An Efficient and Rapid Numerical Quadrature to generate element matrices for quadrilateral and hexahedral elements in Functionally Graded Materials (FGMs)-Reference-Cited by-同舟云学术

An Efficient and Rapid Numerical Quadrature to generate element matrices for quadrilateral and hexahedral elements in Functionally Graded Materials (FGMs)

Published:2020-08 Issue:4 Volume:80 Page:1-35
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Jeyakarthikeyan P.V.^ORCID,M. Radha Jeyakarthikeyan,M. Rohith Narendiran

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference52 articles.

1. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control;Flanagan;Internat. J. Numer. Methods Engrg.,1981

2. Assumed strain stabilization of the eight node hexahedral element;Belytschko;Comput. Methods Appl. Mech. Engrg.,1993

3. Hourglass control in linear and nonlinear problems;Belytschko;Comput. Methods Appl. Mech. Engrg.,1984

4. Numerical control of the hourglass instability;Jacquotte;Internat. J. Numer. Methods Engrg.,1986

5. Analysis of hourglass instabilities and control in under integrated finite element methods;Jacquotte;Comput. Methods Appl. Mech. Engrg.,1984

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Richardson extrapolation and strain energy based partition of unity method for analysis of composite FG plates;Engineering Analysis with Boundary Elements;2024-05

2. Geometrically nonlinear analysis of 2D and 3D structures by a robust Richardson extrapolation based quadrature;Structures;2024-02

3. Richardson extrapolation based integration scheme using FSDT over Quad elements: Application to thick FGM plates;Composite Structures;2023-10

4. n+1 Integration scheme for polygonal elements using Richardson extrapolation;Mathematics and Computers in Simulation;2023-03

5. A new numerical integration over arbitrary quadrilateral element based on smoothed strain energy and Richardson extrapolation;Computers & Mathematics with Applications;2022-10