Uniaxial Loading in an Elastic Continuum With a Doubly Periodic Array of Material Discontinuities

1969 ◽  
Vol 36 (1) ◽  
pp. 134-139 ◽  
Author(s):  
G. H. Gaonkar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Periodic Array ◽  
Numerical Comparison ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Elastic Continuum ◽  
Stress And Displacement Fields ◽  
Material Discontinuities ◽  
Doubly Periodic Array

Stress and displacement fields are presented for uniaxially loaded infinite elastic continua with a doubly periodic array of holes, elastic or rigid inclusions with or without overlapping. The results are obtained by using an appropriate form of the finite-element method. When possible, a numerical comparison has been made with known solutions. In the treatment of not previously studied configurations, the convergence is ascertained by observing the trend with finer discretizations.

Gravitational stress field around a tunnel in soft ground

1970 ◽  
Vol 7 (1) ◽  
pp. 54-61 ◽  
Author(s):  
B. Hoyaux ◽  
B. Ladanyi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Infinite Medium ◽  
Soft Ground ◽  
The Finite Element Method ◽  
Short Term ◽  
Displacement Fields ◽  
Stress And Displacement Fields ◽  
Gravitational Stress ◽  
Material Behaviors

The finite element method has been used for determining the stress distribution and the displacements due to gravity around an unlined tunnel driven through a semi-infinite medium, characterized by three idealized material behaviors reflecting approximately a short term behavior of natural undisturbed insensitive and sensitive clays. The knowledge of stress and displacement fields around an unlined tunnel can be used for evaluating the need for supports according to the acceptability of expected deformations.

A FINITE ELEMENT ANALYSIS OF EFFECTIVE THERMOELECTROELASTIC PROPERTIES OF COMPOSITES WITH A DOUBLY PERIODIC ARRAY OF PIEZOELECTRIC FIBERS

2009 ◽  
Vol 23 (06n07) ◽  
pp. 1689-1694 ◽  
Author(s):  
PENG YAN ◽  
CHIPING JIANG
Keyword(s):  
Finite Element ◽  
Effective Properties ◽  
Cell Model ◽  
Periodic Array ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Uniform Temperature Field ◽  
Periodic Microstructures ◽  
Doubly Periodic Array ◽  
Electrical Loads

This work deals with modeling of 1-3 thermoelectroelastic composites with a doubly periodic array of piezoelectric fibers under arbitrary combination of mechanical, electrical loads and a uniform temperature field. The finite element method (FEM) based on a unit cell model is extended to take into account the thermoelectroelastic effect. The FE predictions of effective properties for several typical periodic microstructures are presented, and their influences on effective properties are discussed. A comparison with the Mori-Tanaka method is made to estimate the application scope of micromechanics. The study is useful for the design and assessment of composites.

An Overview of the Finite Element Method on the Tool-Soil Interacting Problem of Tillage

2014 ◽  
Vol 707 ◽  
pp. 397-400 ◽  
Author(s):  
Xiao Hong Liu ◽  
Yan Yu ◽  
Li Chun Qiu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Computer Aided Design ◽  
High Efficiency ◽  
Low Cost ◽  
Dynamic Effect ◽  
Research Progress ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Element Method

This article introduced the up-to-date research progress on the tool-soil interacting problem of tillage; and investigated the situation of constitutive relation usage in the finite element method (FEM). A review including the dynamic effect on the performance of tillage operation with FEM has been conducted. It showed that the virtual reality method with FEM had made much progress in evaluating the tool draft, distribution position of stress and strain, displacement fields and acceleration in soil-tool interactions, soft ware package of computer aided design of tillage tools; it will be a low cost and high efficiency assistive tool in the development procedure of tillage tools, and can be applied to study and analyze the performance of resulting prototypes.

