Article
Computer Science, Interdisciplinary Applications
Mahsa Najafi, Isa Ahmadi
Summary: In this paper, an efficient method based on nonlocal elasticity theory and Layerwise theory is proposed for the analysis of bending, buckling, and vibration of functionally graded nanobeam. The method takes into account the transverse shear and normal strains of nanobeam and the small-scale effect. The proposed theory is validated by comparing with other theories and shows accurate results in predicting vibration, buckling, and bending of nanobeams.
ENGINEERING WITH COMPUTERS
(2023)
Article
Engineering, Multidisciplinary
Rosa Penna
Summary: This paper investigates the bending response of Bernoulli-Euler nanobeams made of a functionally graded material with different cross-sectional shapes. A stress-driven model incorporating surface energy effects is used. The nanobeam consists of a bulk volume and a surface layer perfectly adhered to the bulk continuum. The nonlocal governing equations of the elastostatic bending problem are derived and the main results of a parametric investigation are presented.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Engineering, Mechanical
Ismail Esen, Alaa A. Abdelrahman, Mohamed A. Eltaher
Summary: In this study, a size-dependent symmetric and sigmoid functionally graded Timoshenko beam model based on nonlocal strain gradient theory is developed to analyze free vibration and dynamic response under moving loads. By employing the Hamilton principle and Navier's approach, an analytical solution methodology is developed. The results show that variables such as material gradation index can significantly affect the dynamic behavior of functionally graded nanobeams, which can be adjusted for control. The obtained results support the design and control of such structural components.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2021)
Article
Mathematics, Applied
Pham Toan Thang, T. Nguyen-Thoi, Jaehong Lee
Summary: The main goal of this research paper is to model and analyze bidirectional functionally graded nanobeams using the Timoshenko beam theory and nonlocal strain gradient theory. The study focuses on understanding mechanical behavior, calculating important parameters, and formulating equilibrium and stability equations for a detailed investigation. Specific examples are presented to verify the proposed solution, and the influences of material properties and nonlocal parameter on critical buckling load and transverse deflection are examined.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Engineering, Civil
Yanming Ren, Hai Qing
Summary: This paper applies the general strain- and stress-driven two-phase local/nonlocal integral piezoelectric models to analyze the elastic buckling and free vibration of functionally graded piezoelectric Euler-Bernoulli beams. The differential governing equations and standard boundary conditions are derived, and the general strain and general nonlocal stresses are expressed as integral equations and transformed to differential forms. Nominal variables are introduced to simplify the equations and the general differential quadrature method is used to obtain numerical results. The results show consistent size-dependent responses.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2022)
Article
Mechanics
S. Ali Faghidian, Krzysztof Kamil Zur, J. N. Reddy, A. J. M. Ferreira
Summary: In this study, the dispersion characteristics of flexural waves in functionally graded porous nanobeams were analyzed using higher-order nonlocal gradient elasticity theory. The results reveal that the size-dependent response of the symmetric FG porous nanobeam and the closed-form solution of the phase velocity can be effectively utilized in the design and optimization of composite nano-structural elements.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Shuo Wang, Wenbin Kang, Weidong Yang, Zhen Zhang, Qian Li, Menglong Liu, Xi Wang
Summary: This study investigates the buckling behavior of porous bi-directional functionally graded Timoshenko nanobeams under hygrothermal environment using numerical methods. By employing the local/nonlocal strain gradient theory, the factors influencing the critical buckling load are studied. The numerical results demonstrate that the presented model accurately captures the buckling response of the nanobeams under different boundary conditions and modes.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Materials Science, Multidisciplinary
Pei Zhang, Hai Qing
Summary: In this paper, size-dependent buckling analysis for slightly curved sandwich microbeams made of functionally graded materials was conducted using a stress-driven nonlocal model. The Fredholm integral constitutive equations were transformed into the Volterra type of the first kind and solved analytically using Laplace transformation and its inversion under different boundary conditions. The exact solutions were validated against existing results. The study investigated the effects of the nonlocal parameter, thickness ratio of core-to-skin layers, FG power-law index, and length-height ratio on the buckling loads and the ratio of predicted results by two common beam theories.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
R. Barretta, S. Ali Faghidian, F. Marotti de Sciarra, F. P. Pinnola
Summary: In the study of carbon nanotubes (CNTs), a nonlocal strain gradient approach was used to model CNTs and predict their reduced Young elastic modulus, which was validated through molecular dynamics simulations.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2021)
Article
Mechanics
Mohamed-Ouejdi Belarbi, Mohammed-Sid-Ahmed Houari, Ahmed Amine Daikh, Aman Garg, Tarek Merzouki, H. D. Chalak, Hicham Hirane
Summary: An efficient nonlocal finite element model was developed to study the bending and buckling behavior of functionally graded nanobeams. The new theory provides accurate transverse shear stress distribution without the need for correction factors, showing high accuracy and convergence rate. Detailed numerical studies validated the performance and reliability of the proposed model.
