Article
Engineering, Mechanical
Mitao Song, Lei Zhou, Warna Karunasena, Jie Yang, Sritawat Kitipornchai
Summary: This study investigates the nonlinear dynamic instability of edge-cracked functionally graded graphene nanoplatelet-reinforced composite beams. Micromechanics models are used to estimate the effective material properties, and nonlinear dynamics theory and numerical methods are applied for analysis.
NONLINEAR DYNAMICS
(2022)
Article
Mechanics
Cong Ich Le, Ngoc Anh T. Le, Dinh Kien Nguyen
Summary: This study presents an efficient beam element model for free vibration and buckling analysis of bidirectional functionally graded sandwich beams. By analyzing the natural frequencies and buckling loads of beams under different boundary conditions, the effects of material distribution and layer thickness on vibration and buckling characteristics are investigated.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Civil
Tuan H. A. Nguyen, Jarkko Niiranen
Summary: This article introduces an effective computational approach that incorporates a quasi-brittle damage model into the isogeometric analysis of plates made of functionally graded materials. The use of a coupling nonlocal equivalent strain field on the plate neutral surface controls softening behavior, enabling the use of a single damage parameter over each plate cross-section. The discretization of the problem domain is based on basis functions generated from non-uniform rational B-splines (NURBS), allowing accurate resolution of local features such as fracture damage zones.
THIN-WALLED STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Youn-Sha Chan, Edward Athaide
Summary: This study investigates the constitutive equations for functionally graded materials (FGMs) under the strain gradient elasticity theory (SGET). The interaction between material gradation and the nonlocal effect of the strain gradient leads to more complex and intricate constitutive equations. The governing partial differential equations (PDEs) derived from the balance law of linear momentum also appear to be highly complicated. Assuming the material gradation is exponential, a simpler set of governing PDEs can be obtained. Solutions to these PDEs are discussed for different modes of crack problems.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Mechanics
M. M. Keleshteri, J. Jelovica
Summary: This study investigates the nonlinear free and forced vibration behavior of functionally graded porous beams considering high-order bidirectional porosity distributions. The results show that the proposed porosity distributions are more effective than the conventional ones, and beams with more voids at the center have the lowest amplitude of vibration.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Civil
Pham Van Vinh, Abdelouahed Tounsi
Summary: This paper investigates the free vibration of functionally graded doubly curved nanoshells using nonlocal first order shear deformation theory, and the frequencies are obtained via Navier's solution technique. The effects of various parameters on the vibration response are also studied.
THIN-WALLED STRUCTURES
(2022)
Article
Mathematics
Bekir Akgoz, Omer Civalek
Summary: This study analyzes the buckling problem of nonhomogeneous microbeams with a variable cross-section. The influences of size effect, changes in the cross-section and Young's modulus, size dependency, and non-classical boundary conditions on buckling loads are examined.
Article
Acoustics
Piyush P. Singh, Mohammad S. Azam
Summary: This study investigates the free vibration and buckling behaviors of a functionally graded nanoplate using a nonlocal classical plate theory, showing that the nonlocal effect is more pronounced for higher modes and/or higher aspect ratios. The Pasternak foundation has a significant influence on the nondimensionalized frequencies and buckling of the functionally graded nanoplate.
JOURNAL OF VIBRATION AND CONTROL
(2021)
Article
Engineering, Multidisciplinary
Wachirawit Songsuwan, Nuttawit Wattanasakulpong, Sachin Kumar
Summary: The study examined the nonlinear transient response of sandwich beams with functionally graded porous core under the action of moving load. Reddy's third-order shear deformation theory and von K & PRIME;arm & PRIME;an assumption were used to construct the governing equation system, which was solved by the Gram-Schmidt-Ritz method. The results showed that sandwich beams with functionally graded porous distribution outperformed those with uniform porous distribution in terms of strength and stiffness, and the porous coefficient played a crucial role in changing the loading resistance.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Mechanics
Buntoeng Srikarun, Wachirawit Songsuwan, Nuttawit Wattanasakulpong
Summary: This study investigates the linear and nonlinear bending behaviors of sandwich beams with functionally graded cores under various distributed loads. The formulation used is based on Reddy's theory and von Karman's nonlinear strain-displacement relations. Numerically stable functions for displacement fields are generated using the Gram-Schmidt orthogonalization procedure, and linear and nonlinear bending results are found using the Ritz method and iterative technique. The accuracy of the solutions is validated, and new results based on different factors like porosity coefficient and loading types are presented for future studies.
