Article
Mechanics
Atteshamuddin S. Sayyad, Yuwaraj M. Ghugal
Summary: This study presents the static and free vibration analysis of doubly-curved functionally graded material shells using various equivalent single-layer shell theories considering shear deformation and rotary inertia effects. The generalized shell theory used in this study unifies different equivalent single-layer shell theories by making the displacement field independent of the transverse shear strain function. Equations of motion are derived using Hamilton's principle and solved analytically using Navier's technique, providing new numerical results for future researchers.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Ali Ebrahimijahan, Mehdi Dehghan, Mostafa Abbaszadeh
Summary: In this study, a method based on integrated radial basis function-finite difference is proposed to solve the numerical solution of plane elastostatic equations, aiming to obtain more accurate numerical results. Several examples are solved to verify the accuracy and validity of the method.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Mechanics
Shun-Qi Zhang, Ya-Fei Zhao, Xiang Wang, Min Chen, Ruediger Schmidt
Summary: The paper presents a finite element model coupled with magneto-electro-elastic fields for static and dynamic analysis of FG-MEE plates and shells. The model is validated and utilized for parametric study of FG-MEE structures with functionally graded electric and magnetic properties.
COMPOSITE STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Lihua Wang, Yijia Liu, Zhangzeng Liao, Yueting Zhou, Fan Yang
Summary: In this paper, a meshfree Hermite collocation method based on gradient reproducing kernel approximations is proposed for the eigenvalue analysis of thin functionally graded plates with in-plane material inhomogeneity. The proposed method improves the accuracy of the solutions, especially on the boundaries, compared to the direct collocation method (DCM). The introduction of gradient reproducing kernel approximations avoids complex and time-consuming derivative calculations and enables the solution of thin plate problems without high order direct differentiations.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2023)
Article
Acoustics
Thi Phuong Nguyen, Trung Nguyen-Thoi, Duy Kien Tran, Duc Tuan Ho, Hoai Nam Vu
Summary: This article proposes a semianalytical approach for the nonlinear free and forced asymmetric vibration of corrugated sandwich functionally graded cylindrical shells containing fluid under harmonic radial load. The numerical investigations for the nonlinear dynamic response of cylindrical shells are obtained by using the fourth-order Runge-Kutta method. Numerical results show the very large effects of corrugation and fluid on the natural frequency and nonlinear vibration behavior of shells.
JOURNAL OF VIBRATION AND CONTROL
(2021)
Article
Engineering, Multidisciplinary
Shahram Hosseini, Gholamhossein Rahimi, Yavar Anani
Summary: The study introduces a meshless collocation method based on radial basis functions for analyzing the free and forced vibration of functionally graded plates. A new algorithm is proposed to determine the shape parameters of the radial basis function and discretize the governing equations for obtaining natural frequencies. The reduced equations are solved using eigenvectors and numerical methods, providing a convenient and accurate approach for vibration analysis.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Xianbo Sun, Yahui Zhang
Summary: This paper presents an adaptive stochastic isogeometric method for the nonlinear bending analysis of thin functionally graded material shells with material uncertainties. The method incorporates a second-order random field to describe the spatial randomness of material properties. An adaptive, nested, and non-intrusive Chebyshev interpolation process is formulated to approximate the response surface of random inputs. The effectiveness of the method is demonstrated through examples and the influence of the statistical characteristics of the gradient index field on the response surface analysis and the random response is investigated.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mechanics
Jianghuai Li, Zihua Zhang, Zhenwen Zhang
Summary: This paper presents new shell elements for the analysis of functionally graded plates and shells with varying material properties through the thickness. The shell element is treated as a three-dimensional linear elastic body and its middle surface is represented with a quadrilateral spectral element. The shell geometry is described by scaling the middle surface and the displacements are approximated using quadratic Lagrange shape functions. The developed shell elements eliminate various locking phenomena and require only the shell mid surface to be discretized. The formulation is validated through benchmark examples and gravity load problems.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
B. Amieur, M. Djermane, A. M. Zenkour, F. Hammadi
Summary: One of the most important aspects in the dimensioning of structural calculations is the study of static or dynamic stability, which can be approached through different methods such as static buckling, parametric resonance, and dynamic buckling.The present work focuses on dynamic stability of functionally graded material shell structures, using dynamic buckling criteria. The objective is to determine the critical dynamic load of FG structures composite type in the dynamic case, using phase plane and motion equation criteria. Different mechanical properties are considered as continuous functions through-thickness direction, according to the volume fraction of the constituents using a simple power law distribution. The effects of variations in volume fractions and shell geometrical parameters are studied. Convergence tests and comparison studies are conducted to establish the efficiency of the proposed model.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mechanics
Jose S. Moita, Aurelio L. Araujo, Victor Franco Correia, Cristovao M. Mota Soares
Summary: The buckling analysis of functionally graded materials (FGM) axisymmetric plate-shell type structures under mechanical and thermal loading is presented in this work utilizing numerical solution and finite element model. The use of penalty function to handle transverse shear deformations and achieve analysis with traditional shear deformation allows for reduced computational time.
