|
ИСТИНА |
Войти в систему Регистрация |
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
Индикаторы применимости нелинейной модели вязкоупругопластичности типа Максвелла со степенными материальными функциями и методики их определениястатья
Статья опубликована в журнале из списка RSCI Web of Science
Статья опубликована в журнале из перечня ВАКСтатья опубликована в журнале из списка Web of Science и/или Scopus
- Автор: Хохлов А.В.
- Журнал: Вестник Пермского национального исследовательского политехнического университета. Механика
- Номер: 1
- Год издания: 2023
- Издательство: Федеральное государственное бюджетное образовательное учреждение высшего профессионального образования "Пермский национальный исследовательский политехнический университет"
- Местоположение издательства: Пермь
- Первая страница: 142
- Последняя страница: 158
- DOI: 10.15593/perm.mech/2023.1.14
- Аннотация: Khokhlov А.V. Applicability indicators for the nonlinear Maxwell-type elasto-viscoplastic model with power material functions and techniques to calibrate them. PNRPU Mechanics Bulletin, 2023, no. 1, pp. 134-150. DOI: 10.15593/perm.mech/2023.1.14 *** A physically non-linear Maxwell-type constitutive relation with two material functions for nonagingelasto-viscoplastic materials is studied analytically in order to examine the set of basic rheologicalphenomena that it simulates, to enclose its application field, to obtain necessary phenomenologicalrestrictions which should be imposed on its material functions and to develop identificationand validation techniques. Characteristic features of loading-unloading-recovery curves family producedby the model with two power material functions (with four parameters) under loading andunloading at constant stress rates and subsequent rest are analyzed in uni-axial case and comparedto general properties of stress-strain-recovery curves produced by the constitutive relationwith two arbitrary (increasing) material functions (theorems 1 and 2). Their dependences on loadingrate, maximal stress and material functions exponents are examined. Power functions are the mostpopular in creep models, elastoviscoplasticity, polymer rheology, hydrodinamics of non-newtonianfluids and simulation of superplastic flow. The analysis reveals several specific properties of theoreticloading-unloading-recovery curves produced by power model with four parameters that can beemployed as the model applicability indicators which are convenient for check using test data of amaterial. They should be checked in addition to general applicability indicators for the Maxwell-typeconstitutive relation with two arbitrary material functions.A number of effective calibration procedures for the model in the class of power materialfunctions are developed. They are more rapid and effective than general identification techniquesfor two arbitrary material functions developed previously. The first procedure employs a pair ofstress-strain curves at different stress rates, the second one is based on a pair of loadingunloading-recovery curves with various maximal stress values and loading rates and the thirdone needs only one loading-unloading-recovery curve. The explicit expressions are derived for four material parameters via test data. They enable separate and direct evaluation of the material parameters without error accumulation. Identification techniques versions are considered andtheir advantages and shortcomings are discussed. The ways to minimize the error using additionaltests are proposed.
- Добавил в систему: Хохлов Андрей Владимирович
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|