Article
Acoustics
Enda Zhang, Jinping Zhang, Bohui Chen, Changsheng Liu, Yu Zhan
Summary: In this study, the application of laser ultrasonic in TC4/Inconel718 functionally graded material was investigated using the finite element method. The influence of material interfaces and the material component of transition layers on ultrasound was specifically studied. The results showed that material interfaces can enhance the amplitude of the Rayleigh wave while attenuating and scattering the longitudinal wave and shear wave. The material component of transition layers indirectly affected the increased amplitude of the Rayleigh wave. Additionally, the ultrasound velocity in the functionally graded material decreased with increasing propagation depth. This research provides a suitable method for detecting functionally graded materials and lays the groundwork for the use of laser ultrasonic in this field.
Article
Engineering, Civil
Jianghuai Li
Summary: This study proposes new finite element methods for functionally graded piezoelectric shells that can accurately, efficiently, and comprehensively describe such structures. The shell element is treated as a three-dimensional continuum and its middle surface is represented with a quadrilateral spectral element. The shell geometry is described by scaling the middle surface along the thickness, while the displacements and electric potential are approximated using consistent quadratic Lagrange interpolation. The developed approach is verified by solving piezoelectric or functionally graded plate problems with reference solutions. The influence of power-law index and span-to-thickness ratio on the static and free vibration behaviors of the functionally graded structures is investigated and the optimal value of lambda for general functionally graded shells is determined.
THIN-WALLED STRUCTURES
(2023)
Article
Construction & Building Technology
Emad Ghandourah, Kouider Bendine, Samir Khatir, Brahim Benaissa, Essam Mohammed Banoqitah, Abdulsalam Mohammed Alhawsawi, Essam B. B. Moustafa
Summary: In this research paper, a dynamic algorithm is proposed for accurate damage localization in functionally graded plates. The algorithm involves the creation of a grid matrix to capture the dynamic response of the structure and an optimization process using a linear equation to localize the damage precisely. Experimental tests on a functionally graded plate demonstrate the effectiveness of the proposed approach.
Article
Mechanics
Jun Liu, Congkuan Hao, Wenbin Ye, Quansheng Zang
Summary: This article analyzes the bending properties of functionally graded material (FGM) sandwich beams using the scaled boundary finite element method (SBFEM) for the first time. The FGM sandwich beam model is realized using high order spectral elements, with only the axial dimension of the beam needing to be discretized. The analytical formula in the thickness direction better satisfies the properties of the FGM. Importantly, the use of a small number of high order spectral elements greatly improves computational efficiency.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2023)
Article
Mathematics
Giovanni Aiello, Salvatore Alfonzetti, Santi Agatino Rizzo, Nunzio Salerno
Summary: This paper describes a specific application of the hybrid FEM-DBCI for computing low-frequency electromagnetic fields in open-boundary domains. The method is applicable to computing electrostatic fields and eddy currents, and it is competitive in terms of accuracy and computing time when compared with other methods.
Article
Engineering, Manufacturing
Zhengtong Shan, Minh Tien Tran, Wanchuck Woo, Sun-Kwang Hwang, Huai Wang, Vladimir Luzin, Ed. J. Kingston, Michael R. Hill, Adrian DeWald, Dong-Kyu Kim
Summary: This study proposes a multiscale framework based on the inherent strain method to accurately predict residual stress distribution in functionally graded materials (FGMs) processed via additive manufacturing (AM) using directed energy deposition (DED). The results indicate that the proposed model predicts the residual stress distribution in FGMs consistent with experimental measurements and allows for the investigation of the effects of interlayers and scanning strategies on residual stress and distortion.
ADDITIVE MANUFACTURING
(2023)
Article
Mechanics
Hamza Chaabani, Said Mesmoudi, Lhoucine Boutahar, Khalid El Bikri
Summary: This work utilizes a numerical model called the High Order Continuation with Finite Element Method (HOC-FEM) to study the behavior of nonlinear geometric functionally graded material (FGM) sandwich plates under various nonuniform compressions. HOC-FEM is an efficient tool for analyzing nonlinear buckling and post-buckling phenomena.
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
Biology
Abdelhak Ouldyerou, Hassan Mehboob, Ali Merdji, Laid Aminallah, Ali Mehboob, Osama M. Mukdadi
Summary: The long-term success of dental implants depends on the implant material, design, and bone density. Functionally graded porous materials and designs can address the complications of conventional implants in high-density bone, as they can control stiffness locally to meet biomechanical requirements.
