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A set of multiscale numerical simulations of deformation and fracture in non-homogeneous materials under loading has been performed, including the development of microstructural constitutive models, finite-difference and finite-element solution of the boundary-value problems, and mesomechanical analysis of the results.

Numerical investigations have been carried out for polycrystalline steels, titanium and aluminum alloys, welded steels and Ni-based superalloys, coated and surface-modified materials, friction stir welds of aluminum alloys, metal matrix composites, porous ceramics and others.

A number of phenomena have been simulated and examined, including Luders band propagation in steels, Portevin Le Chatellie effect in aluminum alloys, deformation-induced roughening, hot cracking under fusion welding, the Hall-Petch effect and so on. A role of microstructure and interfaces of different types and scale lengths in the strain localization and fracture.

Investigations were accomplished in the frame of priority R&D Federal scientific programs and supported by Russian Foundation for Basic Research, Russian Science Foundation, grant of the President of Russian Federation for Young Doctors of Science, Deutsche Forschungsgemeinshaft, Ministry of Science and Higher Education and Presidium of RAS.
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