arXiv subjects
Publications and source records attributed to I. Fesenko.
Polyhedra called Siamese dipyramids are known to be non-flexible, however their physical models behave like physical models of flexible polyhedra. We discuss a simple mathematical method for explaining the model flexibility of the Siamese dipyramids.
The synthesis of MgB2-based materials under high pressure gave the possibility to suppress the evaporation of magnesium and to obtain near theoretically dense nanograined structures with high superconducting, thermal conducting, and mechanical characteristics: critical current densities of 1.8-1.0 \cdot 106 A/cm2 in the self field and 103 A/cm2 in a magnetic field of 8 T at 20 K, 5-3 \cdot 105 A/cm2 in self field at 30 K, the corresponding critical fields being HC2 = 15 T at 22 K and irreversible fields Hirr =13 T at 20 K, and Hirr =3.5 T at 30 K, thermal conduction of 53+/-2 W/(m \cdot Îș), the Vickers hardness Hv=10.12+/-0.2 GPa under a load of 148.8 N and the fracture toughness K1C = 7.6+/-2.0 MPa m0.5 under the same load, the Young modulus E=213 GPa. Estimation of quenching current and AC losses allowed the conclusion that highpressure-prepared materials are promising for application in transformer-type fault current limiters working at 20-30 K.