Influence of porosity distribution on free vibration and buckling analysis of multi-directional functionally graded sandwich plates

Sah, Supen Kumar; Ghosh, Anup

doi:10.1016/j.compstruct.2021.114795

Cited by 42 publications

(5 citation statements)

References 20 publications

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“…The reason behind this phenomenon is the activation of damage micro mechanisms by high temperature testing, which combine with fatigue damage to dramatically reduce fatigue life. As shown in Figures (11)(12)(13), increasing the temperature results in an increased damage ratio and cyclic ratio, which accelerates fracture acceleration. It was observed in Table 5 that cycles to failure were not only affected by temperature, but also by load sequences, e.g.…”

Section: Fatigue Results (Experimental and Numerical)mentioning

confidence: 96%

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Mathematical Model of Properties and Experimental Fatigue Investigation at Elevated Temperatures of Functionally Gradient Materials

Al-hadrayi

Al-Khazraji

Shandookh³

2023

ETJ

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 Manufacturing of functionally graded materials by the permanent casting method was studied.  Installing and equipping a fatigue tester with a thermal chamber was employed.  Fatigue analysis for functionally gradient materials was conducted using ANSYS at elevated temperatures.Fatigue that occurs at elevated temperatures is called thermal fatigue. High temperatures and cycling loads cause thermal fatigue that can cause component failures. In this paper, induced the mathematical models for functionally gradient materials and three models of functionally gradient materials (FGMs) manufactured by permanent casting were tested to predict their thermal fatigue life. FGMs have been tested to determine the effect of fatigue and temperature interactions. FGMs models were of FGM1, FGM2, and FGM3 respectively, with the following volume fractions and gradations: [100%Al-50%Al50%Zn-50%Zn50%Al-100%Zn], [100%Al-30%Zn70%Al-70%Zn30%Al-100%Zn] and [100%Al-70%Zn30%Al-30%Zn70%Al-100%Zn]. The experimental procedure presented the mechanical properties as modulus of elasticity at two levels of temperatures (80 o C, and 160 o C).Through the results of the tensile test at high temperatures, it was noted that the reduction percentage was high in the second type. This was especially for the yield strength value, where the percentage reached 43% at 160 °C. In the second type, the ultimate strength was affected more at 160 °C: the decrease percentage reached 33%, and the elastic modulus at the same temperature fell by 32%. The third type is the least affected at high temperatures, as the percentage of properties decrease at 160 °C reached 16, 17, and 16% for modulus of elasticity, ultimate strength, and yield strength, respectively. Fatigue strength is the most significant among the mechanical properties, where the highest value of the fatigue limit for the third type was experimentally 149.68 MPa. While the lowest value of fatigue strength was the second type, and at the same time, on the contrary, it was less affected at high temperatures, with a rate of 8%, which reached the decrease. The simulation results from the ANSYS program regarding fatigue at high temperatures were acceptable and gave reasonable variation ratios and were very close to the experimental results.

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Section: Fatigue Results (Experimental and Numerical)mentioning

confidence: 96%

“…The ability to determine the transport of materials at various spatial levels is a crucial feature of the FG structure. Specialized composite materials known as FGMs are composed of several constituent stages that are provided according to established guidelines [11].…”

Section: Mathematical Models Formulation For Fgmsmentioning

confidence: 99%

Mathematical Model of Properties and Experimental Fatigue Investigation at Elevated Temperatures of Functionally Gradient Materials

Al-hadrayi

Al-Khazraji

Shandookh³

2023

ETJ

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“…Zafarmand and Kadkhodayan (2015) and Adineh and Kadkhodayan (2017) provided the 3D elastic solution for the static and dynamic behaviour of the BDFGM thick plates and skew plates under mechanical loading. Sah and Ghosh (2021c) presented an analytical solution for buckling and free vibration of imperfect BDFGM sandwich plates. The bending response of BDFGM plates and beams has been investigated considering higher-order plate theories under mechanical loading (Pendhari et al ., 2017; Van Do et al ., 2017; Li et al ., 2018b; Truong et al ., 2019; Hong, 2020).…”