COMPUTERS IN BIOLOGY AND MEDICINE
(2022)
Article
Engineering, Aerospace
Giuseppe Ruta, Isaac Elishakoff
Summary: By choosing suitable yet general enough functional gradients for the radius and thickness, closed-form solutions for the linear elastic direct problem of axisymmetric circular plates can be obtained. The plates are modeled using the Kirchhoff-Love theory under the assumption of thinness, and the governing equations are dealt with in nondimensional form to abstract from actual geometric and material parameters.
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
Koutoati Kouami, Mohri Foudil, Daya El Mostafa, Carrera Erasmo
Summary: A beam finite element model is proposed for static and free vibration analyses of FGM sandwich beams with viscoelastic nonlinear material behavior. Different viscoelastic frequency-dependent laws, Timoshenko 1st order, and Reddy's higher order shear models are used. The stiffness matrix is nonlinear and frequency dependent. The study shows that beam behavior is sensitive to the loss factor, and damping properties are nonlinearly dependent on the power law index. Boundary conditions affect vibration modes.
COMPOSITE STRUCTURES
(2021)
Article
Mathematics, Applied
Amin Amiri Delouei, Amin Emamian, Saeed Ghorbani, Fuli He
Summary: In this research, an analytical solution is proposed for unsteady heat transfer in a two-dimensional finite cylinder made of functionally graded materials. By considering the thermal conductivity coefficients as a power function of the radius and applying Laplace transform, Fourier transform, and meromorphic functions, the complex partial differential equation is successfully solved. The predicted temperature distribution is well verified against previous research works. The proposed analytical solution is valuable for a better understanding of unsteady heat transfer in functionally graded materials.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Engineering, Civil
Wenbin Ye, Jun Liu, Jing Zhang, Fan Yang, Gao Lin
Summary: This paper presents a study on bending response, free vibration, and mechanical buckling of functionally graded material (FGM) plates using the scaled boundary finite element method (SBFEM) for the first time. The method employs high order spectral elements with three degrees of freedom per node to ensure accuracy and reduce computational cost. By eliminating the need for numerical approximations in the thickness direction, the approach provides an accurate solution for displacement in the thickness direction while strictly following the 3D theory of elasticity. Comparisons with analytical and numerical solutions from other researchers confirm the accuracy and computational efficiency of the proposed formulations.
THIN-WALLED STRUCTURES
(2021)
Article
Materials Science, Multidisciplinary
Jai Kumar Sharma, Sateesh Kumar, Nishant Kumar, S. M. Mozammil Hasnain, Shatrudhan Pandey, Ahmed Farouk Deifalla, Adham E. Ragab
Summary: The first-order shear deformation theory (FSDT) was used to study the natural frequency response of functionally graded piezoelectric plates subjected to static electrical and mechanical strain. A monomorph model for a functionally graded piezoelectric plate with material properties changing according to sigmoid law with respect to plate thickness was considered. A three-dimensional finite element model with a free tetrahedral element mesh was created to investigate variations in the FGPM plate's free vibration boundary conditions, composition, and geometry. The non-dimensional natural frequency of FGPM plates initially decreases considerably and then remains almost constant with an increase in volume fraction index when material property is graded by power law. When material properties are varied by sigmoid law, the non-dimensional natural frequency remains virtually constant with an increase in volume fraction index. FGPM plates have a lower non-dimensional natural frequency if the thickness to width ratio is greater. Clamped-Clamped FGPM plates (C-C-C-C) have higher non-dimensional natural frequencies compared to Clamped-Free FGPM (C-F-C-F) and Simply Supported Free FGPM (S-F-S-F).
MATERIALS RESEARCH EXPRESS
(2023)
Article
Materials Science, Multidisciplinary
Si-Hang Xiao, Chong Zhang, Qing-Hua Qin, Hui Wang
Summary: A novel planar auxetic material is designed in this study by introducing a periodic cookie-shaped pattern to reduce stress levels and create a complete band gap at lower frequencies. The designed structure features a self-collimation effect and parameter analysis can help tailor optimal acoustic and mechanical properties for auxetic phononic metamaterials.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Ruifeng Cao, Taotao Wang, Yuxuan Zhang, Hui Wang
Summary: Improved heat transfer in composites consisting of guar gel matrix and randomly distributed glass microspheres is studied using a finite element method. A random sequential adsorption algorithm is developed to generate the three-dimensional random distribution of microspheres in the matrix. The numerical results investigate the dependence of the effective thermal conductivity on various factors and are compared with theoretical predictions and experimental data.
