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Keywords = pentamode metamaterials

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14 pages, 3732 KiB  
Article
The Construction and Investigation of Two-Dimensional Re-Entrant Multiphase Honeycomb Lattice Metafluid
by Dongliang Pei, Hao Song, Lin Su and Shanjun Li
Appl. Sci. 2025, 15(4), 2152; https://doi.org/10.3390/app15042152 - 18 Feb 2025
Cited by 1 | Viewed by 485
Abstract
Compared to conventional materials, underwater metamaterials possess numerous advantages in the manipulation of sound waves, which have garnered increasing attention. In terms of composition, commonly studied underwater wideband metamaterials can be classified into solid-phase pentamode metafluid and water–solid coupling metafluid. The concept of [...] Read more.
Compared to conventional materials, underwater metamaterials possess numerous advantages in the manipulation of sound waves, which have garnered increasing attention. In terms of composition, commonly studied underwater wideband metamaterials can be classified into solid-phase pentamode metafluid and water–solid coupling metafluid. The concept of multiphase design in pentamode metafluid allows for decoupling the regulation of equivalent density from that of the equivalent bulk modulus, facilitating more convenient structural design. In typical auxetic metamaterial structure designs, the “re-entrant” mechanism is commonly employed; the skeleton is inwardly bent to a certain extent, enabling the design of a low volume-modulus for each cell. Consequently, a novel type of water–solid coupling metafluid is devised by combining the concepts of “multiphase” and “re-entrant”. Firstly, a straight-sided skeleton (referred to as “ss” skeletal) unit cell is designed, and its compression wave frequency band is determined through analysis of its band characteristics and related vibration modes. Subsequently, the “re-entrant” (referred to as “re”) mechanism is introduced into a unit cell, revealing an increase in equivalent density while decreasing the equivalent volume modulus due to this feature. The bent skeleton provides lower bulk modulus, while multiphase (referred to as “mp”) counterweighting offers higher equivalent density; their combination enables designing more impedance-matched metafluid. Then, a unit cell is designed utilizing both “re” and “mp” characteristics. Finally, acoustic performance simulations and analyses verify that both types exhibit excellent broadband water-like properties within the frequency range of 5000–27,000 Hz. In order to further validate the reliability of the design concept, two pairs of underwater metafluid cells with an impedance-matching effect were subsequently developed, demonstrating sound speeds that are half and one-third that of water, respectively. The skeleton thickness of the “re” cell was moderately enhanced compared to that of the straight side cell, thereby presenting an innovative approach for designing robust underwater metafluid cells. Full article
(This article belongs to the Special Issue Recent Advances in Underwater Acoustic Signal Processing)
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9 pages, 6153 KiB  
Article
Thermal Regulation of the Acoustic Bandgap in Pentamode Metamaterials
by Jing Cheng, Shujun Liang and Yangyang Chu
Crystals 2024, 14(11), 992; https://doi.org/10.3390/cryst14110992 - 17 Nov 2024
Cited by 2 | Viewed by 784
Abstract
This study used the finite element method to investigate the acoustic bandgap (ABG) characteristics of three-dimensional pentamode metamaterial (PM) structures under the thermal environment, and a method for controlling the PM ABG based on external temperature variation is also proposed. The results indicate [...] Read more.
This study used the finite element method to investigate the acoustic bandgap (ABG) characteristics of three-dimensional pentamode metamaterial (PM) structures under the thermal environment, and a method for controlling the PM ABG based on external temperature variation is also proposed. The results indicate that the complete acoustic bandgap can be obtained for a PM in the thermal environment, which makes the PM combine the bandgap characteristics of phononic crystals. More than that, the bandwidth and locations of ABGs can be effectively manipulated by controlling the temperature. Considering the softening effect of thermal stresses, the ABG gradually moves to lower frequencies as the temperature increases. Based on this, different degrees of ABG tunability can be achieved by changing the thermal environment to propagate or suppress acoustic waves of different frequencies. This work provides the possibility for PMs to realize intelligent regulation of the bandgap. Full article
(This article belongs to the Special Issue Research and Applications of Acoustic Metamaterials)
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19 pages, 6489 KiB  
Article
Additive Manufacturing, Numerical and Experimental Analyses for Pentamode Metamaterials
by Panagiotis N. Lymperopoulos, Efstathios E. Theotokoglou, Dimitrios Dragatogiannis, Dimitrios Karalekas and Constantina Matsika-Klossa
Infrastructures 2024, 9(10), 172; https://doi.org/10.3390/infrastructures9100172 - 29 Sep 2024
Viewed by 1265
Abstract
Pentamodes are lattice structures composed of beams. Their main property is the low ratio of the shear to bulk modulus, making them suitable for aerospace, antiseismic, and bioengineering applications. At first, in our study, pentamode structures were fabricated using three-dimensional printing and were [...] Read more.
