scholarly journals Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element

2007 ◽  
Vol 29 (1) ◽  
pp. 13-24 ◽  
Author(s):  
Nguyen Xuan Hung ◽  
Ngo Thanh Phong
Keyword(s):  
Stiffness Matrix ◽  
High Reliability ◽  
Arbitrary Point ◽  
Local Approximation ◽  
Mindlin Plate ◽  
Smoothing Function ◽  
Plate Element ◽  
Smoothing Technique ◽  
Quadrilateral Element ◽  
Non Local

A quadrilateral element with smoothed curvatures for Reissner-Mindlin structure plates is proposed. A curvature matrix at an arbitrary point is normalized by a non-local approximation over a smoothing function. By choosing a constant smoothed function and applying the divergence theorem, the bending stiffness matrix calculated on boundaries of smoothing elements (smoothing cells) instead of on their interior. Several numerical results are analyzed to demonstrate high reliability and free locking of the proposed method.

scholarly journals On some non-local approximation of nonisotropic Griffith-type functionals$ ^\dagger $

2021 ◽  
Vol 4 (4) ◽  
pp. 1-22
Author(s):  
Fernando Farroni ◽  
◽  
Giovanni Scilla ◽  
Francesco Solombrino ◽  
Keyword(s):  
Sobolev Spaces ◽  
Local Approximation ◽  
Convolution Type ◽  
Gamma Convergence ◽  
Non Local ◽  
Suitable Sequence

<abstract><p>The approximation in the sense of $ \Gamma $-convergence of nonisotropic Griffith-type functionals, with $ p- $growth ($ p &gt; 1 $) in the symmetrized gradient, by means of a suitable sequence of non-local convolution type functionals defined on Sobolev spaces, is analysed.</p></abstract>

Static analysis of corrugated panels using homogenization models and a cell-based smoothed mindlin plate element (CS-MIN3)

2018 ◽  
Vol 13 (2) ◽  
pp. 251-272 ◽  
Author(s):  
Nhan Nguyen-Minh ◽  
Nha Tran-Van ◽  
Thang Bui-Xuan ◽  
Trung Nguyen-Thoi
Keyword(s):  
Static Analysis ◽  
Mindlin Plate ◽  
Plate Element ◽  
A Cell

PERIDYNAMIC UNIT CELL ENABLED FINITE ELEMENT MODELING OF FIBER STEERED COMPOSITES

2021 ◽  
Author(s):  
ERDOGAN MADENCI, ◽  
ATILA BARUT ◽  
NAM PHAN ◽  
ZAFER GURDAL
Keyword(s):  
Finite Element ◽  
Composite Laminates ◽  
Stiffness Matrix ◽  
Unit Cell ◽  
Plate Element ◽  
Finite Element Implementation ◽  
Effective Material Property ◽  
Fiber Path ◽  
Element Shape ◽  
Simple Modeling

This study presents an approach based on traditional finite elements and peridynamic unit cell (PDUC) to perform structural analysis of fiber steered composite laminates. Effective material property matrix for each ply in the plate element is computed by employing the PDUC based on the orientation of the fiber path and orthotropic ply properties. Each element defines the unit cell domain if the element shape is rectangular. Otherwise, the rectangle that circumscribes the element defines the domain of the unit cell. The element stiffness matrix is constructed through a traditional finite element implementation. This approach provides an accurate and simple modeling of variable angle tow laminates. It can be readily integrated in commercially available finite element programs.

Coupled Analysis of Structural–Acoustic Problems Using the Cell-Based Smoothed Three-Node Mindlin Plate Element

2016 ◽  
Vol 13 (02) ◽  
pp. 1640007 ◽  
Author(s):  
Z. X. Gong ◽  
Y. B. Chai ◽  
W. Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Solid Mechanics ◽  
Mindlin Plate ◽  
Coupled Analysis ◽  
Plate Element ◽  
Fem Model ◽  
The Face ◽  
Smoothed Finite Element Method ◽  
Element Method

The cell-based smoothed finite element method (CS-FEM) using the original three-node Mindlin plate element (MIN3) has recently established competitive advantages for analysis of solid mechanics problems. The three-node configuration of the MIN3 is achieved from the initial, complete quadratic deflection via ‘continuous’ shear edge constraints. In this paper, the proposed CS-FEM-MIN3 is firstly combined with the face-based smoothed finite element method (FS-FEM) to extend the range of application to analyze acoustic fluid–structure interaction problems. As both the CS-FEM and FS-FEM are based on the linear equations, the coupled method is only effective for linear problems. The cell-based smoothed operations are implemented over the two-dimensional (2D) structure domain discretized by triangular elements, while the face-based operations are implemented over the three-dimensional (3D) fluid domain discretized by tetrahedral elements. The gradient smoothing technique can properly soften the stiffness which is overly stiff in the standard FEM model. As a result, the solution accuracy of the coupled system can be significantly improved. Several superior properties of the coupled CS-FEM-MIN3/FS-FEM model are illustrated through a number of numerical examples.

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