MATERIALS SCIENCE-MEDZIAGOTYRA
(2022)
Article
Materials Science, Multidisciplinary
Feng Hou, Sihang Xiao, Hui Wang
Summary: Metamaterial with elliptical perforations is studied using a distinctive computational homogenized method, investigating the relationship between effective properties and microstructure parameters, as well as base material composition. The design criterion of zero Poisson's ratio is formulated to guide metamaterial design.
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Yafeng Chang, Hui Wang, Qinxi Dong
Summary: This paper presents a data-driven machine learning model that combines neural networks and genetic algorithms to achieve inverse design from property to microstructure, offering efficiency and accuracy in designing auxetic metamaterials with specific Poisson's ratio.
MATERIALS TODAY COMMUNICATIONS
(2022)
Article
Materials Science, Multidisciplinary
Hui Wang, Chong Zhang, Qing-Hua Qin, Yang Bai
Summary: This study presents a new design for improving the compression-torsion coupling (CTC) performance of tubular mechanical metamaterial by introducing boomerang-shaped tetrachiral elements with curved ligaments. The experimental results and numerical solutions show promising CTC performance of the fabricated specimen. The curved ligament in the design brings more flexible deformation and better CTC property compared to the straight one.
MATERIALS TODAY COMMUNICATIONS
(2022)
Article
Chemistry, Physical
Miao Zou, Wu-Gui Jiang, Qing-Hua Qin, Yu-Cheng Liu, Mao-Lin Li
Summary: This study developed an optimized XGBoost model to predict the density of SLMed Ti-6Al-4V parts and found that with the reduction of dataset size, the prediction accuracy decreases but overall accuracy remains high. Additionally, the optimized XGBoost model outperformed ANN and SVR models in evaluation indicators.
Article
Polymer Science
Quanyan He, Miaojing Wang, Yitao Du, Qinghua Qin, Wei Qiu
Summary: This study used the photoelastic method to investigate the stress-optical properties of PET films. A self-built bidirectional photoelasticity measurement system was developed and used to measure the stress-optical coefficients and isoclinic angles of PET films with different stretching angles. The linear combinations of the photoelastic tensor components and refractive-index-related parameters were determined by fitting the analytical relationship between the stress-optical coefficients and isoclinic angles.
Article
Physics, Applied
Shaohua Yan, Zheng Zhong, Qing. H. Qin
Summary: This paper investigates the mechanical properties of nanotwined copper at micro/nanoscales. The influence of vertical twin-boundary spacing and orientation on the deformation behavior of micropillars is explored through experiments, simulations, and theoretical analysis. The results show that decreasing twin-boundary spacing leads to increased yield stress, and micropillars with slanted twin boundaries at a spacing of 15.5 nm exhibit the highest strength.
JOURNAL OF APPLIED PHYSICS
(2022)
Article
Nanoscience & Nanotechnology
Bo Song, Kun Cai, Jiao Shi, Qing-Hua Qin
Summary: This study reveals the feasibility of fabricating graphene nanotubes (GNTs) by self-assembling a monolayer graphene ribbon on a carbon nanotube (CNT) and explores the mechanism of temperature dependence in the self-assembly process. Different types, lengths, and radii of GNTs can be obtained by controlling the geometry of the graphene ribbon and temperature.
Article
Engineering, Civil
Chengzhen Yin, Yi Xiao, Di Zhu, Jianshan Wang, Qing-Hua Qin
Summary: This paper investigates the dynamic characteristics of a one-dimensional phononic crystal with compression-twist coupling effect, and explores its starting frequency, bandwidth, and attenuation performance through analytical and numerical methods.
THIN-WALLED STRUCTURES
(2022)
Article
Thermodynamics
Feng Hou, Xinjuan Zhao, Hui Wang, Qinxi Dong
Summary: This study utilizes small hollow steel balls to encapsulate paraffin and mix it with cementitious matrix to fabricate functional composite phase change materials. The changes in composite thermal conductivity and the decrease in composite compressive strength are investigated through experiments and theoretical calculations, and the performance characteristics of these composite materials are discussed.
