## What is/are Porous Fg?

Porous Fg - In addition, it is displayed that corresponding to different maximum deflections, the significance of the strain gradient size effect in the absence of nonlocality on the nonlinear flexural stiffness of a porous FGM microplate is more than that of the nonlocal size effect in the absence of the strain gradient size dependency.^{[1]}After computing the deflection relations, a systematic study is performed for the bending response of nanoporous FGMs in a hygro-thermal surrounding environment, with promising results for practical applications.

^{[2]}It is portrayed that for a higher value of the material gradient index, the role of surface stress type of size dependency in the thermal postbuckling of porous FGM nanoplates becomes more important.

^{[3]}Due to lack of investigations on buckling analysis of porous FGM structures and notably for spherical cap shells, we provide new buckling results for porous FGM structures with evenly and unevenly porosity distributions.

^{[4]}The current model is efficient in many applications used porous FGM, such as aerospace, nuclear, power plane sheller, and marine structures.

^{[5]}Hematoxylin and eosin staining exhibited thick and mature trabecular bone around the porous FGS in the 30% porosity FGS group, whereas thinner, more immature trabecular bone was seen around the porous FGS in the 60% porosity FGS group.

^{[6]}Results revealed that buckling and free vibration behavior of the porous FG-GPL beam are influenced by the GPLs grading pattern and the type of axially varying load.

^{[7]}The validity of the method is verified in solving the free vibration and buckling problems of the porous FGM rectangular plates with compression on four sides.

^{[8]}In the numerical examples, influences of the aggregation effect of CNTs, coupled effect of temperature and moisture, material property (graded index and porosity parameters), geometric parameters as well as the rotating conditions to the hygrothermal mechanical responses of the porous FG-CRC annular plate are studied in detail.

^{[9]}Finally, an extensive parametric study is conducted to examine the effects of the external electric potential, the nonlocal parameter, the volume fraction of nano-voids, the temperature rise on the vibration of porous FGPM cylindrical nanoshells.

^{[10]}Numerical results obtained for buckling and free vibration for porous FGM plate resting on the foundation.

^{[11]}By contrast, von Mises stress at the proximal medial cortical bone increased by about 21 % for porous titanium and porous FGM as compared to non-porous titanium and FGM stem implants.

^{[12]}In the numerical examples, influences of material property (FG index and porosity parameters), geometric structure (inner-outer thickness ratio and its change index) as well as external conditions (temperature and moisture boundary conditions) to the multi-field responses of the porous FGMEE annular plate are studied in detail.

^{[13]}

## shear deformation theory

In order to capture the small size effects, the Eringen's nonlocal elasticity based on higher order shear deformation theory (HSDT) are used to model the porous FG nanoplates.^{[1]}Using the Hamilton's principle, the governing equations of the porous FG nanoplates using the higher order shear deformation theory are derived.

^{[2]}To reveal these effects, the thermal-mechanical coupling buckling issue of a clamped-clamped porous FGM sandwich beam is investigated in this paper by employing the high-order sinusoidal shear deformation theory.

^{[3]}

## modified power law

Material properties of porous FG nanoplate are defined by a modified power-law function, and two types of distribution for porosity are used.^{[1]}The material properties of the porous FGM pipe are assumed to vary continuously and smoothly along the radial direction based on the modified power-law distribution.

^{[2]}

## order shear deformation

In the present paper, the wave propagation analysis of porous FG plates with clamped ends in thermal environments based on first order shear deformation theory are presented.^{[1]}

## porous fg nanoplate

Material properties of porous FG nanoplate are defined by a modified power-law function, and two types of distribution for porosity are used.^{[1]}An analytical approach for simply-supported and clamped bilayer porous FG nanoplates is implemented.

^{[2]}In order to capture the small size effects, the Eringen's nonlocal elasticity based on higher order shear deformation theory (HSDT) are used to model the porous FG nanoplates.

^{[3]}Using the Hamilton's principle, the governing equations of the porous FG nanoplates using the higher order shear deformation theory are derived.

^{[4]}Modified power-law function is developed to show the effective material properties of the porous FG nanoplate that change uniformly from one surface to another.

^{[5]}ABSTRACTA quasi-3D refined plate theory is presented with the nonlocal strain gradient theory to investigate the wave propagation in bi-layer porous FG nanoplates surrounded by an elastic medium.

^{[6]}

## porous fg plate

In the present paper, the wave propagation analysis of porous FG plates with clamped ends in thermal environments based on first order shear deformation theory are presented.^{[1]}The effect of the porosity parameter, the power-law exponent, side-thickness ratio, and aspect ratio on the static and buckling responses of the porous FG plate is evaluated.

^{[2]}Material properties of porous FG plate are defined by rule of the mixture with an additional term of porosity in the through-thickness direction.

^{[3]}The equilibrium equations according to the porous FG plates are derived.

^{[4]}An analytical solution approach is utilized to get the natural frequencies of embedded porous FG plate with FG-CNTRC core subjected to magneto-electrical field.

^{[5]}

## porous fg nanobeam

Hygro-thermal buckling of the porous FG nanobeam incorporating the surface effect is investigated.^{[1]}Based on the results of this study, a porous FG nanobeam has higher thermal buckling resistance and natural frequencies compared to a perfect FG nanobeam.

^{[2]}Once the validity of presented methodology is proved, a set of parametric studies are adopted to emphasize the role of each variant on the wave dispersion behaviors of porous FG nanobeams.

^{[3]}Navier's solution as well as Bolotin's approach are utilized to obtain the dynamic instability region of viscoelastic porous FG nanobeam.

^{[4]}

## porous fg beam

Furthermore, the Artificial Neural Networks (ANNs) technique is used to predict the effects of porosity distributions, porosity coefficient, slenderness ratio and boundary conditions on natural frequency variations of porous FG beam.^{[1]}For the analytical solution, Navier method is used to solve the governing equations for simply supported porous FG beams.

^{[2]}Mechanical properties of porous FG beams are supposed to vary through the thickness direction and are modeled via the modified power-law.

^{[3]}