In this contribution, a mesomechanical approach [1] to simulate the elasto-plastic behavior and fracture of materials with explicit consideration for their meso-structure has been extended to the three-dimensional case. Deformation and fracture processes in different materials, including a polycrystalline aluminium alloy, a metal matrix composite, steel with coating and coal were numerically studied.
A special procedure we developed in [2] to introduce a three-dimensional heterogeneity in the calculations has been applied to design 3D-structures of the materials above. 3D-calculations of the elasto-plastic deformation and fracture of the materials under loading have been performed in a dynamic formulation of the problem, using the method of a finite-difference approximation. Stress relaxation and strain hardening as well as defect nucleation at the interfaces and cracking were taken into account through model formulations and criteria of yield and fracture. Results of the 3D-calculations have been analysed in details and compared with those obtained from the 2D-approximation. The analysis of material deformation and fracture at different scale levels have been made on the base of the mesomechanical concept [1].

[1] Makarov P.V., Schmauder S., Cherepanov O.I., Smolin I.Yu., Romanova V.A., Balokhonov R.R., Saraev D.Yu., Soppa E., Kizler P., Fischer G., Hu S., Ludwig M. Simulation of elastic plastic deformation and fracture of materials at micro-, meso- and macrolevels, Theoret. Appl. Fract. Mech., 2001, V. 37, N. 1-3, P. 183-244.
[2] V. Romanova, R. Balokhonov, P. Makarov, S. Schmauder and E. Soppa, Simulation of elasto-plastic behaviour of an artificial 3D-structure under dynamic loading. Comput. Mater. Sci. 2003. V.28. Issues 3-4. P. 518-528.

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