A novel porosity-dependent homogenization procedure for wave dispersion in nonlocal strain gradient inhomogeneous nanobeams

Ebrahimi, Farzad; Seyfi, Ali; Dabbagh, Ali

doi:10.1140/epjp/i2019-12547-8

Cited by 36 publications

(9 citation statements)

References 71 publications

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“…39,40 For example, a porosity-dependent homogenization scheme indicated that the distribution of pores significantly affected the wave propagation responses of functionally graded (FG) nano-beams. 41,42 It is also reported that the rise of the porosity coefficient can lower the natural frequency of the cylindrical shells. 43…”

Section: Resultsmentioning

confidence: 98%

The effects of alloying composition on plasticity and strength of notched metallic glasses

Jasim

ISMAILOV

Opulencia

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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Using notch geometry in the metallic glass (MG) samples, it is possible to improve the homogeneous plasticity and mechanical properties. In this work, the molecular dynamics (MD) simulation was performed to indicate how the alloying composition of MGs can tune the mechanical properties of notched samples. For this purpose, CuZr MGs were constructed through atomic-scale simulation with alloying compositions of Cu64Zr36, Cu60Zr40, Cu54Zr46, and Cu50Zr50, while a symmetrical surface notch was produced at the waistline of samples by removing certain atoms and relaxing the new free surfaces. The tensile loading was also carried out to characterize the plastic deformation and strength in the CuZr MGs. According to the results, Cu64Zr36 and Cu60Zr40 alloys exhibited a localized plastic deformation in the notch region, while the decrease in Cu content, i.e. Cu54Zr46, led to the generation of nanoscale shear events outside the notch region and extended the deformation area in the body of the sample. The results also indicated that the change in the mechanism of plastic deformation in the notched samples strongly depended on the type and population of polyhedrons rearranged in the backbone structure. Moreover, it was found that the Voronoi volume in the Cu54Zr46 alloy exhibited a gentle increment under the tensile loading in both the notched and un-notched regions, while the Cu-rich MGs, i.e. Cu64Zr36 and Cu60Zr40, showed a sudden increment of Voronoi volume at the center of the notch region, which was indicative of strain localization in the atomic system.

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Section: Resultsmentioning

confidence: 98%

The effects of alloying composition on plasticity and strength of notched metallic glasses

Jasim

ISMAILOV

Opulencia

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…Therefore, Porosity-dependent homogenization techniques are necessary to predict the realistic behavior of such structures. In the literature, various homogenization techniques have been reported for the porosity effects [44][45][46]. The two often utilized frameworks for these techniques are the power law-based porosity model and the trigonometric functionbased model.…”

Section: Geometric Configuration and Effective Materials Properties O...mentioning

confidence: 99%

“…The plate's initial temperature is considered to be 𝑇 𝑖 . The temperature is uniformly raised to a final value 𝑇 𝑓 in which the plate is subjected to the presumed boundary conditions (46) buckles. The temperature change is Δ𝑇 = 𝑇 𝑓 − 𝑇 𝑖 .…”

Section: Uniform Temperature Risementioning

confidence: 99%

Thermo‐mechanical nonlinear stability analysis of geometrically imperfect functionally graded plates with microstructural defects using logarithmic structure kinematics: An unified expression

Rajput

Gupta

2022

Z Angew Math Mech

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In the present paper, thermo‐mechanical stability analysis of geometrically imperfect porous functionally graded plates (FGP) with geometric nonlinearity is presented. The equilibrium, stability, and compatibility equations are derived using Logarithmic structural kinematics in conjunction with the von‐Karman type of geometric nonlinearity. A logarithmic‐based shear‐strain function has been used for the first time for the buckling response of functionally graded material (FGM) plates. Generic imperfection function has been implemented to incorporate the various imperfection modes like sin‐type or global type in the formulation. The effective materials properties of the plates with porosity inclusion have been computed using modified power law. The plate is subjected to uniaxial and biaxial compression as well as combined compression and tension along with thermal loading. An exact expression for the critical buckling load and critical buckling thermal load of geometrically imperfect porous FGM plate for each loading case has been developed. After confirming the excellent accuracy of the current exact solutions, the effect of geometric imperfection, porosity inclusion, and geometric configurations on the nonlinear stability of the FGM plate have been discussed extensively. The results presented in this paper will be used as a benchmark for future research.

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“…15 Based on three-dimensional elasticity theory, Zhao, Choe 16 have conducted frequency analysis of porous thick rectangular plates composed of FGM under different boundary conditions. Propagation of elastic waves in imperfect FGM nanobeam and nanoplate on the basis of nonlocal strain gradient theory has been probed by Ebrahimi et al 17,18 In addition, Kim, Żur 19 have explored static and dynamic characteristics of porous FGM microplates based on the modified, couple stress theory. Zhu, Xu 20 have studied the nonlinear, free, and forced dynamic response of fluid-conveying FGM pipes embedded in nonlinear elastic substrates regarding porosity influence.…”

Section: Introductionmentioning

confidence: 99%

A new higher-order shear deformation theory for frequency analysis of functionally graded porous plates

Seyfi

Maleki

Chen

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The current investigation aims to account for the influence of porosity modeling while studying the dynamic response of functionally graded material (FGM) plates within the framework of a new, higher-order shear deformation theory for the first time. In the newly developed porosity modeling, the reciprocal effect of mass density and Young’s modulus is considered. Furthermore, silicon carbide in the ceramic phase and nickel in the metallic phase are selected as the constituent materials of the functionally graded plate. Based upon the new higher-order theory, the kinetic and kinematic relations are derived. This theory does not need any shear correction factor. The dynamic form of the principle of virtual work is employed to achieve governing equations of structure. Afterward, Galerkin’s method is implemented to solve obtained governing equations of porous, functionally graded plates. In order to verify the accuracy of the method, the obtained results were compared with the results reported in the literature, and good agreement was found. At last, the influences of some parameters such as porosity coefficient, length to thickness ratio, and aspect ratio of the porous, FGM plate on the dimensionless frequency are studied and the results are illustrated in detail.

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A novel porosity-dependent homogenization procedure for wave dispersion in nonlocal strain gradient inhomogeneous nanobeams

Cited by 36 publications

References 71 publications

The effects of alloying composition on plasticity and strength of notched metallic glasses

The effects of alloying composition on plasticity and strength of notched metallic glasses

Thermo‐mechanical nonlinear stability analysis of geometrically imperfect functionally graded plates with microstructural defects using logarithmic structure kinematics: An unified expression

A new higher-order shear deformation theory for frequency analysis of functionally graded porous plates

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