Auxetics and Other Systems with Unusual Characteristicsстатья из журнала
Аннотация: This is the fifteenth volume of Physica Status Solidi B focussed on materials and models showing negative Poisson's ratio (PR), which are often called auxetics, and other systems of unusual, e.g., "negative", characteristics.[1] This time it contains 19 papers which are grouped into three sections. The first two of them are devoted to macroscopic and microscopic auxetics, respectively. In the third section, other systems of unusual characteristics are presented. The volume starts with the paper by Roderic S. Lakes, Ballard Huey, and Karan Goyal in which the authors consider Poisson's ratio in chiral Cosserat elastic solids. They conclude that chirality allows Poisson's ratio to exceed the well-known classical bounds for isotropic systems, i.e., PR can be greater than 0.5 or smaller than −1 for slender chiral specimens.[2] In the second paper of this volume Krzysztof K. Dudek, Julio A. Iglesias Martínez, and Muamer Kadic propose a novel hierarchical mechanical metamaterial that is composed of re-entrant truss-lattice elements. It is shown that this system can exhibit a very rich spectrum of the auxetic behavior and frequencies of waves that can be transmitted through the system. It is clearly demonstrated that very small changes in design of the studied systems result in significantly different properties. Some possible applications of the investigated metamaterials are also mentioned.[3] The third article, by James N. Grima-Cornish, Daphne Attard, Liana Vella-Żarb, Joseph N. Grima, and Kenneth E. Evans, concerns novel mechanical metamaterials inspired by single crystal boron arsenate. The structure is built at the macroscale and investigated through finite element simulations. The investigations suggest that already existing materials can prove to be a very useful source of information for the design of novel mechanical metamaterials.[4] Samuel E. Williams, Qicheng Zhang, Charles de Kergariou, and Fabrizio Scarpa investigate sets of pristine and auxetic open cell polyurethane foams subjected to a broad range of relative humidity conditioning at room temperature. The foams have been subjected to quasi-static compressive cyclic loading, as well as vibration transmissibility tests. The rusults obtained indicate the complexity of the interaction between the foams architecture and absorption/desorption mechanisms occurring in the studied materials.[5] An auxetic metamaterial of structure inspired by an Aztec geometric pattern is designed by Teik-Cheng Lim who combines rotating rigid units of two different shapes. Special springs were used to control the rotation of rigid units forming the material. The author analytically calculated the on-axes Poisson's ratios and Young's moduli of the structure.[6] Three bi-material cellular models with various radii of ligament curvature were analyzed by Yun-Che Wang, Kai-Wen Tan, Tsai-Wen Ko, and Tse-Chun Liao using finite element numerical analysis to study their auxeticity and negative thermal expansion. It was found that when the radius of ligament curvature increases, auxeticity is less pronounced. Positive and negative thermal expansion could be tuned solely by the coefficients of thermal expansion of ligaments' constituents. These and other findings here may serve as foundations for future quantitative design of cellular materials.[7] An experimental investigation of an accordion-like system with embedded magnetic inclusion was carried out by Russell Galea, Pierre-Sandre Farrugia, Krzysztof K. Dudek, Louis Zammit Mangion, Joseph N. Grima, and Ruben Gatt. It was shown that stacking of the accordion-like system leads to the formation of hexagonal honeycombs that can have a negative, zero, or positive Poisson's ratio. The configurations of the system depend on the relative positioning of the magnetic inclusions and the applied magnetic field. Moreover, their behavior can be altered in real time.[8] Prateek Verma, Karla B. Wagner, Anselm C. Griffin, and Meisha L. Shofner examine in their paper the reversibility of the out-of-plane auxetic response in previously studied polyester fiber needle-punched nonwovens. They identify possible reversible and irreversible structural deformations leading to thickness changes of the studied materials.[9] Sai Bao, Xin Ren, Yu Jun Qi, Hao Ran Li, Dong Han, Wei Li, Chen Luo, and Zhong Zheng Song obtained an auxetic material with energy absorption capacity improved by adding two curved ribs to the conventional re-entrant honeycomb structure. By applying experimental studies and numerical simulation the authors expect applications of their material in civil engineering, vehicle crashworthiness, and protective infrastructure.[10] A parametric computational model of a 3D auxetic axisymmetric chiral structure was optimized by Nejc Novak, Michał Nowak, Matej Vesenjak, and Zoran Ren. They obtained a spatially graded structure with one of the highest specific energy absorption values in the strut-based metamaterial class. The authors expect future crash absorption applications of the optimized structure.