Pentamodes are lattice structures composed of beams. Their main property is the low ratio of the shear to bulk modulus, making them suitable for aerospace, antiseismic, and bioengineering applications. At first, in our study, pentamode structures were fabricated using three-dimensional printing and were tested in a laboratory. Then, computational analyses of bulk strength have been performed. In addition, several preliminary computational analyses have been considered, comparing different pentamodes’ dimensions and topologies in order to understand their behaviour under different loading conditions. Experimental results have been compared with the numerical results in order to validate the forces applied to the lattice structures. Our new contribution is that for the first time, the experimental and numerical results are investigated up to the failure of the specimens, the effective Young’s modulus has been calculated for different pentamode lattice structures, and our results are also compared with analytical equations. Full article
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28 pages, 10351 KiB  
Review
Two-Dimensional Pentamode Metamaterials: Properties, Manufacturing, and Applications
by Chuang Zhou, Qi Li, Xiaomei Sun, Zifei Xiao and Haichao Yuan
Crystals 2024, 14(6), 521; https://doi.org/10.3390/cryst14060521 - 30 May 2024
Cited by 2 | Viewed by 1990
Abstract
Metamaterials are artificial materials with properties depending mainly on their designed structures instead of their materials. Pentamode metamaterials are one type of metamaterial. They have solid structures with fluid-like properties, which can only withstand compressive stresses, not shear stresses. Two-dimensional pentamode metamaterials are [...] Read more.
Metamaterials are artificial materials with properties depending mainly on their designed structures instead of their materials. Pentamode metamaterials are one type of metamaterial. They have solid structures with fluid-like properties, which can only withstand compressive stresses, not shear stresses. Two-dimensional pentamode metamaterials are easier to manufacture than three-dimensional models, so they have received wide attention. In this review, the properties, manufacturing, and applications of two-dimensional pentamode metamaterials will be discussed. Their water-like properties are their most important properties, and their velocities and anisotropy can be designed. They can be processed by wire-cut electrical discharge machining, waterjet cutting, and additive manufacturing techniques. They have a broad application prospect in acoustic fields such as acoustic stealth cloaks, acoustic waveguides, flat acoustic focusing lenses, pentamode acoustic meta-surfaces, etc. Full article
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18 pages, 10546 KiB  
Article
Broadband Waterborne Multiphase Pentamode Metastructure with Simultaneous Wavefront Manipulation and Energy Absorption Capabilities
by Yi An, Han Zou and Aiguo Zhao
Materials 2023, 16(14), 5051; https://doi.org/10.3390/ma16145051 - 17 Jul 2023
Cited by 4 | Viewed by 1650
Abstract
Acoustic metastructures are artificial structures which can manipulate the wavefront in sub-wavelength dimensions, and previously proposed acoustic metastructures have been mostly realized with single materials. An acoustic metastructure with composite structure is proposed for underwater acoustic stealth considering both wavefront manipulation and sound [...] Read more.
Acoustic metastructures are artificial structures which can manipulate the wavefront in sub-wavelength dimensions, and previously proposed acoustic metastructures have been mostly realized with single materials. An acoustic metastructure with composite structure is proposed for underwater acoustic stealth considering both wavefront manipulation and sound absorption. The unit cells of the metastructure are composed of a metallic supporting lattice, interconnecting polymer materials and mass balancing columns. With the gradual modulations of equivalent physical properties along the horizontal direction of metastructure, the incident acoustic wave is reflected to other directions. Meanwhile, the polymer material inside the unit cells will dissipate the acoustic wave energy due to inherent damping properties. With the simultaneous modulations of reflected wave direction and scattering acoustic amplitude, significant improvement of the underwater stealth effect is achieved. Compared with single-phase metastructure, the Far-Field Sound Pressure Level (FFSPL) of multiphase metastructure decreases by 4.82 dB within the frequency range of 3 kHz~30 kHz. The linearized mean stress for multiphase metastructure is only 1/3 of that of single-phase metastructure due to it having much thicker struts and much more uniform stress distribution under the same hydrostatic pressure. The proposed composite structure possesses potential applications due to its acceptable thickness (80 mm) and low equivalent density (1100 kg/m3). Full article
(This article belongs to the Special Issue Advances in Metamaterials and Metasurface)
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17 pages, 3809 KiB  
Article
Parametric Analysis and Multi-Objective Optimization of Pentamode Metamaterial
by Zhen Zou, Fengxiang Xu, Yuxiong Pan, Xiaoqiang Niu, Tengyuan Fang and Chao Zeng
Sustainability 2023, 15(4), 3421; https://doi.org/10.3390/su15043421 - 13 Feb 2023
Cited by 4 | Viewed by 2143
Abstract
Pentamode metamaterial (PM) has enormous application potential in the design of lightweight bodies with superior vibration and noise-reduction performance. To offer systematic insights into the investigation of PMs, this paper studies the various effects (i.e., unit cell arrangement, material, and geometry) on bandgap [...] Read more.
