Article
Chemistry, Physical
Hai-Ning Zhang, Yin Fan, Hui-Shen Shen
Summary: This study analyzed the engineering Poisson's ratio (EPR) and incremental Poisson's ratio (IPR) of single-walled carbon nanotubes (SWCNTs) with different chiral angles and investigated the effect of chirality on rigidity. It was found that SWCNTs with different chiral angles exhibited different mechanical properties in terms of EPR and IPR in tension, compression, longitudinal, and radial directions. The critical strain for auxeticity was also found to be chirality-dependent. Additionally, a method for explaining the negative IPR phenomenon was proposed based on the contribution to radial strain.
Article
Engineering, Mechanical
Amit Rawal, Danvendra Singh, Ashish Rastogi, Sumit Sharma
Summary: This study explores the design principles and analytical methods for achieving negative Poisson's ratio in carbon nanotubes, employing energy minimization, structural modeling, and force-balance as means to target the desired outcome. The research highlights the significant role played by the alignment of carbon nanotubes in augmenting the magnitude of negative Poisson's ratio.
EXTREME MECHANICS LETTERS
(2021)
Review
Engineering, Civil
Rafael Augusto Gomes, Lucas Antonio de Oliveira, Matheus Brendon Francisco, Guilherme Ferreira Gomes
Summary: This paper summarizes the definitions, designs, analyses, optimizations, mechanical properties, and specific applications of various auxetic tubular structures. It highlights the importance of additive manufacturing and numerical analysis in manufacturing and analyzing these structures. The purpose of this paper is to provide researchers and engineers with a step-by-step methodology for developing and applying auxetic tubular structures.
THIN-WALLED STRUCTURES
(2023)
Article
Materials Science, Multidisciplinary
Sadeq Malakooti, A. B. M. Shaheen Ud Doulah, Yao Ren, Vijay N. Kulkarni, Rushi U. Soni, Vaibhav A. Edlabadkar, Runyu Zhang, Stephanie L. Vivod, Chariklia Sotiriou-Leventis, Nicholas Leventis, Hongbing Lu
Summary: Shape-memory poly(isocyanurate-urethane) (PIR-PUR) aerogels can return to their permanent shape through heating and exhibit an auxetic effect with a negative Poisson's ratio. This technology has potential applications in medical devices, robotics, and space structures.
ACS APPLIED POLYMER MATERIALS
(2021)
Article
Mechanics
Jianfei Yao, Rujie Sun, Fabrizio Scarpa, Chrystel Remillat, Yu Gao, Yongfei Su
Summary: This study investigates the in-plane uniaxial tensile mechanical properties of two-dimensional graded rectangular perforations metamaterials using numerical homogenization finite element approaches benchmarked by experimental results. The metamaterial configuration is based on graded patterns of center-symmetric perforated cells that can exhibit an auxetic behavior. The overall stiffness behavior of the graded perforated metamaterial plates features a higher degree of compliance that depends on both the geometries of the cells of the graded areas and the graded pattern used.
COMPOSITE STRUCTURES
(2021)
Article
Chemistry, Physical
Julian Plewa, Malgorzata Plonska, Pawel Lis
Summary: This paper introduces a failsafe mode in structures made of rigid squares, which exhibit a unique expansion laterally instead of contraction upon stretching. A novel solution for connecting the squares is proposed by introducing axes of rotation on the square's surface. Physical models confirm the theoretical relationships and offer new application possibilities.
Article
Materials Science, Multidisciplinary
V Harinarayana, Y. C. Shin
Summary: In this study, a comprehensive design and fabrication of a three-dimensional axisymmetric auxetic structure that exhibits uniform and axisymmetric transverse deformation under longitudinal compression loading is proposed. The design of the metamaterial is generated by revolving a two-dimensional parabolic curve along the axis of rotation and subsequently perforating the structure periodically with elliptical voids. The significance of the perforations is elucidated by comparing the metamaterial structure to a plain structure.
JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T
(2022)
Article
Polymer Science
Jianqin Wu, Jiannan Zhou, Xinli Kong, Ying Xu, Yishun Chen, Juyan Zhu, Fengnian Jin, Peng Wang
Summary: In this study, a honeycomb cylindrical shell was prepared to overcome the fracture problem of the hexagonal honeycomb during rolling. The honeycomb sandwich tubes (AHSTs) with a variable Poisson's ratio were successfully fabricated and showed excellent mechanical properties as a core for sandwich structures.
