Optimum material gradient for a Functionally Graded Endodontic Prefabricated Post: FEA

2016 ◽  
pp. 51-56
Keyword(s):  
Functionally Graded ◽  
Optimum Material

Optimum Material Design of Metal-Ceramic Hybrid Functionally Graded Composite

2008 ◽  
Vol 569 ◽  
pp. 121-124 ◽  
Author(s):  
Joo Hyoung Choi ◽  
Jin Rae Cho
Keyword(s):  
Volume Fraction ◽  
Optimization Technique ◽  
Material Design ◽  
Linear Interpolation ◽  
Functionally Graded ◽  
Homogeneous Material ◽  
Functionally Graded Composite ◽  
Optimum Material ◽  
Discrete Optimum ◽  
Optimum Volume

In this paper, an efficient optimum material design technique is introduced for hybrid designing of dual-phase heat-resisting functionally graded composites. The graded region is divided into a finite number of homogeneous material layers in order to reduce the total design variables. The discrete optimum volume fractions are sought by making use of the interior penalty method and the finite difference sensitivity scheme. A linear interpolation technique is adopted to make the final optimum volume fraction distribution be continuous. The validity of the proposed optimization technique is examined through the illustrative numerical experiment.

scholarly journals Optimum Material Gradient for Functionally Graded Rectangular Plate with the Finite Element Method

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Wasim M. K. Helal ◽  
Dongyan Shi
Keyword(s):  
Rectangular Plate ◽  
Volume Fraction ◽  
Exponential Model ◽  
Functionally Graded ◽  
Von Mises Stress ◽  
The Finite Element Method ◽  
Optimum Material ◽  
Stress And Deformation ◽  
Von Mises ◽  
Sigmoid Functions

The optimum material gradient of a rectangular plate made of functionally graded material (FGM) is determined in this study. Elastic modulus of functionally graded (FG) rectangular plate is assumed to vary continuously throughout the height of the plate, according to the volume fraction of the constituent materials based on the power law, exponential model I, exponential model П, or sigmoid functions. The difference between these distribution functions for the constituents’ volume fraction is discussed in this study. To determine the optimum material gradient of a rectangular plate made of FGM, the finite element method and the optimization techniques are used. In this study, von Mises stress, shear stress, and deformation in FGM case with the power law, exponential model I, exponential model П, or sigmoid functions are investigated. Simulation results indicate that the optimum material gradient for FG rectangular plate can be described by using a modified sigmoid function. The maximum values of von Mises stress, shear stress, and deformation in FG rectangular plate with the optimum material gradient are reduced compared with the pure material case by around 22%, 11%, and 24%, respectively.

Determination of the Optimum Material Gradient for a Functionally Graded Endodontic Prefabricated Post Using a Sub-Problem Approximation Method

2018 ◽  
Vol 39 ◽  
pp. 24-39
Author(s):  
Wasim M.K. Helal ◽  
Feng Chun Jiang ◽  
Dong Yan Shi
Keyword(s):  
Shear Stress ◽  
Approximation Method ◽  
Treatment Process ◽  
Functionally Graded ◽  
Von Mises Stress ◽  
Dental Patient ◽  
Short Period ◽  
Optimum Material ◽  
Stress And Deformation ◽  
Von Mises

The treatment process of a tooth every short period has many disadvantages to the dental patient, for instance, wasting time, losing money, and tiring the dental patient. Therefore, selecting the suitable technique for treating the tooth, with increasing the lifetime of the tooth has become more necessary in the daily life of the dental scientists. In the present days, an Endodontic Prefabricated Post (EPP) plays an important vital role in the treatment process of the tooth. Comparisons among von Mises stress, shear stress, and deformation of homogenous cases were investigated in the present work through the finite element analysis (FEA). The effect of EPP material on von Mises stress, shear stress, and deformation components occurred on the dentin in cases of Functionally Graded Endodontic Prefabricated Post (FGEPP), and EPP-homogenous was carried out. After that, the sub-problem approximation method was adopted for determining the optimum material gradient for a FGEPP.

Optimum Gradation Direction for a Functionally Graded Endodontic Prefabricated Parallel Post: A Finite Element Method

2015 ◽  
Vol 24 ◽  
pp. 56-69 ◽  
Author(s):  
Wasim M.K. Helal ◽  
Dong Yan Shi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Optimization Technique ◽  
Functionally Graded ◽  
Sigmoid Function ◽  
Stress Distributions ◽  
The Finite Element Method ◽  
Graded Material ◽  
Optimum Material ◽  
Element Method

The main purpose of the present work is to determine the optimum gradation direction of an endodontic prefabricated parallel post (EPPP) made of functionally graded material (FGM). To determine the optimum gradation direction of an EPPP made of FGM, the finite element method (FEM) is used. After that, the optimization technique was adopted in order to determine the optimum material gradient for the functionally graded endodontic prefabricated parallel post (FGEPPP). Simulation results indicated that, the optimum gradation direction for the FGEPPP is from up to down, and can be described by using a modified sigmoid function. The effect of varying of the material gradient indexes on the performance of the (FGEPPP) is investigated. Also, stress distributions in all of FGEPPP cases and in homogeneous EPPP case are investigated. The current investigation shows that, the use of the FGM improves the performance of an EPPP.

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