Search academic texts

Information × Registration Number 0217U000909, 0112U000252 , R & D reports Title Development of models of nonliner deformation and failure of structural materials considering their deformibility, anisotropy, viscoelastic and plastic properties popup.stage_title Head Anatoly A. Kaminsky, Доктор фізико-математичних наук Registration Date 20-03-2017 Organization S.P.Timoshenko Institute of Mechanics popup.description2 Relationships between the creep kernels that define scalar isotropic properties of nonlinear viscoelastic medium are formulated as equations of dependence between strain and stress tensor invariants and kernels for tensile, transverse and shear creep in one-dimensional models of viscoelasticity. Scalar properties of the medium are set by summarizing one-dimensional nonlinear model for viscoelasticity complex stress state. The time-independent nonlinear model of Rabotnov's type is used as a one-dimensional model of viscoelasticity. Problems of creep and stress relaxation determination are solved and experimentally proven for thin-walled tubular elements of high-density polyethylene HDPE under biaxial load. In the nonlinear fracture mechanics, the problem of the evolution of the mechanical system consisting of anisotropic linear viscoelastic body with two collinear cracks of different lengths under tensile stresses applied perpendicular to the crack line at infinity is solved for quasi-static statement. The governing system of equations and inequalities which determines the state of cracks at the arbitrary moment of time is obtained. A numerical algorithm is proposed to determine the tip location for the cracks at the given moment of time. The algorithm is tested on a problem for a composite with specified properties. A mathematical method for solving nonlinear anisotropic problems for cracked bodies is proposed. Plasticity zones development is investigated near the cracks in a plate under biaxial loading. Product Description popup.authors Баранова Поліна Миколаївна Богданова Ольга Станіславівна Голуб Владислав Петрович Желдубовський Олександр Володимирович Камінський Анатолій Олексійович Кобзар Юрій Михайлович Курчаков Євген Євгенович Маслов Борис Петрович Пелих Володимир Миколайович Плащинська Алла Вікторівна Погребняк Анатолій Дмитрович Регульський Михайло Миколайович Селіванов Михайло Федорович Фернаті Павло Вікторович Чорноіван Юрій Олексійович popup.nrat_date 2020-04-02 Close