Analysis of Vickers Hardness by the Finite Element Method

1994 ◽  
Vol 61 (4) ◽  
pp. 822-828 ◽  
Author(s):  
Y. Murakami ◽  
K. Matsuda
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Residual Stresses ◽  
Vickers Hardness ◽  
Three Dimensional ◽  
Strain Curve ◽  
Hardness Test ◽  
Complete Removal ◽  
Maximum Load ◽  
Element Method

A particular formulation of the three-dimensional finite element method specifically for analyzing the Vickers hardness test is established. The Vickers hardness of 0.46 percent carbon steel and 70/30 brass is calculated using the proposed method using the stress-strain curve obtained from a tensile test. The calculated values correlate well with the experimental results for 0.46 percent steel and 70/30 brass. In addition, the analysis predicts the extension of the plastic zone induced by indentation, the stresses at the maximum load, and the residual stresses present after complete removal of the load. At the maximum load there are no tensile stresses in the vicinity of the indenter. However, after removal of the load, large tensile residual stresses are present on the diagonal edge beneath the indentation in the direction perpendicular to the diagonal edge. These results imply that it is necessary to reconsider the accuracy and validity of the conventional indentation method used for the determination of Klc for brittle materials such as ceramics.

Finite Element Method for Simulating the Vickers Hardness Test

2014 ◽  
Vol 555 ◽  
pp. 419-424 ◽  
Author(s):  
Victor Popovici ◽  
Adrian Catalin Pavalache ◽  
Mihai Vasile ◽  
Ionelia Voiculescu ◽  
Elena Manuela Stanciu ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Element Modeling ◽  
Vickers Hardness ◽  
Young Modulus ◽  
Hardness Test ◽  
The Finite Element Method ◽  
Simulation Based ◽  
Vickers Hardness Test ◽  
Element Method

The purpose of the present paper is to present a different approach to the finite element modeling of the Vickers hardness test measurement, and to establish a numerical correlation between the Young modulus of a material and its hardness. In order to realize this, calculations were based upon the tensions acquired as a result of the hollow caused in the investigated materials by the indenter the maps of stresses. The present work demonstrates that from the results of the simulation based on the finite element method it is possible to compute a material’s hardness.

scholarly journals Axial Compression Experiments and Finite Element Analysis of Basalt Fiber/Epoxy Resin Three-Dimensional Tubular Woven Composites

Materials ◽  
2020 ◽  
Vol 13 (11) ◽  
pp. 2584
Author(s):  
Liming Zhu ◽  
Huawei Zhang ◽  
Jing Guo ◽  
Ying Wang ◽  
Lihua Lyu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Epoxy Resin ◽  
Axial Compression ◽  
Three Dimensional ◽  
Maximum Load ◽  
Woven Fabrics ◽  
Woven Composites ◽  
Woven Composite ◽  
Element Method

In order to avoid the delamination of traditional tubular composite materials and reduce its woven cost, on an ordinary loom, the three-dimensional (3D) tubular woven fabrics were woven with basalt filament tows, and then the 3D tubular woven composites were prepared with epoxy resin by a hand layup process. The wall thickness of the 3D tubular woven composite was thin, and was only 2 mm thick. Through experiments and finite element method (FEM) simulation, the axial compression properties of the material were analyzed. The results show that the material 2 mm thick has good axial compression performance, the maximum load value of the experiment is 10,578 N, and the maximum load value of the finite element simulation is 11,285 N. The error between the two is 6.68%, indicating that the experiment and simulation have a good consistency. The failure mode of the material is also analyzed through finite element method simulation in the paper, thus revealing the failure stress propagation, local stress concentration, and failure morphology of the material. It provides an effective reference for the design and application of the 3D tubular woven composite.

Thermomechanical modelling and force analysis of friction stir welding by the finite element method

2004 ◽  
Vol 218 (5) ◽  
pp. 509-519 ◽  
Author(s):  
C Chen ◽  
R Kovacevic
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Friction Stir Welding ◽  
Residual Stresses ◽  
Three Dimensional ◽  
Clamping Force ◽  
Three Dimensional Model ◽  
Friction Stir ◽  
Proposed Model ◽  
Element Method

Friction stir welding (FSW) is a solid-state jointing technology, in which the butted plates are heated, plasticized and jointed locally by the plunged probe and shoulder moving along the joint line. The residual stresses due to the thermomechanical performance of the material and the constraint of the welded plates by the fixture are one of main concerns for this process. A prediction of the clamping force applied on the plates during FSW is expected to be helpful in controlling the residual stresses and weld quality. Furthermore, the prediction of the force history in FSW will be beneficial to understand the mechanics of the process and to provide valid models for controlling the process, especially in the case of robotic FSW. In this paper, a three-dimensional model based on a finite element method is proposed to study the thermal history and stress distribution in the weld and, subsequently, to compute mechanical forces in the longitudinal, lateral and vertical directions. The proposed model includes a coupled thermomechanical modelling. The parametric investigation of the effects of the tool rotational and longitudinal speed on the longitudinal, lateral and vertical forces is also conducted in order to compute the appropriate clamping force applied on the plates. Measurements by the load cells in the longitudinal, lateral and vertical directions are presented and reveal a reasonable agreement between the experimental results and the numerical calculations.

