Effect of loading conditions on regimes of solid-phase transformations in a plate

Abstract

A two-dimensional mathematical model of propagation of chemical conversion in a plate under mechanical loading is proposed. The problem is numerically studied for three variants of loads and displacements on the plate surfaces: clamped plate, uniaxial tension, and shear. As the fields of temperatures, concentrations, and stresses are coupled, the conversion modes under different loading conditions are found to be different. By means of a parametric study of the model, it is demonstrated that the value of internal stresses may be substantially higher than the external load.

Original language	English
Pages (from-to)	329-339
Number of pages	11
Journal	Journal of Applied Mechanics and Technical Physics
Volume	52
Issue number	3
DOIs	https://doi.org/10.1134/S0021894411030011
Publication status	Published - May 2011

Keywords

chemical reaction
conversion modes
shear
strains
stresses
tension

ASJC Scopus subject areas

Mechanical Engineering
Mechanics of Materials
Condensed Matter Physics

Access to Document

10.1134/S0021894411030011

Fingerprint Dive into the research topics of 'Effect of loading conditions on regimes of solid-phase transformations in a plate'. Together they form a unique fingerprint.

Cite this

@article{c041fd6bd9b249d09ea21e22ef784976,

title = "Effect of loading conditions on regimes of solid-phase transformations in a plate",

abstract = "A two-dimensional mathematical model of propagation of chemical conversion in a plate under mechanical loading is proposed. The problem is numerically studied for three variants of loads and displacements on the plate surfaces: clamped plate, uniaxial tension, and shear. As the fields of temperatures, concentrations, and stresses are coupled, the conversion modes under different loading conditions are found to be different. By means of a parametric study of the model, it is demonstrated that the value of internal stresses may be substantially higher than the external load.",

keywords = "chemical reaction, conversion modes, shear, strains, stresses, tension",

author = "Evstigneev, {N. K.} and Knyazeva, {A. G.}",

year = "2011",

month = may,

doi = "10.1134/S0021894411030011",

language = "English",

volume = "52",

pages = "329--339",

journal = "Journal of Applied Mechanics and Technical Physics",

issn = "0021-8944",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

TY - JOUR

T1 - Effect of loading conditions on regimes of solid-phase transformations in a plate

AU - Evstigneev, N. K.

AU - Knyazeva, A. G.

PY - 2011/5

Y1 - 2011/5

N2 - A two-dimensional mathematical model of propagation of chemical conversion in a plate under mechanical loading is proposed. The problem is numerically studied for three variants of loads and displacements on the plate surfaces: clamped plate, uniaxial tension, and shear. As the fields of temperatures, concentrations, and stresses are coupled, the conversion modes under different loading conditions are found to be different. By means of a parametric study of the model, it is demonstrated that the value of internal stresses may be substantially higher than the external load.

AB - A two-dimensional mathematical model of propagation of chemical conversion in a plate under mechanical loading is proposed. The problem is numerically studied for three variants of loads and displacements on the plate surfaces: clamped plate, uniaxial tension, and shear. As the fields of temperatures, concentrations, and stresses are coupled, the conversion modes under different loading conditions are found to be different. By means of a parametric study of the model, it is demonstrated that the value of internal stresses may be substantially higher than the external load.

KW - chemical reaction

KW - conversion modes

KW - shear

KW - strains

KW - stresses

KW - tension

UR - http://www.scopus.com/inward/record.url?scp=79959957900&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79959957900&partnerID=8YFLogxK

U2 - 10.1134/S0021894411030011

DO - 10.1134/S0021894411030011

M3 - Article

AN - SCOPUS:79959957900

VL - 52

SP - 329

EP - 339

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 3