This monograph treats prognosis of thermoinelastic properties essential for design of polymeric composite materials reinforced by spherical radially inhomogenous inclusions ("functionally graded composites"). The key subjects are: 1. synthesis of composites based on model systems with regular and singular transition layers; 2. a development of software for finding effective viscoelastic characteristics; 3. analysis of viscoelastic behavior of impact resistant and vibrodamping polymeric systems with regular and anomalous behavior; 4. a prognosis method with wide variation of filler...