Structural analysis of size-dependent functionally graded doubly-curved panels with engineered microarchitectures

Geometrically nonlinear response of doubly curved panels reinforced by carbon nanotubes exposed to thermal environments and subjected to uniform external pressure are presented in this paper. Carbon nanotubes are reinforced into isotropic matrix through uniform and functionally graded distributions. Material properties of constituents are assumed to be temperature dependent, and effective elastic moduli of carbon nanotube-reinforced composite are determined according to an extended rule of mixture. Basic equations for carbon nanotube-reinforced composite doubly curved panels are established within the framework of first-order shear deformation theory. Analytical solutions are assumed, and Galerkin method is used to derive closed-form expressions of nonlinear load–deflection relation. Separate and combined effects of carbon nanotube distribution and volume fraction, elasticity of in-plane constraint, elevated temperature, initial imperfection, geometrical ratios and stiffness of elastic foundations on the nonlinear stability of nanocomposite doubly curved panels are analyzed through numerical examples.

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Large-Amplitude Vibration of Functionally Graded Doubly-Curved Panels Under Heat Conduction

AIAA Journal ◽

10.2514/1.j055878 ◽

2017 ◽

Vol 55 (12) ◽

pp. 4376-4386 ◽

Cited By ~ 10

Author(s):

Vishesh Ranjan Kar ◽

Subrata Kumar Panda

Keyword(s):

Heat Conduction ◽

Large Amplitude ◽

Functionally Graded ◽

Amplitude Vibration ◽

Large Amplitude Vibration ◽

Doubly Curved ◽

Curved Panels

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Vibration behavior of the functionally graded porous (FGP) doubly-curved panels and shells of revolution by using a semi-analytical method

Composites Part B Engineering ◽

10.1016/j.compositesb.2018.08.087 ◽

2019 ◽

Vol 157 ◽

pp. 219-238 ◽

Cited By ~ 38

Author(s):

Jing Zhao ◽

Fei Xie ◽

Ailun Wang ◽

Cijun Shuai ◽

Jinyuan Tang ◽

...

Keyword(s):

Analytical Method ◽

Functionally Graded ◽

Shells Of Revolution ◽

Vibration Behavior ◽

Doubly Curved ◽

Curved Panels

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Free vibration of four-parameter functionally graded moderately thick doubly-curved panels and shells of revolution with general boundary conditions

Applied Mathematical Modelling ◽

10.1016/j.apm.2016.10.047 ◽

2017 ◽

Vol 42 ◽

pp. 705-734 ◽

Cited By ~ 42

Author(s):

Qingshan Wang ◽

Dongyan Shi ◽

Qian Liang ◽

Fuzhen Pang

Keyword(s):

Free Vibration ◽

Boundary Conditions ◽

Functionally Graded ◽

General Boundary ◽

General Boundary Conditions ◽

Shells Of Revolution ◽

Doubly Curved ◽

Curved Panels

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A semi-analytical method for vibration analysis of functionally graded carbon nanotube reinforced composite doubly-curved panels and shells of revolution

Composite Structures ◽

10.1016/j.compstruct.2017.04.038 ◽

2017 ◽

Vol 174 ◽

pp. 87-109 ◽

Cited By ~ 68

Author(s):

Qingshan Wang ◽

Bin Qin ◽

Dongyan Shi ◽

Qian Liang

Keyword(s):

Carbon Nanotube ◽

Analytical Method ◽

Vibration Analysis ◽

Functionally Graded ◽

Shells Of Revolution ◽

Reinforced Composite ◽

Doubly Curved ◽

Curved Panels

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A semi-analytical method for vibration analysis of functionally graded (FG) sandwich doubly-curved panels and shells of revolution

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2017.10.036 ◽

2017 ◽

Vol 134 ◽

pp. 479-499 ◽

Cited By ~ 59

Author(s):

Qingshan Wang ◽

Xiaohui Cui ◽

Bin Qin ◽

Qian Liang ◽

Jinyuan Tang

Keyword(s):

Analytical Method ◽

Vibration Analysis ◽

Functionally Graded ◽

Shells Of Revolution ◽

Doubly Curved ◽

Curved Panels

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On size-dependent bending behaviors of shape memory alloy microbeams via nonlocal strain gradient theory

Journal of Intelligent Material Systems and Structures ◽

10.1177/1045389x20986993 ◽

2021 ◽

pp. 1045389X2098699

Author(s):

Bo Zhou ◽

Zetian Kang ◽

Xiao Ma ◽

Shifeng Xue

Keyword(s):

Shape Memory Alloy ◽

Shape Memory ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Size Dependent ◽

Material Length Scale Parameter ◽

Material Length Scale ◽

Material Length ◽

Nonlocal Strain Gradient

This paper focuses on the size-dependent behaviors of functionally graded shape memory alloy (FG-SMA) microbeams based on the Bernoulli-Euler beam theory. It is taken into consideration that material properties, such as austenitic elastic modulus, martensitic elastic modulus and critical transformation stresses vary continuously along the longitudinal direction. According to the simplified linear shape memory alloy (SMA) constitutive equations and nonlocal strain gradient theory, the mechanical model was established via the principle of virtual work. Employing the Galerkin method, the governing differential equations were numerically solved. The functionally graded effect, nonlocal effect and size effect of the mechanical behaviors of the FG-SMA microbeam were numerically simulated and discussed. Results indicate that the mechanical behaviors of FG-SMA microbeams are distinctly size-dependent only when the ratio of material length scale parameter to the microbeam height is small enough. Both the increments of material nonlocal parameter and ratio of material length-scale parameter to the microbeam height all make the FG-SMA microbeam become softer. However, the stiffness increases with the increment of FG parameter. The FG parameter plays an important role in controlling the transverse deformation of the FG-SMA microbeam. This work can provide a theoretical basis for the design and application of FG-SMA microstructures.

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