Titenkov A. The fractal aspects of the contribution of texture and defect structure to the anisotropy of physical properties of materials

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U006535

Applicant for

Specialization

  • 01.04.07 - Фізика твердого тіла

24-11-2012

Specialized Academic Board

К 41.053.07

Essay

The fractal aspects of the contribution of a texture and defects of crystalline structure in anisotropy of an elastic aftereffect, an initiation stage of creep, fatigue failure of some construction materials (aluminum, copper, alloys Fe-3 of % Si, VT1-0, AZ31) were researched. The fractal nature of processes of short-range ordering in non-equilibrium system of Cu-Ni has revealed in the course of mechanical and thermal influence on metal system in the conditions of far from balance. The fractal nature of fatigue failure of aluminum, copper and magnesium alloy AZ31 is established. Fractal dimensionality of investigated fractures depending from the ratio of deformation at the rolling varied from 1,06 to 1,34. The critical sizes R of fractal cracks of aluminum were changed in limits from 0,11 microns (fractal dimensionality Dav. = 1,2) to 1,5 microns (Dav. = 1,06); for copper - from 6 microns (Dav. = 1,23) to 0,16 mm (Dav. = 1,06).The critical sizes R of fractal cracks for an alloy of magnesium AZ31 has varied in limits from 44 nanometers to 64 nanometers for Dav. = 1,34 that testifies to the considerable propensity of this alloy to brittle fracture. It is found the anisotropy of limit of endurance in a plane of sheets of aluminum, copper and alloy AZ31 during of zeroth of asymmetric cycle of tests. There were found that a minimal value of endurance limit is found in a diagonal direction, the intermediate value is in a rolling direction; a maximum is in a cross direction that is caused by presence in tested materials of crystallographic and structural texture. The mathematical algorithm is suggested and the computer program is developed for modeling of fractal surfaces of corrupting of metal materials. It is shown that establishment of the negative short-range order (short-range stratification), which have speed maximum at 4500С, accompanied by anomalous falling of electrical resistance and hardening in an alloy of system of copper and nickel, with a high probability is caused by self-organizing of nickel atoms in fractal clusters with number of particles in them from 2 to 10 and fractal dimensionality from 1,10 to 2,89.

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