title: ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð² Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ð¸ ÑÑÐµÐ½ÐºÐ¸ ÑÑÑÐ±Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð° Ð´Ð»Ñ Ð½ÐµÑÑÐ¸ Ð¸ Ð³Ð°Ð·Ð° Ð¸Ð· Ð¿Ð¾Ð»Ð¸Ð¼ÐµÑÐ½ÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Mathematical modeling in design of oil and gas pipeline wall made of polymer composite materials
Creators: name: ÐÑÑÐ°Ð¼ÐµÑÐ¾Ð²Ð°, ÐÐ¾Ð»Ð¸Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: ÐÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ñ Ð¿Ð¾Ð»Ð¸Ð¼ÐµÑÐ½ÑÐµ
ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¢ÑÑÐ±Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ñ
Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¼Ð¸ÐºÑÐ¾Ð¼ÐµÑ Ð°Ð½Ð¸ÐºÐ¸
Ð¼ÐµÑ Ð°Ð½Ð¸ÐºÐ° ÑÐ»Ð¾Ð¸ÑÑÑÑ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð²
Ð¿ÑÐ°Ð²Ð¸Ð»Ð¾ ÑÐ¼ÐµÑÐµÐ¹
Ð»Ð°Ð¼Ð¸Ð½Ð°Ñ
Ð¿Ð¾Ð»Ð¸Ð¼ÐµÑÐ½Ð¾-Ð°ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ ÑÑÑÐ±Ð°
ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ½Ð°Ñ ÑÑÑÐ±Ð°
Ð¼ÐµÑ Ð°Ð½Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð°
micromechanics models
mechanics of layered materials
rule of mixtures
laminate
fiber-reinforced polymer pipe
composite pipe
mechanical properties

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð° ÑÐ°ÑÑÐµÑÐ½Ð°Ñ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° ÑÑÐµÐ½ÐºÐ¸ Ð½ÐµÑÑÑÐ½Ð¾Ð³Ð¾ ÑÑÑÐ±Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð° Ð¿Ð¾Ð´ Ð´ÐµÐ¹ÑÑÐ²Ð¸ÐµÐ¼ Ð²Ð½ÑÑÑÐµÐ½Ð½ÐµÐ³Ð¾ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð¾Ð±Ð·Ð¾Ñ ÑÑÑÐµÑÑÐ²ÑÑÑÐ¸Ñ Ð¿Ð¾Ð»Ð¸Ð¼ÐµÑÐ½Ð¾-Ð°ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ ÑÑÑÐ±. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¾ÑÐºÑÑÑÑÑ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð² Ð±ÑÐ»Ð¸ Ð²ÑÐ±ÑÐ°Ð½Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½ÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð°, Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÐµÐ¼ÑÐµ Ð´Ð»Ñ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´ÑÑÐ²Ð° ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ½ÑÑ ÑÑÑÐ± Ð² Ð½ÐµÑÑÐµÐ³Ð°Ð·Ð¾Ð²Ð¾Ð¹ Ð¾ÑÑÐ°ÑÐ»Ð¸. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð¾Ð±Ð·Ð¾Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹ Ð¼Ð¸ÐºÑÐ¾Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ Ð²Ð¾Ð»Ð¾ÐºÐ½Ð¸ÑÑÑÑ ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð². ÐÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° Ð¼Ð¾Ð½Ð¾ÑÐ»Ð¾Ñ Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð° Ð´Ð¸Ð°Ð³ÑÐ°Ð¼Ð¼Ð° ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ°Ð·ÑÐ° Ð² Ð¿ÑÐ¾Ð´Ð¾Ð»ÑÐ½Ð¾Ð¼, Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð¼ Ð¸ ÑÐ´Ð²Ð¸Ð³Ð¾Ð²Ð¾Ð¼ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸ÑÑ Ð¿Ð¾ Ð¿ÑÐ°Ð²Ð¸Ð»Ñ ÑÐ¼ÐµÑÐµÐ¹. ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð¼ÐµÑÐ¾Ð´ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ Ð´Ð¸Ð°Ð³ÑÐ°Ð¼Ð¼Ñ ÑÐ°ÑÑÑÐ¶ÐµÐ½Ð¸Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð° Ñ ÑÑÐµÑÐ¾Ð¼ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð³Ð¾ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½ÐµÐ½Ñ ÑÐ¸ÑÑÐµÐ¼Ñ. ÐÐµÑÐ¾Ð´Ð¾Ð¼ Ð¼Ð¾Ð»ÐµÐºÑÐ»ÑÑÐ½Ð¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÐºÐ¸ Ð±ÑÐ»Ð° Ð¸Ð·ÑÑÐµÐ½Ð° Ð´Ð¸ÑÑÑÐ·Ð¸Ñ Ð¼ÐµÑÐ°Ð½Ð° ÑÐµÑÐµÐ· Ð¿Ð¾Ð»Ð¸Ð¼ÐµÑÐ½ÑÐ¹ ÑÐ»Ð¾Ð¹. ÐÐ¿Ð¸ÑÐ°Ð½Ð° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ»Ð¾Ð¸ÑÑÐ¾Ð³Ð¾ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ°. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð° Ð·Ð°Ð´Ð°ÑÐ° Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾-Ð´ÐµÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð·Ð¸ÑÐ½Ð¾Ð¹ ÑÑÑÐ±Ñ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÑÐµÐ¼ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ°ÑÑÐµÑÐ° Ñ ÐºÐ¾Ð½ÐµÑÐ½Ð¾-ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ¾Ð¹.
description: This paper presents a calculation methodology for the wall of an oil pipeline under the action of internal pressure. A review of existing composite pipes has been carried out. As a result of analyzing open sources, the composite material components used for composite pipe production in the oil and gas industry have been selected. Various micromechanics models of fiber composite materials were reviewed. The effective properties of monolayer are determined and the tensile diagram of composite sample in longitudinal, transverse and shear directions according to the rule of mixtures is obtained. A method for obtaining the tensile diagram of a composite material taking into account the nonlinear behavior of the system components was proposed. The diffusion of methane through a polymer layer was studied by the molecular dynamics method. The mathematical model of layered laminate is described. The problem of stress-strain state of a composite pipe has been considered. Verification of the obtained solution by comparing analytical calculation with finite element formulation has been carried out.