COMPOSITE STRUCTURES
(2021)
Article
Mechanics
Weihua Fang, Huifeng Hu, Tiantang Yu, Tinh Quoc Bui
Summary: This paper presents numerical investigations on static bending and free vibration behaviors of spatially curved functionally graded microbeams using isogeometric analysis. Material properties change continuously along the thickness direction and small scale effects are captured using the modified couple stress theory. The study shows the effects of factors such as material gradient, length scale, and boundary conditions on the mechanical behaviors of spatially curved FG Timoshenko microbeams.
COMPOSITE STRUCTURES
(2022)
Article
Mathematics
Doaa Atta, Ahmed E. Abouelregal, Fahad Alsharari
Summary: The small size and clever design of nanoparticles lead to enhanced properties. This research investigates the vibration of a nanobeam under time-varying heat flow and proposes a nonlocal modified thermoelasticity theory to improve its strength.
Article
Mechanics
Kalyan Boyina, Raghu Piska, Sundararajan Natarajan
Summary: A nonlocal strain gradient model is developed for the buckling analysis of functionally graded Euler-Bernoulli beam subjected to thermo-mechanical loads. The governing equations incorporate the effects of nonlocal and strain gradient parameters. Thermal properties over the cross section are graded using the power law. The proposed model compares well with the existing literature in the limiting sense of no nonlocal and gradient effects.
Article
Engineering, Multidisciplinary
Isa Ahmadi
Summary: In this study, a novel formulation based on the meshless method was developed to study the dynamic behavior of 2D functionally graded nanobeams. The predictions of the presented solution were validated with good agreements through comparison with available results in literature, and the effects of various parameters on the normalized natural frequencies of 1D and 2D-FG nanobeams were investigated.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Mechanical
Hao-nan Li, Cheng Li, Ji-ping Shen, Lin-quan Yao
Summary: This study investigates the vibration characteristics of a rotating functionally graded piezoelectric nanobeam using nonlocal elasticity theory and Timoshenko beam model. Various parameters such as rotational velocity, nonlocal parameter, functional gradient index, and external voltage are examined for their effects on vibration characteristics. Results show that these parameters significantly affect the natural frequencies and modal shapes of nanobeams.
JOURNAL OF VIBRATION ENGINEERING & TECHNOLOGIES
(2021)
Article
Mechanics
Hai Qing, Yuxiao Cai
Summary: This study investigates the nonlinear post-buckling behavior of a nanobeam under different boundary conditions using strain- and stress-driven two-phase local/nonlocal integral models. The study takes into account Von Karman nonlinearity and derives the nonlinear governing equations through the principle of minimum potential energy. Numerical solutions are obtained for linear and nonlinear buckling forces and buckling mode shapes.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mechanics
Pei-Liang Bian, Hai Qing, Tiantang Yu
Summary: A new finite element method framework is developed in this paper to analyze the mechanical responses of nanobeams made of axially functionally-graded material (FGM) under different boundary conditions, with the introduction of size effects. A series of numerical examples demonstrate the flexibility of this framework in handling complex distribution patterns, boundary conditions, and loads.