New Measuring Method of Axisymmetric Three-Dimensional Residual Stresses Using Inherent Strains as Parameters

1986 ◽  
Vol 108 (4) ◽  
pp. 328-334 ◽  
Author(s):  
Yukio Ueda ◽  
Keiji Fukuda ◽  
You Chul Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Residual Stresses ◽  
Three Dimensional ◽  
Measuring Method ◽  
Basic Theory ◽  
The Finite Element Method ◽  
New Approach ◽  
Practical Procedure ◽  
Element Method

For the measurement of axisymmetric three-dimensional residual stresses, Sachs’ method is often used. The accuracy of this method is not high when even small errors are contained in observed strains. In 1975, the authors presented a new approach for the measurement of residual stresses in which inherent strains (the source of residual stresses) are dealt with as parameters and formulated a basic theory using the finite element method. In this paper, based on the new approach, a basic theory for the measurement of axisymmetric three-dimensional residual stresses is developed and a practical procedure of measurement is presented. This method is applied to determine the residual stresses in a quenched shaft and its reliability and practicability are also demonstrated.

Towards Predicting Relative Belt Edge Endurance With the Finite Element Method

1990 ◽  
Vol 18 (4) ◽  
pp. 216-235 ◽  
Author(s):  
J. De Eskinazi ◽  
K. Ishihara ◽  
H. Volk ◽  
T. C. Warholic
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Three Dimensional ◽  
The Finite Element Method ◽  
Shear Deformations ◽  
Element Analysis ◽  
Vertical Loading ◽  
Predicted Values ◽  
Element Method

Abstract The paper describes the intention of the authors to determine whether it is possible to predict relative belt edge endurance for radial passenger car tires using the finite element method. Three groups of tires with different belt edge configurations were tested on a fleet test in an attempt to validate predictions from the finite element results. A two-dimensional, axisymmetric finite element analysis was first used to determine if the results from such an analysis, with emphasis on the shear deformations between the belts, could be used to predict a relative ranking for belt edge endurance. It is shown that such an analysis can lead to erroneous conclusions. A three-dimensional analysis in which tires are modeled under free rotation and static vertical loading was performed next. This approach resulted in an improvement in the quality of the correlations. The differences in the predicted values of various stress analysis parameters for the three belt edge configurations are studied and their implication on predicting belt edge endurance is discussed.

scholarly journals Transient Thermal Analysis of NH000 gG 100A Fuse Link Employing Finite Element Method

Energies ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1421
Author(s):  
Michał Szulborski ◽  
Sebastian Łapczyński ◽  
Łukasz Kolimas ◽  
Łukasz Kozarek ◽  
Desire Dauphin Rasolomampionona ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Ceramic Body ◽  
Three Dimensional ◽  
Operating Mode ◽  
Power Losses ◽  
Empirical Tests ◽  
Transient Thermal ◽  
Different Parts ◽  
Element Method

In this paper, a detailed three-dimensional, transient, finite element method of fuse link NH000 gG 100 A is proposed. The thermal properties during the operation of the fuses under nominal (100 A) and custom conditions (110 and 120 A) are the main focus of the analyses that were conducted. The work concerns both the outside elements of the fuse link (ceramic body) and the elements inside (current circuit). Both the distribution of the electric current and its impact on the temperature of the construction parts of the fuses during their operating mode have been described. Temperature distribution, power losses and energy dissipation were measured using a numerical model. In order to verify and validate the model, two independent teams of scientists executed experimental research, during which the temperature was measured on different parts of the device involving the rated current. Finally, the two sets of results were put together and compared with those obtained from the simulation tests. A possible significant correlation between the results of the empirical tests and the simulation work was highlighted.

Three-dimensional inversion of controlled-source audio-frequency magnetotelluric data based on unstructured finite-element method

2020 ◽  
Vol 17 (3) ◽  
pp. 349-360
Author(s):  
Xiang-Zhong Chen ◽  
Yun-He Liu ◽  
Chang-Chun Yin ◽  
Chang-Kai Qiu ◽  
Jie Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Three Dimensional ◽  
Audio Frequency ◽  
Magnetotelluric Data ◽  
Controlled Source ◽  
Element Method
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