scholarly journals Torsion of a growing prismatic bar with triangular cross-section made of a functional-graded material

2020 ◽  
pp. 139-154
Author(s):  
Михаил Николаевич Михин ◽  
Евгений Валерьевич Мурашкин
Keyword(s):  
Cross Section ◽  
Integral Boundary Conditions ◽  
Theory Of Elasticity ◽  
Functionally Graded ◽  
Integral Boundary ◽  
Continuous Growth ◽  
Triangular Cross Section ◽  
Regular Triangle ◽  
Graded Material ◽  
Functional Graded Material

В работе рассматривается задача о кручении растущего стержня треугольного сечения, изготовленного из вязкоупругого стареющего функционально-градиентного материала, с интегральными краевыми условиями на торцах. Изучается процесс непрерывного наращивания под действием крутящего момента. Предлагаются методы решения поставленных краевых задач путем приведения задач теории наращивания к задачам теории упругости с внутренним параметром. Приводятся формулы расшифровки для восстановления истинных параметров напряженно-деформированного состояния. Исследуется распределение интенсивности касательных напряжений на различных стадиях процесса наращивания. Приводятся расчеты задачи кручения призматического стержня с сечением в форме правильного треугольника. The paper considers the problem of torsion of a growing triangular cross-section bar made of a viscoelastic aging functionally-graded material with integral boundary conditions at the ends. The process of continuous growth under the influence of torque is studied. Methods for solving the set boundary value problems by reducing the problems of the growth theory to the problems of the theory of elasticity with an internal parameter are proposed. Deciphering formulas are given to restore the true parameters of the stress-strain state. The distribution of the shear stress intensity at different stages of the growth process is investigated. Calculations of the problem of torsion of a prismatic bar with a cross-section in the form of a regular triangle are presented.

Creep Analysis of Functionally Graded Material Thick-Walled Cylinder

2013 ◽  
Vol 315 ◽  
pp. 867-871 ◽  
Author(s):  
Saifulnizan Jamian ◽  
Hisashi Sato ◽  
Hideaki Tsukamoto ◽  
Yoshimi Watanabe
Keyword(s):  
Cross Section ◽  
Volume Fraction ◽  
Rectangular Cross Section ◽  
Functionally Graded ◽  
Graded Materials ◽  
Incremental Approach ◽  
Creep Analysis ◽  
Graded Material ◽  
Ring Elements ◽  
Walled Cylinder

In this paper, creep analysis for a thick-walled cylinder made of functionally graded materials (FGMs) subjected to thermal and internal pressure is carried out. The structure is replaced by a system of discrete rectangular cross-section ring elements interconnected along circumferential nodal circles. The property of FGM is assumed to be continuous function of volume fraction of material composition. The creep behavior of the structures is obtained by the use of an incremental approach. The obtained results show that the property of FGM significantly influences the stress distribution along the radial direction of the thick-walled cylinder as a function of time.

Densification of Step-Graded Al2O3-Al2O3/ZrO2 Composites

2005 ◽  
Vol 492-493 ◽  
pp. 207-212 ◽  
Author(s):  
Saša Novak ◽  
Sabina Beranič Klopčič
Keyword(s):  
Cross Section ◽  
Crack Formation ◽  
Functionally Graded ◽  
Green Density ◽  
Graded Materials ◽  
Dispersion State ◽  
Graded Material ◽  
Slip Cast ◽  
Solids Content ◽  
Sintering Shrinkage

The preparation of functionally graded materials requires specially adapted shaping techniques and special attention need to be paid to changes in the amount of shrinkage through the cross-section of the graded material during sintering, to avoid high residual stresses leading to crack formation. In this work we report on the results of investigations of FGMs of Al2O3, ZrO2 and ZTA and their densification as a function of the starting suspensions’ properties (alumina/zirconia ratio, solids content and dispersion state), with the aim of compensating for the different amount of sintering shrinkage of the outer and inner materials in step-graded Al2O3-ZTA composites. The sintering studies revealed that the green density and hence the densification of the slip-cast ceramic parts are almost independent on the solids content, while significant effect was observed for dispersion state of the suspensions. Hence, different amounts of total sintering shrinkage in stepgraded Al2O3-ZTA may be achieved by modification of the zeta-potential by adjusting the pH of well-dispersed suspensions.

Material tailoring in functionally graded rods under torsion

2014 ◽  
Vol 228 (18) ◽  
pp. 3283-3295 ◽  
Author(s):  
F Liaghat ◽  
MR Hematiyan ◽  
A Khosravifard
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Torsional Rigidity ◽  
Optimization Methods ◽  
Arbitrary Cross Section ◽  
Functionally Graded ◽  
Material Tailoring ◽  
Graded Material ◽  
The Cross ◽  
Torsional Analysis

Material tailoring in functionally graded isotropic hollow rods of arbitrary cross section under torsion is studied. The purposes of material tailoring pursued in this paper are divided into two categories. In the first category, we find the variation of the volume fractions of constituents of a functionally graded member under torsion to obtain an appropriate distribution of shear stress over the cross section. In the second category, the torsional rigidity of a rod with a pre-defined mass is maximized by appropriate determination of the variation of constituents of the functionally graded material. Hollow rods are studied in this paper since they have higher torsional rigidity compared to solid members with the same mass. Meshless numerical methods are used for torsional analysis of the cross sections. Moreover, numerical optimization methods are used for material tailoring of the rods. Several examples with different cross sections are presented to investigate the usefulness of the proposed technique on achieving the mentioned purposes.

scholarly journals Analysis of elastic field in functionally graded material beams with square cross-section

2017 ◽  
Author(s):  
Manish Agrawal ◽  
Mohammad Al Ahsan ◽  
Md. Afsar Ali
Keyword(s):  
Cross Section ◽  
Functionally Graded Material ◽  
Elastic Field ◽  
Functionally Graded ◽  
Graded Material

First-order-theory-based thermoelastic stability of functionally graded material circular plates

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 1444-1450 ◽  
Author(s):  
M. Najafizadeh ◽  
M. R. Eslami
Keyword(s):  
Functionally Graded Material ◽  
Order Theory ◽  
Functionally Graded ◽  
Circular Plates ◽  
First Order ◽  
First Order Theory ◽  
Graded Material

Material optimization of a cemented tibia tray using functionally graded material

2016 ◽  
Vol 58 (3) ◽  
pp. 260-268 ◽  
Author(s):  
Hassan S. Hedia ◽  
Saad M. Aldousari ◽  
Noha Fouda
Keyword(s):  
Functionally Graded Material ◽  
Functionally Graded ◽  
Material Optimization ◽  
Graded Material
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