Variational statements of a statical problem of the elasticity theory under the preset external forces

Authors

  • I. N. Molchanov Ин-т кибернетики АН УССР, Киев
  • E. F. Galba Ин-т кибернетики АН УССР, Киев

Keywords:

-

Abstract

The initial-value problem is considered for the equations of elastic equilibrium of moving bodies when stresses are specified on the surface of the body. Two variational problems that may be solved in unique fashion over the entire space are formulated for this problem, which is known to possess a unique solution in a subspace.

References

1. Михлин С. Г. Проблема минимума квадратичного функционала.—М.;Л.: Гостехтеоретиздат, 1952.— 216 с.

2. Михлин С. Г. Вариационные методы в математической физике.— М. : Наука, 1970.— 512 с.

3. Дюво Г., Лионе Ж.-Л. Неравенства в механике и физике.— М. : Наука, 1980.— 384 с.

4. Фикера Г. Теоремы существования в теории упругости.— М. : Мир, 1974.— 160 с.

5. Molchanov I. N.. Galba Е. F. On finite element methods for the Neumann problem // Numer. Math.— 1985,— 46, N 4,— P. 587—598.

Downloads

Published

30.06.2025

Issue

Vol. 43 No. 2 (1991)

Section

Research articles

License

Copyright (c) 1991 И. Н. Молчанов , Е. Ф. Галба

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Molchanov , I. N., and E. F. Galba. “Variational Statements of a Statical Problem of the Elasticity Theory under the Preset External Forces”. Ukrains’kyi Matematychnyi Zhurnal, vol. 43, no. 2, June 2025, pp. 158-61, https://umj.imath.kiev.ua/index.php/umj/article/view/9350.