CASE STUDIES IN THERMAL ENGINEERING
(2022)
Article
Engineering, Mechanical
Hongyuan Liu, Feng Hou, Ang Li, Yongpeng Lei, Hui Wang
Summary: In this study, a data-driven approach is introduced to achieve efficient and reversible design of perforated materials with peanut-shaped pores. By training BPNN and optimizing the mapping relationship using GA, the corresponding optimal solutions of microstructural parameters meeting the target Poisson's ratio are found. The efficiency and accuracy of specific optimal designs are verified through experiments and simulations. Furthermore, this interdisciplinary tool enables the acceleration of auxetic metamaterial design by obtaining more optimal solutions corresponding to positive, zero, or negative Poisson's ratios.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2023)
Article
Engineering, Mechanical
Ang Li, Yongpeng Lei, Yang Bai, Hui Wang
Summary: An improved lightweight design with orthogonal corrugated beams is proposed to approximate the perforated auxetic structure and characterize its full anisotropic elastic constants. The numerical model is verified by experimental tests, highlighting the dependence of structural elastic responses on the microstructural configuration. The results pave a way to the design and analysis of novel metamaterials with tunable mechanical properties.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Mechanics
Minghui Zhang, Yi Xiao, Qing-Hua Qin
Summary: Engineering topological structures in unit cells provides elastic metamaterials (EMMs) with exceptional wave attenuation capabilities. However, practical metastructures, which are truncated versions of infinite EMMs, may significantly reduce wave attenuation capabilities. To address this, a novel modal-based method (MM) is proposed for evaluating the wave attenuation of 3D metastructures. By characterizing dominant eigenmodes developed in metastructures, the opening and closing of stopbands are evaluated, and the influence of different mechanisms on wave attenuation performance is investigated. Additionally, a modal-based design framework is introduced to modify metastructures for improved applicability in various engineering disciplines.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2023)
Article
Chemistry, Multidisciplinary
Shaohua Yan, Thomas D. Bennett, Weipeng Feng, Zhongyin Zhu, Dingcheng Yang, Zheng Zhong, Qing H. Qin
Summary: Metal-organic framework (MOF) glasses, a new type of glass, have the potential to solve greenhouse effects, energy storage and conversion. However, the mechanical behavior of MOF glasses is not well understood. Through experiments and simulations, we found that a specific type of MOF glass can achieve both high strength and large ductility at the nanoscale. The insights gained from this study can guide the manufacturing of ultra-strong and ductile MOF glasses for real-world applications.
Article
Mechanics
Alireza Enferadi, Majid Baniassadi, Mostafa Baghani
Summary: This study presents the design and analysis of an SMP microvalve, where the thermomechanical response of the SMP is investigated using a nonlinear constitutive model that incorporates hyperelasticity and viscoelasticity. The model accounts for fluid-solid interaction and heat transfer in both fluid and solid physics. Numerical simulations are carried out to examine the important characteristics of the SMP valve. The results demonstrate the significance of employing fluid-solid interaction conjugated heat transfer analysis for the efficient development of microvalves in diverse applications.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Hridya P. Lal, B. R. Abhiram, Debraj Ghosh
Summary: Higher-order elasticity theories are used to model mechanics at the nanoscale, but the length-scale parameters in these theories need to be evaluated through experiments or MD simulations. This study shows that the length-scale parameter in the modified strain gradient theory varies with dimensions, boundary conditions, and deformation level for carbon and boron nitride nanotubes. To address this issue, a supervised ML-based framework is developed, combining MD simulations, continuum formulation, and ML to predict the length-scale parameter for a given material, dimension, and boundary condition. This predictive tool reduces the need for expensive MD simulations and opens up possibilities for applying non-classical continuum theories to nanoscale mechanics problems.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Geng Chen, Shengzhen Xin, Lele Zhang, Min Chen, Christian Gebhardt
Summary: This paper develops a multiscale numerical approach to predict the failure probability of additive manufacturing (AM) structures subjected to time-varied loadings. The approach combines statistical homogenization, shakedown analyses, and reliability methods to consider the influence of microstructural features on load bearing capacity. Through case studies on exemplary structures and different material randomness assumptions, the robustness of the results is confirmed and the mechanism of how micropores influence structural reliability is explained.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Guillaume Cadet, Manuel Paredes
Summary: This study proposes a comprehensive solution for calculating the stress field on the surface of a curved beam with a circular cross section, which is crucial for probabilistic fatigue life analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Hongshi Ruan, Xiaozhe Ju, Junjun Chen, Lihua Liang, Yangjian Xu
Summary: This paper proposes a data-driven approach to improve the efficiency of computational homogenization for nonlinear hyperelastic materials. By combining clustering analysis, Proper Orthogonal Decomposition (POD), and efficient sampling, a reduced order model is established to accurately predict elastoplasticity under monotonic loadings. The numerical results show a significant acceleration factor compared to a purely POD-based model, which greatly improves the applicability for structural analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Pep Espanol, Mark Thachuk, J. A. de la Torre
