The results of developing the process of SHS extrusion in order to produce long dimensional products of brittle and hardly deformed powders of refractory inorganic compounds are presented. In this process, the synthesis of material and the formation of billets takes few seconds in a single technological cycle. The experimental study of the rheological behavior of SHS materials and their ability to plastic deformation at high temperature region are discussed. A review of the experimental studies concerning the issue of the structure formation and properties of extruded SHS materials is presented. The main aspects of the mathematical simulation of SHS extrusion and pressing are highlighted, which were the key to correctly understanding the regularities of the high-temperature compression and molding final products from the combustion products. There are examples of the practical application of the developed SHS extrusion method for manufacturing the long-dimensional products using new multifunctional materials, including composite ceramic materials with nanosized structural elements; materials based on the MAX phase of the titanium system, i.e., aluminum-carbon; and intermetallides based materials.
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