Stress analysis in viscoelastic bodies using finite elements and a correspondence rule with elasticity

1969 ◽  
Vol 4 (3) ◽  
pp. 236-243 ◽  
Author(s):  
J P H Webber
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Stress Analysis ◽  
Plane Stress ◽  
Numerical Results ◽  
Displacement Method ◽  
Creep Experiment ◽  
Short Time ◽  
Distribution Of Stress ◽  
Viscoelastic Bodies

It is shown how the finite-element displacement method of analysis using an elastic analogy may be applied to problems in plane stress where the material is viscoelastic. The method allows material non-homogeneity to be taken into account, as it might need to be in some thermo-viscoelastic problems. Some numerical results are given, based on the Maxwell body, and these are supported by a short-time creep experiment on a sheet of perspex. The distribution of stress is found to change slightly during this period of time.

scholarly journals The stress analysis of a shear wall with matrix displacement method using rectangular finite element

2021 ◽  
Vol 4 (1) ◽  
pp. 18-27
Author(s):  
Mustafa Ergün ◽  
Şevket Ateş
Keyword(s):  
Finite Element ◽  
Stress Analysis ◽  
Plane Stress ◽  
Shear Wall ◽  
Element Formulation ◽  
The Finite Element Method ◽  
Displacement Method ◽  
Element Analysis ◽  
The Matrix ◽  
Characteristic Features

The aim in this study is to numerically present some characteristic features of the rectangular finite element using the matrix displacement method and to show the utility of this element in plane stress problems compared to the finite element method. The paper consisted of three parts. In the first part, all of the finite element formulation steps from choosing the convenient coordinate system to creating element stiffness matrix are presented respectively. In the second part of the study, a static finite element analysis of the shear wall is also made by ANSYS Mechanical APDL. In the final part, the results (displacements, strains and stresses) obtained from the previous parts are compared with each other by the help of tables and graphics. The results show that this method is effective and preferable for the stress analysis of shell structures. Further studies should be conducted in order to indicate the efficiency of the matrix displacement method for the solution of different types of plane stress problems using different finite elements.

The Effects of Oblique Running and Ideal Motion on Stress Analysis of Bridge Crane Wheels

2005 ◽  
Vol 128 (6) ◽  
pp. 1361-1365
Author(s):  
Mine Demirsoy
Keyword(s):  
Finite Element ◽  
Stress Analysis ◽  
Numerical Results ◽  
Bridge Crane ◽  
Finite Element Package ◽  
Girder Bridge ◽  
The Ideal

In this study, the effects of oblique running and ideal motion on the stresses of bridge crane wheels were examined. The stresses on the crane wheels were calculated using the rotation angles and the forces. The commercial finite element package I-DEAS was used for the solution of the problem. The technical values of two double girder bridge cranes with 32 and 50ton carrying capacities and 18m crane span were used. Finally, the stresses caused by the oblique running were compared with the ideal motion. The numerical results show that the stress values increase by the oblique running.

New Specimen for Determination of the State of Plane Stress

2013 ◽  
Vol 486 ◽  
pp. 227-232 ◽  
Author(s):  
Vladimir Goga
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Analysis ◽  
Plane Stress ◽  
Testing Machine ◽  
Von Mises Stress ◽  
Special Equipment ◽  
Tensile Testing Machine ◽  
Principal Axes ◽  
Element Method

This paper presents new design of the structural specimen for plane stress analysis. Requirement was that the specimen is loaded by universal tensile testing machine without any special equipment. Specimen was analyzed using finite element method in ANSYS Workbench software. Finite element method was also used for simulation of strain gauge measurement to determine principal stresses, equivalent von Mises stress and orientation of the principal axes in the center of specimen. Finally, experimental stress analysis using strain gauges was performed on real specimen. Results from experimental measurements and numerical simulations were compared.

scholarly journals Finite Element Modeling of Stress Behavior of FGM Nanoplates

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Nguyen Thi Giang
Keyword(s):  
Finite Element ◽  
Mechanical Response ◽  
Shear Deformation Theory ◽  
Numerical Results ◽  
Engineering Practice ◽  
The Finite Element Method ◽  
Maximum Value ◽  
Stress Components ◽  
Distribution Of Stress ◽  
Finite Element Formulations

The mechanical response investigation of nanoplates especially the stress distribution plays a very important role in engineering practice, which is a condition to help test the durability as well as design and use the nanoplate structures most effectively. This pioneering paper uses the finite element method to simulate the stress field of FGM nanoplates based on the first-order shear deformation theory of Mindlin. The finite element formulations are derived by taking into account the effect of the nonlocal coefficient to analyze the mechanical response of nanometer-scale plates. This work presents the distribution of stress components in the xy-plane of plates with different boundary conditions. The numerical results also show clearly that the nonlocal coefficient has a significant influence on the deflection and stress of FGM nanoplates. These numerical results are very new and stunning which clearly show the position of the stress reaching the maximum value. This work is also the basis for scientists in testing the durability of FGM nanoplates.