COMPOSITE STRUCTURES
(2022)
Article
Computer Science, Interdisciplinary Applications
Pei-Liang Bian, Hai Qing
Summary: In this study, a new FEM framework was developed to simulate the mechanical responses of the Euler-Bernoulli beam with a two-phase local/nonlocal mixed model. The model showed efficient convergence, simplicity of expressions, and flexibility in handling various boundary conditions and external loads.
ENGINEERING WITH COMPUTERS
(2023)
Article
Acoustics
Pei Zhang, Peter Schiavone, Hai Qing
Summary: This paper presents predictive models for the free vibration of Euler-Bernoulli beams subjected to a uniformly thermal environment using the two-phase local/nonlocal mixture theory. The effects of temperature, size, and vibration mode on the beams are considered.
JOURNAL OF SOUND AND VIBRATION
(2022)
Article
Thermodynamics
Pei Zhang, Peter Schiavone, Hai Qing
Summary: In this article, predictive models for the buckling loads of Bernoulli-Euler nanobeams under uniform thermal environment are introduced based on strain-/stress-driven local/nonlocal mixture theories. The constitutive equation is expressed in the form of local/nonlocal mixture integrals with the bi-Helmholtz kernel. The temperature effect is considered as a thermal load induced by thermal expansion and boundary constraint, and the local/nonlocal mixture effects on the thermal load are taken into account. The integral governing equations derived using different local/nonlocal mixture models are solved using Laplace transform methods, and exact solutions for critical buckling loads are obtained. A series of numerical examples are provided to show the predictions of size-effects on beams with various boundary edges, as well as the influence of considering the size-dependent thermal loads.
JOURNAL OF THERMAL STRESSES
(2022)
Article
Materials Science, Multidisciplinary
Pei-Liang Bian, Hai Qing
Summary: A new phase-field based method is proposed to represent graphene reinforced composites and investigate their mechanical properties. The model is validated through comparison with a shell based finite element model, and it provides a simple way to model thin flakes reinforced composites in FEM software.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Pei Zhang, Peter Schiavone, Hai Qing
Summary: In this paper, the authors developed bi-Helmholtz averaging kernel-based nonlocal strain and stress gradient integral models to study the size dependent bending of functionally graded beams. They derived nonstandard constitutive boundary conditions and used Laplace transform technique for closed-form solutions. Numerical simulations showed that the proposed models were capable of describing the sizeeffects on bending deformation of beams with different boundary types by adjusting the relevant parameters.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Acoustics
HuiDiao Song, Hai Qing
Summary: In this study, two-phase local/nonlocal integral viscoelastic models (TPNIVM) are proposed to analyze the free thermo-damping vibration of functionally graded porous microbeams. The results show that environmental temperature variation, nonlocal parameters, and porous distribution parameters all have significant effects on the elastic vibration frequency and damping ratio.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Mathematics, Applied
Pei Zhang, P. Schiavone, Hai Qing
Summary: A nonlocal study of vibration responses of FG beams supported by a viscoelastic Winkler-Pasternak foundation is conducted, considering the damping responses of both the Winkler and Pasternak layers of the foundation. The bending deformation of the beams and the elastic and damping responses of the foundation are comprehensively considered by uniting differential formulations of strain-driven and stress-driven two-phase local/nonlocal integral models, addressing the stiffness softening and toughening effects. The GDQM is used to solve the complex eigenvalue problem, and benchmark results for vibration frequency are obtained.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
(2023)
Article
Mathematics, Applied
Yuan Tang, Hai Qing
Summary: In this study, strain-driven and stress-driven two-phase local/nonlocal integral models were used to investigate the size-dependent nonlinear post-buckling behaviors of functionally graded porous Timoshenko microbeams. The results showed that the nonlocal LBMS-based Ritz-Galerkin method and GDQM-based Newton-Raphson's method accurately predicted the linear and nonlinear post-buckling loads, while the local LBMS-based Ritz-Galerkin method failed to provide accurate predictions.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mechanics
Pei Zhang, Peter Schiavone, Hai Qing
Summary: This article presents a hygro-thermal-damping vibration analysis of two-variable shear deformation beams supported by a visco-Pasternak foundation. The effects of simultaneously applying stress-driven nonlocal assumptions on the foundation and hygro-thermal load in the undamped and damping vibration of the shear deformation beams are examined.
