Mathematical models of non-elastic deformation and destruction of materials and structural elements; new methods for solving boundary value problems of deformable solid mechanics and fluid and gas mechanics (analytical, approximate, numerical); stochastic mathematical models of non-elastic deformation of structural elements, methods for identifying model parameters with random and deterministic parameters; mathematical models for estimating the residual resourse of structural elements by parametric and catastrophic failure criteria; reliability of mechanical systems with complex rheological properties under quasi-static and cyclic loading conditions; mathematical models of pressing of powder materials.
Main publications:
Polzuchest i relaksatsiya ostatochnykh napryazhenii v uprochennykh konstruktsiyakh / V. P. Radchenko, M. N. Saushkin. - Moskva : Mashinostroenie, 2005. - 226 s.; ISBN 5-94275-244-3