Analytical and Numerical Modelling of Creep Deformation of Viscoelastic Thick-Walled Cylinder with Fractional Maxwell Model.

Xiang Ding,Yan Zhang,Fan Zhang,Na Chen

doi:10.3390/ma14174849

Abstract

The deformation of a thick-walled cylinder under pressure is a classic elastic mechanics problem with various engineering applications. In this study, the displacement of a viscoelastic thick-walled cylinder under internal pressure is investigated via analytical as well as numerical modelling. The fractional Maxwell model is initially introduced to describe the creep deformation of high-strength Q460 steel. Subsequently, an analytical solution to the creep deformation of the thick-walled cylinder under both internal and external pressures is deduced with the corresponding principle. The analytical solution is examined with a numerical simulation that incorporates the fractional Maxwell model by a user-defined subroutine. The numerical simulation agrees well with the analytical solution. The limitations of the current study are also discussed.

Highlights

Thick-walled cylinders are widely used in the petrochemical industry, in natural gas, in high-pressure hydraulic systems and in other structures, such as high-pressure oil pipes, petrochemical pressure vessels, heat exchange tubes, storage vessels, nuclear reactor pressure vessels, cannon barrel, steam pipelines and functionally graded materials [1,2].These internally pressured, thick-walled cylindrical vessels usually operate under hightemperature and high-pressure steam conditions; creep deformation is considered one of the main failure mechanisms of these structures.The creep deformation of thick-walled cylinders has been intensively investigated.Shinozuka [3] studied the stresses in an incompressible viscoelastic–plastic thick-walled cylinder
The viscoelastic deformation of a thick-walled cylinder under internal pressure is investigated via analytical modelling and numerical simulation
Compared to the traditional integer Maxwell model, the fractional Maxwell model is an efficient nonlinear model to capture the essence of creep deformation of steels both in the transient and the steady-state stages

Summary

Introduction

Thick-walled cylinders are widely used in the petrochemical industry, in natural gas, in high-pressure hydraulic systems and in other structures, such as high-pressure oil pipes, petrochemical pressure vessels, heat exchange tubes, storage vessels, nuclear reactor pressure vessels, cannon barrel, steam pipelines and functionally graded materials [1,2].These internally pressured, thick-walled cylindrical vessels usually operate under hightemperature and high-pressure steam conditions; creep deformation is considered one of the main failure mechanisms of these structures.The creep deformation of thick-walled cylinders has been intensively investigated.Shinozuka [3] studied the stresses in an incompressible viscoelastic–plastic thick-walled cylinder. Thick-walled cylinders are widely used in the petrochemical industry, in natural gas, in high-pressure hydraulic systems and in other structures, such as high-pressure oil pipes, petrochemical pressure vessels, heat exchange tubes, storage vessels, nuclear reactor pressure vessels, cannon barrel, steam pipelines and functionally graded materials [1,2]. These internally pressured, thick-walled cylindrical vessels usually operate under hightemperature and high-pressure steam conditions; creep deformation is considered one of the main failure mechanisms of these structures. Schwiebert [5] proposed equations of stress rates in thick-walled cylinders subjected to transient thermal and mechanical loading

Methods

Results

Discussion

Conclusion