Application of the Reduced and Selected Integration Method in Problems of Micropolar Elasticity Theory

In this paper, a variational principle of Lagrange, the Ritz method, and piecewise polynomial shape functions of brick family ‘‘linear’’ element are used to obtain reduced and selective integration techniques in a form of the tensor-block stiffness matrices to prevent the locking effect for nearly i...

Full description

Saved in:
Bibliographic Details
Published in:Moscow University mechanics bulletin 2024-02, Vol.79 (1), p.1-5
Main Author: Romanov, A. V.
Format: Article
Language:English
Subjects:
Classical Mechanics
Elasticity
Isotropic material
Physics
Physics and Astronomy
Polynomials
Ritz method
Shape functions
Stiffness matrix
Tensors
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, a variational principle of Lagrange, the Ritz method, and piecewise polynomial shape functions of brick family ‘‘linear’’ element are used to obtain reduced and selective integration techniques in a form of the tensor-block stiffness matrices to prevent the locking effect for nearly incompressible, isotropic, and centrally symmetric material of the micropolar theory of elasticity.
ISSN:0027-1330
1934-8452
DOI:10.3103/S002713302470002X