Article
Chemistry, Multidisciplinary
Olly Duncan, Nicolas Bailly, Tom Allen, Yvan Petit, Eric Wagnac, Andrew Alderson
Summary: This study aimed to measure the effect of strain rate on the stiffness and Poisson's ratio of auxetic and conventional foams. The results showed that the Poisson's ratio of auxetic foams halved at high strain rates, while the Young's moduli of conventional foam approximately doubled at the highest applied strain rate.
APPLIED SCIENCES-BASEL
(2021)
Article
Instruments & Instrumentation
Peng Fan, Yu Chen, Jian Xiong, Hong Hu
Summary: This paper presents a novel hybrid auxetic structure with enhanced mechanical properties by combining different structural forms. Through parameterized study, the geometric parameters of the hybrid structure are optimized to further improve its performance. The research results provide guidance for the optimized design of hybrid auxetic structures in practical applications.
SMART MATERIALS AND STRUCTURES
(2022)
Article
Mechanics
Krishna Prasath Logakannan, Velmurugan Ramachandran, Jayaganthan Rengaswamy, Dong Ruan
Summary: In this work, a new auxetic structure with rigid diamonds was designed to enhance the strength and symmetry of a star-shaped auxetic structure. The new structure showed better specific plateau stress and the Poisson's ratio can be adjusted by changing the angle of inclined members, as revealed by experimental and theoretical analysis.
COMPOSITE 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
Tanmoy Mukhopadhyay, Diptiman Kundu
Summary: Auxetic materials with negative Poisson's ratios have attracted attention for their enhanced mechanical performances. Most of the existing auxetic materials only exhibit auxetic behavior in-plane, limiting their applications in 3D systems and devices. This study proposes 3D connected double loop microstructures that can achieve auxetic behavior both in-plane and out-of-plane directions.
ADVANCED ENGINEERING MATERIALS
(2022)
Article
Engineering, Mechanical
Anis Hamrouni, Jean-Luc Rebiere, Abderrahim El Mahi, Moez Beyaoui, Mohamed Haddar
Summary: This study investigates the static properties of architectural cores and the dynamic behavior of sandwich structures using an auxetic or non-auxetic core through experimental and numerical analyses. Three types of architectural cores, including re-entrant, rectangular, and hexagonal honeycombs, were studied with varying densities. Tensile tests were conducted to analyze the influence of core topology and density on Poisson's ratio and Young's modulus. Vibration tests were then performed to study the impact of these structures and their densities on the dynamic properties of sandwiches. The results demonstrate a sensitive behavior of the structural Poisson's ratio to core topology and density.
JOURNAL OF SANDWICH STRUCTURES & MATERIALS
(2023)
Article
Mathematics
Qian Ma, Junhua Zhang
Summary: This paper investigates the nonlinear constitutive relationship of the auxetic honeycomb structure under large deformations, including in-plane stress, in-plane strain, Young's modulus, and Poisson's ratio. The finite element model is established and compared with theoretical calculations, and the influence of geometric parameters on mechanical properties is studied. These results provide a theoretical basis for further study of the auxetic honeycomb sandwich structure and its engineering application.
Article
Materials Science, Multidisciplinary
Valentin A. Gorodtsov, Valentin G. Tkachenko, Dmitry S. Lisovenko
Summary: This study conducted theoretical and numerical analyses on the extreme values of Young's modulus for six and seven-constant tetragonal crystals based on experimental data, revealing their relationship with anisotropy coefficients and characteristics in different crystal structures.
MECHANICS OF MATERIALS
(2021)
Article
Materials Science, Multidisciplinary
Mikhail A. Volkov, Valentin A. Gorodtsov, Egor P. Fadeev, Dmitry S. Lisovenko
Summary: The study shows that tubes with (110) crystal structure are more likely to exhibit auxetic properties, with some tubes having negative values of Poisson's ratios on their cross-sections.
