https://www.elibrary.ru/title_about_new.asp?i Materials physics and mechanics Механика и физика материалов 1605-8119 4 10.18720/MPM.4512020_4 3D finite element, connected with orthogonal finite functions, in modeling and investigation of elastic homogeneous and heterogeneous materials 3D finite element, connected with orthogonal finite functions, in modeling and investigation of elastic homogeneous and heterogeneous materials Leontiev Efremenkov Peter the Great St. Petersburg Polytechnic University Ulyanovsk State University 08 12 2020 45 1 31 37

A novel 2D finite element (FE) associated with orthogonal finite functions (OFF, orthogonal splines) was developed for the ANSYS software and was tested early. The expansion of this method is presented here. The novel 3D FE, connected with 3D OFF is proposed for modeling and investigation of the stress-strain state of homogeneous and heterogeneous elastic bodies. The accuracy of the solutions obtained with this 3D FE is as high as for the classic ANSYS 3D FE. The developed 3D FE requires significantly less computational time; the winning of computational time increases with the amount of FE in a model.

 3D finite element homogeneous material heterogeneous materials orthogonal finite function shape function