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Analitical Solutions for Dynamical Axysimmetrical Problems of Expansion (Compression) of Thick-Walled Spherical and Cylindrical Shells Made of Incompressible Viscoplastic Material Immersed in Incompressible Viscous Liquidтезисы доклада
- Автор: Kiselev Alexey
- Сборник: ESCO 2016. 5rd European Seminar on Computing, Pilsen, Czech Republic, June 5 - 10, 2016. Book of Abstracts
- Тезисы
- Год издания: 2016
- Место издания: University of West Bohemia Pilsen
- Первая страница: 133
- Последняя страница: 133
- Аннотация: Not many exact solutions of dynamic thermoelastoviscoplasticity and viscous liquid are known, in view of their complexity. Exact solutions of one-dimensional expansion (compression)of thick-walled spherical and cylindrical shells are obtained. We are going to consider shells made from incompressible viscoplastic material Sokolovsky-Perzyna type and immersed in an incompressible viscous liquid Navier-Stokes type. Shells loading of external and internal dynamic pressure. Solutions are obtained under the conditions that internal and external pressure exceed some minimals magnitudes. These magitudes to obtain in the present paper. Tasks solved in Lagrangian variables, that make possible obtained present exact solutions. These exact solutions are used for testing numerical calculation programmes and to estimate the e ectiveness of numerical methods similar earlier obtained (see [1-4] and the bibliography given there). References 1. A.B. Kiselev. Analitical Solutions of Problems of the Adiabatic Commressible of Thick-Walled Spherical and Cylindrical Shells Made of Incompressible Viscoplastic Material. J. of Applied Mathematics and Mechanics. 76 (2012) 489-492. 2. A.B. Kiselev. Unsteady Expansion of Thick-Walled Spherical and Cylindrical Viscoplastic Shells. Moscow University Mechanics Bulletin. 67 (2012) 116-121. 3. A.B. Kiselev. Supplement to the paper by A.B. Kiselev \Analytical Solutions of Problems of the Adiabatic Compression of Thick-Walled Spherical and Cylindrical Shells Made of Incompressible Viscoplastic Material". JAMM . Vol. 76, No. 4, pp. 489-492. J. of Applied Mathematics and Mechanics. 78 (2014) 617-620. 4. A.B. Kiselev. About Danamical Compression (Expansion) of Spherical Layer in Viscous Incompressible Fluid. Zababaxin Problem. Applied Physics and Mathematics. Vol. 2, No. 6 (2014) 42-46 (in Russian).
- Добавил в систему: Киселев Алексей Борисович