Qian Cheng (, ), Weida Kang (, ), Hanzhi Ma (, ), Zhijian Wang (, ), Xudong Liang (, )
{"title":"Inverse design of smart mechanical metamaterials based on liquid crystal elastomers","authors":"Qian Cheng \u0000 (, ), Weida Kang \u0000 (, ), Hanzhi Ma \u0000 (, ), Zhijian Wang \u0000 (, ), Xudong Liang \u0000 (, )","doi":"10.1007/s10409-024-24622-x","DOIUrl":"10.1007/s10409-024-24622-x","url":null,"abstract":"<div><p>Liquid crystal elastomers (LCEs) are advanced materials characterized by their rubber-like hyperelasticity and liquid crystal phase transitions, offering exceptional mechanical properties. The development of smart mechanical metamaterials (SMMs) from LCEs expands the potential for controlling mechanical responses and achieving nonlinear behaviors not possible with traditional metamaterials. However, the challenge lies in managing the interplay between nonlinear material responses and structural complexity, making the inverse design of LCE-based SMMs exceptionally demanding. In this paper, we introduce a design framework for LCE smart mechanical metamaterials that leverages neural networks and evolution strategies (ES) to optimize designs with nonlinear mechanical responses. Our approach involves constructing a flexible, unit-cell-based metamaterial model that integrates the soft elastic behavior and thermo-mechanical coupling of LCEs. The combination of microscopic liquid crystal molecule rotation and macroscopic block rotation enables highly tunable and nonlinear mechanical behaviors, of which the precise inverse design of stress-stretch responses is obtained via neural networks combined with ES. In addition, stimuli responses in the liquid crystal elastomers enable real-time adaptability and achieve tailored stress plateaus that are not possible with traditional metamaterials. Our findings provide new pathways in the design and optimization of advanced materials in flexible electronic devices, intelligent actuators, and systems for energy absorption and dissipation.\u0000</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"41 9","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144914484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Experimental and numerical investigation on the evolution of Taylor-Quinney coefficient in 42CrMo steel","authors":"Wei Qi \u0000 (, ), Longkang Li \u0000 (, ), Shengxin Zhu \u0000 (, ), Jianguo Li \u0000 (, ), Manxi Chen \u0000 (, ), Qinglei Zeng \u0000 (, ), Hao-Sen Chen \u0000 (, )","doi":"10.1007/s10409-025-24783-x","DOIUrl":"10.1007/s10409-025-24783-x","url":null,"abstract":"<div><p>42CrMo steel was studied in this paper on its thermomechanical behavior when subjected to dynamic compression, utilizing in-situ dynamic tests and crystal plasticity finite element method (CPFEM) simulations. A split Hopkinson pressure bar, combined with high-speed infrared thermography, was employed to simultaneously record the mechanical response and corresponding temperature evolution, enabling the derivation of the Taylor-Quinney coefficient (TQC). To explore the impact of texture orientation on thermomechanical behavior, a dislocation density-based CPFEM model was applied to analyze the plastic deformation process. The findings demonstrate a satisfactory consistency between numerical predictions and experimental results achieved by the dislocation density-based CPFEM. Simulations of four typical textures demonstrated that texture, through changes in the activated slip systems, significantly influences the evolution of the TQC. These findings contribute valuable insights to the TQC database, enhancing our understanding of material behavior under dynamic loading conditions.\u0000</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 5","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yuan Zhang (, ), Suli Ma (, ), Wu Xu (, ), Liang Zhang (, ), Hong Xu (, ), Mengxin Ma (, ), Zhiyuan Wu (, ), Boyang Lv (, ), Xiaohu Liu (, )
{"title":"A systematic study on the energy absorption performance of plate-lattices: performance, design, and optimization","authors":"Yuan Zhang \u0000 (, ), Suli Ma \u0000 (, ), Wu Xu \u0000 (, ), Liang Zhang \u0000 (, ), Hong Xu \u0000 (, ), Mengxin Ma \u0000 (, ), Zhiyuan Wu \u0000 (, ), Boyang Lv \u0000 (, ), Xiaohu Liu \u0000 (, )","doi":"10.1007/s10409-025-24493-x","DOIUrl":"10.1007/s10409-025-24493-x","url":null,"abstract":"<div><p>The energy absorption performance (EAP) of plate-lattices was systematically investigated, both independently and when applied to square-tube filling. Based on this, an optimization design model for the crashworthiness of lattice-filled structures was established. The results indicate that among the three basic plate-lattices, the FCC has the best overall EAP. When subjected to three-point bending loads, the curvature of thin-walled tubes and the number of filling cells do not significantly enhance EAP; increasing the wall thickness can improve the specific energy absorption (SEA), but wall thickness has a significant impact on the peak crushing force (PCF)—as the wall thickness increases, the PCF also increases; increasing the relative density can enhance both SEA and PCF, but its energy absorption stability (EAS) initially improves and then weakens. When considering density distribution, placing more material in the middle part of the structure results in better EAP. Under axial loads, curved-tubes have lower SEA and poorer EAS compared to straight-tubes; when considering oblique loading, smaller tilt angles have less impact on the EAP; increasing the number of cells reduces the EAP but can improve EAS. Additionally, the optimization model proposed in this paper can significantly enhance the EAP of the designed structure.