CREEP BEHAVIOR OF ANISOTROPIC FUNCTIONALLY GRADED ROTATING DISCS

2013 ◽  
Vol 02 (01) ◽  
pp. 1350005 ◽  
Author(s):  
MINTO RATTAN ◽  
NEERAJ CHAMOLI ◽  
SATYA BIR SINGH ◽  
NISHI GUPTA
Keyword(s):  
Constitutive Model ◽  
Creep Behavior ◽  
Functionally Graded ◽  
Gradient Material ◽  
Stress And Strain ◽  
Rotating Disc ◽  
Functionally Gradient ◽  
Rotating Discs ◽  
Different Types ◽  
Stress And Strain Rate

The creep behavior of an anisotropic rotating disc of functionally gradient material (FGM) has been investigated in the present study using Hill's yield criteria and the creep behavior in this case is assumed to follow Sherby's constitutive model. The stress and strain rate distributions are calculated for disc having different types of anisotropy and the results obtained are compared graphically. It is concluded that the anisotropy of the material has a significant effect on the creep behavior of the FGM disc. It is also observed that the FGM disc shows better creep behavior than the non-FGM disc.

scholarly journals A constitutive model for Ti6Al4V considering the state of stress and strain rate effects

2019 ◽  
Vol 137 ◽  
pp. 103103 ◽  
Author(s):  
Wenyu Cheng ◽  
Jose Outeiro ◽  
Jean-Philippe Costes ◽  
Rachid M'Saoubi ◽  
Habib Karaouni ◽  
...  
Keyword(s):  
Constitutive Model ◽  
Strain Rate ◽  
The State ◽  
Stress And Strain ◽  
Strain Rate Effects ◽  
State Of Stress ◽  
Rate Effects ◽  
Stress And Strain Rate

scholarly journals Static Response of Functionally Graded Material Plate under Transverse Load for Varying Aspect Ratio

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Manish Bhandari ◽  
Kamlesh Purohit
Keyword(s):  
Aspect Ratio ◽  
Volume Fraction ◽  
Point Load ◽  
Functionally Graded ◽  
Transverse Load ◽  
Gradient Material ◽  
Structural Components ◽  
Functionally Gradient ◽  
Graded Material ◽  
Parametric Studies

Functionally gradient materials (FGM) are one of the most widely used materials in various applications because of their adaptability to different situations by changing the material constituents as per the requirement. Nowadays it is very easy to tailor the properties to serve specific purposes in functionally gradient material. Most structural components used in the field of engineering can be classified as beams, plates, or shells for analysis purposes. In the present study the power law, sigmoid law and exponential distribution, is considered for the volume fraction distributions of the functionally graded plates. The work includes parametric studies performed by varying volume fraction distributions and aspect ratio. The FGM plate is subjected to transverse UDL (uniformly distributed load) and point load and the response is analysed.

Thermal stress analysis of one- and two-dimensional functionally graded plates subjected to in-plane heat fluxes

2017 ◽  
Vol 233 (4) ◽  
pp. 546-562 ◽  
Author(s):  
M Didem Demirbas ◽  
M Kemal Apalak
Keyword(s):  
Heat Flux ◽  
Thermal Stress ◽  
Functionally Graded ◽  
Heat Fluxes ◽  
Gradient Material ◽  
Two Dimensional ◽  
Functionally Graded Plates ◽  
Functionally Gradient Material ◽  
Functionally Gradient ◽  
Composition Variation

This study addresses the thermal stress analysis of one- and two-dimensional functionally graded plates subjected to in-plane heat fluxes. The material composition variation is assumed in-plane, not through the plate thickness according to a power-law distribution in terms of the volume fraction of the constituents. The mathematical model considers the spatial derivatives of local mechanical and thermal properties. The heat transfer and Navier equations of the two-dimensional thermo-elastic model were discretized using the finite difference method, and the set of linear equations were solved using the pseudo singular value method. The performance of both one- and two-dimensional functionally gradient material plates was investigated under two types of in-plane fluxes: one-edge and two-edges. For each type of heat fluxes, one- and two-dimensional functionally gradient material plates exhibited different displacement, stress and strain distributions. The temperature levels and distributions were affected with increasing ceramic constituent in the composition variation of the plate. One-dimensional functionally gradient material plate was more suitable for an one-edge heat flux along the direction of material composition variation, whereas two-dimensional functionally gradient material plate was more effective on the relieving the thermal stresses for a two-edges heat flux.

Based on the Gradient Source Representation of Functionally Gradient Materials

2014 ◽  
Vol 496-500 ◽  
pp. 80-83
Author(s):  
Qiang Li ◽  
Ming Qing Wu
Keyword(s):  
Functionally Graded ◽  
Material Composition ◽  
Visual Design ◽  
Gradient Material ◽  
Material Source ◽  
Gradient Materials ◽  
Functionally Gradient ◽  
Material Entity ◽  
Graded Material ◽  
Design Requirements

In the process of functionally gradient material entity modeling, in order to meet the design requirements, one needs to constantly change coefficient of material composition equation. In order to facilitate visual design of functionally graded material entities within the distribution, the method based on gradient material source be adopted to directly change the coefficient of material composition functions, and according to the coefficient of material composition equation function image to choose material composition functions. Homogenous approaching gradient is used, the feasibility of change of gradient direction transformatio is proved.

