PSI - Issue 5

Behzad V. Farahani et al. / Procedia Structural Integrity 5 (2017) 468–475 Behzad V. Farahani et al./ Structural Integrity Procedia 00 (2017) 000 – 000

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implemented in the context of the meshless method, as well as the algorithm to return the stress to the yield surface. Overall, this study proves that the supporting methodology is feasible and effect contributing to validate the experimental solution.

1,6

DIC

FEM

NNRPIM

1,2

0,8

Force [kN]

0,4

0

0

0,1

0,2

0,3

Vertical Displcement [mm]

a)

b) Fig. 3. (a) Problem domain with the interest points based on DIC and (b) reaction force correlated with the vertical displacement ( v 21 ), all methods.

Acknowledgements

The first author truly acknowledges the funding provided by Ministério da Educação e Ciência, Fundação para a Ciência e a Tecnologia (Portugal), under grant PD/BD/114095/2015 and SFRH/BPD/111020/2015. Dr. Moreira acknowledges POPH - QREN-Tipologia 4.2 - Promotion of scientific employment funded by the ESF and MCTES. Authors gratefully acknowledge the funding of Project NORTE-01-0145-FEDER-000022 - SciTech - Science and Technology for Competitive and Sustainable Industries, cofinanced by Programa Operacional Regional do Norte (NORTE2020), through Fundo Europeu de Desenvolvimento Regional (FEDER). References Belinha, J., 2014. Meshless Methods in Biomechanics: Bone Tissue Remodelling Analysis Vol. 16., Springer Netherlands. Belytschko, T. et al., 1996. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering , 139(1 – 4), pp.3 – 47. Bertin, M. et al., 2016. Crystal plasticity parameter identification with 3D measurements and Integrated Digital Image Correlation. Acta Materialia , 116, pp.321 – 331. Cintrón, R. & Saouma, V., 2008. Strain Measurements with the Digital Image Correlation System Vic-2D , Boulder. Crisfield, M.A., 1991. Non-Linear Finite Element Analysis of Solids and Structures, Essentials , London: John Wiley & Sons Ltd. Dave, S. et al., 2009. Digital image correlation and finite element analysis of inter- and intra-granular deformation. Procedia Engineering , 1(1), pp.197 – 200. Delaunay, B., 1934. Sur la sphère vide. A la mémoire de Georges Voronoï. Bulletin de l’Académie des Sciences de l’URSS , 6, pp.793 – 800. Dinis, L.M.J.S., Natal Jorge, R.M. & Belinha, J., 2008. Analysis of plates and laminates using the natural neighbour radial point interpolation method. Engineering Analysis with Boundary Elements , 32(3), pp.267 – 279.