On Displacement Fields in Orthotropic Laminates Containing an Elliptical Hole

2000 ◽  
Vol 67 (3) ◽  
pp. 527-539 ◽  
Author(s):  
S. M. Chern ◽  
M. E. Tuttle
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Rigid Body ◽  
Circular Hole ◽  
Orthotropic Plate ◽  
Elliptical Hole ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Orthotropic Composite ◽  
Moiré Techniques

The classical Savin solution for the stress induced in an orthotropic plate containing an elliptical hole places no restrictions on remote rigid-body rotations. In this paper the Savin procedure is used to obtain a solution for which remote rigid-body rotations are required to be zero. The validity of these new results is demonstrated by comparing predicted displacement fields near a circular hole in specially orthotropic composite panels with those measured using moire´ techniques as well as those predicted using the finite element method. [S0021-8936(00)01303-9]

Stress Behavior at the Interface Junction of an Elastic Inclusion

2002 ◽  
Vol 69 (6) ◽  
pp. 844-852 ◽  
Author(s):  
Z. Q. Qian ◽  
A. R. Akisanya ◽  
D. S. Thompson
Keyword(s):  
Finite Element ◽  
Elastic Inclusion ◽  
Symmetric Mode ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Two Phase ◽  
Stress And Displacement Fields ◽  
Higher Order Terms ◽  
The Matrix ◽  
Finite Element Prediction

The stress distribution at the interface junction of an elastic inclusion embedded in a brittle matrix is examined. Solutions are derived for the stress and displacement fields near the junction formed by the intersection of the interfaces between the inclusion and the matrix. The stress field consists of symmetric (mode I) and skew-symmetric (mode II) components. The magnitude of the intensity factor associated with each mode of deformation is determined using a combination of the finite element method and a contour integral. The numerical results of the stresses near the interface junction of two different inclusion geometries show that the asymptotic solutions of the stresses are in agreement with those from the finite element prediction when higher-order terms are considered. The implications of the results for the failure of particle-reinforced and two-phase brittle materials are discussed.

Geometrically Non-Linear Analysis of Composite Cylindrical Shells and Shallow Sphere Shell

2011 ◽  
Vol 71-78 ◽  
pp. 3303-3307
Author(s):  
Yan He ◽  
Xiu Qin Cui
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Analytical Procedure ◽  
Surface Displacement ◽  
Middle Surface ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Main Method ◽  
Surface Patches ◽  
Element Method

At present, the plate shell structure is broadly used in the engineering field, and the finite element method is the main method to analysis of the structural design. Because many variables are used in the finite element method and the computation is complex, this paper used Bezier surface patches as the admissible displacement fields to represent the shell’s middle surface displacement and rotation components, the deformation of the composite material cylindrical shell and shallow sphere shell under the loads are studied with a Semi-analytical procedure. The results show that semi-analytical and analytical procedure are in good agreement with the results of the analysis, it can be applied in the project.

scholarly journals APPLICATION OF QUARTER-POINT SINGULAR ELEMENT IN FINITE ELEMENT METHOD TO SIMULATION OF CRACK TIP BEHAVIOR

2010 ◽  
Vol 13 (2) ◽  
pp. 5-13
Author(s):  
Thien Tich Truong ◽  
Bang Kim Tran
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Crack Tip ◽  
Singular Element ◽  
Displacement Fields ◽  
Mathematical Background ◽  
Stress And Displacement Fields ◽  
Calculation Results ◽  
Element Method

Fracture mechanics is a new branch in engineering. The development of modern mathematical background with different numerical methods has supported fracture mechanics to solve many complex fracture problems in practice effectively. This article introduces the application of quarter - point singular element in finite element method to simulate crack tip behavior in two dimensional problems. The ANSYS and FRANC2D programs are used to compute stress intensity factor, simulate the stress and displacement fields near crack tip and simulate crack propagation. The calculation results are compared with analytical results and the results in other articles.

Geometrically Non-Linear Analysis of Composite Shell Structure Deformation

2012 ◽  
Vol 460 ◽  
pp. 381-384
Author(s):  
Yan He ◽  
Zheng Jian Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shell Structure ◽  
Analytical Procedure ◽  
Composite Shell ◽  
Surface Displacement ◽  
Middle Surface ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Element Method

At present, the shell structure is broadly used in the engineering field, and the finite element method is the main method to analysis of the structural design. Because many variables are used in the finite element method and the computation is complex, this paper used Bezier surface patches as the admissible displacement fields to represent the shell’s middle surface displacement and rotation components, the deformations of the composite shell under the loads are studied with a Semi-analytical procedure. The results show that semi-analytical and analytical procedure are in good agreement with the results of the analysis, it can be applied in the project.

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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