COMPOSITE STRUCTURES
(2021)
Article
Materials Science, Multidisciplinary
Somi Naidu Balireddy, Jeyaraj Pitchaimani
Summary: The current study focuses on the static stability and dynamic characteristics of bi-directional functionally graded beams under variable axial loads. The Ritz method and Reddy's beam theory are used to analyze the beams. The results show that changing the material properties from isotropic to bi-directional functionally graded leads to remarkable variations in both buckling and vibration responses. Additionally, increasing the material gradation index along the thickness direction improves the stiffness of the beams compared to lengthwise gradation index increment.
MATERIALS TODAY COMMUNICATIONS
(2022)
Article
Mechanics
Mehmet Avcar, Lazreg Hadji, Omer Civalek
Summary: This study aims to analyze the natural frequencies of sigmoid functionally graded sandwich beams using high-order shear deformation theory. Three diverse sandwich layup schemes were constructed, and the effects of various factors on the non-dimensional natural frequencies were discussed. The efficiency of the theory was demonstrated by comparing results with open literature and considering different material properties, layup schemes, and geometrical characteristics.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Mechanical
Sairam Pamulaparthi Venkata, Valentina Balbi, Michel Destrade, Dino Accoto, Giuseppe Zurlo
Summary: Materials with negative Poisson's ratio, known as auxetic materials, have unique properties of expansion in all directions under uni-axial tension. These materials have a wide range of applications in various fields. This study focuses on the wrinkling behavior of thin and soft auxetic membranes under edge tractions. The research reveals the non-trivial wrinkling patterns that can occur and disappear as the applied tractions increase, and proposes a mathematical method to model the wrinkling using tension field theory.
EXTREME MECHANICS LETTERS
(2023)
Article
Construction & Building Technology
Mirza S. Beg, Hasan M. Khalid, Mohd Y. Yasin, L. Hadji
Summary: This study presents an exact solution for functionally graded porous curved beams with deep curvature based on refined third-order theory, using Mori-Tanaka homogenization scheme for effective properties and six-point Gauss integration scheme for numerical calculation. The effects of 1 + ??????/?????? terms on deflection, stresses, and natural frequencies are studied for comparison with future research.
STEEL AND COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Amin Ghorbani Shenas, Sima Ziaee, Parviz Malekzadeh
Summary: This study presents a comprehensive investigation of the size-dependent nonlinear thermal deformations of rotating trapezoidal functionally graded microplates, using the modified strain gradient theory and a four-variable refined plate theory. The temperature dependence of material properties significantly influences the results, which should be considered for accurate results.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Yin Fan, Y. Xiang, Hui-Shen Shen, D. Hui
COMPOSITES PART B-ENGINEERING
(2018)
Article
Engineering, Multidisciplinary
Hui-Shen Shen, Y. Xiang, Yin Fan, D. Hui
COMPOSITES PART B-ENGINEERING
(2018)
Article
Engineering, Multidisciplinary
Hui-Shen Shen, Y. Xian, Yin Fan, D. Hui
COMPOSITES PART B-ENGINEERING
(2018)
Article
Materials Science, Multidisciplinary
F. Lin, C. Yang, Q. H. Zeng, Y. Xiang
COMPUTATIONAL MATERIALS SCIENCE
(2018)
Article
Engineering, Multidisciplinary
Hui-Shen Shen, Y. Xiang
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2018)
Article
Engineering, Mechanical
Yin Fan, Y. Xiang, Hui-Shen Shen, Hai Wang
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2018)
Article
Engineering, Mechanical
Hui-Shen Shen, Y. Xiang, Yin Fan
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2018)
Article
Mechanics
Jie Su, Liao-Liang Ke, Sami El-Borgi, Yang Xiang, Yue-Sheng Wang
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2018)
Article
Engineering, Civil
Hui-Shen Shen, Y. Xiang
THIN-WALLED STRUCTURES
(2018)
Article
Mechanics
Yin Fan, Y. Xiang, Hui-Shen Shen
COMPOSITE STRUCTURES
(2019)
Article
Mechanics
Lin-Feng Zhu, Liao-Liang Ke, Xin-Qun Zhu, Yang Xiang, Yue-Sheng Wang
COMPOSITE STRUCTURES
(2019)
Article
Mechanics
Hui-Shen Shen, Y. Xiang, J. N. Reddy
COMPOSITE STRUCTURES