Summary: The motion of a rigid body, described by Euler's equations in Classical Mechanics, assumes that the distances between constituent particles are fixed. However, real bodies cannot meet this assumption due to thermal fluctuations. In order to incorporate dissipative and thermal fluctuation effects into the description, a generalization of Euler's equations is proposed. This theory explains the origin of these effects as internal, rather than caused by an external thermal bath, and derives the stochastic differential equations governing the body's orientation and central moments.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Prateek Chandrakar, Narayan Sharma, Dipak Kumar Maiti
Summary: The current study focuses on the deterioration in thermal buckling performance of variable angle tow laminated (VATL) plates caused by damages in various composite and damage characteristics. Through numerical simulations and surrogate models, it was found that damages reduce the sensitivity of composite properties to buckling response, and a distinctive pattern of buckling response was observed when composite properties vary.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Liangteng Guo, Shaoyu Zhao, Jie Yang, Sritawat Kitipornchai
Summary: This study introduces composites reinforced with graphene origami nanofillers into functionally graded multilayered phononic crystals. Numerical investigations reveal that these materials possess negative Poisson's ratio and offer unique mechanical properties, which can be tuned by adjusting the weight fraction and hydrogen coverage of the graphene fillers.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Kai Li, Haiyang Wu, Yufeng Liu, Yuntong Dai, Yong Yu
Summary: This paper presents a novel self-oscillating liquid crystal elastomer fiber-beam system that can sway continuously and periodically under steady illumination. The governing equations of the system are established and the self-swaying process and motion mechanism are described in detail. Numerical results show the system undergoes supercritical Hopf bifurcation and the effects of system parameters on the self-swaying amplitude and frequency are discussed quantitatively.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Lingkang Zhao, Peijun Wei, Yueqiu Li
Summary: This paper proposes a spatial-temporal fractional order model to study the dynamic behavior of thermoelastic nanoplates in a thermal environment. The model provides a flexible approach to describe the small-scale effects and complex history-dependent effects. Analytical and numerical methods verify the reliability of the model, and the effects of parameters on the dynamic response are discussed.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
A. N. O'Connor, P. G. Mongan, N. P. O'Dowd
Summary: This research presents an autonomous framework that combines Bayesian optimization and finite element analysis to identify ductile damage model parameters. The framework has been successfully applied to P91 material datasets and demonstrates the impact of algorithm hyperparameters on the resulting non-unique ductile damage parameters.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
S. V. Sorokin, S. Lenci
Summary: This paper reconsiders the nonlinear coupling between flexural and longitudinal vibrations of ideally straight elastic beams, using a nonlinear theory of curved beams and employing class-consistent boundary conditions. A paradoxical difference in the nonlinear parts of the Duffing equations obtained in the limit of vanishing curvature and in the case of an ideally straight beam is demonstrated and explained.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
C. Hari Manoj Simha
Summary: Dynamic Mode Decomposition (DMD) can be used to construct deformation fields for linear solids without making constitutive assumptions or knowing material properties. It operates on time-shifted data matrices and selects dominant modes using singular value decomposition. DMD can be used for reconstructing displacement states in elastic solids and identifying the onset of plasticity in elastic-plastic solids.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
C. Ren, K. F. Wang, B. L. Wang
Summary: An electromechanical model is established to investigate the characteristics of a bilayer structure consisting of a piezoelectric semiconductor film and an elastic substrate. The combined effects of piezoelectricity and flexoelectricity are considered, and closed-form expressions for the distributions of electron concentrations and relevant electromechanical fields are obtained. The effects of interfacial parameter, flexoelectricity, and initial carrier concentration are discussed. The research highlights the importance of the interfacial parameter and the weakening effect of flexoelectricity on the imperfect interface of the bilayer system.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Yu Sun, Qiang Han, Chunlei Li
Summary: This paper presents the design of a tunable functionally graded metamaterial beam for flexural wave attenuation through the integration of a piezomagnetic shunt damping system and an inertial amplification mechanism. The proposed system demonstrates tunable and strong wave attenuation capability through local resonance and energy consumption. The theoretical and numerical results verify that the system can achieve significant wave attenuation at defined frequencies and also be optimized for maximal attenuation at various frequency ranges.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