Thermo-elastic analysis of rectangular plates in plane stress by the finite-element displacement method

1967 ◽  
Vol 2 (1) ◽  
pp. 43-51 ◽  
Author(s):  
J P H Webber
Keyword(s):  
Finite Element ◽  
Plane Stress ◽  
Elastic Plate ◽  
Stiffness Matrix ◽  
Corner Point ◽  
Elastic Analysis ◽  
Rectangular Plates ◽  
Displacement Method ◽  
Column Matrix ◽  
Temperature Load

The finite-element displacement method is used to solve a number of thermo-elastic plate problems involving different boundary conditions and variations of thickness. A plane-stress element stiffness matrix and temperature-load column matrix are derived on the assumption that thickness and temperature representations within the element are based on corner-point values. Results obtained from different element models are compared with other analytical solutions in order to establish the best element representation.

Coupled Axisymmetric and Plane Stress Finite Element Model for the Stress Analysis of an Aircraft Engine Compressor

2007 ◽  
Author(s):  
Dinesh Immaneni ◽  
Joseph J. Rencis
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Stress Analysis ◽  
Plane Stress ◽  
Coupled Model ◽  
Aircraft Engine ◽  
Element Model ◽  
Design Stage ◽  
Three Dimensional Model ◽  
Engine Compressor

A coupled finite element model is proposed that can be used to carry out a static stress analysis of rotating parts. The rotating part consists of a disk modeled with four-node axisymmetric quadrilateral elements and blades modeled with four-node quadrilateral plane stress elements. The coupled finite element model is used to carry out a stress analysis of a simple rotor and complex aircraft engine compressor. The coupled model is compared to a solid ANSYS® finite element model using the twenty noded tetrahedral element. The major advantage of the coupled model over a three-dimensional model is that an analysis can be carried out quickly in the early design stage.

scholarly journals Photoelastic and Finite Element Stress Analysis of the Gap between the L4 and L5 Vertebrae

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Sarah Fakher Fakhouri ◽  
Suraya Gomes Novais-Shimano ◽  
Marcos Massao Shimano ◽  
Helton Defino ◽  
Cleudmar Amaral Araujo ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Intervertebral Disc ◽  
Stress Analysis ◽  
Disc Degeneration ◽  
Compressive Load ◽  
The Finite Element Method ◽  
Finite Element Stress Analysis ◽  
Transmission Technique

The purpose of this study was to analyze the stresses on the intervertebral disc between vertebrae L4 and L5 when a compressive load is applied on vertebra L4 using the photoelasticity transmission technique and the finite element method. Nine photoelastic models were used and were divided into three groups. Each group was formed by three models, according to the localization of the sagittal cut on vertebrae L4-L5. Simulation was carried out using a load of 23 N. The fringe orders were assessed by points close to the edge of the intervertebral disc using the Tardy compensation method. The analyses using the photoelasticity technique and the model of the finite elements showed that the stress generated by the vertebrae on the intervertebral disc was higher in the posterolateral region. Thus, this region is more susceptible to pathologies such as hernia and disc degeneration.

On the Detection of Stress Singularities in Finite Element Analysis

2018 ◽  
Vol 86 (2) ◽  
Author(s):  
G. B. Sinclair ◽  
J. R. Beisheim ◽  
A. A. Kardak
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Finite Elements ◽  
Stress Analysis ◽  
Mesh Refinement ◽  
Extensive Literature ◽  
Stress Singularities ◽  
Element Analysis ◽  
Natural Counterpart ◽  
Detection Of Stress

Finite element analysis (FEA) has become the method of choice for the stress analysis of many of the complex configurations encountered in practice. Such configurations can contain stress singularities. Then, it is critical for the necessarily finite estimates from finite elements to be rejected as valid results for the infinite stresses present. There is an extensive literature devoted to the asymptotic identification of stress singularities that can often, but not always, provide a means for such rejection. The present study seeks to offer a further means of rejection: mesh refinement with divergence checks. These divergence checks are a natural counterpart to the convergence checks of ASME. The two are used together on 265 finite element stresses at 32 different singularities: all of these finite element stresses are thus rejected.

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