ISSN 0021-8944, Journal of Applied Mechanics and Technical Physics, 2018, Vol. 59, No. 1, pp. 163–167.
Pleiades Publishing, Ltd., 2018.
Original Russian Text
LONG-TERM STRENGTH OF A THICK-WALLED PIPE FILLED WITH
AN AGGRESSIVE MEDIUM, WITH ACCOUNT FOR DAMAGEABILITY
S. A. Piriev
Abstract: This paper describes the study of scattered fracture of a thick-walled pipe ﬁlled with an
aggressive medium, which creates uniform pressure on the inner surface of the pipe. It is assumed
that the aggressive medium aﬀects only the value of instantaneous strength. Damageability is de-
scribed by an integral operator of the hereditary type. The problem is solved with allowance for
residual strength of the pipe material behind the fracture front. Numerical calculation is carried out,
and relationships between the fracture front coordinate and time for various concentrations of the
aggressive medium and residual strength behind the fracture front are constructed.
Keywords: aggressive medium, concentration of an aggressive medium, stress intensity, damage-
When it comes to determining long-term strength of thick-walled pipes with ﬁllers, the chemical activity of
ﬁllers is usually neglected. How an aggressive medium can aﬀect the creep of a pipe material is the subject of [1–3].
The study of the problem of fracture of a pipe material is carried out using the Suvorova–Akhundova model of a
hereditarily damaged solid in . The eﬀect of the degree of aggression of a ﬁller on the process of formation and
development of a fracture front in the assumption of total loss of bearing capacity of a pipe material behind this
front is also described in . In this paper, this problem is solved under the condition of the presence of residual
strength behind the fracture front. As in , it is assumed that the aggression of the ﬁller decreases the short-term
strength limit σ
, whose relationship with the concentration C of the aggressive medium is determined by the
(1 − γC),
where γ is the empirical constant.
It is also assumed that the concentration of the aggressive medium is distributed over the pipe thickness
according to the linear law
b − r
b − a
Here a and b are the inner and outer radii of the pipe, respectively, r is the current radius of the pipe, and C is the
concentration of the aggressive medium that belongs to the value of concentration on the inner surface [C(a)=1
Baku State University, Baku, AZ-1148 Azerbaijan; firstname.lastname@example.org. Translated from Prikladnaya
Mekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 1, pp. 189–194, January–February, 2018. Original article sub-
mitted March 30, 2016; revision submitted October 19, 2016.
2018 by Pleiades Publishing, Ltd.