Mechanochemical corrosion: Modeling and analytical benchmarks for initial boundary value problems with unknown boundaries

Research output

2 Citations (Scopus)

Abstract

© Springer Science+Business Media Singapore 2016.In this paper various corrosion models are considered. Difficulties of the modeling of stress corrosion of constructional elements and the need for developing closed-form solutions are highlighted. A new analytical solution is presented for the plane problem of themechanochemical corrosion of an elastic plate with an elliptical hole under uniform remote tension. The rate of corrosion is supposed to be linear with the maximum principal stress at a corresponding point on the hole surface. The solution obtained can serve for the study of the mechanochemical effect on the corrosion damage propagation. It is proved that the stress concentration factor at a noncircular hole can either increase or decrease, or stay invariant during the corrosion process, depending on the relationship between the corrosion kinetics constants and applied stress.
Original languageEnglish
Pages (from-to)301-309
JournalSpringer Proceedings in Mathematics and Statistics
Volume171
Issue numberSpringer
DOIs
Publication statusPublished - 2016

Fingerprint

Corrosion
Initial-boundary-value Problem
Benchmark
Unknown
Modeling
Stress Concentration Factor
Plane Problem
Elastic Plate
Closed-form Solution
Analytical Solution
Damage
Kinetics
Propagation
Decrease
Invariant

Cite this

@article{06b699e597bd4a68b6774465f7e5ca22,
title = "Mechanochemical corrosion: Modeling and analytical benchmarks for initial boundary value problems with unknown boundaries",
abstract = "{\circledC} Springer Science+Business Media Singapore 2016.In this paper various corrosion models are considered. Difficulties of the modeling of stress corrosion of constructional elements and the need for developing closed-form solutions are highlighted. A new analytical solution is presented for the plane problem of themechanochemical corrosion of an elastic plate with an elliptical hole under uniform remote tension. The rate of corrosion is supposed to be linear with the maximum principal stress at a corresponding point on the hole surface. The solution obtained can serve for the study of the mechanochemical effect on the corrosion damage propagation. It is proved that the stress concentration factor at a noncircular hole can either increase or decrease, or stay invariant during the corrosion process, depending on the relationship between the corrosion kinetics constants and applied stress.",
author = "Y. Pronina",
year = "2016",
doi = "10.1007/978-981-10-1454-3_25",
language = "English",
volume = "171",
pages = "301--309",
journal = "Springer Proceedings in Mathematics and Statistics",
issn = "2194-1009",
publisher = "Springer",
number = "Springer",

}

TY - JOUR

T1 - Mechanochemical corrosion: Modeling and analytical benchmarks for initial boundary value problems with unknown boundaries

AU - Pronina, Y.

PY - 2016

Y1 - 2016

N2 - © Springer Science+Business Media Singapore 2016.In this paper various corrosion models are considered. Difficulties of the modeling of stress corrosion of constructional elements and the need for developing closed-form solutions are highlighted. A new analytical solution is presented for the plane problem of themechanochemical corrosion of an elastic plate with an elliptical hole under uniform remote tension. The rate of corrosion is supposed to be linear with the maximum principal stress at a corresponding point on the hole surface. The solution obtained can serve for the study of the mechanochemical effect on the corrosion damage propagation. It is proved that the stress concentration factor at a noncircular hole can either increase or decrease, or stay invariant during the corrosion process, depending on the relationship between the corrosion kinetics constants and applied stress.

AB - © Springer Science+Business Media Singapore 2016.In this paper various corrosion models are considered. Difficulties of the modeling of stress corrosion of constructional elements and the need for developing closed-form solutions are highlighted. A new analytical solution is presented for the plane problem of themechanochemical corrosion of an elastic plate with an elliptical hole under uniform remote tension. The rate of corrosion is supposed to be linear with the maximum principal stress at a corresponding point on the hole surface. The solution obtained can serve for the study of the mechanochemical effect on the corrosion damage propagation. It is proved that the stress concentration factor at a noncircular hole can either increase or decrease, or stay invariant during the corrosion process, depending on the relationship between the corrosion kinetics constants and applied stress.

U2 - 10.1007/978-981-10-1454-3_25

DO - 10.1007/978-981-10-1454-3_25

M3 - Article

VL - 171

SP - 301

EP - 309

JO - Springer Proceedings in Mathematics and Statistics

JF - Springer Proceedings in Mathematics and Statistics

SN - 2194-1009

IS - Springer

ER -