PSI - Issue 6

Giulio Zuccaro et al. / Procedia Structural Integrity 6 (2017) 236–243 Author name / Structural Integrity Procedia 00 (2017) 000–000

242

7

2

2

4

4

2

3

1.5

1.5

3.5

3.5

1.5

2.5

1

1

3

3

1

2

0.5

0.5

2.5

2.5

0.5

0

0

2

2

0

1.5

y

y

y

eq (Maugis, 1992)

1 (Maugis, 1992) -0.5

2 (Maugis, 1992) -0.5

-0.5

1.5

1.5

1

-1

-1

1

1

-1

0.5

-1.5

-1.5

-1.5

0.5

0.5

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x -2

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x -2

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x -2

0

0

0

(a) σ 11

(b) σ 22

(c) Equivalent σ (Von Mises)

2

2

4

4

2

3

1.5

1.5

3.5

3.5

1.5

2.5

1

1

3

3

1

2

0.5

0.5

2.5

2.5

0.5

0

0

2

2

0

1.5

y

y

y

eq (Present)

1 (Present)

2 (Present)

-0.5

-0.5

1.5

1.5

-0.5

1

-1

-1

1

1

-1

0.5

-1.5

-1.5

-1.5

0.5

0.5

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x -2

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x -2

-2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x -2

0

0

0

(d) σ 11

(e) σ 22

(f) Equivalent σ (Von Mises)

Fig. 2. Stress fields produced by uniform loading. Solution by Maugis (1992) (above), and by the proposed approach (below).

compared with the plot of the solution provided by Maugis (1992). As shown in Fig. 2 almost identical results are obtained in terms of stresses by applying Equation (14).

Acknowledgements

Financial support from the Italian Ministry of Education, University and Research (MIUR) in the framework of the Project PRIN ”COAN 5.50.16.01” code 2015JW9NJT is gratefully acknowledged

References

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