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Volume 20, Nº 1 (2017)

Article

Multiscale statistical laws of dynamic fragmentation

Naimark O., Uvarov S., Davydova M., Bannikova I.

Resumo

Dynamic fragmentation scaling is analyzed using basic statistical distributions and statistical models that take into account the role of wave effects on the fragment size. The application of symmetry analysis to the modeling of solids with defects based on self-similar solutions for stress and defect density fields is discussed. Fragmentation statistics is described as critical phenomena during evolution of the defect system.

Physical Mesomechanics. 2017;20(1):90-101
pages 90-101 views

Multiscale space-time dissipative structures in materials: Two-electron genesis of nonequilibrium electromechanical interfaces

Beznosyuk S., Zhukovsky M.

Resumo

The fundamental supra-atomic scale of nanometer attosecond processes in condensed matter creates a multiscale hierarchy of electromechanical interfaces through two-electron dissipation of energy of quantum nanoelectromechanical systems. The space-time scales of electromechanical interfaces are specified, beginning with the subatomic scale of electron Compton length λe, by a sequence of degrees n = 1, 2, 3,... of the fine structure constant α -n. The third scale, with n = 3, corresponds to quantum mesoelectromechanical 2D interfaces which form functional matrices of electromechanical energy stores and converters as active nucleation centers of fractal topological defects in adjacent crystal structure regions. The hierarchy of electromechanical interfaces creates a hierarchy of dissipative structures in mesomechanics of solids and biomimetics of soft materials.

Physical Mesomechanics. 2017;20(1):102-110
pages 102-110 views

Similarity criteria and scales for crystals

Barenblatt G., Golitsyn G.

Resumo

Physical nature is discussed of the universal crystal linear nanoscale introduced previously by G.I. Barenblatt and P. Monteiro. Connection is demonstrated of this scale with the quantum uncertainty relation.

Physical Mesomechanics. 2017;20(1):111-114
pages 111-114 views

Scale invariance of plastic deformation of the planar and crystal subsystems of solids under superplastic conditions

Egorushkin V., Panin V.

Resumo

The theory of structural transformations in the planar sybsystem (surface layers and internal interfaces) of solids under plastic deformation is developed. The theory is based on a consideration for local curvature of the crystal lattice, with new structural states arising in its interstices, responsible for plastic distortion. To satisfy the superplastic condition, such high-rate mechanisms should develop in both planar and 3D crystal subsystems. In a translation-invariant crystal, this condition is met by concentration fluctuations. The multiscale criterion of superplasticity is formulated based on the scale invariance of plastic deformation of the planar and crystal subsystems in a deformable solid. Beyond the criterion, superplasticity passes to the creep mode with restricted plasticity of the material.

Physical Mesomechanics. 2017;20(1):1-9
pages 1-9 views

Collective properties of defects, multiscale plasticity, and shock induced phenomena in solids

Naimark O., Bayandin Y., Zocher M.

Resumo

A statistically based approach is developed for the construction of constitutive equations that provides linkages between defect-induced mechanisms of structural relaxation, thermally activated plastic flow, and material response to extreme loading conditions. The collective properties of defects have been studied to establish the interaction of multiscale defect dynamics and plastic flow, and to explain the mechanisms leading to the universal self-similar structure of shock wave fronts. Pn explanation for structural universality of the steady-state plastic shock front (the four power law) and the self-similarity of shock wave profiles under reloading (unloading) is proposed. Structural characterization under transition from thermally activated dislocation glide to nonlinear dislocation drag effects is developed in terms of scaling invariants (effective temperatures) related to mesodefect induced morphology formed during the different stages of plastic deformation.

Physical Mesomechanics. 2017;20(1):10-30
pages 10-30 views

Multiscale structural relaxation and adiabatic shear failure mechanisms

Froustey C., Naimark O., Panteleev I., Bilalov D., Petrova A., Lyapunova E.

Resumo

Stages of plastic shear instability and adiabatic shear failure are associated with the initiation of collective modes of defect ensembles that have a self-similar nature of autosoliton and "blow-up" structures. Experimental and structural studies have confirmed simulation results for the stages of plastic strain localization and adiabatic shear failure based on the constitutive equations that relate structural relaxation and failure mechanisms to the formation of multiscale collective modes in defect ensembles.

