Hereditary mechanics is a section of continuum mechanics in which such processes are studied when the state of a mechanical system depends on the history of actions performed on a system. The mathematical apparatus of hereditary mechanics is the theory of integral equations , fractional differential equations . The main object of study of hereditary mechanics are viscoelastic media and materials.
Literature
- Yu. N. Rabotnov , “Elements of hereditary mechanics of solids” M .: Nauka, 1977. - 384 p.
- Yu. N. Rabotnov , “Mechanics of a deformable solid body”, 3rd ed. M .: Science, 1988. - 712 p. Chapter 17
- V. V. Kolokolchikov, “Mappings of Memory Functionals” M .: URSS, 2001. - 224 p.
- A. A. Lokshin, Yu. V. Suvorova , “The Mathematical Theory of Wave Propagation in Media with Memory” M .: MGU, 1982. - 153 p.
- A. B. Volintsev, “Hereditary mechanics of dislocation ensembles. Computer models and experiment ”Irkutsk: Publishing house of Irkutsk University, 1990. - 288 p.
- F. B. Badalov, "The method of power series in the nonlinear hereditary theory of viscoelasticity" Tashkent: Fan, 1980. - 220 p.
- FB Badalov, “Methods for solving integral and integrodifferential equations of the hereditary theory of viscoelasticity” Tashkent: Mehtan, 1987. - 271 p.
See also
- Heredarity
- Viscoelasticity
- Shape memory effect
- Rabotnov, Yury Nikolaevich