Using Finite Element Methods to Calculate the Deflection of an Orifice Plate Subject to Uniform Pressure Distribution

We model the fluid flow within the crack as one-dimensional flow and assume that the flow is laminar; the fluid is incompressible and accounts for the time-dependent rate of crack opening. Here, we discretise the flow equation by finite volume methods. The extended finite element methods are used for solving solid medium with crack under dynamic loads. Having constructed the approximation of dynamic extended finite element methods, the derivation of governing equation for dynamic extended finite element methods is presented. The implicit time algorithm is elaborated for the time descritisation of dominant equation. In addition, the interaction integral method is given for evaluating stress intensity factors. Then, the coupling model for modelling hydraulic fracture can be established by the extended finite element methods and the finite volume methods. We compare our present numerical results with our experimental results for verifying the proposed model. Finally, we investigate the water pressure distribution along crack surface and the effect of water pressure distribution on the fracture property.

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Analysis of the main factors affecting mass production in the plastic molding process by using the finite element method

Eastern-European Journal of Enterprise Technologies ◽

10.15587/1729-4061.2021.248375 ◽

2021 ◽

Vol 6 (1 (114)) ◽

pp. 65-71

Author(s):

Hani Mizhir Magid ◽

Badr Kamoon Dabis ◽

Mohammad Abed alabas Siba

Keyword(s):

Finite Element ◽

Stress Distribution ◽

Pressure Distribution ◽

Mass Production ◽

Computer Aided Design ◽

Thermal Stresses ◽

Projection Area ◽

Uniform Pressure ◽

Filling Time ◽

Computer Aided

Plastic injection molding is widely used in many industrial applications. Plastic products are mostly used as disposable parts or as portable parts for fast replacements in many devices and machines. However, mass production is always adopted as an ideal method to cover the huge demands and customers’ needs. The problems of warpage due to thermal stresses, non-uniform pressure distribution around cavities, shrinkage, sticking and overall products quality are some of the important challenges. The main objective of this work is to analyze the stress distribution around the cavities during the molding and demolding to avoid their effects on the product quality. Moreover, diagnosing the critical pressure points around and overall the cavity projection area, which is subjected to high pressure will help to determine the optimum pressure distribution and ensure filling all cavities at the same time, which is another significant objective. Computer-aided design (CAD) and CATIA V5R20 are adopted for design and modeling procedures. The computer-aided engineering (CAE) commercial software ABAQUS 6141 has been dedicated as finite element simulation packages for the analysis of this process. Simulation results show that stress distribution over the cavities depends on both pressure and temperature gradient over the contact surfaces and can be considered as the main affecting factor. The acceptable ranges of the cavity stresses were determined according to the following values: the cavity and core region temperature of 55–65 °C, filling time of 10–20 s, ejection pressure 0.85 % of injection pressure, and holding time of 10–15 s. Also, theoretical results reveal that the uniform pressure and temperature distribution can be controlled by adjusting the cavities layout, runner, and gate size. Moreover, the simulation process shows that it is possible to facilitate and identify many difficulties during the process and modify the prototype to evaluate the overall manufacturability before further investing in tooling. Furthermore, it is also concluded that tooling iterations will be minimized according to the design of the selected process

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Illustrative analysis of load-displacement curves in nanoindentation

Journal of Materials Research ◽

10.1557/jmr.2007.0381 ◽

2007 ◽

Vol 22 (11) ◽

pp. 3075-3086 ◽

Cited By ~ 15

Author(s):

A.C. Fischer-Cripps

Keyword(s):

Mechanical Properties ◽

Finite Element Analysis ◽

Finite Element ◽

Pressure Distribution ◽

Fused Silica ◽

Uniform Pressure ◽

Berkovich Indenter ◽

Element Analysis ◽

Physical Reason ◽

Elastic Unloading

The nature of the elastic unloading after an elastic-plastic contact with a conical or Berkovich indenter is studied. Three representative specimens having different mechanical properties were tested. Finite-element results for the pressure distribution beneath the indenter during unloading suggest that the effective indenter is in fact very closely approximated by a sphere in the case of fused silica (a material with a relatively low value of E/H) and a more uniform pressure distribution in the case of silicon and sapphire (materials with higher values of E/H). The proposed reason for these observations is the extent and influence of an elastic enclave directly beneath the indenter as revealed by finite-element analysis. The results also show that the pressure distribution retains its form during the entire unloading. The work seeks to provide a physical reason for the value of the fitting exponent m as used in popular nanoindentation data analysis procedures.

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Paper 22: Elastic Distortion of Journal Bearing Housings

Proceedings of the Institution of Mechanical Engineers Conference Proceedings ◽

10.1243/pime_conf_1967_182_421_02 ◽

1967 ◽

Vol 182 (14) ◽

pp. 183-191 ◽

Cited By ~ 2

Author(s):

S. M. Ibrahim ◽

H. McCallion

Keyword(s):

Finite Element ◽

Film Thickness ◽

Pressure Distribution ◽

Finite Element Methods ◽

Significant Influence ◽

Journal Bearing ◽

Lubricant Film ◽

Lubricant Film Thickness ◽

Number Of Factors ◽

Elastic Distortion

The elastic distortion of journal bearing housings can have a significant influence on the lubricant film thickness and, consequently, upon the oil pressure distribution. The present investigation is aimed at putting orders of magnitude on the housing distortion by finite element methods. The influences of a number of factors on these distortions are illustrated and discussed.

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Equilibrium Profile of Modern Belted Radial Ply Tires: Its Determination and Performance Benefits

Tire Science and Technology ◽

10.2346/tire.13.410203 ◽

2013 ◽

Vol 41 (2) ◽

pp. 127-151

Author(s):

Rudolf F. Bauer

Keyword(s):

Finite Element ◽

Aspect Ratio ◽

Finite Element Methods ◽

Mathematical Analysis ◽

Internal Stresses ◽

Stress Concentrations ◽

Equilibrium Profiles ◽

Equilibrium Profile ◽

And Performance ◽

Beneficial Property

ABSTRACT The benefits of a tire's equilibrium profile have been suggested by several authors in the published literature, and mathematical procedures were developed that represented well the behavior of bias ply tires. However, for modern belted radial ply tires, and particularly those with a lower aspect ratio, the tire constructions are much more complicated and pose new problems for a mathematical analysis. Solutions to these problems are presented in this paper, and for a modern radial touring tire the equilibrium profile was calculated together with the mold profile to produce such tires. Some construction modifications were then applied to these tires to render their profiles “nonequilibrium.” Finite element methods were used to analyze for stress concentrations and deformations within all tires that did or did not conform to equilibrium profiles. Finally, tires were built and tested to verify the predictions of these analyses. From the analysis of internal stresses and deformations on inflation and loading and from the actual tire tests, the superior durability of tires with an equilibrium profile was established, and hence it is concluded that an equilibrium profile is a beneficial property of modern belted radial ply tires.

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