[11] In the next paper, Huiming Sun, Hanting Zhou, Jiangfan Zhang, Liangmo Wang, and Tao Wang propose and study an auxetic structure which they call the double-V negative PR-filled square tube. Using the finite element method, the authors conclude that by adjusting parameters of the studied structure one can obtain an excellent energy absorbing device.[12] Haitao Liu, Fuguang Ren, and Xiaojia Li designed a single phase multiple re-entrant star-shaped honeycomb. Their numerical simulations showed that the structure (which can be auxetic one) exhibits three band gaps and negative effective mass density and negative effective modulus within a certain frequency range. By adjusting the geometry parameters of the structure, the dispersion curves and band gap distribution can be tuned simultaneously.[13] This section is closed by a review article in which Danish Tahir, Minglonghai Zhang, and Hong Hu are focused on applications of auxetic materials for personal protection. The authors discuss reduction of injury probability and some ideas which can further benefit protection products.[14] In their article, Darryl Gambin, Krzysztof K. Dudek, Miroslaw R. Dudek, Joseph N. Grima, and Ruben Gatt employed first principles density functional simulations to show that the CO2-II single crystal has the potential to exhibit off-axis auxetic behavior in the (010) and (001) plane. The results obtained suggest that the auxeticity of CO2-II may be the result of the interplay between rotations and distortions of the system.[15] Jakub W. Narojczyk, Konstantin V. Tretiakov, and Krzysztof W. Wojciechowski studied the face centered cubic hard-sphere crystal containing four nanochannel arrays, filled by hard spheres of another diameter and arranged in such a way as to not affect the cubic symmetry of the crystal. The elastic properties of the model were analyzed under different thermodynamic conditions, and for different sizes of both the nanochannels and the inclusion spheres. The studies, performed by Monte Carlo computer simulations in the isothermal-isobaric ensemble, revealed that the auxetic properties of the system can vanish when the diameters of inclusion spheres are greater than the ones forming the matrix f.c.c. crystal and, in the case of the widest nanochannels, also when these diameters are smaller.[16] This section is opened by the article in which Tyler DeValk, Jonah Hestetune, and Roderic S. Lakes study the gyroid lattice which was prepared in chiral and non-chiral forms. The chiral form was observed to exhibit temperature induced twist with direction of twist corresponding to the sense of chirality. This non-classical effect cannot occur in classical thermo-elasticity but is allowable in Cosserat solids.[17] Next, Elena Pasternak and Arcady Dyskin propose a mechanism to control the constriction of elastic rod modulus by lateral compression. The lateral constriction influences the apparent longitudinal stiffness of the rod and can even make it negative. In the latter case there is no wave propagation along the rod. This, amongst other things, opens a way to design materials ensuring vibration isolation.[18] Haifeng Ruan and Dong Li propose a hierarchical acoustic metamaterial with a spider-web-like structure. They used the finite element method and Bloch theorem to study wave propagation of the structure. The results show that the level of the hierarchical structure significantly influences the low-frequency band gaps. It is also shown that the temperature-induced deformations can significantly change the first band gap of the structure.[19] The volume is closed by the paper of Jerzy Smardzewski, Łukasz Krzyżaniak, Krzysztof W. Wojciechowski, Krzysztof Peliński, Konstantin V. Tretiakov, and Jakub W. Narojczyk, who studied the effect of geometric imperfections of a corrugated core made of wood veneers on the stiffness and strength of sandwich panels and the core elasticity modulus. The research, which was carried out in the form of tests of manufactured beams and numerical calculations, demonstrated that geometric imperfections lower the modulus of elasticity and the strength compared with reference panels with an ideal core geometry. However, the average linear elasticity modulus of the panels indicates their excellent construction properties.[20] I would like to thank all the Authors for submitting interesting and valuable papers, the Referees for their time and efforts spent in reviewing the papers, and the Editors of Physica Status Solidi B for processing the manuscripts of my co-authorship and for helping me in solving various technical problems. Special thanks are due to Emeritus Professor Dr. William Graham Hoover (Ruby Valley, NV, USA) and Members of my Group at the Institute of Molecular Physics of the Polish Academy of Sciences (Poznań, Poland) for their help. I am also grateful for the support and help obtained from the Authorities of Poznań Supercomputing and Networking Center. This work was partially supported by the National Science Centre, Poland - grant 2017/27/B/ST3/02955.
Год издания: 2022
Авторы: Krzysztof W. Wojciechowski
Издательство: Wiley
Источник: physica status solidi (b)
Ключевые слова: Cellular and Composite Structures, Advanced Materials and Mechanics, Polymer composites and self-healing
Открытый доступ: bronze
Том: 259
Выпуск: 12