COMPOSITE STRUCTURES
(2021)
Article
Mathematics, Applied
Zheng Liu, Gaofeng Wei, Shaopeng Qin, Zhiming Wang
Summary: A new meshfree method, RRKPM, based on RBFs and RKPM is proposed for solving elastoplastic problems of FGMs, which offers greater accuracy and convergence advantages. The applicability and reliability of RRKPM are validated through examples and comparison with RKPM and FEM solutions.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Engineering, Mechanical
Tao Fu, Xing Wu, Zhengming Xiao, Zhaobo Chen
Summary: This paper presents analytical studies on the dynamic instability of functionally graded material sandwich conical shell subjected to time dependent periodic parametric axial and lateral load. The governing equations are established by considering first order shear deformation shell theory, and the Mathieu-Hill equations describing the parametric stability are obtained by generalized differential quadrature method. The influences of sandwich distribution types, gradient indexes, skin-core-skin ratio and load forms on the dynamic stability of FGM sandwich conical shell have been investigated.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Materials Science, Multidisciplinary
Wenfeng Hu, Tao Xu, Jinsheng Feng, Lei Shi, Jun Zhu, Jianyou Feng
Summary: An analytical solution is proposed for the axisymmetric static responses of thick functionally graded cylindrical shells with general boundary conditions, satisfying the boundary conditions along the thickness. The solution demonstrates high precision and good convergence for various boundary conditions. It reveals the exact distributions of displacement and stress components along the radial and axial directions, and analyzes the effects of thickness-to-radius ratio, span-to-radius ratio, and material gradient index on the static responses of the thick FGM cylindrical shell.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Pengchong Zhang, Chengzhi Qi, Xu Sun, Hongyuan Fang, Yesheng Huang
Summary: This study investigates the transverse bending behaviors of in-plane bidirectional functionally graded piezoelectric material plates using the scaled boundary finite element method and precise integration method. The proposed method allows for exploring the structural characteristics of the plates with arbitrary mathematical functions for the material coefficients. The study provides insights into the effects of geometrical shapes, gradient functions, loadings, and thickness-to-span ratios on the static flexure of FGPM plates.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Construction & Building Technology
Thanh T. Banh, Luu G. Nam, Dongkyu Lee
Summary: This paper presents a novel implicit level set method using radial basis functions (RBF) for topology optimization of functionally graded (FG) structures with pre-existing discontinuities. The mathematical formulation incorporates RBF-based nodal densities as design variables and minimizes compliance as the objective function. Crack-tip enrichment functions are introduced to accurately capture crack-tip behavior and an eXtended Finite Element Method (X-FEM) is employed for mechanical analysis. The Hamilton-Jacobi method is used for enforcing boundary conditions. The study provides mathematical expressions for topology optimization of systems with defects using FG materials and numerical examples are presented to demonstrate the proposed methodology's efficiency and reliability.
STEEL AND COMPOSITE STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Yaping Liu, Fan Yang, Xiang Zhang, Jiarui Zhang, Zheng Zhong
Summary: This paper investigates the problem of crack propagation in gradient nano-grained metals through extensive quasi-3D molecular dynamic simulations. It is found that the introduction of grain size gradient can compromise the ability of nano-grained metals to resist crack propagation. The synergistic interactions between dislocation activity, grain boundary mechanisms, and crack propagation are analyzed through the examination of crack tip profile, stress, and atom density of various defect structures.
