Naprężenie w Sprężysto-Plastycznej Kuli z Pustka Kulistą, Znajdującej się w Zmiennym Polu Temperatur

Downloads

Authors

  • B. Raniecki Instytut Podstawowych Problemów Techniki, Poland

Abstract

The stress (instantaneous and final) in the body under consideration is produced by a heating- cooling process at the outer surface of the body. Assuming linear strain-hardening, the influence of the temperature on the physical properties of the material is disregarded. The problem is considered to be quasi-static. The determination of the borders between time-variable regions in the material is reduced to the solution of a set of equations, one of which is an ordinary differential equation of the 1-st order and the other – a functional equation. The solution for the full spherical body
is obtained as a particular case.

References

1. В. Ломакин, Упруго-пластическое равновесие шара в нестационарном температурном
поле, Пртш, Мат. Мех., 2, 19 (1955).
2. H. PARKUS, Spannungen bein Abkuhlen einer Kugel, Ing-Arch., 28 (1959), 251-254.
3. B. RANIECKI, A quasistatic, spherically symmetric problem of thermoplasticity, Bull. Acad. Poion. Sci., Série Sci. Tech., 2, 13 (1965).
4. 4. Л. Л. Лунц, Распространение сферических упруго-пластических волн, Дрикл, Мат. Мех., 1. 13 (1949).