scholarly journals Exact Solution for Functionally Graded Variable-Thickness Rotating Disc with Heat Source

2010 ◽  
Vol 224 (11) ◽  
pp. 2316-2331 ◽  
Author(s):  
M Bayat ◽  
A H Mohazzab ◽  
B B Sahari ◽  
M Saleem
Keyword(s):  
Heat Source ◽  
Variable Thickness ◽  
Thermal Load ◽  
Radial Stress ◽  
Mechanical Load ◽  
Functionally Graded ◽  
Displacement Fields ◽  
Rotating Disc ◽  
Thickness Profile ◽  
Stress And Displacement Fields

Exact elastic solutions for axisymmetric variable-thickness hollow rotating discs with heat source made of functionally graded (FG) materials under free—free and fixed—free boundary conditions are presented. Material properties and disc thickness profiles are assumed to be represented by specified power law distributions. The effect of the heat source and the geometry of the disc on stress and displacement fields are investigated. It is found that the location of maximum radial stress owing to thermal load does not tend towards the outer surface like radial stress owing to mechanical load for free—free FG discs with an increase in parameter m related to the thickness profile. The temperature distribution in a disc with hyperbolic thickness profile is the smallest compared with other thickness profiles. The FG disc with hyperbolic convergent thickness profile has smaller stresses because of thermal load compared with the disc with uniform thickness profile.

Studying the Critical Buckling Load of FG Beam Using ANSYS

2021 ◽  
Vol 1039 ◽  
pp. 7-22
Author(s):  
Khetam S. Ateah ◽  
Luay S. Alansari
Keyword(s):  
Power Law ◽  
Thermal Load ◽  
Mechanical Load ◽  
Functionally Graded ◽  
Thickness Ratio ◽  
Buckling Load ◽  
Mode Number ◽  
Critical Buckling Load ◽  
Fg Beam ◽  
Power Law Index

In this article, the critical buckling load of functionally graded beam is calculated using ANSYS APDL Software (version 17.2) under mechanical and thermal load. In mechanical load, the effects of length to thickness ratio, power law index and mode number on the non-dimension critical buckling load of fixed-fixed and fixed-free FG beam. The results show that the length to thickness ratio is not effect on the non-dimension critical buckling load while the power law index and mode number effect on the non-dimension critical buckling load. In thermal load, the critical buckling load for fixed-fixed and pinned-pinned FG beam depend on length to thickness ratio, power law index and mode number. The results show that the critical buckling load increases with decreasing length to thickness ratio.

Three-dimensional elasticity analysis of functionally graded rotating cylinders with variable thickness profile

2011 ◽  
Vol 226 (3) ◽  
pp. 585-594 ◽  
Author(s):  
E Ghafoori ◽  
M Asghari
Keyword(s):  
Variable Thickness ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Numerical Results ◽  
Constant Thickness ◽  
Rotating Cylinders ◽  
Hollow Structures ◽  
Thickness Profile ◽  
Axisymmetric Structure ◽  
Three Dimensional Elasticity

A three-dimensional elasticity solution for the analysis of functionally graded rotating cylinders with variable thickness profile is proposed. The axisymmetric structure has been divided in several divisions in the radial direction. Constant mechanical properties and thickness profile are assumed within each division. The solution is considered for four different thickness profiles, namely constant, linear, concave, and convex. It is shown that the linear, concave, and convex thickness profiles have smaller stress values compared to a constant thickness profile. The effects of various grading indices as well as different boundary conditions, namely solid, free–free hollow and fixed–free hollow structures are discussed. A series of numerical results using zirconia as outer surface ceramic and aluminium as inner surface metal are presented. Parametric study has then been carried out to give a better understanding of how different stress, strain, and displacement components change along radial and axial directions of the rotating structures. Numerical results show that for a given grading index, the structures with a concave thickness profile have the smaller circumferential strain and stress compared to other thickness profiles.

Analytical Solution of Stress and Displacement Fields of Frozen Wall in Deep Alluvium According for Time-Space Effect

2012 ◽  
Vol 170-173 ◽  
pp. 1820-1826
Author(s):  
Mao Yan Ma ◽  
Hua Cheng ◽  
Chuan Xin Rong
Keyword(s):  
Analytical Solution ◽  
Radial Stress ◽  
Displacement Fields ◽  
Time Space ◽  
Stress And Displacement Fields ◽  
Calculation Results ◽  
Space Effect ◽  
Frozen Wall ◽  
Theory Of Viscoelasticity ◽  
Shaft Wall

Based on the theory of viscoelasticity and the principle of interaction between surrounding rock and structure in unload state, analytical solution of the stress field and displacement field of the frozen wall is obtained. Calculation results of the stress and displacement fields suggest that radial stress and displacement in the sidewall are very large within 15 days after pouring concrete of the outer shaft wall, which is proved by the fact that engineering incidents such as shaft wall rupture happen exactly at this time. The results also indicate that radial stress at different points in frozen wall all tend to the imposed loads on outer frozen wall finally, and that means the frozen wall is fluidized. This calculation theory can be used in the design of frozen wall in deep alluvium.

scholarly journals Nonlinear Vibration of Porous Funcationally Graded Cylindrical Panel Using Reddy’s High Order Shear Deformation

