The driving force of development of intercalation chemistry is significant improvement of properties of fabricated nanocomposites and design of materials with new properties. Forming hybrid structures (sometimes called "ship-in-the-bottle") define important functional characteristics: improved mechanical strength (increase in modulus), enhanced stiffness, heat resistance (decrease in thermal expansion coefficient), heat stability, and other thermal physical properties, water resistance, interesting barrier properties for gas separation, high flame and fire resistance, electric and electrochemical behavior, size stability, chemical stability, different from the simple additive properties [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20].Hybrid-phase nanocomposites [21] are not only of academic, but of commercial interest, because they posses improved mechanical and thermal properties as compared with the same content of conventional fillers (such as carbon soot or deposited silica gel). The methods of production of hybrid nanocomposites from polymer solutions or polymerization in situ in combination with delamination and exfoliation were already studied at the end of the last century (for example, [22,23]). However, there were technological drawbacks: these methods had low correlation with polymer production and demanded great amounts of organic solvents. At the beginning of 1990s more convenient technique appeared on the basis of PEO (polyethylene-oxide) and MMT (montmorillonite), which advantageously demonstrated the intercalation process in the polymer melt, as well as potential applications of the obtained products in solid phase electrolytes of recharged lithium batteries.However, highly promising commercial strategy in this problem was formulated after the group of researchers of Toyota company [24][25][26] had found extraordinary strengthening of mechanical properties of polymer-layered nylon-based nanocomposites, which was caused by extremely large surface contacts of the ingredients and high aspect ratio reached in the intercalation/exfoliation process, and by homogenous dispersion of silica plates in the polymer matrix [27,28]. On the one hand, these functional materials have a relation to nanocomposites via