|
ИСТИНА |
Войти в систему Регистрация |
ИПМех РАН |
||
Constitutive relations for calculating the processes of quasistatic deformation, damage, and fracture of bodies (Including those with concentrators) made of filled polymer materialsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 11 апреля 2019 г.
- Авторы: Bykov D.L., Konovalov D.N., Peleshko V.A.
- Журнал: Mechanics of Solids
- Том: 46
- Номер: 6
- Год издания: 2011
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 839
- Последняя страница: 855
- DOI: 10.3103/S0025654411060045
- Аннотация: We study composite polymer materials with a high degree of dispersion filling (several tens of percent in volume). A tensor generalization of the previously developed variant of the geroendochronic theory of viscoelastic materials is obtained, which allows us to pose and solve initialboundary value problems using this model. A numerical solution algorithm is proposed, which is realized as the UMAT subroutine for the ABAQUS finite element software package. Finite element computations are performed for the process of tensile stretching of bodies having the shape of short wide strips made of a highly filled polymer material and the results are compared with the relevant experimental data published by K. Ha and R. A. Schapery (Int. J. Solids Struct. 35 (26–27), 3497–3517 (1998)). The computational results for the deformation and fracture of solids in which a weakly inhomogeneous stress-strain state (SSS) is realized show a quite satisfactory agreement with the experiments. It has been found that, for correct strength analysis of bodies with holes and cuts, one has to consider the influence of the SSS concentration in the model. To this end, we propose to generalize the constitutive relations as follows: in the equation for the damage and fracture parameters, introduce a material function of the concentration parameter, for which we take the ratio of some state variable (the fracture parameter from the model where the concentration effect is not taken into account) at the point in question to the average value of this variable in a neighborhood of a given radius. A method is suggested for reducing the initial-boundary value problem of the proposed nonlocal theory to a problem for a piecewise-homogeneous body composed of a set of layers described by local constitutive relations. The method was successfully tested in the calculations of bodies with a hole and an sharp internal cut (stress concentrators of moderate and high level, respectively). The obtained results show that the developed model has a high accuracy, including adequate prediction of the time and location when and where the fracture begins, which is the main objective of the strength analysis.
- Добавил в систему: Пелешко Владимир Андреевич