(2019)
Article
Engineering, Civil
Hui-Shen Shen, Y. Xiang
THIN-WALLED STRUCTURES
(2019)
Proceedings Paper
Physics, Applied
Raju Majji, Yang Xiang, Scott Ding, Chunhui Yang
PROCEEDINGS OF 21ST INTERNATIONAL ESAFORM CONFERENCE ON MATERIAL FORMING (ESAFORM 2018)
(2018)
Article
Engineering, Multidisciplinary
Hui-Shen Shen, Y. Xiang, Feng Lin
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2017)
Article
Engineering, Multidisciplinary
A. A. Aganin, A. I. Davletshin
Summary: A mathematical model of interaction of weakly non-spherical gas bubbles in liquid is proposed in this paper. The model equations are more accurate and compact compared to existing analogs. Five problems are considered for validation, and the results show good agreement with experimental data and numerical solutions. The model is also used to analyze the behavior of bubbles in different clusters, providing meaningful insights.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Hao Wu, Jie Sun, Wen Peng, Lei Jin, Dianhua Zhang
Summary: This study establishes an analytical model for the coupling of temperature, deformation, and residual stress to explore the mechanism of residual stress formation in hot-rolled strip and how to control it. The accuracy of the model is verified by comparing it with a finite element model, and a method to calculate the critical exit crown ratio to maintain strip flatness is proposed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Shengwen Tu, Naoki Morita, Tsutomu Fukui, Kazuki Shibanuma
Summary: This study aimed to extend the finite element method to cope with elastic-plastic problems by introducing the s-version FEM. The s-version FEM, which overlays a set of local mesh with fine element size on the conventional FE mesh, simplifies domain discretisation and provides accurate numerical predictions. Previous applications of the s-version FEM were limited to elastic problems, lacking instructions for stress update in plasticity. This study presents detailed instructions and formulations for addressing plasticity problems with the s-version FEM and analyzes a stress concentration problem with linear/nonlinear material properties.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bo Fan, Zhongmin Wang
Summary: A 3D rotating hyperelastic composite REF model was proposed to analyze the influence of tread structure and rotating angular speed on the vibration characteristics of radial tire. Nonlinear dynamic differential equations and modal equations were established to study the effects of internal pressure, tread pressure sharing ratio, belt structure, and rotating angular speed on the vibration characteristics.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
X. W. Chen, Z. Q. Yue, Wendal Victor Yue
Summary: This paper examines the axisymmetric problem of a flat mixed-mode annular crack near and parallel to an arbitrarily graded interface in functionally graded materials (FGMs). The crack is modeled as plane circular dislocation loop and an efficient solution for dislocation in FGMs is used to calculate the stress field at the crack plane. The analytical solutions of the stress intensity factors are obtained and numerical study is conducted to investigate the fracture mechanics of annular crack in FGMs.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xumin Guo, Jianfei Gu, Hui Li, Kaihua Sun, Xin Wang, Bingjie Zhang, Rangwei Zhang, Dongwu Gao, Junzhe Lin, Bo Wang, Zhong Luo, Wei Sun, Hui Ma
Summary: In this study, a novel approach combining the transfer matrix method and lumped parameter method is proposed to analyze the vibration response of aero-engine pipelines under base harmonic and random excitations. The characteristics of the pipelines are investigated through simulation and experiments, validating the effectiveness of the proposed method.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Xiangyu Sha, Aizhong Lu, Ning Zhang
Summary: This paper investigates the stress and displacement of a layered soil with a fractional-order viscoelastic model under time-varying loads. The correctness of the solutions is validated using numerical methods and comparison with existing literature. The research findings are of significant importance for exploring soil behavior and its engineering applications under time-varying loads.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Thuy Dong Dang, Thi Kieu My Do, Minh Duc Vu, Ngoc Ly Le, Tho Hung Vu, Hoai Nam Vu
