Issue 50

K. Meftah et alii, Frattura ed Integrità Strutturale, 50 (2019) 276-285; DOI: 10.3221/IGF-ESIS.50.23 285 robustness when compared with some reference elements from the literature. The elasto-plastic results obtained by four- node Q4  element for the square bending plates with various boundary conditions can be treated with acceptable accuracy compared with those obtained by 9-node Hétérosis element. For the displacement field and for the plastic zone the Q4  solutions are very similar to the Hétérosis solutions. R EFERENCES [1] Owen, D.R.J. and Hinton, E. (1980). Finite elements in plasticity – Theory and practice, Pinerdge Press Limited, Swansea, U.K. [2] Meftah, K. (2019). Analyse non linéaire (élasto-plasticité) des plaques Reissner-Mindlin, Ed. Universitaires Europeennes, Paris, France. [3] Rezaiee-Pajand, M. and Sadeghi, Y. (2013). A bending element for isotropic, multilayered and piezoelectric plates, Latin American Journal of Solids and Structures, 10(2), pp. 323-348. DOI: 10.1590/S1679-78252013000200006. [4] Kanber, B. and Bozkurt, · O.Y. (2006). Finite element analysis of elasto-plastic plate bending problems using transition rectangular plate elements, Acta Mechanica Sinica 22, pp. 355–365. DOI: 10.1007/s10409-006-0012-y. [5] Fallah, N. and Parayandeh-Shahrestany A. (2014). A novel finite volume based formulation for the elasto-plastic analysis of plates, Thin-Walled Structures, 77, pp. 153-164. DOI: 10.1016/j.tws.2013.09.025. [6] Fallah, N., Parayandeh Shahrestany, A. and Golkoubi, H. (2017). A Finite Volume Formulation for the Elasto-Plastic Analysis of Rectangular Mindlin-Reissner Plates, a Non-Layered Approach, Civil Engineering Infrastructures Journal, 50(2), pp. 293 – 310. DOI: 10.7508/CEIJ.2017.02.006. [7] Kargarnovin, M.H., Toussi, H.E. and Fariborz, S.J. (2003). Elasto-plastic element-free Galerkin method, Computational Mechanics, 33, pp. 206-14. DOI: 10.1007/s00466-003-0521-5. [8] Pamin, J., Askes, H. and Borst, R. (2003). Two gradient plasticity theories discretized with the element-free Galerkin method, Computer Methods in Applied Mechanics and Engineering, 192, pp. 2377-403. DOI: 10.1007/s00466-003-0521-5. [9] Marangon, C., Campagnolo, A. and Berto, F. (2015). Three-dimensional effects at the tip of rounded notches subjected to mode-I loading under cyclic plasticity, J. Strain Anal. Eng. Des., 50(5), pp. 299–313. DOI: 10.1177/0309324715581964. [10] Campagnolo, A., Berto, F. and Marangon, C. (2016). Cyclic plasticity in three-dimensional notched components under in-phase multiaxial loading at R=−1, Theor. Appl. Fract. Mech., 81. DOI: 10.1016/j.tafmec.2015.10.004. [11] Reissner, E. (1945). The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech., 12, pp. 66–77. [12] Mindlin, R.D. (1951). Influence of rotatory inertia and shear on flexural motion of isotropic, elastic plates, J. Appl. Mech., 18, pp. 31–38. [13] Batoz, J. and Dhatt, G. (1992). Modelization of structures by finite elements: beams and plates, Hermes, Paris. [14] Hinton, E. and Owen, D.R.J. (1984). Finite element software for plates and shells, Pineridge Press Limited, Swansea, U.K. [15] Chen, W.F. and Han, D.J. (1988). Plasticity for structural engineers, Springer-Verlag, New York. [16] Kanber, B. and Bozkurt, O.Y. (2006). Finite element analysis of elasto-plastic plate bending problems using transition rectangular plate elements, Acta Mechanica Sinica, 22, pp. 355–365. DOI: 10.1007/s10409-006-0012-y. [17] Belinha, J. and Dinis, L. (2006). Elasto-plastic analysis of plates by the element free Galerkin method, International Journal for Computer-Aided Engineering and Software, 23, pp. 525-551. DOI: 10.1108/02644400610671126.