Wave propagation characteristics in nanoporous metal foam nanobeams

Wang, Yan Qing; Liang, Chen

doi:10.1016/j.rinp.2018.11.080

Cited by 36 publications

(6 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Owing to non-uniform nanoporosity distribution, mass densities ρ ( z ), Young’s modulus E ( z ), and shear modulus μ ( z ) of the nanoshell are functions of position and can be written as [ 69 , 70 , 71 , 72 , 73 , 74 ]:…”

Section: Fg Npmf Circular Cylindrical Nanoshellsmentioning

confidence: 99%

Vibration and Buckling of Shear Deformable Functionally Graded Nanoporous Metal Foam Nanoshells

Zhang

2019

Nanomaterials

View full text Add to dashboard Cite

This article aims to investigate free vibration and buckling of functionally graded (FG) nanoporous metal foam (NPMF) nanoshells. The first-order shear deformation (FSD) shell theory is adopted and the theoretical model is formulated by using Mindlin’s most general strain gradient theory, which can derive several well-known simplified models. The symmetric and unsymmetric nanoporosity distributions are considered for the structural composition. Hamilton’s principle is employed to deduce the governing equations as well as the boundary conditions. Then, via the Navier solution technique, an analytical solution for the free vibration and buckling of FG NPMF nanoshells is presented. Afterwards, a detailed parametric analysis is conducted to highlight the effects of the nanoporosity coefficient, nanoporosity distribution, length scale parameter, and geometrical parameters on the mechanical behaviors of FG NPMF nanoshells.

show abstract

Section: Fg Npmf Circular Cylindrical Nanoshellsmentioning

confidence: 99%

Vibration and Buckling of Shear Deformable Functionally Graded Nanoporous Metal Foam Nanoshells

Zhang

2019

Nanomaterials

View full text Add to dashboard Cite

show abstract

“…In this study, three types of porosity distributions are considered [13]. In these distributions, the porosity changes the material properties along the beam thickness.…”

Section: Nano-porous Beamsmentioning

confidence: 99%

“…1a, the material properties of the uniform porosity distribution are constants but are not equal to the conventional non-porous material. Therefore, the coefficients and 1 can be defined as [13,43] (1a) For asymmetric nano-porosity distribution ( Fig. 1c):…”

Section: Nano-porous Beamsmentioning

confidence: 99%

“…Also, E 0 and l 0 are, respectively, the minimum values of Young's modulus and the material length scale parameter, and E 1 and l 1 denote the maximum values of Young's modulus and the material length scale parameter, respectively. The relations between different material properties can be expressed as a function of the relative mass density [5,13]. According to type of the study, the following relations are defined.…”

Section: Nano-porous Beamsmentioning

confidence: 99%

“…Even and uneven porosity distributions have been employed to study the different behaviors of porous structures [6][7][8][9][10] as two porosity patterns. Symmetric, asymmetric and uniform porosity distributions along the thickness are other types of the porosity distributions which have been taken into account to model the metal foams [11][12][13][14]. Also, the effects of pore size and pore shape were studied in tissue engineering and biomechanics [15,16].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of nano-porosity on postbuckling of non-uniform microbeams

Khorshidi

2019

SN Appl. Sci.

View full text Add to dashboard Cite

This study is accomplished to investigate the effect of different types of porosity distribution on the static postbuckling response of non-uniform microbeams under the simply supported boundary conditions. The modified couple stress theory is used to capture the size effect in microscales, and the von-Karman strain-displacement relation is employed to describe the nonlinearity effect. The relative elasticity characteristics, e.g., Young's modulus and the material length scale parameter, are considered as a function of relative mass density. The nonlinear governing equations for Euler-Bernoulli porous microbeams with non-uniform cross section are derived by a variational energy method and solved using a closed-form solution. The critical buckling load and the static postbuckling response of porous non-uniform microbeams, non-porous non-uniform microbeams and porous uniform microbeams are compared with together. Therefore, effects of nano-porosity and non-uniformity on the postbuckling behavior of the microbeam are investigated.

show abstract

Wave Propagation Speed Analysis in Polyurethane Foams

Mikulich

2022

Lecture Notes in Mechanical Engineering

View full text Add to dashboard Cite

Wave propagation characteristics in nanoporous metal foam nanobeams

Cited by 36 publications

References 50 publications

Vibration and Buckling of Shear Deformable Functionally Graded Nanoporous Metal Foam Nanoshells

Vibration and Buckling of Shear Deformable Functionally Graded Nanoporous Metal Foam Nanoshells

Effect of nano-porosity on postbuckling of non-uniform microbeams

Wave Propagation Speed Analysis in Polyurethane Foams

Contact Info

Product

Resources

About