INTERNATIONAL JOURNAL OF FRACTURE
(2022)
Article
Materials Science, Multidisciplinary
Yijie Bian, Fan Yang, Siyuan Zhang, Ming Chen, Yicheng Song
Summary: This study investigates the compression behaviors of body-centered cubic (BCC) lattice structures with three different constituent materials and finds that despite the distinct mechanical properties of the materials, the lattice structures exhibit similar deformation modes and stress-strain curve characteristics, offering a feasible approach to reducing cost and ensuring result universality by employing cheaper materials like PLA and PA12.
Article
Chemistry, Multidisciplinary
Sheng Qian, Yifeng Ni, Yi Gong, Fan Yang, Qi Tong
Summary: This study finds that using a gradient nanograined structure can enhance the damping capacity of metals. The GB orientations in the gradient grains can facilitate GB sliding, thus increasing the damping capacity. This structure can also maintain the level of material strength and achieve a synergy of strength, ductility, and damping.
Review
Engineering, Mechanical
Linxi Qiu, Fan Yang, Zhennan Zhang, Jinfeng Zhao
Summary: This paper focused on the fracture behavior of gradient nanocrystalline metals with residual stress induced by mechanical surface treatments. The J-integral of a mode I crack in the gradient nanocrystalline metal with different residual stress was calculated using finite element method. The results revealed that the J-integral is significantly influenced by the residual stress magnitude and compressive zone depth.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
(2022)
Article
Engineering, Civil
Weiren Zhang, Fan Yang, Siyuan Zhang, Yijie Bian, Peng Wang, S. A. Meguid
Summary: This paper presents a new multicellular design for effective energy absorption. Extensive experiments, simulations, and analysis were conducted to evaluate the performance of this design. The results show that a face centered square layout with an appropriately selected taper angle has excellent energy absorption and crashworthiness properties.
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS
(2023)
Article
Mechanics
Puhao Li, Fan Yang, Yijie Bian, Siyuan Zhang, Lihua Wang
Summary: This paper proposes a theoretical method for calculating the elastic matrices of lattice materials and presents a design strategy for obtaining elastic isotropic lattice materials by combining lattice configurations with complementary stiffness along different directions. The effectiveness and adaptability of the proposed design strategy are demonstrated through examples of different classic lattices. The method proposed in this paper provides a new approach in the design of lattice materials with excellent anisotropy control.
Article
Engineering, Multidisciplinary
Lihua Wang, Minghao Hu, Zheng Zhong, Fan Yang
Summary: In this paper, a new stabilized Lagrange interpolation collocation method (SLICM) is proposed in which the Lagrange interpolation (LI) is employed for the approximation in a meshfree method. This method satisfies high order integration constraints and achieves exact integration in subdomains, leading to optimal convergence. The method also improves stability by reducing the condition number of the discrete matrix. Moreover, the Lagrange interpolation approximation allows for simple and exact imposition of essential boundary conditions.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics
Minghao Hu, Lihua Wang, Fan Yang, Yueting Zhou
Summary: In this paper, a meshfree weighted radial basis collocation method associated with the Newton's iteration method is introduced to solve the nonlinear inverse Helmholtz problems for identifying the parameter. All measurement data are included in the least-squares solution to avoid the iteration calculations in Galerkin-based methods. Appropriate weights are imposed on the boundary and measurement conditions to balance the errors, resulting in high accuracy and optimal convergence for solving inverse problems. Moreover, the one-dimensional inverse problem can be easily extended to high-dimensional problems.
Article
Nanoscience & Nanotechnology
Yijie Bian, Ruicheng Wang, Fan Yang, Puhao Li, Yicheng Song, Jiemin Feng, Wenwang Wu, Ziyong Li, Yang Lu
Summary: In this paper, novel multiphase heterogeneous lattice materials are developed using the precipitation strengthening mechanism in metal metallurgy. By utilizing the hindering effect of second-phase lattice cells on shear band propagation, the mechanical properties of the materials are enhanced. Different from conventional random distribution, second-phase and third-phase cells are continuously distributed along the regular pattern of a larger-scale lattice to form internal hierarchical lattice structures. The results show that the triphase lattices possess balanced mechanical properties and introducing a relatively weak phase can improve stiffness and plateau stress, contrary to the common mixed rule.
