Индикаторы применимости и способы идентификации нелинейной модели упруговязкопластичности типа Максвелла по кривым нагружения и разгрузкистатья
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Дата последнего поиска статьи во внешних источниках: 24 февраля 2021 г.
Аннотация:APPLICABILITY INDICATORS AND IDENTIFICATION TECHNIQUES FOR A NONLINEAR MAXWELL-TYPE ELASTOVISCOPLASTIC MODEL USING LOADING-UNLOADING CURVES. *** Full text: https://www.researchgate.net/profile/Andrew_Khokhlov2/research ***
Keywords: viscoelastoplasticity, heredity, physical nonlinearity, stress–strain curves, loading rate, unloading plastic strain, identification, superplasticity, polymers **************
A physically nonlinear Maxwell-type constitutive relation with two material functions for non-aging rheonomous materials is studied analytically in order to reveal the set of basic rheological phenomena it simulates, to establish its application field, to find the necessary phenomenological restrictions should be imposed on its material functions and to develop identification techniques. The general properties and characteristic features of the stress–strain curves family produced by the relation with arbitrary material functions in quasi-static uniaxial loading and unloading at constant rates and a constant temperature are analyzed. Based on the results obtained, the characteristic features of theoretical loading-unloading curves that can be employed as applicability indicators of the relation convenient for checking using test data of a material are revealed. Two effective identification techniques are developed. The first one is based on a set of triangular loading-unloading tests with various maximum stress values and loading rates. The second one employs a single triangle test with loading up to the upper bound of stress range considered, unloading to the zero stress. Explicit formulas are derived to determine both material functions.