Pentamode metamaterial (PM) has enormous application potential in the design of lightweight bodies with superior vibration and noise-reduction performance. To offer systematic insights into the investigation of PMs, this paper studies the various effects (i.e., unit cell arrangement, material, and geometry) on bandgap properties through the finite element method (FEM). With regards to the influences of unit cell arrangements on bandgap properties, the results show that the PM with triangular cell arrangement (PMT) possesses better bandgap properties than the others. The effects of material and geometry on bandgap properties are then explored thoroughly. In light of the spring-mass system theory, the regulation mechanism of bandgap properties is discussed. Multi-objective optimization is conducted to further enhance the bandgap properties of PMT. Based on the Latin hypercube design and double-points infilling, a high-accuracy Kriging model, which represents the relationship between the phononic bandgap (PBG), single mode phononic bandgap (SPBG), double-cone width, and node radius, is established to seek the Pareto optimal solution sets, using the non-dominated sorting genetic algorithm (NSGA-II). A fitness function is then employed to obtain the final compromise solution. The PBG and total bandgap of PMT are widened approximately 2.2 and 0.27 times, respectively, while the SPBG is narrowed by about 0.51 times. The research offers important understanding for the investigation of PM with superior acoustic regulation capacity. Full article
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11 pages, 5950 KiB  
Article
Elastic Metamaterials of Hexagonal Unit Cells with Double-Cone Arms from Pentamode to Band Gap at Low Frequencies
by Qi Li and Mingquan Zhang
Crystals 2022, 12(5), 604; https://doi.org/10.3390/cryst12050604 - 25 Apr 2022
Cited by 5 | Viewed by 2159
Abstract
Metamaterials are artificial materials with properties that can be designed by man-made structures. Pentamode metamaterials only support compressional stresses at specific frequency ranges, and a band gap is a frequency range where no stresses are supported. In this paper, an elastic metamaterial with [...] Read more.
Metamaterials are artificial materials with properties that can be designed by man-made structures. Pentamode metamaterials only support compressional stresses at specific frequency ranges, and a band gap is a frequency range where no stresses are supported. In this paper, an elastic metamaterial with hexagonal unit cells is studied where pentamode bands or band gaps at low frequencies are obtained by varying the inner structures. The effects of structural and geometric parameters on the band width of pentamode bands or band gaps are analyzed. Simulations of materials composed of primitive cells with pentamode or band gap properties are conducted with harmonic stimulation based on the finite element method. The metamaterials can be applied as pentamode metamaterials or vibration isolation materials. Full article
(This article belongs to the Special Issue Advances in Phononic Crystals and Elastic Metamaterials)
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15 pages, 5274 KiB  
Article
Two-Dimensional Composite Acoustic Metamaterials of Rectangular Unit Cell from Pentamode to Band Gap
by Qi Li, Ke Wu and Mingquan Zhang
Crystals 2021, 11(12), 1457; https://doi.org/10.3390/cryst11121457 - 25 Nov 2021
Cited by 10 | Viewed by 2570
Abstract
Pentamode metamaterials have been receiving an increasing amount of interest due to their water-like properties. In this paper, a two-dimensional composite pentamode metamaterial of rectangular unit cell is proposed. The unit cells can be classified into two groups, one with uniform arms and [...] Read more.
Pentamode metamaterials have been receiving an increasing amount of interest due to their water-like properties. In this paper, a two-dimensional composite pentamode metamaterial of rectangular unit cell is proposed. The unit cells can be classified into two groups, one with uniform arms and the other with non-uniform arms. Phononic band structures of the unit cells were calculated to derive their properties. The unit cells can be pentamode metamaterials that permit acoustic wave travelling or have a total band gap that impedes acoustic wave propagation by varying the structures. The influences of geometric parameters and materials of the composed elements on the effective velocities and anisotropy were analyzed. The metamaterials can be used for acoustic wave control under water. Simulations of materials with different unit cells were conducted to verify the calculated properties of the unit cells. The research provides theoretical support for applications of the pentamode metamaterials. Full article
(This article belongs to the Special Issue Recent Advances in Phononic Crystals and Acoustic Metamaterials)
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33 pages, 28519 KiB  
Article
A Generalized Strain Energy-Based Homogenization Method for 2-D and 3-D Cellular Materials with and without Periodicity Constraints
by Ahmad I. Gad and Xin-Lin Gao
Symmetry 2021, 13(10), 1870; https://doi.org/10.3390/sym13101870 - 4 Oct 2021
Cited by 4 | Viewed by 2593
Abstract
A generalized strain energy-based homogenization method for 2-D and 3-D cellular materials with and without periodicity constraints is proposed using Hill’s Lemma and the matrix method for spatial frames. In this new approach, the equilibrium equations are enforced at all boundary and interior [...] Read more.