\u0000</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 7","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A dynamic topology optimization method considering the viscoelastic material degradation based on the entropy-degradation theorem","authors":"Ziyu Liang \u0000 (, ), Huanhuan Gao \u0000 (, ), Zhongshan Yao \u0000 (, ), Guikai Guo \u0000 (, )","doi":"10.1007/s10409-025-24816-x","DOIUrl":"10.1007/s10409-025-24816-x","url":null,"abstract":"<div><p>In this paper, we propose a new structural dynamic topology optimization method based on the solid isotropic material with a penalization model for the viscoelastic material considering the viscoelastic material degradation. In our research scheme, the material degradation constraint is derived to be handled as the dissipation energy upper limit constraint under two assumptions based on entropy-degradation. The finite element method is employed to obtain the structural displacement and velocity fields. Then, the adjoint variable method is brought up to derive the sensitivities of the structural dynamic compliance and the overall dissipation energy with respect to the design variables. Finally, the pseudo density design variables are optimized with the method of moving asymptotes to yield the minima of dynamic compliance. Three numerical examples with different load-cases are carried out to illustrate the validity and the stability of the proposed method, and the obtained structural topology patterns, together with the structural performance functions, are compared with those yielded without the dissipation energy constraints. In the discussion part, the influences of the volume fraction and the dissipation energy constraint values on both of the final structural topology patterns and the objective function are numerically investigated and discussed.</p></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 6","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144909808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Junwei Liu (, ), Xin Huang (, ), Xianfeng Zhang (, ), Chuang Liu (, ), Zhou Huang (, ), Pengcheng Li (, ), Qiang Sheng (, )
{"title":"Deformation and perforation of thin metal plate under normal penetration of elliptical cross-section projectiles","authors":"Junwei Liu \u0000 (, ), Xin Huang \u0000 (, ), Xianfeng Zhang \u0000 (, ), Chuang Liu \u0000 (, ), Zhou Huang \u0000 (, ), Pengcheng Li \u0000 (, ), Qiang Sheng \u0000 (, )","doi":"10.1007/s10409-024-24551-x","DOIUrl":"10.1007/s10409-024-24551-x","url":null,"abstract":"<div><p>In this study, the penetration experiments on thin metal plates with four elliptical cross-section projectiles (ECSPs) were carried out to explore the deformation and perforation of target under the normal penetration. The projectiles were launched by the 40 mm air gun with impact velocities ranged from 200 to 350 m/s and the residual velocities of projectiles were experimentally obtained. The experimental results showed that the shape ratio of the ECSP had a great influence on the deformation characteristics of the target. In addition, Strain sensors were arranged on the impact surface of the metal plate to capture the dynamic deformation during penetration. The correlation between the peak value of the strain signal and its variation with the azimuth angle, the mean square deviation of the peak value, etc. were analysed in detail. Besides, the correlation numerical simulation was conducted to better understand the response characteristics of target and the accuracy of the numerical simulation method was verified by the above experimental results. The similarities and differences of deformation and damage characteristics of targets under different projectiles were analyzed by comparing the radial displacement and radial/tangential stress of targets. The results showed that for ECSPs, the stress in each direction was closely related to shape ratio and circumferential angle. The target was subjected to the coupling of compression and shear stress, which was greatly different from the result of circular cross section projectile.</p></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 8","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Quanyu Jiang (, ), Zheng Hu (, ), Zishang Liu (, ), Yizhe Liu (, ), Jiayi Zheng (, ), Yi Liu (, ), Yanpeng Wei (, ), Chengyuan Shang (, ), Bingchen Wei (, ), Kun Zhang (, )