ACS APPLIED MATERIALS & INTERFACES
(2023)
Article
Construction & Building Technology
Xin Ren, Dong Han, Long Sun, Xue Gang Zhang, Wei Jiang, Zhi Tao, Yi Min Xie, Fan Yang, Guo Xing Lu
Summary: Aluminum foam-filled circular auxetic metamaterials were designed and investigated in this study. The mechanical properties and deformation modes of the proposed aluminum foam-filled auxetic tubes were analyzed using experimental and numerical methods. The energy contribution ratio of the interaction between the aluminum foam and auxetic tube improves with the aluminum foam's density. The AFFAT with a higher ratio of the elliptical major axis to the minor axis has increased compression load efficiency. Among the investigated composite structures, the AFFAT has the highest compression load efficiency.
CONSTRUCTION AND BUILDING MATERIALS
(2023)
Article
Engineering, Mechanical
Peng Wang, Fan Yang, Pengfei Li, Weiren Zhang, Guoxing Lu, Hualin Fan
Summary: Inspired by the skeletal system of deep-sea glass sponge, a new structure called vertex modified body-centered cubic (VM-BCC) lattice was proposed, which outperforms conventional lattices in terms of strength, deformation stability, and energy absorption capacity. This novel bio-inspired lattice enriches the design space for lightweight energy absorbers and has potential applications in the fields of national defense, aerospace, navigation, and medical implants.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Chemistry, Multidisciplinary
Peng Wang, Fan Yang, Bailin Zheng, Pengfei Li, Ruicheng Wang, Yan Li, Hualin Fan, Xiaoyan Li
Summary: It is a challenge to compromise between mechanical property indicators in the design of lightweight lattice materials. A hierarchical lattice metamaterial is proposed to overcome this challenge, inspired by the glass sponge skeletal system. This lattice metamaterial possesses high strength, energy absorption, toughness, and controllable deformation patterns, combining bionic features of reinforcement and modification. The proposed lattice demonstrates superior damage tolerance compared to existing lattice metamaterials and outperforms the Octet lattice in terms of specific strength, energy absorption, and crushing force efficiency.
ADVANCED FUNCTIONAL MATERIALS
(2023)
Article
Mechanics
Puhao Li, Fan Yang, Yijie Bian, Siyuan Zhang, Lihua Wang
Summary: In this paper, the lattice materials with the generalized body-centered cubic (BCC) cell geometry are investigated extensively. The influences of different cell geometries on the mechanical properties of the generalized cubic lattice are analyzed through theoretical and numerical methods. It is found that adding reinforcement bars along the loading direction enhances stiffness and strength, while bars perpendicular to the loading direction largely influence the Poisson's ratio. A modified BCC lattice with offset central cell vertices achieves optimal energy absorption capacity.
COMPOSITE STRUCTURES
(2023)
Article
Computer Science, Interdisciplinary Applications
Puhao Li, Fan Yang, Yaping Liu, Yijie Bian, Siyuan Zhang, Lihua Wang, Hualin Fan
Summary: This paper investigates the effect of the distribution pattern of reinforcement phase on the mechanical properties of simple-cubic matrix dual-phase lattices. Two reinforcement phases, body centered cubic and face centered cubic cells, are studied. A novel distribution pattern based on Sudoku algorithm is proposed to achieve balanced properties. Finite element simulations compare five distribution types and indicate that scattered distribution of reinforcement phase is beneficial. A parameter called degree of concentration is introduced to guide lattice design, where mechanical properties are inversely related. The proposed Sudoku dual-phase lattice exhibits advantageous isotropic mechanical properties.
COMPUTERS & STRUCTURES
(2023)
Article
Engineering, Civil
Lingbo Li, Fan Yang, Siyuan Zhang, Zhengmiao Guo, Lihua Wang, Xin Ren, Min Zhao
Summary: This paper proposes a star-rhombic honeycomb (SRH) design to improve the load-bearing capacity of conventional auxetic structures while maintaining their auxetic properties. Analytical models for the elastic modulus and Poisson's ratio of this structure under different loading directions are developed. Quasi-static compression experiments conducted on SRH specimens fabricated using selective laser melting (SLM) technique validate the improved elastic modulus and energy absorption capacity of the SRH structure. An optimum energy absorption performance is achieved for an appropriate ratio of the inner rhombic strut thickness to outer reentrant strut thickness (k = 0.5). The SRH structure exhibits significantly higher specific energy absorption compared to conventional reentrant honeycomb (RH) and star honeycomb (SH) structures, making it advantageous for applications requiring both auxetic and load-bearing properties.
