Journal "Computational Technologies"

Article information

2024 , Volume 29, № 6, p.76-92

Klochkov Y.V., Nikolaev A.P., Pshenichkina V.A., Fomin S.D., Vakhnina O.V., Andreev A.S., Klochkov M.Y.

Modernization of the approximation for the required values of the mixed FEM for calculations of shells in curvilinear coordinate systems

For a quadrangular shell discretization element, the compliance matrix of which is composed on the basis of a mixed version of the FEM, bicubic shape functions are used to approximate the displacement vector and bilinear functions for the second-rank tensor (deformations and curvatures). Based on the coordinate transformations, new approximating expressions are obtained for the desired components of the tensor for the internal point of the finite element through the nodal values of the components of the nodal point tensors.

The efficiency of the developed approximating functions of the sought quantities is shown numerically.

Keywords: thin shell, quadrangular finite element in mixed formulation, tensor vector interpolation

doi: 10.25743/ICT.2024.29.6.005

Author(s):
Klochkov Yuriy Vasilievich
Dr. , Professor
Position: Head of Chair
Office: Volgograd State Agricultural University
Address: 400002, Russia, Volgograd, Universitetsky Ave., 26
Phone Office: (8442) 41-13 -24
E-mail: Klotchkov@bk.ru
SPIN-code: 9436-3693

Nikolaev Anatoly Petrovich
Dr. , Professor
Position: Head of Chair
Office: Volgograd State Agricultural Academy
Address: 400002, Russia, Volgograd, Universitetsky Ave., 26
Phone Office: (8442) 41 93 02
E-mail: anpetr40@yandex.ru

Pshenichkina Valeriya Aleksandrovna
Dr. , Professor
Position: Head of Chair
Office: Volgograd State Technical University
Address: 400005, Russia, Volgograd, 28, Leninskii Prospekt
Phone Office: (8442) 96-98-30
E-mail: vap_hm@list.ru
SPIN-code: 3399-0668

Fomin Sergey Denisovich
Dr. , Professor
Position: Professor
Office: Volgograd State Agricultural University
Address: 400002, Russia, Volgograd, Universitetsky Ave., 26
Phone Office: (8442) 41-93 -02
E-mail: fsd_58@mail.ru
SPIN-code: 4048-5368

Vakhnina Olga Vladimirovna
PhD. , Associate Professor
Position: Associate Professor
Office: Volgograd State Agricultural University
Address: 400002, Russia, Volgograd, Universitetsky Ave., 26
Phone Office: (8442) 41-13 -24
E-mail: ovahnina@bk.ru
SPIN-code: 3593-0159

Andreev Aleksandr Sergeevich
PhD. , Associate Professor
Position: Associate Professor
Office: Volgograd State Agricultural University
Address: 400002, Russia, Volgograd, Universitetsky Ave., 26
Phone Office: (8442) 41-13 -24
E-mail: aandreev.07.1988@gmail.com
SPIN-code: 7568-5011

Klochkov Mikhail Yur'evich
Position: Student
Office: Volgograd State Technical University
Address: 400005, Russia, Volgograd, 28, Leninskii Prospekt
Phone Office: (8442) 96-98-30
E-mail: m.klo4koff@yandex.ru
SPIN-code: 2767-3955

Bibliography link:
Klochkov Y.V., Nikolaev A.P., Pshenichkina V.A., Fomin S.D., Vakhnina O.V., Andreev A.S., Klochkov M.Y. Modernization of the approximation for the required values of the mixed FEM for calculations of shells in curvilinear coordinate systems // Computational technologies. 2024. V. 29. № 6. P. 76-92