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Ползучесть и длительная прочность толстостенной трубы из нескольких слоев нелинейно вязкоупругих материалов, нагруженной внутренним и внешним давлениямистатья
Дата последнего поиска статьи во внешних источниках: 8 апреля 2022 г.
- Автор: Хохлов А.В.
- Журнал: Механика композитных материалов
- Том: 57
- Номер: 6
- Год издания: 2021
- Издательство: Зинатне
- Местоположение издательства: Рига
- Первая страница: 1037
- Последняя страница: 1064
- DOI: 10.22364/mkm.57.6.02
- Аннотация: CREEP AND LONG-TERM STRENGTH OF A DOUBLE LAYER THICK-WALLED PRESSURIZED TUBE OF NON-LINEAR VISCOELASTIC MATERIALS Аndrew V. KhokhlovLomonosov Moscow State University, Institute of mechanics, Moscow, RussiaWe construct the exact solution for creep and long-term strength problem for pressurized thick-walled tubes made of two layers of physically non-linear viscoelastic materials obeying the Rabotnov constitutive equation with two arbitrary material functions for each layer (a material creep compliance and a function which governs physical non-linearity). We suppose that both materials are homogeneous, isotropic and incompressible and that a tube is loaded by internal and external pressures and that a plain strain state is realized, i.e. zero axial displacements are given on the edge cross sections of the tube. We obtained the closed form expressions for displacement, strain and stress fields via the single unknown function of time and integral operators involving this function, pairs of (arbitrary) material functions of each tube layer, preset pressure values and ratios of tube layers radii and derived integral equation to determine this unknown function. Assuming the relaxation moduli of layer materials are proportional to a single (arbitrary) function of time and the material functions that governs non-linearity coincide with a power function with a positive exponent, we constructed exact solution of the resolving functional equation, calculated all the integrals involved in the general representation for the tube stress field and reduced it to simple algebraic formulas convenient for analysis. We derived explicit formulas for creep rapture time of the tube and closed form equations for long-term strength curves based on three creep failure criteria using three measures of damage, namely: effective shear strain or maximal shear strain or maximal principal strain. We studied analytically general properties of this long-term strength curves for arbitrary material functions of the constitutive relation and compared them to each other. We proved that long-term strength curves (rapture time as a function of pressures difference) are decreasing and convex down and that their shape is controlled mainly by the compliance functions of layer materials rather than tube layers radii and the function governing physical non-linearity since they influence only the factor responding for stretching long-term strength curves along the pressure axis.Keywords: multilayer thick-walled tubes; non-linear viscoelasticity; creep; rapture time, long-term strength curve; the Rabotnov constitutive equation; relaxation modulus; material function governing nonlinearity, incompressible material; integral equations, laminated composites
- Добавил в систему: Хохлов Андрей Владимирович
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | гранки статьи | Khokhlov_MCM-2021-4.pdf | 1,1 МБ | 30 ноября 2021 [AnKh] | |
| 2. | резолюция редколлегии о принятии к публикации | Rezolyutsiya_redkollegii_MKM_Dlya_otchetnosti.pdf | 103,0 КБ | 26 ноября 2021 [AnKh] |