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BRITTLE DESTRUCTION OF INCOMPRESSIBLE MATERIAL DURING FLAT STRAIN
Author(s) -
А. И. Чанышев,
O. E. Belousova,
Olga A. Luk’yashko
Publication year - 2019
Publication title -
interèkspo geo-sibirʹ
Language(s) - English
Resource type - Journals
ISSN - 2618-981X
DOI - 10.33764/2618-981x-2019-2-5-89-97
Subject(s) - brittleness , compressibility , mechanics , compression (physics) , stress (linguistics) , materials science , displacement (psychology) , deformation (meteorology) , plasticity , boundary value problem , pillar , strain (injury) , structural engineering , geometry , mathematical analysis , mathematics , physics , composite material , engineering , medicine , psychology , linguistics , philosophy , psychotherapist
In the paper stress-strain behavior of solid during flat strain in case of its volumetric incompressible behavior and ideally brittle destruction is studied. Parameters of the system of differential equations of balance and its correlations are obtained. In this case, condition of stress and strain tensors axiality is used. Boundary problem for determination of stress-strain behavior at destruction zone is formulated. As example, equations of ideally brittle out-of-limit deformation of solid in form of rectangular plate (pillar) during uniform compression are considered. It is shown that when displacement of side border of the plate is observed, it is possible to predict its destructions.