Open AccessSIMULATION OF BEHAVIOR OF FUNCTIONALLY - HETEROGENEOUS MATERIALS UNDER TEMPERATURE LOADS
Author(s) -
Pavel Steblyanko,
K. Domichev,
Adrien Petrov
Publication year - 2021
Publication title -
innovate solutions in modern science
Language(s) - English
Resource type - Journals
eISSN - 2414-6714
pISSN - 2414-634X
DOI - 10.26886/2414-634x.8(44)2020.1
Subject(s) - phase diagram , curvilinear coordinates , plasticity , materials science , nonlinear system , diagram , phenomenological model , mechanics , deformation (meteorology) , boundary value problem , material properties , phase (matter) , mathematics , physics , mathematical analysis , geometry , composite material , condensed matter physics , statistics , quantum mechanics
The paper considers the issue of nonlinear mathematical modeling of functionally inhomogeneous materials at temperature loads. The proposed model makes it possible to describe the thermo-pseudo-plastic behavior of the material at the point. The diagram of pseudo-elastic material consisting of three curvilinear sections is used. This approach leads to an unstable stress-strain diagram, and to describe the thermo-mechanical behavior of samples of different shapes, it is necessary to have a solution of the boundary value problem taking into account the development of the deformation front of the phase transformation. This takes into account not only the ambient temperature, but also the heat released at the point during the phase transition. A numerical procedure for calculating a material diagram has been developed, which is a curve enveloping a family of material diagrams constructed for certain laws of change in the velocity of the deformation rupture front. An integrated diagram of the material under the influence of a complex load is constructed.Keywords: phenomenological model, nonlinear material model, materials with shape memory, thermo-pseudo-plasticity, numerical procedure for calculating the diagram.