Section: Introductionmentioning

confidence: 99%

Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Sah,

Ghosh

2024

IJSI

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PurposeThe purpose of this study is to investigate the bending analysis of metal (Ti-6Al-4V)-ceramic (ZrO2) functionally graded material (FGM) sandwich plate with material property gradation along length and thickness direction under thermo-mechanical loading using inverse trigonometric shear deformation theory (ITSDT). FGM sandwich plate with a ceramic core and continuous variation of material properties has been modelled using Voigt’s micro-mechanical model following the power law distribution method. The impact of bi-directional gradation of material properties over the bending response of FGM plate under thermo-mechanical loading has been investigated in this work.Design/methodology/approachIn this study, gradation of material properties for FGM plates is considered along length and thickness directions using Voigt’s micromechanical model following the power law distribution method. This type of FGM is called bi-directional FGMs (BDFGM). Mechanical and thermal properties of BDFGM sandwich plates are considered temperature-dependent in the present study. ITSDT is a non-polynomial shear deformation theory which requires a smaller number of field variables for modelling of displacement function in comparison to poly-nominal shear deformation theories which lead to a reduction in the complexity of the problem. In the present study, ITSDT has been utilized to obtain the governing equations for thermo-mechanical bending of simply supported uni-directional FGM (UDFGM) and BDFGM sandwich plates. Analytical solution for bending analysis of rectangular UDFGM and BDFGM sandwich plates has been carried out using Hamilton’s principle.FindingsThe bending response of the BDFGM sandwich plate under thermo-mechanical loading has been analysed and discussed. The present study shows that centre deflection, normal stress and shear stress are significantly influenced by temperature-dependent material properties, bi-directional gradation exponents along length and thickness directions, geometrical parameters, sandwich plate layer thickness, etc. The present investigation also reveals that bi-directional FGM sandwich plates can be designed to obtain thermo-mechanical bending response with an appropriate selection of gradation exponents along length and thickness direction. Non-dimensional centre deflection of BDFGM sandwich plates decreases with increasing gradation exponents in length and thickness directions. However, the non-dimensional centre deflection of BDFGM sandwich plates increases with increasing temperature differences.Originality/valueFor the first time, the FGM sandwich plate with the bi-directional gradation of material properties has been considered to investigate the bending response under thermo-mechanical loading. In the literature, various polynomial shear deformation theories like first-order shear deformation theory (FSDT), third-order shear deformation theory (TSDT) and higher-order shear deformation theory (HSDT) have been utilized to obtain the governing equation for bending response under thermo-mechanical loading; however, non-polynomial shear deformation theory like ITSDT has been used for the first time to obtain the governing equation to investigate the bending response of BDFGM. The impact of bi-directional gradation and temperature-dependent material properties over centre deflection, normal stress and shear stress has been analysed and discussed.

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“…Nguyen et al [25] investigated the nonlinear static behaviors of sandwich plates on an elastic foundation, taking into account the temperature dependency of the FGM material. The investigation of the dynamic behavior of multi-directional porous sandwich plates consisting of two functionally graded face sheets and a homogeneous core was studied by Kumar and Ghosh [26] using Navier's solution technique.…”

Section: Introductionmentioning

confidence: 99%

Analytical Thermal Analysis of Radially Functionally Graded Circular Plates with Coating or Undercoating under Transverse and Radial Temperature Distributions

Chung

Lin

2023

Applied Sciences

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This study aims to provide analytical solutions for circular plates coated or undercoated with functionally graded materials (FGMs) having Young’s modulus functionality through the radius. The circular plates are subjected to thermal loads in radial and thickness directions. Because of the uncoupled stretching–bending problem of the radially FGM circular plate, the bending equilibrium equations in terms of displacements of the FGM-coated or -undercoated circular plates with Young’s modulus based on the power–law function were established individually. General solutions for the homogeneous portion or FGM ring of the radially FGM-coated or -undercoated circular plate were developed separately. Subsequently, analytical thermal solutions for the radially FGM-coated or -undercoated circular plate were evaluated by solving the simultaneous boundary and continuity conditions equations. The analytical results were validated by comparing them with finite element solutions. When degenerated, they coincided with those of the homogeneous circular plate in the literature, enhancing the obtained solutions’ reliability. These analytical solutions provide valuable insights into the plates’ responses and expand the understanding of their mechanical behaviors under thermal loads. Furthermore, the effects of the FGM thickness, the material index, and the thermal loading conditions on the mechanical behaviors were under investigation. This parameter study offers valuable perspectives into the influence of these factors on the plate’s structural response and aids in the optimization and design of FGM-coated or -undercoated circular plates.

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Influence of porosity distribution on free vibration and buckling analysis of multi-directional functionally graded sandwich plates

Cited by 42 publications

References 20 publications

Mathematical Model of Properties and Experimental Fatigue Investigation at Elevated Temperatures of Functionally Gradient Materials

Mathematical Model of Properties and Experimental Fatigue Investigation at Elevated Temperatures of Functionally Gradient Materials

Effect of bi-directional material gradation on thermo-mechanical bending response of metal-ceramic FGM sandwich plates using inverse trigonometric shear deformation theory

Analytical Thermal Analysis of Radially Functionally Graded Circular Plates with Coating or Undercoating under Transverse and Radial Temperature Distributions

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