Physical Mesomechanics. 2017;20(1):31-42
pages 31-42 views

From the soft matter-hard matter interface to bio-self-organization and hybrid systems

Tsukanov A., Psakhie S.

Resumo

The molecular investigation of the interaction of charged and neutral biomolecules with 2D-nanostructures of aluminum oxyhydroxide characterized by curvature and defects is performed. Steered molecular dynamics and the potential of mean force analysis are used for quantitative assessment of adsorption properties of the aluminum oxyhydroxide (AlOOH) nanosheet surface for typical representatives of anionic, cationic and uncharged biomolecules—amino acid residues. The results are analyzed and compared with the literature data and own previous results. Unbiased molecular dynamics is employed to estimate radial distribution functions of different atom pairs of the AlOOH nanosheet surface and adsorbate surface as well as to study how curvature and surface defects in the form of vacancies of hydroxyl groups influence the interaction of the nanomaterial with monovalent ions. The combined molecular dynamics and quantum mechanical calculation reveals characteristic structural elements with different curvature of the AlOOH nanosheet and enables an estimation of the effect of edge zones in the form of folds on local electrostatic properties of the nanomaterial. The role of these factors in the selective adsorption of nanomaterials and future directions of numerical and experimental studies are discussed. The work is a further investigation into the synthesis, characterization, and application of low-dimensional nanostructures with complex morphology based on layered aluminum (oxy)hydroxide in biomedicine and materials science.

Physical Mesomechanics. 2017;20(1):43-54
pages 43-54 views

Scale invariance of structural transformations in plastically deformed nanostructured solids

Panin V., Panin A., Pochivalov Y., Elsukova T., Shugurov A.

Resumo

The scale-invariant mechanical behavior of a nanostructured solid is associated with plastic distortion as a major mechanism of nano- and microscale structural transformations. Active grain boundary sliding in a deformed material (microscale) within its highly developed planar subsystem (nanograin boundaries) causes a progressive increase in lattice curvature and plastic distortion of atoms which produces nonequilibrium vacant sites in the nanostructure. The motion of nonequilibrium point defects in nanostructure curvature zones provides conditions for noncrystallographic plastic flow, dissolution or dispersion of initial phases, and formation of nonequilibrium phases in a deformed material. The possibility of reversible structural phase transformations in the presence of high lattice curvature opens the way to greatly increase the fatigue life of surface nanostructured polycrystalline materials.

Physical Mesomechanics. 2017;20(1):55-68
pages 55-68 views

Multiscaling of lattice curvature on friction surfaces of metallic materials as a basis of their wear mechanism

Panin V., Pinchuk V., Korotkevich S., Panin S.

Resumo

A comprehensive structural study has been performed to explore deformation and wear debris formation on friction surfaces of metallic materials. A hierarchy of structural scales of plastic deformation and failure during wear has been established. The nanoscale plays the major role in the hierarchical self-organization of multiscale debris formation processes. On this scale, bifurcational interstitial states arise in zones of local lattice curvature, with plastic distortion and motion of nonequilibrium point defects which determine the nonlinear dynamics of structure formation and wear of surface layers. Nonequilibrium vacancies on lattice sites form microporosity through the coalescence mechanism under plastic distortion. The microporosity is a precursor of meso- and macroscale plastic shearing that defines wear debris formation.

Physical Mesomechanics. 2017;20(1):69-77
pages 69-77 views

Experimental and theoretical study of multiscale damage-failure transition in very high cycle fatigue

Betekhtin V., Kadomtsev A., Narykova M., Bannikov M., Abaimov S., Akhatov I., Palin-Luc T., Naimark O.

Resumo

Multiscale mechanisms of failure of metals (Armco iron, titanium, aluminum) are studied for high cycle and very high cycle fatigue. By correlating with the results of structural studies, a theoretical approach is developed to describe fatigue crack kinetics in damaged material under high cycle and very high cycle fatigue loading conditions. Stages of crack nucleation and propagation are analyzed using the profilometry data from the fracture surface. The scale invariance of fracture surface roughness is established, which allows an explanation of the self-similar nature of fatigue crack kinetics under high cycle and very high cycle fatigue. Variation of elastic-plastic properties of Armco iron under very high cycle fatigue is studied using an acoustic resonance method. It is found that the material density decreases during fatigue damage accumulation, with the minimum of the material density in the bulk of the specimen.

Physical Mesomechanics. 2017;20(1):78-89
pages 78-89 views

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