COMPOSITE STRUCTURES
(2023)
Article
Acoustics
Hai Qing
Summary: This paper proposes two-phase local/nonlocal integral models (TPNIM) to study the viscoelastic nonlinear forced vibration behaviors of microbeams in a thermal environment. The effects of various factors on the nonlinear vibration behavior of the microbeams are investigated numerically.
JOURNAL OF VIBRATION AND CONTROL
(2023)
Article
Materials Science, Multidisciplinary
Pei Zhang, Hai Qing
Summary: In this study, fracture of nanobeams with central cracks was investigated using the nonlocal stress gradient integral model (NSGIM) with added integral terms and constitutive continuity conditions. Numerical simulations were performed to analyze the effects of nonlocal and gradient length scale parameters on normalized energy release rates and external load works.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2023)
Article
Mechanics
Rawan Aqel, Patrick Severson, Rani Elhajjar
Summary: A novel core splice joint configuration for composite sandwich structures is studied and proposed to improve the strength and toughness. Experimental and numerical efforts show that this configuration can significantly increase the ultimate strength by 13% to 51% and the toughness by 2% to 35%.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Xianheng Wang, Cong Chen, Jinsong Zhang, Xinming Qiu
Summary: In this paper, a new form-finding method based on spatial elastica model (FMSE) is proposed for elastic gridshells. The method integrates the deformations of elastic rods into the overall deformation of the gridshell, and solves a set of transcendental equations using the quasi-Newton method to ensure the deformation satisfies the given boundary conditions. The method is validated through experiments and expected to have potential applications in the investigations of elastic gridshells.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Hao Huang, Zitong Guo, Zhongde Shan, Zheng Sun, Jianhua Liu, Dong Wang, Wang Wang, Jiale Liu, Chenchen Tan
Summary: The conventional evaluation of 3D braided composites' mechanical properties through numerical and experimental methodologies hinders material application due to the expenses, time constraints, and laborious efforts involved. This study establishes a multi-scale finite element model and a surrogate model for predicting the elastic properties of 3D4D rotary braided composites with voids. By optimizing a neural network model, the results are validated and provide valuable insights into the microstructure and properties of these composites.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Xinyu Li, Hao Zhang, Haiyang Yang, Junrong Luo, Zhongmin Xiao, Hongshuai Lei
Summary: Due to their excellent mechanical properties and design flexibility, fluted-core composite sandwich structures have gained significant attention in aerospace and rail transit applications. This study investigated the free-vibration characteristics and optimized design of composite fluted-core sandwich cylinders through theoretical models and experimental tests.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Chao Li, Chunzheng Duan, Xiaodong Tian, Chao Wang
Summary: A mechanistic model considering the bottom edge cutting effect and the anisotropic characteristics of the material is proposed in this paper to accurately predict cutting forces. The model was validated through a series of milling experiments and can be used to predict the cutting force of various parts of the cutter and any feed direction.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Camila Sanches Schimidt, Leopoldo Pisanelli Rodrigues de Oliveira, Carlos De Marqui Jr
Summary: This work investigates the vibro-acoustic performance of graded piezoelectric metamaterial plates. The study shows that piezoelectric metamaterial plates with reconfigurable properties can provide enhanced vibration and sound power attenuation.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Jun Ke, Li-jie Liu, Zhen-yu Wu, Zhong-ping Le, Luo Bao, Dong-wei Luo
Summary: Compared with other green natural fibers, ramie has higher mechanical properties and lower cost. In this study, ramie and glass fiber are made into composite circular tubes. The results show that the hybrid circular tube with ramie and glass fiber has improved torsional mechanical properties and reduced weight and cost. The failure mechanisms are affected by the loading direction and the content of each fiber.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Natalia Pingaro, Gabriele Milani
Summary: This paper proposes an enhanced analytical model for predicting the behavior of FRCM samples tested under standard tensile tests. The model takes into account the interaction between fibers and matrix through the interface, and assumes different material properties at different phases. By solving a second order linear differential equation, an analytical solution can be obtained. The model is validated with experimental data and shows good predictability.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Jialiang Fan, Anastasios P. Vassilopoulos, Veronique Michaud
