PSI - Issue 18

Available online at www.sciencedirect.com Structural Int grity Procedia 00 (2019) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000 – 000 Available online at www.sciencedirect.com ScienceDirect

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ScienceDirect

Procedia Structural Integrity 18 (2019) 600–607

25th International Conference on Fracture and Structural Integrity Analytical Solution of the Pipe Burst Pressure Using Bilinear Stress-Strain Model and Influence of Corrosion Defects on it Vladimír Chmelko a  , Igor Berta b a Slovak University of Technology, Faculty of Mechanical Engineering, Institute of Applied Mechanics and Mechatronics, Námestie slobody 17, 812 31 Bratislava b Slovak University of Technology, Faculty of Mechanical Engineering, Institute of Technologies and Materials, Námestie slobody 17, 812 31 Bratislava 25th International Conference on Fracture and Structural Integrity Analytical Solution of the Pipe Burst Pressure Using Bilinear Stress-Strain Model and Influence of Corrosion Defects on it Vladimír Chmelko a  , Igor Berta b a Slovak University of Technology, Faculty of Mechanical Engineering, Institute of Applied Mechanics and Mechatronics, Námestie slobody 17, 812 31 Bratislava b Slovak University of Technology, Faculty of Mechanical Engineering, Institute of Technologies and Materials, Námestie slobody 17, 812 31 Bratislava

Abstract Abstract

This article presents the derivation of analytical solution of the burst pressure of cylindrical vessel with hardening material model. The material model is considered a bilinear model for stress-strain intensity. Solution is based on the constant volume theorem for plastic strain process. Derived analytical equations have been verified by experimental measurement on pipe models in laboratory and also by the numerical modeling using the Finite Element Method. The experimental results are in good compliance with analytical solution. The effect of corrosion defect on the burst pressure is also modeled. his article presents the derivation of analytical solution of the burst pressure of cylindrical vessel with hardening aterial model. The material model is considered a bilinear model for stress-strain intensity. Solution is based on the constant volume theorem for plastic strain process. Derived analytical equations have been verified by experimental measurement on pipe models in laboratory and also by the numerical modeling using the Finite Element Method. The experimental results are in good compliance with analytical solution. The effect of corrosion defect on the burst pressure is also modeled.

© 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo.

Keywords: pipe; burst pressure; corrosion defect Keywords: pipe; burst pressure; corrosion defect

1. Introduction 1. Introduction

The analytical solutions are valuable in every area of mechanics and provide the foundation for setting up numerical simulation procedures as well as for calibration of experimental procedures and devices. In cases where the analytical solution cannot be described by the mathematical ways, numerical models or experimental measurements are in use. Such fundamental solutions, e.g. in the area of notch effects, there is a solution of the stress distribution state in the circular or elliptical hole in infinity plate. More complicated shapes of the notches are solved by numerical simulation, The analytical solutions are valuable in every area of mechanics and provide the foundation for setting up numerical simulation procedures as well as for calibration of experimental procedures and devices. In cases where the analytical solution cannot be described by the mathematical ways, numerical models or experimental measurements are in use. Such fundamental solutions, e.g. in the area of notch effects, there is a solution of the stress distribution state in the circular or elliptical hole in infinity plate. More complicated shapes of the notches are solved by numerical simulation,

 1 Corresponding author. Tel.: +421-2-57296225. E-mail address: vladimir.chmelko@stuba.sk  1 Corresponding uthor. Tel.: +421-2-57296225. E-mail address: vladimir.chmelko@stuba.sk

2452-3216 © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. 2452-3216 © 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo.

2452-3216  2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. 10.1016/j.prostr.2019.08.205