Convergence of the method of elastic solutions in the theory of thin shells on an elastic foundation. (English. Russian original) Zbl 0617.73060

Martynova, E. D.

Mosc. Univ. Mech. Bull. 40, No. 1, 37-40 (1985); translation from Vestn. Mosk. Univ., Ser. I 1985, No. 1, 102-104 (1985).

The author proves the convergence of the iterative process defined by the method of elastic solutions, in the theory of thin-walled elastic-plastic shells with an elastic foundation. An approximate method for taking accont of compressibility of the material, based on the assumption that the generalized Poisson’s ratio is constant, is proposed.

MSC:

74K15	Membranes
45L05	Theoretical approximation of solutions to integral equations

Keywords:

generalized solution; Sobolev space; Bunyakovskij inequality; convergence; iterative process; method of elastic solutions; thin-walled elastic-plastic shells; elastic foundation; compressibility

Citations:

Zbl 0224.73049