Publication:
Comparison of numerically-analytical and finite-element solutions of the Lame problem for nonlinear-elastic cylinder under large strains

Дата
2019
Авторы
Vershinin, A. V.
Levin, V. A.
Zingerman, K. M.
Journal Title
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Издатель
Научные группы
Организационные подразделения
Организационная единица
Институт ядерной физики и технологий
Цель ИЯФиТ и стратегия развития - создание и развитие научно-образовательного центра мирового уровня в области ядерной физики и технологий, радиационного материаловедения, физики элементарных частиц, астрофизики и космофизики.
Выпуск журнала
Аннотация
© Published under licence by IOP Publishing Ltd. The results of a comparison of the numerical-analytical solution of the Lame problem for a cylinder made of nonlinear elastic material with the solution of the same problem by the finite element method are presented. Calculations are made for the compressible Mooney-Rivlin material and the Murnaghan material. The numerical-analytical solution is based on the use of the semi-inverse method, which is briefly described in relation to the class of problems under consideration; the problem reduces to solving the Cauchy problem for an ordinary differential equation. A finite-element solution was found in a three-dimensional formulation using the Fidesys engineering strength analysis system using 8-node and 20-node elements. The influence of the type of finite elements, material parameters and the magnitude of the applied load on the computational error is investigated.
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Цитирование
Vershinin, A. V. Comparison of numerically-analytical and finite-element solutions of the Lame problem for nonlinear-elastic cylinder under large strains / Vershinin, A.V., Levin, V.A., Zingerman, K.M. // Journal of Physics: Conference Series. - 2019. - 1158. - № 4. - 10.1088/1742-6596/1158/4/042045
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