Summary: This article investigates the effects of voids, joint geometry, and test conditions on the fracture performance of thick adhesive Double Cantilever Beam (DCB) joints. It concludes that grooved DCB joints with low void content tested at low displacement rates showed stable crack propagation without significant crack path deviation.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Auwalu I. Mohammed, Kaarthikeyan Raghupathy, Osvaldo De Victoria Garcia Baltazar, Lawson Onokpasah, Roger Carvalho, Anders Mogensen, Farzaneh Hassani, James Njuguna
Summary: This study investigates the performance of composite pressure vessels under damaged and undamaged conditions, providing insights into their reliability and residual strength capabilities. The results demonstrate that the damage profile and its effect on compressive strength are similar between damaged and non-damaged cylinders. When subjected to quasi-static compression, the polyethylene liner absorbs enough elastic strain energy to recover without plastic deformation. Additionally, quasi-static compression has little to no influence on the axial strength of the cylinders. The damage characterization reveals fiber breakage, delamination, local buckling, and brooming failure. This study has direct implications for the safety design tolerances, manufacturing strategies, and operational failure conditions of composite overwrapped pressure vessels (COPVs).
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Muhammad Irfan Shirazi, Samir Khatir, Djilali Boutchicha, Magd Abdel Wahab
Summary: Structural health monitoring is important to ensure the safety of components and structures. This study proposes a method using finite element models and 1D-CNN network to extract and classify vibration responses for crack detection. The results show that the proposed approach is effective in real-time damage detection.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Maryam Mirsalehi, Kiarash Kianpour, Sharif Shahbeyk, Mohammad Bakhshi
Summary: This study comprehensively investigates the one-way response of 3D-woven sandwich panels (3DWSPs) and their interfering parameters, providing interpretation of elastic and failure results, failure maps, and reliable theoretical models for linear elastic response and observed failure mechanisms.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Yiming Zhao, Zhonggang Wang, Zhigang Yang, Bin Qin
Summary: The paper proposes a Ritz and statistical energy analysis (Ritz SEA) hybrid method for calculating rectangular plate acoustic vibration coupling in the mid-frequency range. This method combines the fast convergence and ability to handle arbitrary boundary conditions of the Ritz method with the power flow equation of the statistical energy analysis method. The results show that this approach effectively filters out random fluctuations in mid-frequency domains while demonstrating exceptional stability and precision.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Joao Henrique Fonseca, Woojung Jang, Dosuck Han, Naksoo Kim, Hyungyil Lee
Summary: This study addresses the enhancement of an injection-molded fiber-reinforced plastic / metal hybrid automotive structure and its plastic injection molding process through the integration of the finite element method, artificial intelligence, and evolutionary search methods. Experimental validation of finite element models, the generation of a database through orthogonal array and Latin hypercube methods, and the training of artificial neural networks are conducted. The genetic optimization algorithm is then applied to identify optimal process parameters. The results show significant reduction in product warpage and manufacturing time while maintaining structural strength, contributing to the advancement of composite automotive structures with superior quality.
COMPOSITE STRUCTURES
(2024)
Article
Mechanics
Alessandro Vescovini, Carina Xiaochen Li, Javier Paz Mendez, Bo Cheng Jin, Andrea Manes, Chiara Bisagni
Summary: This paper presents a study on six single-stringer specimens manufactured using the card-sliding technique with non-crimp fabrics and adopting a Double-Double (DD) stacking sequence. The specimens were tested under compression loading conditions to investigate post-buckling and failure in aerospace structures. Experimental results and numerical simulations were compared to analyze the behavior and failure modes of the specimens. The study found promising evidence of a viable solution to optimize aeronautical structures and enhance resistance to skin-stringer separation, particularly with the use of tapered flanges.
COMPOSITE STRUCTURES
(2024)
