About Us


tension, FEM modeling, constitutive relation, finite elastic-plastic deformation, ductile fracture.


This paper presents the results of experimental researches and FEM modeling for tension process of an original plane specimen with notch. The specimen was made of
the low carbon steel sheet with thickness of 4 mm. The modeling was performed with three different constitutive relationships, which are available in commercial software
for modeling the non-linear issues with high strains. The three-dimensional numerical model was based on the experimental model. The results of individual models were
compared with the experimental results. The special attention was paid to convergence of force characteristics and modeled specimen shapes in areas of the highest
elastic-plastic deformations. Moreover, for the model of the highest convergence with the experiment the ductile fracture phase was modeled until total separation of specimen


Acta Mechanica Slovaca. Volume 16, Issue 1, Pages 66 – 72, ISSN 1335-2393


  The analysis of the constitutive model effect on convergence of results with the experiment for FEM modeling of 3D issues with high elastic-plastic deformations


[1] Bathe K.J., Finite Element Procedures, Prentice Hall, Englewood Cliffs, NJ 1995.

[2] Greek A.E., Naghdi P.M., A general theory of an elastic-plastic continuum, Arch. Rat. Mech. Anal. 18, 1965, p. 251-281.
[3] Gabriel G., Bathe K. J., Computational issues in large strain elasto-plastic analysis, Computers&Structures, Vol. 56, No. 2/3, 1995, p. 249-267.
[4] Bathe K.J., Kojić M., Walczak J., Some developments in methods for large strain elasto-plastic analysis, Computational plasticity : Models, Software and Applications (Edited by D.J. R. Owen et al.), Pineridge Press, Swansea, 1987, p.263-279.
[5] Eterovic A.L., Bathe K.J., A note on the use of the additive decomposition of the strain tensor in finite deformation inelasticity, Comput. Meth. Appl. Mech. Engng 93,1991, p.
[6] Lee E.H., Elastic-plastic deformation at finite strains, J. Appl.Mech. 36,1969, p. 1-6.
[7] Bathe K.J., Ramm E., Wilson E.L., Finite element formulations for large deformation dynamic analysis, Int. J. Numer. Meth. Engng 9, 1975, p. 353-386.
[8] Eterovic A.L., Bathe K.J, A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress
and strain measures, Int. J. Numer. Meth. Engng 30, 1990, p.1099-1114.
[9] MSC Software, MSC.Marc Volume A, Theory and User Information, Version, 2010.
[10] MSC Software, MSC.Marc Volume B, Element Library, Version,2010.
[11] Rice J.R., Trecey D.M., On the ductile enlargement of voids in triaxial stress fields, J. Mech. Phys. Solids 17, 1969, p. 201–217.

Latest Issue

ams 2 2016


Guests Online

We have 10 guests and no members online