Article
Engineering, Mechanical
K. Avramov, D. Myrzaliyev, B. Uspensky, N. Sakhno, K. K. Seitkazenova
Summary: The study examines the static buckling of a functionally graded carbon nanotubes reinforced composite joined spherical-cylindrical-spherical thin-walled structure under axial and lateral distributed loads. The Ritz method and higher-order shear deformation theory are utilized to analyze the structure, exploring the influences of CNTs distributions and volume fractions on the buckling axial load.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2021)
Article
Polymer Science
Jin-Rae Cho, Young-Ju Ahn
Summary: This paper numerically investigates the mechanical behavior of a functionally graded carbon nanotube-reinforced composite plate. The displacement is approximated using a hierarchical model and 2-D meshfree natural element method, and the effective elastic properties are determined by referring to MD simulation and the linear rule of mixtures. The study examines the effects of CNT volume fraction and distribution, plate geometry, and boundary conditions on the bending, vibration, and buckling behaviors of FG-CNTRC plates. The results highlight the significant dependence of the mechanical behavior on these parameters.
Article
Mechanics
Seyed Sajad Mirjavadi, Masoud Forsat, Mohammad Reza Barati, A. M. S. Hamouda
Summary: This study investigates the nonlinear free vibrations of porous functionally graded annular spherical shell segments and highlights the factors affecting the vibration characteristics.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Chemistry, Physical
Dongdong Li, He Zhu, Xiaojing Gong
Summary: This paper presents an analytical solution for the thermomechanical buckling of functionally graded material sandwich plates. The results show the influence of various parameters on the response of the sandwich plates. The relationship between mechanical load and temperature increment under different conditions for FGM sandwich plates is studied.
Article
Mechanics
Byoung Koo Lee, Joon Kyu Lee
Summary: This article investigates the large deflection stability of axially functionally graded cantilever columns and analyzes their post-buckling behavior. The study shows that the shape of the column and the material parameters have a significant impact on the elastica and buckling load.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Chemistry, Multidisciplinary
Feixiang Tang, Fang Dong, Yuzheng Guo, Shaonan Shi, Jize Jiang, Sheng Liu
Summary: This study investigates the buckling and post-buckling problems of size-dependent functionally graded material thin plates using the framework of the Modified Couple Stress Theory. By considering the power-law distribution with scale effects, the post-buckling deflection and critical buckling load of the plates are derived. It is found that the power-law index parameters have a significant influence on the critical buckling displacement, load, and strain energy, while the scale effect parameter has a greater impact. Additionally, the results show that the scale effects increase material stiffness and that the power-law index parameters affect FGM properties.
Article
Mechanics
Lu Wei, Hai Qing
Summary: The modified couple stress theory is applied to analyze the static bending, elastic buckling, and free vibration behaviors of circular/annular micmplates made of bi-directionally functionally graded materials. The numerical results show the effects of material length scale parameter, FG material indices, and inner-to-outer radius ratio on the bending deflection, buckling loads, and free vibration frequency.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Shengbo Zhu, Zhenzhen Tong, Jiabin Sun, Qingdong Li, Zhenhuan Zhou, Xinsheng Xu
Summary: The study conducted a nonlinear post-buckling analysis of piezoelectric functionally graded cylindrical shells, revealing that thick shells usually exhibit symmetric modes while ultra-thin shells only show asymmetric modes. It was also found that the impact of power law index is highly dependent on external electro-thermal loadings.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Engineering, Multidisciplinary
Joon Kyu Lee, Byoung Koo Lee
Summary: This article investigates the buckling optimization of axially functionally graded columns, comparing computed buckling loads with those from literature and finite element analysis. Numerical examples highlight the effects of parameters on buckling load and mode shape, and analyze geometry and material parameters for buckling optimization at a constant volume of the column.
ENGINEERING OPTIMIZATION
(2022)
Article
Engineering, Ocean
Zhenkui Wang, C. Guedes Soares
Summary: This study examines the upheaval thermal buckling of functionally graded subsea pipelines under thermal loadings, taking into account the temperature-dependent material properties distributed through the cross-section. The analytical solution derived evaluates the thermal post-buckling response and numerical results show the significant influence of the temperature-dependent material property on the upheaval thermal buckling behavior. Additionally, the use of functionally graded subsea pipelines leads to a reduction in both the minimum critical temperature and maximum stress.
APPLIED OCEAN RESEARCH
(2021)
Article
Mechanics
Bonthu Dileep, Rohith Prakash, H. S. Bharath, P. Jeyaraj, Mrityunjay Doddamani
Summary: Functionally graded closed cell foams reinforced with hollow glass microballoons were 3D printed and evaluated for mechanical buckling and free vibration response. FGF-2 showed higher buckling strength and better natural frequency performance compared to other FGFs. Experimental results were validated with finite element simulation results.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Alireza Babaee, Jasmin Jelovica
Summary: This paper analyzes the large amplitude thermally induced vibration (TIV) of annular and circular plates under cooling shocks. It presents a novel comparison of the TIV response under rapid cooling and heating shock loads. It is the first time that TIV study has been presented for any flexural structure under thermal cooling.
