Universal Variable in Creep Problems

The operator variable named a universal variable is introduced, which makes it possible to transfer from the initial partial differential equation to the ordinary differential equation and further to the analysis of two modes of motion in problems of creep theory. These direct and inverse transfers allow the stability characteristics to be determined qualitatively.

References

[1] Romanov K.I. Buckling of nonlinear viscous bars. Raschety na prochnost’ - Strength Analysis, 1993, vol. 33, pp. 139–151 (in Russian).

[2] Stanyukovich K.P. Neustanovivshiesya dvizheniya sploshnoy sredy [Unsteady motion of a continuum]. Moscow, Nauka Publ., 1971, 854 p.

[3] Brebbia C.A., Walker S. Boundary element techniques in engineering, London, 1980, 210 p. (Russ. ed.: Brebbiya K., Uoker S. Primenenie metoda granichnykh elementov v tekhnike. Moscow, Inostrannaya literatura Publ., 1982, 248 p.)

[4] Romanov K.I. Static statement of the stability problem under creep. Mechanics of solids, 2008, vol. 43, no. 2, pp. 277–282. doi: 10.3103/S0025654408020143