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Эффекты затухания памяти и асимптотической коммутативности при ступенчатом нагружении в линейной вязкоупругостистатья
Статья опубликована в журнале из списка RSCI Web of Science
- Автор: Хохлов А.В.
- Журнал: Композиты и наноструктуры
- Том: 15
- Номер: 1
- Год издания: 2023
- Издательство: Акционерное общество "Композитбук"
- Местоположение издательства: Москва
- Первая страница: 208
- Последняя страница: 232
- DOI: 10.36236/1999-7590-2022-14-4-208-232
- Аннотация: A.V. Khokhlov. FADING MEMORY EFFECT AND ASYMPTOTIC COMMUTATIVITY UNDER MULTI-STEP LOADINGS IN THE LINEAR VISCOELASTICITY THEORYBasic qualitative properties of the creep curves generated by the Boltzmann-Volterra linear constitutive equation for isotropic non-aging viscoelastic materials under cyclic multi-step loadings are studied analytically assuming shear and bulk compliances are arbitrary (increasing and convex up) functions. Their dependence on creep compliance functions properties and piecewise-constant stress history parameters are analyzed. Creep curves asymptotic behavior as time tends to infinity is examined. Conditions for accumulation of plastic strain and the fading memory criteria are obtained. The effect of stress steps permutation is considered in general 3D case. It is proved for the linear viscoelasticity constitutive equation that the difference between two creep curves converges to zero as time tends to infinity although the influence of stress steps permutation is significant. This property of the constitutive equation is termed “asymptotic commutativity with respect to loading steps permutation”. It is valid for arbitrary (convex up) shear and bulk creep functions even in the case of non-fading memory.
- Добавил в систему: Хохлов Андрей Владимирович
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