2019 ◽  
Vol 35 (4) ◽  
Author(s):  
Vu Minh Anh ◽  
Nguyen Dinh Duc
Keyword(s):  
Dynamic Response ◽  
Shear Deformation ◽  
Thermal Load ◽  
Mechanical Load ◽  
Shear Deformation Theory ◽  
Cylindrical Panel ◽  
Functionally Graded ◽  
Winkler Foundation ◽  
Elastic Foundations ◽  
Distribution Type

The nonlinear dynamic response and vibration of the porous functionally graded cylindrical panel (PFGCP) subjected to the thermal load, mechanical load and resting on elastic foundations are determined by an analytical approach as the Reddy’s third-order shear deformation theory, Ahry’s function… The results for dynamic response of PFGCP present the effect of geometrical ratio, elastic foundations: Winkler foundation and Paskternak foundation, loads: mechanical load and thermal load, the material properties and distribution type of porous. The results are shown as numerical results, figures and are determined by using Galerkin methods and Fourth-order Runge-Kutta method.

THE EFFECT OF CERAMIC IN COMBINATION OF TWO SIGMOID FUNCTIONALLY GRADED ROTATING DISKS WITH VARIABLE THICKNESS

2012 ◽  
Vol 09 (02) ◽  
pp. 1240029 ◽  
Author(s):  
M. BAYAT ◽  
B. B. SAHARI ◽  
M. SALEEM
Keyword(s):  
Variable Thickness ◽  
Functionally Graded ◽  
Rotating Disks ◽  
Thickness Profile ◽  
Metal Ceramic ◽  
Graded Material ◽  
The One ◽  
Rotating Load ◽  
Power Law Distributions ◽  
Different Thickness

This paper presents elastic solutions of a disk made of functionally graded material (FGM) with variable thickness subjected to rotating load. The material properties are represented by combination of two sigmoid FGM (S-FGM) namely aluminum–ceramic–aluminum and the disk's different thickness profiles are assumed to be represented by power law distributions. Hollow disks are considered and the solutions for the displacements and stresses are given under appropriate boundary conditions. The effects of the material grading index n and the geometry of the disk on the displacements and stresses are investigated. The results are compared with the known results in the literature on metal–ceramic–metal FGMs. Also the solutions are compared S-FGM versus FGM and non FGM and variable thickness versus uniform thickness. It is found that a sigmoid functionally graded disk with concave thickness profile has smaller displacements and stresses compared with concave or linear thickness profile. It is also observed that an S-FGM rotating functionally graded disk with metal–ceramic–metal combination can be more efficient than the one with ceramic–metal or metal–ceramic.

Thermo-mechanical stress analysis of rotating fiber reinforced variable thickness disk

2021 ◽  
pp. 030932472110609
Author(s):  
Ömer Can Farukoğlu ◽  
İhsan Korkut
Keyword(s):  
Variable Thickness ◽  
Failure Criteria ◽  
Temperature Gradients ◽  
Fiber Reinforced ◽  
Displacement Fields ◽  
Disk Radius ◽  
Radial Temperature ◽  
Stress And Displacement Fields ◽  
Angular Velocities ◽  
Analytical Approaches

Circumferentially fiber reinforced composite disk, which has a variable thickness, is modeled via analytical approaches. The disk is subjected to rotation in traction free conditions and decreasing, constant, and increasing steady state radial temperature gradients along the disk radius. Limit angular velocities are calculated by operating Tsai-Wu and Norris failure indexes to the problem. Subsequently, these limit velocities are gradually decreased to examine the stress and displacement fields. Acquired results show that as the angular velocity drops, the effects of temperature gradients become more visible. At lower angular velocities, these gradients may even alter the stress field directions. Also, different failure criteria implementation may change the calculated limit velocities to a considerable degree. Therefore, the failure index should be chosen attentively to procure conservative results. In the investigation, the influence of disk geometry on the directional stresses is studied as well. Without further ado, it can be expressed that the geometry causes slight alterations in stresses and displacements.

Dynamic Crack-Tip Stress and Displacement Fields Under Thermomechanical Loading in Functionally Graded Materials

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
Kwang Ho Lee ◽  
Vijaya Bhaskar Chalivendra ◽  
Arun Shukla
Keyword(s):  
Functionally Graded Materials ◽  
Maximum Shear Stress ◽  
Crack Tip ◽  
Functionally Graded ◽  
Dynamic Crack ◽  
Loading Conditions ◽  
Thermomechanical Loading ◽  
Displacement Fields ◽  
Graded Materials ◽  
Stress And Displacement Fields

Thermomechanical stress and displacement fields for a propagating crack in functionally graded materials (FGMs) are developed using displacement potentials and asymptotic analysis. The shear modulus, mass density, and coefficient of thermal expansion of the FGMs are assumed to vary exponentially along the gradation direction. Temperature and heat flux distribution fields are also derived for an exponential variation of thermal conductivity. The mode mixity due to mixed-mode loading conditions around the crack tip is accommodated in the analysis through the superposition of opening and shear modes. Using the asymptotic stress fields, the contours of isochromatics (contours of constant maximum shear stress) are developed and the results are discussed for various crack-tip thermomechanical loading conditions.

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