General solution of stress field in exponential functionally graded material plates containing a quasi-rectangular cutout

Jafari, Mohammad; Chaleshtari, Mohammad Hossein Bayati; Abdolalian, Hamid

doi:10.1177/0021998318785950

Cited by 8 publications

(5 citation statements)

References 18 publications

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“…A brief review of the DQ method and it's applying to unknown displacements with enough details is presented by the first author in Behravan Rad. 22,30 By considering this technique, the dimensionless forms of equations ( 17) to (20) at sample points can be expressed as follows:…”

Section: Implementation Of Dq Methodsmentioning

confidence: 99%

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Thermoporoelasticity analysis of variable thickness and elastically restrained functionally graded auxetic metamaterial circular plate resting on an auxetic material circular plate

Behravanrad

Jafari

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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The main purpose of this research is to investigate the thermoporoelastic behavior of non-homogeneous circular plate made up of auxetic metamaterial rested on an auxetic material plate. The plate is non-uniform, restrained with flexible support at outer edge and subjected to structure-structure interaction and thermo-mechanical load. The plate material is graded in transverse direction and the Poisson's ratio is constant. Based on the linear thermoporoelasticity theory, the governing state equations in terms of displacements and temperature are acquired. At first, the one-dimensional heat equation including quadratic type heat source is solved to compute the nonlinear distribution of temperature across the thickness. Then, the state equations are solved semi-analytically using state-space (SS) method and differential quadrature (DQ) rule to predict the elastic field quantities. A comprehensive parametric discussion is accomplished to elucidate the effects of key parameters on the steady-state response of the plate to mechanical and thermal loads. The computed results indicate that the auxeticity of the structure and supporting medium, as well as the thermal environment, play a significant role in the thermoporoelastic behavior of the plate.

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Section: Implementation Of Dq Methodsmentioning

confidence: 99%

“…To estimate the useful life of basic engineering structures, many research efforts have conducted to obtain the stress field on perforated plates. In this regard, Jafari et al [19][20][21] demonstrated the stress field in plates with various hole/cut out geometry and boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Thermoporoelasticity analysis of variable thickness and elastically restrained functionally graded auxetic metamaterial circular plate resting on an auxetic material circular plate

Behravanrad

Jafari

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…He had analyzed the stress moments and resultants in infinite FG plates having a rectangular cutout subjected to uniaxial tensile loading and its results were compared with the numerical results obtained from ABAQUS. [29][30][31].…”

Section: Infinite Plate With a Holementioning

confidence: 99%

Effect of various discontinuities present in a plate on stress concentration: a review

Patel

2022

Eng. Res. Express

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The stress concentration factor is one of the most significant factors in design engineering in the modern era with lots of objectives across the world. Stress concentration is the localization of high stresses primarily due to discontinuities within the time, abrupt changes in cross-section, and contact with stresses. This paper focuses on a problem with different discontinuities as specially holes present in a plate like isotropic, anisotropic and orthotropic etc. The different methods used by various authors to evaluate stress concentration with different related parameters, and describe the study related to the results carried out by them. Finite plate with polygonal, circular, inclined circular, and elliptical types holes has been considered one of the most important design applications in the present era. In the present work, the analysis and reviews are based on the following (a) types of discontinuities, (b) types of loading, (c) material/Composites/Plies (d) orientation of discontinuities in a finite plate. Finally, the scope of this research work is incorporated.

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“…The elemental equations are expressed using Hamilton's Principle [11] and the global equations are written finally as…”

Section: End Condition Atmentioning

confidence: 99%

“…Abolghasemi et al [10] presented buckling analysis of FG plates having elliptical cutouts showing existence of cutouts increasing mechanical and thermal load. Jafari et al [11] analyzed FG plates with rectangular cutouts for general stress field and observed that aspect ratio significantly affected the stress field.…”

Section: Introductionmentioning

confidence: 99%

Influence of cut-out shape on the dynamic behavior of carbon nanotubes reinforced functionally graded plates

Kumar

Sarangi

2022

Eng. Res. Express

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This research investigates the effects of cut-out on the dynamic behaviour of functionally graded carbon nanotube reinforced composite (FGCNTRC) plates. Finite element method (FEM) is utilized and SHELL181 type element of the ANSYS Workbench 17.2 program is utilized. To understand the vibration characteristics of the FG plates, various shapes of cut-outs such as triangular, square, rectangular, hexagonal, circular etc. are considered. For comparison, solid FGCNTRC plate is modeled and natural frequencies of plates integrated with cut-outs of different shapes are determined using free vibration study. The mode superposition method is used to address the harmonic response analysis problem keeping the damping ratio constant. The stress, phase changes and displacement responses for definite frequency ranges have been used to interpret the findings. To learn more about the effects of cut-outs on the dynamic response, the plates are designed considering various grading patterns. The findings show that the shape of cut-outs significantly affects the harmonic responses as well as the fundamental frequency of the FG plates and are also depending on the grading patterns of these plates.

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General solution of stress field in exponential functionally graded material plates containing a quasi-rectangular cutout

Cited by 8 publications

References 18 publications

Thermoporoelasticity analysis of variable thickness and elastically restrained functionally graded auxetic metamaterial circular plate resting on an auxetic material circular plate

Thermoporoelasticity analysis of variable thickness and elastically restrained functionally graded auxetic metamaterial circular plate resting on an auxetic material circular plate

Effect of various discontinuities present in a plate on stress concentration: a review

Influence of cut-out shape on the dynamic behavior of carbon nanotubes reinforced functionally graded plates

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