ENGINEERING STRUCTURES
(2023)
Article
Engineering, Mechanical
Rosaria Del Toro, Maria Laura De Bellis, Marcello Vasta, Andrea Bacigalupo
Summary: This article presents a multifield asymptotic homogenization scheme for analyzing Bloch wave propagation in non-standard thermoelastic periodic materials. The proposed method derives microscale field equations, solves recursive differential problems within the unit cell, establishes a down-scaling relation, and obtains average field equations. The effectiveness of this approach is validated by comparing dispersion curves with those from the Floquet-Bloch theory.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Yue Bao, Zhengcheng Yao, Yue Zhang, Xueman Hu, Xiandong Liu, Yingchun Shan, Tian He
Summary: This paper proposes a novel triple-gradient phononic acoustic black hole (ABH) beam that strategically manipulates multiple gradients to enhance its performance. The study reveals that the ABH effect is not solely brought about by the thickness gradient, but also extends to the power-law gradients in density and modulus. The synergistic development of three different gradient effects leads to more pronounced and broader bandgaps in PCs.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Matthias Ryser, Jason Steffen, Bekim Berisha, Markus Bambach
Summary: This study investigates the feasibility of replacing complex experiments with multiple simpler ones to determine the anisotropic yielding behavior of sheet metal. The results show that parameter identifiability and accuracy can be achieved by combining multiple specimen geometries and orientations, enhancing the understanding of the yield behavior.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Wenjun Li, Pengfei Zhang, Siyong Yang, Shenling Cai, Kai Feng
Summary: This study presents a novel two-dimensional non-contact platform based on Near-field Acoustic Levitation (NFAL), which can realize both one-dimensional and two-dimensional transportation. Numerical and experimental results prove the feasibility and ease of this method.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Shuo Liu, Lu Che, Guodong Fang, Jun Liang
Summary: This study presents a novel lamina conjugated bond-based peridynamic (BB-PD) model that overcomes the limitations of material properties and is applicable to composite laminates with different stacking sequences. The accuracy and applicability of the model are validated through simulations of elastic deformation and progressive damage behavior, providing an explanation of the damage modes and failure mechanisms of laminated composite materials subjected to uniaxial loading.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Omar El-Khatib, S. Kumar, Wesley J. Cantwell, Andreas Schiffer
Summary: Sandwich-structured honeycombs (SSHCs) are hierarchical structures with enhanced mass-specific properties. A model capable of predicting the elastic properties of hexagonal SSHCs is presented, showing superior in-plane elastic and shear moduli compared to traditional honeycombs, while the out-of-plane shear moduli are reduced.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Zhi-Jian Li, Hong-Liang Dai, Yuan Yao, Jing-Ling Liu
Summary: This paper proposes a process-performance prediction model for estimating the yield strength and ultimate tensile strength of metallic parts fabricated by powder bed fusion additive manufacturing. The effect of main process variables on the mechanical performance of printed metallic parts is analyzed and the results can serve as a guideline for improvement. The accuracy of the proposed model is validated by comparison with literature.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
Saman A. Bapir, Kawa M. A. Manmi, Rostam K. Saeed, Abdolrahman Dadvand
Summary: This study numerically investigates the behavior of an ultrasonically driven gas bubble between two parallel rigid circular walls with a cylindrical micro-indentation in one wall. The primary objective is to determine the conditions that facilitate the removal of particulate contamination from the indentation using the bubble jet. The study found that the bubble jet can effectively remove contamination from the indentation for certain ranges of indentation diameter, but becomes less effective for larger indentation diameters.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
Article
Engineering, Mechanical
E. Polyzos, E. Vereroudakis, S. Malefaki, D. Vlassopoulos, D. Van Hemelrijck, L. Pyl
Summary: This research investigates the elastic and damage characteristics of individual composite beads used in 3D printed composites. A new analytical probabilistic progressive damage model (PPDM) is introduced to capture the elastic and damage attributes of these beads. Experimental results show strong agreement with the model in terms of elastic behavior and ultimate strength and strain.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2024)
