Limit angular speed of L-FGM rotating disk for both temperature dependent and temperature independent mechanical properties

Madan, Royal; Bhowmick, Shubhankar; Saha, Kashinath

doi:10.1016/j.matpr.2019.07.080

Cited by 15 publications

(9 citation statements)

References 12 publications

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“…The temperature variation in a radial direction is computed using equation (5) for the first seven polynomial series terms. Constant temperature boundary conditions are imposed at r = a, T = T m = 25°C and at r = b, T = T c * = 500°C (Madan et al , 2019c): where: …”

Section: Materials Grading and Mathematical Formulationmentioning

confidence: 99%

“…To overcome this problem, the Halpin-Tsai method is used, which shows good agreement with experimental data. The other benefit of this method is that it considers the effect of the shape of the particle also (Madan et al , 2019c; Madan and Bhowmick, 2021). The effective Young’s modulus was calculated using the Halpin-Tsai method given by equation (8).…”

Section: Materials Grading and Mathematical Formulationmentioning

confidence: 99%

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A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

Madan

Bhowmick

2021

AEAT

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Purpose The purpose of this study is to investigate Thermo-mechanical limit elastic speed analysis of functionally graded (FG) rotating disks with the temperature-dependent material properties. Three different material models i.e. power law, sigmoid law and exponential law, along with varying disk profiles, namely, uniform thickness, tapered and exponential disk was considered. Design/methodology/approach The methodology adopted was variational principle wherein the solution was obtained by Galerkin’s error minimization principle. The Young’s modulus, coefficient of thermal expansion and yield stress variation were considered temperature-dependent. Findings The study shows a substantial increase in limit speed as disk profiles change from uniform thickness to exponentially varying thickness. At any radius in a disk, the difference in von Mises stress and yield strength shows the remaining stress-bearing capacity of material at that location. Practical implications Rotating disks are irreplaceable components in machinery and are used widely from power transmission assemblies (for example, gas turbine disks in an aircraft) to energy storage devices. During operations, these structures are mainly subjected to a combination of mechanical and thermal loadings. Originality/value The findings of the present study illustrate the best material models and their grading index, desired for the fabrication of uniform, as well as varying FG disks. Finite element analysis has been performed to validate the present study and good agreement between both the methods is seen.

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Section: Materials Grading and Mathematical Formulationmentioning

confidence: 99%

Section: Materials Grading and Mathematical Formulationmentioning

confidence: 99%

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

Madan

Bhowmick

2021

AEAT

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“…As testing is costly and time-consuming modeling of material is essential, the knowledge of it helps not only in finding the material properties of FGM’s produced but also for developing new materials with appreciated properties. The modeling of FGM is important in the study of cylinders, pressure vessels, spheres, plates and disks (Abdalla et al , 2020; Madan et al , 2019c). A mismatch in experimental and theoretical results is owing to many reasons such as porosity, shrinkage, binding, geometrical factors (size, shape and orientation of fibers), environmental conditions and human error (Verma et al , 2019).…”

Section: Introductionmentioning

confidence: 99%

Modeling of functionally graded materials to estimate effective thermo-mechanical properties

Madan

Bhowmick

2021

WJE

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Purpose Functionally graded materials are a special class of composites in which material are graded either continuously or layered wise depending upon its applications. With such variations of materials, the properties of structure vary either lengthwise or thickness wise. This paper aims to investigate models for effective estimation of material properties, as it is necessary for industries to identify the properties of composites or functionally graded materials (FGM’s) before manufacturing and also to develop novel material combinations. Design/methodology/approach Available models were compared for different material combinations and tested with experimental data for properties such as Young’s modulus, density, coefficient of thermal expansion (CTE) and thermal conductivity. Combinations of metal–ceramic and metal–metal were selected such that their ratios cover a wide range of materials. Findings This study reveals different models will be required depending on the material used and properties to be identified. Practical implications The results of the present work will help researchers in the effective modeling of composites or FGM’s for any analysis. Originality/value This paper presents a comparison and review of various analytical methods with experimental data graphically to find out the best suitable method. For the first time, the Halpin-Tsai model was extended in the analysis of the CTE which shows good approximations.

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“…26–28 Changes in material properties due to temperature have not been considered in any study from the first reference to this point. On the other hand, stress analysis of disks 29,30 and cylinders 31 with temperature dependent properties are available, albeit rare in the literature. Further to the mentioned investigations, there are interesting studies that take into account magneto thermo-mechanical responses 32–35 and elastic-plastic stresses of fgm circular components.…”

Section: Introductionmentioning

confidence: 99%

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

Farukoğlu

Korkut

2021

The Journal of Strain Analysis for Engineering Design

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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.

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Limit angular speed of L-FGM rotating disk for both temperature dependent and temperature independent mechanical properties

Cited by 15 publications

References 12 publications

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

A numerical solution to thermo‐mechanical behavior of temperature dependent rotating functionally graded annulus disks

Modeling of functionally graded materials to estimate effective thermo-mechanical properties

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

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