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
(2021)
Article
Crystallography
Denis N. Karimov, Dmitry S. Lisovenko, Anna G. Ivanova, Vadim V. Grebenev, Pavel A. Popov, Natalya L. Sizova
Summary: Bulk c-oriented CeF3 single crystals were successfully grown using the vertical Bridgman technique in a fluorinating atmosphere. The anisotropy of mechanical, thermal, and electrophysical properties were studied for the first time, with maximum values observed in the [0001] direction. The Vickers and Berkovich microhardnesses for different crystallographic planes were investigated, showing higher values for Berkovich and a decrease with increasing load for the hardest plane.
Article
Crystallography
Valentin A. Gorodtsov, Dmitry S. Lisovenko
Summary: This study explores the extreme values of Young's modulus for rhombic crystals and reveals the differences in mechanical properties between different crystal types. Rhombic crystals exhibit significant variations in Young's modulus values, while cubic, tetragonal, and hexagonal crystals display greater rigidity. Furthermore, a classification scheme based on dimensionless parameters is presented for the Young's modulus of rhombic crystals.
Article
Mechanics
Mikhail A. Volkov, Aleksandr Demin, Valentin A. Gorodtsov, Dmitry S. Lisovenko
Summary: The issue of longitudinal tension in a two-layered plate with hexagonal and cubic crystals of different orientations is discussed, with analytical dependencies of effective properties obtained and the variability of these properties analyzed for different crystal combinations. Significant differences were found when one layer was auxetic, with the effective Young's modulus possibly exceeding that of the stiffer layer. The ratio of Young's moduli of crystals had a significant influence on the effective Poisson's ratio, with qualitative and quantitative correspondence found between analytical and numerical results.
COMPOSITE STRUCTURES
(2021)
Article
Physics, Condensed Matter
Valentin A. Gorodtsov, Mikhail A. Volkov, Dmitry S. Lisovenko
Summary: This study provides a theoretical analysis of out-of-plane tension of a thin rectangular two-layered plate of cubic crystals with the same orientation. The analysis reveals that the effective Young's modulus and effective Poisson's ratio of the plate behave differently depending on the ratios of various parameters.
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS
(2021)
Article
Mechanics
A. I. Demin, M. A. Volkov, V. A. Gorodtsov, D. S. Lisovenko
Summary: The results of calculations of the effective Young's modulus of longitudinally stretched two-layered plates made of identically oriented cubic crystals are presented. The analytical dependences between the effective Young's modulus and the Young's moduli and Poisson's ratios of crystals in layers are discussed. Deviations from the rule of mixtures are found and the relationships between the effective Young's moduli and extreme values of the Young's moduli and Poisson's ratios of crystals in layers are established and presented graphically or in tabular form.
MECHANICS OF SOLIDS
(2023)
Article
Multidisciplinary Sciences
Mikhail A. Volkov, Valentin A. Gorodtsov, Dmitry S. Lisovenko
Summary: This study analyzed the longitudinal tension problem of two-layered tubes with walls made of tetragonal crystals. The effective Young's moduli and Poisson's ratios of the tubes were numerically calculated using experimental data on the elastic characteristics of such crystals. The study found that the effective elastic properties of two-layered tubes vary in cases of equal layer thickness, equal volume, and arbitrary thickness. The effective Young's modulus often exceeds the largest Young's modulus of a pair of layers, and the effective Poisson's ratio can be negative, even if the Poisson's ratios are positive in both layers. In other words, an auxetic of the two-layered tube may correspond to a pair of non-auxetics in two layers of this tube.
Article
Mechanics
I. A. Bryukhanov, M. A. Volkov, V. A. Gorodtsov, D. S. Lisovenko
Summary: The study explores the elastic properties of chiral metallic nanotubes rolled up from thin crystal plates with [011] and [111] orientations. It shows that the Poisson's ratio of nanotubes varies with the chiral angle and thickness, with some notable quantitative differences between different chiral metallic nanotubes. The findings are consistent with both anisotropic elasticity theory and molecular statics simulations.
PHYSICAL MESOMECHANICS
(2021)
Article
Mechanics
V. A. Gorodtsov, D. S. Lisovenko
Summary: In the study of the out-of-plane extension of thin two-layered plates of hexagonal crystals within the framework of anisotropic elasticity theory, effective formulas for Young's modulus and Poisson's ratio were obtained, revealing violations of the rule of mixtures. Experimental results showed that effective Young's modulus and effective Poisson's ratio may exceed the original crystal values.
PHYSICAL MESOMECHANICS
(2021)
