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

被引：1
|
作者：
Romanov, A. V. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Chair Composite Mech, Moscow, Russia
来源：
MOSCOW UNIVERSITY MECHANICS BULLETIN | 2024年 / 79卷 / 01期
关键词：
micropolar continuum; Cosserat continuum; theory of asymmetric elasticity; variational principle; rotation gradient tensor; couple stress tensor; finite element method; stiffness matrix; incompressible elasticity; reduced and selective integration; locking effect; spurious zero-energy modes; VARIATIONAL PRINCIPLE; LAGRANGE;
D O I：
10.3103/S002713302470002X
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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.
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页码：1 / 5
页数：5
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