120 140 160 180 2

Fig. 4. Singularity exponents versus the wedge angle θ 2 , see Fig. 2 for reference.

1

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0

-3

-2

-1

0

1

2

3

(rad)

Fig. 5. Minimum singular value, σ min , of the corner characteristic matrix for ( λ , ω ) pairs for the case of a single-material wedge of solid angle 300 ◦

represented. The material used for the example is the material B with φ 2 = 90 ◦ for the semi-plane and φ 2 = 0 ◦ for the wedge. The boundary conditions at both outer faces are stress free.

4. Conclusion

The developed general purpose semi-analytical code has proven to be an efficient and accurate computational tool that can be very useful for both researchers and engineering companies that have to simulate by FEM their structures including discontinuities in boundary conditions, geometry or material properties. In Herrera-Garrido et al. (2022), the code has already demonstrated that its results are extremely accurate thanks to the comparison with the analytical results obtained by other authors using more specific methods. In this work the capabilities and variety of functions of this code and all the information the code can provide have been shown.