A generalized strain energy-based homogenization method for 2-D and 3-D cellular materials with and without periodicity constraints is proposed using Hill’s Lemma and the matrix method for spatial frames. In this new approach, the equilibrium equations are enforced at all boundary and interior nodes and each interior node is allowed to translate and rotate freely, which differ from existing methods where the equilibrium conditions are imposed only at the boundary nodes. The newly formulated homogenization method can be applied to cellular materials with or without symmetry. To illustrate the new method, four examples are studied: two for a 2-D cellular material and two for a 3-D pentamode metamaterial, with and without periodic constraints in each group. For the 2-D cellular material, an asymmetric microstructure with or without periodicity constraints is analyzed, and closed-form expressions of the effective stiffness components are obtained in both cases. For the 3-D pentamode metamaterial, a primitive diamond-shaped unit cell with or without periodicity constraints is considered. In each of these 3-D cases, two different representative cells in two orientations are examined. The homogenization analysis reveals that the pentamode metamaterial exhibits the cubic symmetry based on one representative cell, with the effective Poisson’s ratio v¯ being nearly 0.5. Moreover, it is revealed that the pentamode metamaterial with the cubic symmetry can be tailored to be a rubber-like material (with v¯ 0.5) or an auxetic material (with v¯ < 0). Full article
(This article belongs to the Special Issue Metamaterials and Symmetry)
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14 pages, 4523 KiB  
Article
Application of Additively Manufactured Pentamode Metamaterials in Sodium/Inconel 718 Heat Pipes
by Longfei Hu, Ketian Shi, Xiaoguang Luo, Jijun Yu, Bangcheng Ai and Chao Liu
Materials 2021, 14(11), 3016; https://doi.org/10.3390/ma14113016 - 2 Jun 2021
Cited by 4 | Viewed by 6093
Abstract
In this study, pentamode metamaterials were proposed for thermal stress accommodation of alkali metal heat pipes. Sodium/Inconel 718 heat pipes with and without pentamode metamaterial reinforcement were designed and fabricated. Then, these heat pipes were characterized by startup tests and thermal response simulations. [...] Read more.
In this study, pentamode metamaterials were proposed for thermal stress accommodation of alkali metal heat pipes. Sodium/Inconel 718 heat pipes with and without pentamode metamaterial reinforcement were designed and fabricated. Then, these heat pipes were characterized by startup tests and thermal response simulations. It was found that pentamode metamaterial reinforcement did not affect the startup properties of sodium/Inconel 718 heat pipes. At 650–950 °C heating, there was a successful startup of heat pipes with and without pentamode metamaterial reinforcement, displaying uniform temperature distributions. A further simulation indicated that pentamode metamaterials could accommodate thermal stresses in sodium/Inconel 718 heat pipes. With pentamode metamaterial reinforcement, stresses in the heat pipes decreased from 12.9–62.1 to 10.2–52.4 MPa. As a result, sodium/Inconel 718 heat pipes could be used more confidently. This work was instructive for the engineering application of alkali metal heat pipes. Full article
(This article belongs to the Special Issue Material Design and Defect Control for Metal Additive Manufacturing)
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8 pages, 1429 KiB  
Article
Stiffer, Stronger and Centrosymmetrical Class of Pentamodal Mechanical Metamaterials
by Yan Huang, Xiaozhe Zhang, Muamer Kadic and Gongying Liang
Materials 2019, 12(21), 3470; https://doi.org/10.3390/ma12213470 - 23 Oct 2019
Cited by 17 | Viewed by 3177
Abstract
Pentamode metamaterials have been used as a crucial element to achieve elastical unfeelability cloaking devices. They are seen as potentially fragile and not simple for integration in anisotropic structures due to a non-centrosymmetric crystalline structure. Here, we introduce a new class of pentamode [...] Read more.
Pentamode metamaterials have been used as a crucial element to achieve elastical unfeelability cloaking devices. They are seen as potentially fragile and not simple for integration in anisotropic structures due to a non-centrosymmetric crystalline structure. Here, we introduce a new class of pentamode metamaterial with centrosymmetry, which shows better performances regarding stiffness, toughness, stability and size dependence. The phonon band structure is calculated based on the finite element method, and the pentamodal properties are evaluated by analyzing the single band gap and the ratio of bulk and shear modulus. The Poisson’s ratio becomes isotropic and close to 0.5 in the limit of small double-cone connections. Stability and scalability analysis results show that the critical load factor of this structure is obviously higher than the classical pentamode structure under the same static elastic properties, and the Young’s modulus gradually converges to a stable value (the infinite case) with an increasing number of unit cells. Full article
(This article belongs to the Special Issue Advances in Mechanical Metamaterials)
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