Varvara Romanova, Ruslan Balokhonov, Evgeniya Emelianova, Olga Zinovieva, Aleksandr Zinoviev

DOI Number
First page
Last page


Microstructure-based simulations of the deformation processes require substantial computational resources due to the necessity of using detailed meshes with a large number of elements. An approach that considerably reduces the computational costs implies simulation of quasistatic deformation within a dynamic approach involving a solution of the motion equations rather than the equilibrium equations. It enables a transition from implicit to explicit time integration providing a significant gain in the computational capacity. In this paper, we show that the explicit dynamic approach can be successfully used in the microstructure-based simulations of quasistatic deformation, considerably reducing the computational costs without losing the information and solution accuracy. The following conditions have to be met to ensure a close agreement between the dynamic and static solutions: (i) the load velocity in the dynamic calculations must be smoothly increased to its amplitude value and then kept constant to minimize the acceleration term appearing in the equation of motion and (ii) the constitutive model employed must describe a quasi-rate-independent response. An examination of the mesh convergence and the strain-rate dependence for a polycrystalline aluminum model has supported this conclusion.


Microstructure-based Simulations, Quasistatic Deformation, Explicit Dynamic Approach, Crystal Plasticity

Full Text:



Harewood, F.J., McHugh, P.E., 2007, Comparison of the implicit and explicit finite element methods using crystal plasticity, Computational Materials Science, 39(2), pp. 481-494.

Kutt, L.M., Pifko, F.B., Nardiello, J.A., Papazian, J.M., 1998, Slow-dynamic finite element simulation of manufacturing processes, Computers and Structures, 66(1), pp. 1-17.

Hu, X., Wagoner, R.H., Daehn, G.S., Ghosh, S., 1994, Comparison of explicit and implicit finite element methods in the quasistatic simulation of uniaxial tension, Communications in Numerical Methods in Engineering, 10(12), pp. 993-1003.

Dimaki, A.V., Shilko, E.V., Popov, V.L., Psakhie, S.G., 2018, Simulation of fracture using a mesh-dependent fracture criterion in a discrete element method, Facta Universitatis, Series: Mechanical Engineering, 16(1), pp. 41-50.

Roters, F., Eisenlohr, P., Bieler, T.R., Raabe, D., 2010, Crystal plasticity finite element methods: in materials science and engineering, Wiley‐VCH Verlag GmbH & Co. KGaA.

Romanova, V.A., Balokhonov, R.R., 2009, Numerical simulation of surface and bulk deformation in three-dimensional polycrystals, Physical Mesomechanics, 12(3-4), pp. 130-140.

Busso, E.P., Cailletaud, G., 2005, On the selection of active slip systems in crystal plasticity, International Journal of Plasticity, 21(11), pp. 2212-2231.

Teplyakova, L.A., Bespalova, I.V., Lychagin, D.V., 2009, Spatial organization of deformation in aluminum [1 ī 2] single crystals in compression, Physical Mesomechanics, 3(12), pp. 166-174.

DOI: https://doi.org/10.22190/FUME190403028R


  • There are currently no refbacks.

ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

COBISS.SR-ID 98732551

ZDB-ID: 2766459-4