THIN-WALLED STRUCTURES
(2023)
Article
Engineering, Civil
H. N. Li, W. Wang, S. K. Lai, L. Q. Yao, C. Li
Summary: This paper investigates the nonlinear vibration and stability analysis of rotating functionally graded (FG) piezoelectric nanobeams using the nonlocal strain gradient theory. The study derives nonlinear equations of motion and discretizes them to determine the vibration frequencies and buckling loads of the nanobeams. The results show that increasing the nonlocal parameter and material length parameter can result in a stiffness-hardening effect, and incorporating the effect of geometric nonlinearity is crucial for accurate analysis.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Materials Science, Multidisciplinary
M. Haboussi, A. Sankar, M. Ganapathi
Summary: This study focuses on the axisymmetric dynamic snap-through buckling of graphene platelets (GPLs) reinforced porous nanocomposite spherical caps under external pressure load. Material properties are determined using micromechanics model and rule of mixture, and a new three-noded axisymmetric shell element is proposed for solving the governing equations. Dynamic response analysis is conducted to evaluate critical buckling pressure, with comprehensive parametric study to understand the effect of different factors on the buckling behavior of spherical caps.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2021)
Article
Engineering, Civil
Jia-Jia Mao, Ying-Jie Wang, Jie Yang
Summary: The paper focuses on the static and dynamic instabilities of a functionally graded beam with multiple inclined cracks under the influence of an axial force. Finite element analysis is used to determine the bending and tensile stiffness of the cracked section and the coupled effect of loadings. Equations are derived to describe the instability of the beam and can be solved to obtain the natural frequency and buckling load. The study investigates the effects of crack position, inclination angle, length, elasticity modulus ratio, and load factors on the stability of the cracked functionally graded beam.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Mechanics
Hoai Nam Vu, Thi Phuong Nguyen, Si Lanh Ho, Minh Duc Vu, Van Doan Cao
Summary: This paper investigates the buckling behavior of functionally graded graphene-reinforced composite (FG-GRC) laminated cylindrical shells under axial compression, considering the uniform temperature change effect. A stiffener design option for the FG-GRC cylindrical shells is presented, and a suitable smeared stiffener technique for the GRC laminated stiffener system is developed. The effects of GRC laminated stiffeners, temperature, and graphene-reinforced parameters on the compressed buckling behavior are validated.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Materials Science, Composites
Thi Phuong Nguyen, Minh Duc Vu, Thuy Dong Dang, Van Doan Cao, Thanh Hieu Pham, Hoai Nam Vu
Summary: The buckling and nonlinear postbuckling analysis of toroidal shell segments with auxetic-core layer and Graphene-reinforced polymer coatings under torsional loads is investigated in this research. The study reveals the significant effects of honeycomb lattice auxetic core, functionally graded Graphene-reinforced polymer coatings, and shell's geometric and foundation parameters on the nonlinear buckling behaviors of shells.
ADVANCED COMPOSITE MATERIALS
(2023)
Article
Mechanics
Nguyen Thi Phuong, Cao Van Doan, Vu Minh Duc, Nguyen Thi Giang, Vu Hoai Nam
Summary: This research investigates the buckling and postbuckling behavior of thin toroidal shell segments composed of auxetic core and graphene-reinforced face sheets under radial loads, combining analytical solutions and new material designs. The study demonstrates the significantly positive effects of honeycomb auxetic core and graphene-reinforced face sheets on the nonlinear buckling responses of shells.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Materials Science, Multidisciplinary
Cao Van Doan, Vu Tho Hung, Nguyen Thi Phuong, Vu Hoai Nam
Summary: In this study, a new algorithm is introduced to investigate the nonlinear buckling behavior of stiffened functionally graded graphene-reinforced composite laminated (FG-GRCL) toroidal shell segments in a thermal environment surrounded by an elastic foundation and subjected to torsional load. The algorithm considers the effects of temperature, stiffener system, geometrical parameters, and elastic foundation, and determines the critical buckling load and postbuckling torsional load-deflection curves by incorporating the effect of circumferential stress.
INTERNATIONAL JOURNAL OF COMPUTATIONAL MATERIALS SCIENCE AND ENGINEERING
(2023)
Article
Engineering, Mechanical
Van Doan Cao, Hoai Nam Vu, Thi Phuong Nguyen
Summary: This paper proposes a new design for functionally graded graphene-reinforced composite laminated (FG-GRCL) toroidal shell segments in a thermal environment with a piezoelectric layer attached to the surface. The shells are reinforced by a FG-GRCL stringer and/or ring stiffener system. Nonlinear electro-thermo-torsional buckling and postbuckling behaviors of the shells are analyzed considering geometric nonlinearities described by von Karman and the classical Donnell thin shell theory. The effects of thermal load, graphene volume fraction and distribution type, piezoelectric layer, geometric parameters of the toroidal shell segments, and stiffeners on the torsional buckling load and postbuckling curves are investigated numerically.