Modeling of Creep Behavior of a Rotating Disc in the Presence of Both Composition and Thermal Gradients

2005 ◽  
Vol 127 (1) ◽  
pp. 97-105 ◽  
Author(s):  
V. K. Gupta ◽  
S. B. Singh ◽  
H. N. Chandrawat ◽  
S. Ray
Keyword(s):  
Silicon Carbide ◽  
Creep Behavior ◽  
Thermal Gradient ◽  
Radial Direction ◽  
Isothermal Condition ◽  
Functionally Graded ◽  
Average Particle ◽  
Rotating Disc ◽  
Particle Content ◽  
Isotropic Composite

The creep behavior of a rotating disc made of isotropic composite containing varying amounts of silicon carbide in the radial direction has been investigated in the presence of a thermal gradient, also in the radial direction. The variation of silicon carbide content has been so tailored as to contain larger amounts of particles in a highly stressed region. This type of inhomogeneous material is known as Functionally Graded Material (FGM). The thermal gradient experienced by the disc is the result of braking action as estimated by FEM analysis. The creep behavior of the disc under stresses developing due to rotation has been determined following Sherby’s law and compared with that of a similar disc following Norton’s law. The difference in the distribution of stresses and strain rates in the discs does not follow any definite trend but the values are somewhat different. The presence of thermal gradient and a linear particle gradient separately or their simultaneous presence result in a significant decrease in steady state creep rates as compared to that in a composite disc with the same average particle content (20 vol %) distributed uniformly and operating under isothermal condition. Further, the study revealed that the creep behavior of a FGM disc could be significantly improved by increasing the gradient of particle distribution while keeping the same average particle content of 20 vol % silicon carbide in the disc.

scholarly journals Creep Modeling in a Composite Rotating Disc with Thickness Variation in Presence of Residual Stress

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Vandana Gupta ◽  
S. B. Singh
Keyword(s):  
Residual Stress ◽  
Steady State ◽  
Creep Behavior ◽  
Yield Criterion ◽  
Steady State Creep ◽  
Thickness Variation ◽  
Stress And Strain ◽  
Rotating Disc ◽  
Varying Thickness ◽  
Von Mises

Steady-state creep response in a rotating disc made of Al-SiC (particle) composite having linearly varying thickness has been carried out using isotropic/anisotropic Hoffman yield criterion and results are compared with those using von Mises yield criterion/Hill's criterion ignoring difference in yield stresses. The steady-state creep behavior has been described by Sherby's creep law. The material parameters characterizing difference in yield stresses have been used from the available experimental results in literature. Stress and strain rate distributions developed due to rotation have been calculated. It is concluded that the stress and strain distributions got affected from the thermal residual stress in an isotropic/anisotropic rotating disc, although the effect of residual stress on creep behavior in an anisotropic rotating disc is observed to be lower than those observed in an isotropic disc. Thus, the presence of residual stress in composite rotating disc with varying thickness needs attention for designing a disc.

STUDY OF STRESS AND STRAIN RATES IN A ROTATING CYLINDER SUBJECTED TO INTERNAL AND EXTERNAL PRESSURE

2012 ◽  
Vol 01 (02) ◽  
pp. 1250022 ◽  
Author(s):  
NEERAJ CHAMOLI ◽  
MINTO RATTAN ◽  
SATYA BIR SINGH
Keyword(s):  
Internal Pressure ◽  
Strain Rate ◽  
Creep Behavior ◽  
Particulate Composite ◽  
External Pressure ◽  
Stress And Strain ◽  
Strain Rates ◽  
Tresca Criterion ◽  
Stress And Strain Rate ◽  
Silicon Carbide Particulate

The creep behavior of a thick walled hollow circular cylinder, made of aluminum silicon carbide particulate composite material has been investigated in the present study and creep behavior in this case is assumed to follow Sherby's constitutive model. The stress and strain rate distributions of cylinder rotating about its own axis, have been obtained using von Mises and Tresca yield criteria. The effect of pressure on the stresses and strain rates in the cylinder has been investigated and it is observed that with the increase of the internal pressure in the cylinder the strain rate increases. The introduction of external pressure along with the internal pressure causes the strain rates to decrease. It is also observed that the values of effective stress and strain rate obtained using Tresca criterion are higher than those obtained using Mises criterion. Thus it is suggested to use Tresca criterion for the analysis while designing the cylinder.

scholarly journals Elastic Analysis for Rotating Functionally Graded Annular Disk with Exponentially-Varying Profile and Properties

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Wen-Feng Lin
Keyword(s):  
Boundary Conditions ◽  
Governing Equation ◽  
Functionally Graded Material ◽  
Mechanical Load ◽  
Functionally Graded ◽  
Gradient Material ◽  
Annular Disk ◽  
Functionally Gradient Material ◽  
Functionally Gradient ◽  
Graded Material

Functionally graded materials have been widely used in engineering and human health applications. The issues about mechanical behavior of functionally graded material have received considerable attention. However, because of the complexity of material property, geometric profile, and mechanical load, there is still lack of proper analytic solutions about deformation and stress in many articles. The principal goal of this research is to study the effect of mechanical load on deformation and stress in rotating thin-walled functionally gradient material annular disk with exponentially-varying profile and properties. The inner and outer surfaces of annular disk are subjected to different pressures simultaneously. For this purpose, the infinitesimal theory of elasticity and axisymmetric plane stress assumptions has been proposed to formulate the governing equation. The governing equation is a generalized confluent hypergeometric differential equation, based on Whittaker’s functions; this is the first time that closed-form solutions of mechanical behaviors are revealed about proposed functionally gradient material model. Besides, another four boundary conditions are also discussed, i.e., the inner and outer surfaces of the annular disk are considered to be the combinations of free and clamped conditions. Numeric examples of two different functionally graded material properties are given to demonstrate displacement and stress solutions. Moreover, uniform disks made of homogeneous material under different boundary conditions are investigated, which are special cases of the proposed rotating functionally gradient material disks. Finally, some conclusions are made at the end of the present paper.

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