Multiscale statistical laws of dynamic fragmentation

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.     

Mechanical properties and energy dissipation in ultrafine-grained AMts and V95 aluminum alloys during dynamic compression

The thermomechanical characteristics of ultrafine-grained AMts and V95 aluminum alloys with an average crystallite size of 200–600 nm are experimentally studied during dynamic compression. The alloys are fabricated by dynamic channel angular pressing. It is found that the deformation history of the alloys and the initial characteristics of their structural state affect the subsequent plastic deformation and the dissipation of applied energy. The studies of the thermodynamics of deformation in combination with structural investigations before and after dynamic compression allowed us to reveal the main structural relaxation mechanisms in the materials during dynamic compression and to determine the dissipation abilities of various defect structures.     

Kommutative symmetrische Operatorenalgebren in Pontryaginschen RäumenII k

Ohne ZusammenfassungHerrnGottfried Köthe zum 60. Geburtstag am 25. 12. 1965 gewidmet