JOURNAL OF ENGINEERING MECHANICS
(2023)
Article
Engineering, Civil
Do Thi Kieu My, Vu Minh Duc, Nguyen Huu Giang, Nguyen Thi Phuong, Vu Hoai Nam
Summary: The nonlinear buckling behaviors of sandwich functionally graded graphene reinforced composite (FG-GRC) laminated toroidal shell segments with corrugated core under lateral pressure in thermal environment are reported in this study. The significant effects of corrugated core and FG-GRC laminated face sheets on nonlinear buckling behaviors of shells are presented.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Physics, Multidisciplinary
Nguyen Thi Phuong, Dang Thuy Dong, Cao Van Doan, Vu Hoai Nam
Summary: This paper investigates the buckling and postbuckling response of functionally graded graphene reinforced composite laminated cylindrical panels with stiffeners, resting on nonlinear elastic foundation and subjected to axial compression load with uniformly distributed temperature variation. The distribution laws of graphene with five types are studied, and suitable GRCL stiffeners are used for each graphene distributed type of panel. The fundamental equations for buckling and postbuckling are derived based on Reddy's higher-order shear deformation shell theory, the relations between strain and displacement, and the Galerkin method. The theoretical novelty lies in the novel technique for homogenization of the GRC laminated panel and stiffeners. The numerical results confirm the significant influences of GRC stiffeners and discuss the effects of material properties, geometrical properties, nonlinear foundation, and temperature.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Mechanics
Ngoc Ly Le, Thi Ngoc Thu Duong, Thuy Dong Dang, Minh Duc Vu, Tien Tu Bui, Thi Phuong Nguyen, Hoai Nam Vu
Summary: This paper presents a novel analytical approach for studying the nonlinear thermo-mechanical buckling of higher-order shear deformable porous circular plates and spherical caps with functionally graded material face sheets on Pasternak elastic foundation. The total potential energy expression of structures is established and the Ritz energy method is used to solve the problem. The relationships between external pressure-deflection, thermal load-deflection, and thermo-mechanical combined load-deflection are obtained using iterative algorithms. Numerical investigations are performed to analyze the critical buckling loads and postbuckling behavior of plates/caps, as well as the effects of foundation, porosity, and structure parameters on the thermo-mechanical responses.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2023)
Article
Engineering, Marine
Thi Phuong Nguyen, Thuy Dong Dang, Tien Tu Bui, Minh Duc Vu, Khuong Le-Nguyen, Thanh Hieu Pham, Hoai Nam Vu
Summary: An analytical approach is established for analyzing the nonlinear thermo-mechanical buckling of functionally graded graphene platelet reinforced composite circular plates and shallow spherical shells. The approach uses the higher-order shear deformation theory and the nonlinearities of von Karman. The study investigates the postbuckling response and critical buckling load of the structures by applying the Ritz energy method. The numerical results explore the special effects of different medium stiffnesses, material parameters, and geometrical dimensions on the nonlinear thermo-mechanical behavior of the plates and shells.
SHIPS AND OFFSHORE STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Hoai Nam Vu, Thi Kieu My Do, Minh Duc Vu, Tho Hung Vu, Thanh Hieu Pham, Thi Phuong Nguyen
Summary: This paper presents the design of a torsion-loaded toroidal shell segment with two functionally graded carbon nanotube-reinforced composite coatings (FG-CNTRC) and a corrugated core. Both round and trapezoidal shapes of the corrugated core are considered. A homogenization model is applied to predict the stiffness of the corrugated core, and the total potential energy equation according to the Donnell shell theory is established. The Ritz energy method is used to determine the expressions of buckling and postbuckling responses. Numerical investigations demonstrate the significant beneficial effects of FG-CNTRC coatings and the corrugated core on the buckling responses of the shells.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Engineering, Civil
Vu Hoai Nam, Tran Quang Minh, Pham Thanh Hieu, Vu Tho Hung, Bui Tien Tu, Nguyen Thi Thanh Hoai, Dang Thuy Dong
Summary: This study introduces the problem of nonlinear postbuckling of reinforced circular plates and shallow spherical caps under external pressure and thermal loads based on the Donnell shell theory and geometric nonlinearities. Numerical investigations are conducted to analyze the influences of various factors, including material distributions, geometric parameters, and foundation characteristics, on the behavior of the reinforced structures.
THIN-WALLED STRUCTURES
(2023)
