We study the problem of wear of a rotationally symmetric profile subjected to oscillations with small amplitude. Under these conditions, sliding occurs at the boundary of the contact area while the inner parts of the contact area may still stick. In a recent paper, Dimaki with colleagues proposed a numerically exact simulation procedure based on the method of dimensionality reduction (MDR). This drastically reduced the simulation time compared with conventional finite element simulations. The proposed simulation procedure requires carrying out the direct and the inverse MDR transformations in each time step. This is the main time consuming operation in the proposed method. However, solutions obtained with this method showed a remarkable simplicity of the development of wear profiles in the MDR space. In the present paper, we utilize these results to formulate an approximate model, in which the wear is simulated directly in the onedimensional space without using integral transformations. This speeds up the simulations of wear by further several orders of magnitude.

Методами численного моделирования исследовано влияние размера зерна на характеристики деформационного рельефа, возникающего на поверхности поликристаллических образцов в условиях одноосного растяжения. Показано, что размер зерна влияет на высоту и ширину рельефных складок, возникающих на свободной поверхности. Проведен анализ эволюции рельефных образований в процессе нагружения с использованием методов математической статистики.The paper reports on numerical study that shows that the grain size affects qualitative and quantitative characteristics of the deformation relief formed on the surface of polycrystalline specimens under uniaxial tension. The evolution of relief patterns under loading is analyzed by methods of mathematical statistics.

In the work, we experimentally determined the characteristic prefracture time of gabbro specimens in three-point bending. The obtained prefracture time was used to estimate the parameters in a model of brittle and quasibrittle material. Based on the verified model, numerical modeling was performed to describe the stress-strain evolution in gabbro specimens under three-point bending. The experiment and numerical calculations show that the final deformation stage involves beam deflection in blowup mode.

We study the problem of wear of a rotationally symmetric profile subjected to oscillations with small amplitude. Under these conditions, sliding occurs at the boundary of the contact area while the inner parts of the contact area may still stick. In a recent paper, Dimaki with colleagues proposed a numerically exact simulation procedure based on the method of dimensionality reduction (MDR). This drastically reduced the simulation time compared with conventional finite element simulations. The proposed simulation procedure requires carrying out the direct and the inverse MDR transformations in each time step. This is the main time consuming operation in the proposed method. However, solutions obtained with this method showed a remarkable simplicity of the development of wear profiles in the MDR space. In the present paper, we utilize these results to formulate an approximate model, in which the wear is simulated directly in the one-dimensional space without using integral transformations. This speeds up the simulations of wear by further several orders of magnitude.

Изучены закономерности деформационного поведения ультрамелкозернистого алюминиевого сплава, полученного интенсивной пластической деформацией. Показано, что в сравнении с ультрамелкозернистым алюминием выделяющиеся в объеме и на границах зерен сплава частицы вторичных фаз препятствуют развитию зернограничного проскальзывания и локализации пластической деформации. Это приводит к увеличению протяженности стадии деформационного упрочнения и соответствующему повышению величины равномерного удлинения в гетерофазном алюминиевом сплаве по сравнению с чистым алюминием.

Shock fracture mechanisms of different scales were investigated on epoxy composite materials reinforced with silicon carbide microparticles of different concentrations. It is shown that the high heterogeneity of the epoxy composites at different structural scales is one of the factors responsible for their physical and mechanical properties. Under dynamic loading, the material reveals a developed structural scale hierarchy which provides self-consistent deformation and fracture of the material bulk with the lead of rotational deformation modes. As a result, microcracks develop due to low shear strain limited in addition by reinforcing particles. At the start of a main crack, microscale mechanisms dominate, whereas the propagation of its front is governed by macroscale fracture mechanisms.

The paper studies the formation of strain-induced roughness on an initially flat surface of materials with a modified surface layer in tension. The dynamic boundary value problem of mechanics is solved numerically by the finite difference method for plane strain. The curvilinear surface layer substrate interface is specified explicitly in the calculations. The mechanical response of the steel substrate and surface layer is described by elastoplastic models with isotropic hardening and elastic-brittle fracture models, respectively. The surface roughness shape and amplitude are found to depend on the thickness of both elastic and high-strength plastic layers with sinusoidal geometry of the hardened layer-substrate interface.