Article
Engineering, Aerospace
Nguyen Thi Phuong, Dang Thuy Dong, Cao Van Doan, Vu Hoai Nam
Summary: This paper analytically examines the nonlinear postbuckling analysis of functionally graded graphene reinforced composite plates considering the nonlinear effect of an elastic foundation under external pressure and axial compression load in a thermal environment. The study applies the higher-order shear deformation plate theory and Galerkin's method to obtain explicit expressions for critical buckling loads and postbuckling load-deflection curves. The numerical results demonstrate the influences of nonlinear elastic foundation, temperature, laminated stiffeners, material, and geometrical features on the nonlinear responses of the plates.
AEROSPACE SCIENCE AND TECHNOLOGY
(2022)
Article
Mechanics
Vu Hoai Nam, Dang Thuy Dong, Cao Van Doan, Nguyen Thi Phuong
Summary: This paper presents a new improved smeared stiffener technique for higher-order shear deformable anisotropic stiffeners. The thermo-electro-mechanical nonlinear buckling response of functionally graded graphene reinforcement composite laminated plates is analyzed, and numerical investigations confirm the significant influences of various factors on the buckling behavior.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2022)
Article
Mechanics
Samir Emam, Walter Lacarbonara
Summary: This paper presents exact solutions for the buckling loads and postbuckling states of extensible, shear deformable beams. The dependence of the buckling load on the length-to-radius of gyration is discussed, as well as the significant effects of extensibility and shear deformation on the buckling loads and the postbuckling response.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2021)
Article
Engineering, Civil
Maciej Taczala, Ryszard Buczkowski, Michal Kleiber
Summary: This paper investigates the elastic-plastic analysis of plates using displacement-based plate theories within the framework of the finite element method. It compares the results with solid elements and demonstrates the applicability of the general third-order plate theory in elastic-plastic analysis of thin and thick plates.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2021)
Article
Materials Science, Characterization & Testing
Le Thi Nhu Trang, Hoang Van Tung
Summary: This study investigates the buckling and postbuckling behavior of carbon nanotube-reinforced thick composite plates on elastic foundations subjected to thermomechanical loads. The effects of different factors on the nonlinear thermomechanical stability of these plates are analyzed.
POLYMERS & POLYMER COMPOSITES
(2021)
Article
Mechanics
Le Thi Nhu Trang, Hoang Van Tung
Summary: This article analyzes the postbuckling behavior of carbon nanotube reinforced composite panels under uniform temperature rise, which is of considerable importance in engineering practice, especially in aerospace structures. The study reveals that curvature of panel, tangential constraints of edges, and initial geometrical imperfection can lead to changes in the buckling response. Numerical analyses also indicate different influences on the postbuckling behavior of thermally loaded nanocomposite panels.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Engineering, Mechanical
Yousef Gholami, Reza Ansari, Raheb Gholami, Fatemeh Sadeghi
Summary: This paper develops a size-dependent nanoplate model to describe the free vibration and buckling behaviors of magneto-electro-thermo-elastic (METE) rectangular nanoplates. The model considers external electric voltage, external magnetic potential, and uniform temperature rise. The model has the advantages of not requiring a correction factor and being applicable to thick nanoplates. Numerical results show that the frequency and critical buckling load of nanoplates are mainly influenced by magneto-electro-mechanical loadings, while they are less affected by thermal loading.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2022)
Article
Materials Science, Multidisciplinary
Bo Ma, Xianglei Wang, Shayan Mannani, Mohammad Arefi
Summary: This work investigates the electro-magneto-mechanical critical loads of a shear deformable cylindrical panel. A higher-order shear deformation model is used to derive kinematic relations, and the critical load equations are obtained using the virtual work's principle. The influence of various parameters on the critical loads is discussed through a large parametric analysis.
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES
(2022)
Article
Mechanics
Quoc-Hoa Pham, Phu-Cuong Nguyen, Trung Thanh Tran
Summary: The main goal of this study is to investigate the dynamic response of sandwich nanoplates with a porous functionally graded (PFG) core using isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT). The small-scale effect in nanostructures is taken into account by employing the nonlocal elasticity theory. The proposed method is validated by comparing the numerical results with published works, and some examples are conducted to examine the influence of parameters on the dynamic response of the sandwich nanoplates with the PFG core.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Wei Zheng
Summary: This work presents an analytical framework for analyzing a higher-order shear deformable sandwich cylindrical shell using a thickness-stretched model and piezomagnetoelasticity relations. The sandwich shell is subjected to multiple field loadings. The study derives the multifield equations using virtual work principle and provides comprehensive numerical results that show improved radial displacement using the thickness-stretched model.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Physics, Multidisciplinary
Mohammad Arefi, Gholamreza Ghasemian Talkhunche
Summary: This paper investigates the vibration responses of a cylindrical nano-shell using higher-order shear deformation theory and considering small scale effects. The results show that natural frequencies decrease with an increase in the in-homogeneous index and nonlocal parameter, while an increase in foundation parameters leads to an increase in natural frequencies.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
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
Mechanics
Mengzhen Li, Renjun Yan, Lin Xu, C. Guedes Soares
Summary: A novel unified framework of higher-order shear deformation theories for laminated and functionally graded plates is developed, aiming to unify existing theories and propose new models. By categorizing existing displacement fields and unifying different types of transverse displacements and shear strains, the study assesses and proposes new plate theories. Application of specific shear strain functions helps determine a new higher-order shear deformation theory that theoretically covers existing models and encourages further exploration of accurate plate theories.
COMPOSITE STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Reza Ansari, Emad Hasrati, Jalal Torabi
Summary: This study numerically investigates the vibration of higher order shear deformable carbon nanotube reinforced composite (CNTRC) spherical panels under initial external pressure. The functionally graded nanocomposite is reinforced with non-uniformly distributed carbon nanotubes. The study formulates the problem using the higher order shear deformation shell theory (HSDT) and a variational differential quadrature numerical approach. The main novel aspects of this research include the derivation of the variational formulation of nanocomposite spherical panels based on HSDT and the investigation of the effects of external pressure on vibration behavior. Several numerical examples are provided to examine the impact of geometrical and material factors on the vibration of pressurized functionally graded CNTRC spherical panels. The results show that internal pressure has the greatest influence on the vibrational behavior of thicker panels.
ENGINEERING WITH COMPUTERS
(2022)
Article
Engineering, Multidisciplinary
Z. Zou, T. J. R. Hughes, M. A. Scott, R. A. Sauer, E. J. Savitha
Summary: The proposed quadrature schemes show good performance in isogeometric shell analysis, with high accuracy and low computational cost. This method reduces storage and computational costs while alleviating membrane and shear locking issues in shells.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
