Open AccessModeling of stresses in inorganic composite plates under non uniform high temperature heating
Author(s) -
Yu. I. Dimitrienko,
Е. С. Еголева,
D. O. Yakovlev,
Sergey Sborschikov
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/934/1/012015
Subject(s) - composite number , phase (matter) , materials science , stress (linguistics) , composite plate , mechanics , plate theory , matrix (chemical analysis) , aluminium , thermodynamics , composite material , mathematics , mathematical analysis , chemistry , physics , boundary value problem , organic chemistry , linguistics , philosophy
An asymptotic theory of thin composite plates with multi-stage high-temperature phase transformations is proposed. The theory is based on an asymptotic analysis of 3-dimensional equations of the mechanics of composite materials, taking into account phase transformations. Phase transformations are described by a system of kinetic equations, which is solved in conjunction with the equations of internal heat and mass transfer. The so-called local problems for plate theory are obtained and the averaged equations of plate theory with phase transformations are derived. An example of a composite based on an aluminum-chromo-phosphate matrix under uneven heating is considered. A numerical-analytical solution showed that although the heating is uneven due to the peculiarities of phase transformations, the stress-strain state changes significantly in time and is variable across the plate thickness. The developed theory allows us to calculate the stress distribution in the plate with high accuracy.