Open AccessDETERMINATION OF STRESS-STRAIN STATE OF THE BODY SURFACE OR ITS AREA IN CASE OF PERFECT PLASTICITY AT GIVEN STRESS AND DISPLACEMENT VECTORS
Author(s) -
А. И. Чанышев,
И. М. Абдулин,
Olga A. Luk’yashko
Publication year - 2020
Publication title -
interèkspo geo-sibirʹ
Language(s) - English
Resource type - Journals
ISSN - 2618-981X
DOI - 10.33764/2618-981x-2020-2-201-209
Subject(s) - plasticity , infinitesimal strain theory , cauchy stress tensor , von mises yield criterion , stress (linguistics) , strain rate tensor , stress–strain curve , mechanics , viscous stress tensor , geometry , mathematics , tensor (intrinsic definition) , yield surface , displacement (psychology) , deformation (meteorology) , structural engineering , mathematical analysis , materials science , constitutive equation , physics , finite element method , engineering , composite material , linguistics , philosophy , psychology , psychotherapist
Ideally plastic state of material under conditions of Mises plasticity, proportionality of stress and strain deviators (deformation theory of plasticity) and elastic volume change is considered. Given the Cauchy stress and displacement vectors specified on the body surface (with indicated state) or its area, all six components of the stress tensor, all six components of the strain tensor, and also three components of the rotation vector are restored on this surface. This method for determining the stress-strain state can be related to the methods of rapid assessment of the structure state (body surface), since differential equations inside the body are not involved.