PSI - Issue 2_B

A. Spagnoli et al. / Structural Int grity Procedia 00 (2016) 00 –000

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A. Spagnoli et al. / Procedia Structural Integrity 2 (2016) 2667–2673

Fig. 3. Shakedown limit vs inclination angle in the case of elastic material ( σ 0 /σ M → ∞ ), and some results of incremental analysis (for µ = 0 . 5) in the case of plastic material with σ 0 /σ M = 1 . 1.

results, in terms of optimization procedure and time-marching analysis, related to a finite element model of a plate with a frictional crack are presented for illustrative purposes.

References

Barber, J., Klarbring, A., Ciavarella, M., 2008. Shakedown in frictional contact problems for the continuum. Comptes Rendus - Mecanique 336, 34–41. Klarbring, A., Barber, J., 2012. Shakedown of systems involving plasticity and friction. Private Communication . Klarbring, A., Ciavarella, M., Barber, J., 2007. Shakedown in elastic contact problems with coulomb friction. International Journal of Solids and Structures 44, 8355–8365.

Koiter, W., 1960. General theorems for elastic plastic solids. North Holland. volume 1. pp. 167–221. Melan, E., 1936. Theorie statisch unbestimmter systeme aus ideal-plastichembausto ff 2A(145), 195218.