Summary: This paper investigates the nonlinear torsional buckling of corrugated core sandwich toroidal shell segments with functionally graded graphene-reinforced composite (FG-GRC) laminated coatings in temperature change using the Ritz energy method. The results show the significant beneficial effects of FG-GRC laminated coatings and corrugated core on the nonlinear buckling responses of structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Zhihao Zhai, Chengbiao Cai, Qinglai Zhang, Shengyang Zhu
Summary: This paper investigates the effect of localized cracks induced by environmental factors on the dynamic performance and service life of ballastless track in high-speed railways. A mathematical approach for forced vibrations of Mindlin plates with a side crack is derived and implemented into a train-track coupled dynamic system. The accuracy of this approach is verified by comparing with simulation and experimental results, and the dynamic behavior of the side crack under different conditions is analyzed.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
James Vidler, Andrei Kotousov, Ching-Tai Ng
Summary: The far-field methodology, developed by J.C. Maxwell, is utilized to estimate the effective third order elastic constants of composite media containing random distribution of spherical particles. The results agree with previous studies and can be applied to homogenization problems in other fields.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Kim Q. Tran, Tien-Dat Hoang, Jaehong Lee, H. Nguyen-Xuan
Summary: This study presents novel frameworks for graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates and investigates their performance through static and free vibration analyses. The results show that the mass density framework has potential for comparing different porous cores and provides a low weight and high stiffness-to-weight ratio. Primitive plates exhibit superior performance among thick plates.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Bence Hauck, Andras Szekrenyes
Summary: This study explores several methods for computing the J-integral in laminated composite plate structures with delamination. It introduces two special types of plate finite elements and a numerical algorithm. The study presents compact formulations for calculating the J-integral and applies matrix multiplication to take advantage of plate transition elements. The models and algorithms are applied to case studies and compared with analytical and previously used finite element solutions.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Wu Ce Xing, Jiaxing Wang, Yan Qing Wang
Summary: This paper proposes an effective mathematical model for bolted flange joints to study their vibration characteristics. By modeling the flange and bolted joints, governing equations are derived. Experimental studies confirm that the model can accurately predict the vibration characteristics of multiple-plate structures.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Pingchao Yu, Li Hou, Ke Jiang, Zihan Jiang, Xuanjun Tao
Summary: This paper investigates the imbalance problem in rotating machinery and finds that mass imbalance can induce lateral-torsional coupling vibration. By developing a model and conducting detailed analysis, it is discovered that mass imbalance leads to nonlinear time-varying characteristics and there is no steady-state torsional vibration in small unbalanced rotors. Under largely unbalanced conditions, both resonant and unstable behavior can be observed, and increasing lateral damping can suppress instability and reduce lateral amplitude in the resonance region.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Yong Cao, Ziwen Guo, Yilin Qu
Summary: This paper investigates the mechanically induced electric potential and charge redistribution in a piezoelectric semiconductor cylindrical shell. The results show that doping levels can affect the electric potentials and mechanical displacements, and alter the peak position of the zeroth-order electric potential. The doping level also has an inhibiting effect on the first natural frequency. These findings are crucial for optimizing the design and performance of cylindrical shell-shaped sensors and energy harvesters.
APPLIED MATHEMATICAL MODELLING
(2024)