{"title":"Damage characteristics of CFRP laminate upon hypervelocity impact","authors":"Quanyu Jiang \u0000 (, ), Zheng Hu \u0000 (, ), Zishang Liu \u0000 (, ), Yizhe Liu \u0000 (, ), Jiayi Zheng \u0000 (, ), Yi Liu \u0000 (, ), Yanpeng Wei \u0000 (, ), Chengyuan Shang \u0000 (, ), Bingchen Wei \u0000 (, ), Kun Zhang \u0000 (, )","doi":"10.1007/s10409-025-24621-x","DOIUrl":"10.1007/s10409-025-24621-x","url":null,"abstract":"<div><p>This study examines the evolution of damage morphology in carbon fiber reinforced plastic (CFRP) laminate under hypervelocity impact by an 8 mm aluminum projectile. Three failure patterns of the projectile are observed, with the projectile being intact, ruptured, or smashed at different velocities. Additionally, the time-frequency spectrum also reveals three distinct modes: initially showing a rising double peak, transitioning to a monotonically decreasing double peak, and eventually culminating in an isolated single peak as the velocity increases. The first peak in the discrete wavelet transformation frequency spectrum may be associated with an initial shear failure upon penetration into the CFRP laminate, while the second peak may be associated with subsequent fiber breakage behind the target. These findings provide valuable information for engineering robust defense structures and assessing damage scenarios in spacecraft.</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 6","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Energy absorption and failure mechanisms of nacre-like structure under low/high-velocity impact loading: a numerical study","authors":"Weitao Gao \u0000 (, ), Zihao Wang \u0000 (, ), Kefeng Peng \u0000 (, ), Kehong Wang \u0000 (, ), Qi Zhou \u0000 (, ), Zhijun Zheng \u0000 (, )","doi":"10.1007/s10409-024-24560-x","DOIUrl":"10.1007/s10409-024-24560-x","url":null,"abstract":"<div><p>Nacre-like structures exhibit excellent mechanical properties under low-velocity impact, but the effectiveness of the nacre-like designs under high-velocity impact remains unclear. In this study, the process of a spherical projectile impacting on a nacre-like plate over a wide range of velocities is simulated using the finite element method. A three-dimensional finite element model is constructed and validated against the test data of the target perforation in terms of residual velocity and fracture morphology. The effects of impact velocity, interface strengths, and geometric sizes on the impact resistance capabilities are systematically investigated, and a dimensionless geometrical parameter is proposed to reveal the mechanism affecting the fracture toughness of nacre-like materials. It is found that the impact resistance of the nacre-like material gradually weakens with impact velocity increasing and is inferior to that of homogeneous plates under high-velocity impact. Moreover, the fracture toughness of nacre-like materials depends on the competition mechanism between interfacial enhancement and strength weakening at different impact velocities. These findings provide significant guidance on applying bio-inspired structures to design protective materials.\u0000</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"41 12","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Aijie Tang (, ), Qingsheng Yang (, ), Junjie Liu (, )
{"title":"Buckling-induced metamaterials with one-way zero Poisson’s ratio","authors":"Aijie Tang \u0000 (, ), Qingsheng Yang \u0000 (, ), Junjie Liu \u0000 (, )","doi":"10.1007/s10409-025-24833-x","DOIUrl":"10.1007/s10409-025-24833-x","url":null,"abstract":"<div><p>Researchers have achieved remarkable control over material properties by designing novel architectures, particularly for tuning Poisson’s ratio. Despite abundant existing approaches, significant design space remains unexplored. This work presents two metamaterial designs exhibiting directionally dependent zero Poisson’s ratio, i.e., one-way zero Poisson’s ratio. In other loading directions, these metamaterials display positive or negative Poisson’s ratio. This selectivity stems from a mode switching mechanism between “unbuckling” and “buckling” of well-designed members within the metamaterials. Theoretical analysis reveals the conditions governing this mode switch, numerical simulation and experiments confirm the one-way Poisson’s effect. Furthermore, the high stiffness contrast within these buckling-prone members yields a pronounced asymmetry in equivalent moduli of the metamaterials under tension and compression, breaking the inherent symmetry of the elastic matrix of conventional materials. This asymmetry is then exploited to design metamaterial beams with asymmetric bending stiffness. Our findings and the design strategy presented here pave the way for developing advanced metamaterials with previously unattainable and unexpected Poisson’s ratios.</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 5","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144888046","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Binying Wang (, ), Jinxing Liu (, ), Naigang Liang (, )
{"title":"Wavelength-dependent strain gradient modeling of two-dimensional lattice metamaterials","authors":"Binying Wang \u0000 (, ), Jinxing Liu \u0000 (, ), Naigang Liang \u0000 (, )","doi":"10.1007/s10409-024-24524-x","DOIUrl":"10.1007/s10409-024-24524-x","url":null,"abstract":"<div><p>A robust generalized continuum model called the wavelength-dependent strain gradient continuum model (WDSGM) has been proposed to predict dispersion properties of two-dimensional (2D) periodic lattice metamaterials. The key idea lies in replacing the classical Taylor expansion of displacement fields with a wavelength-dependent one, naturally leading to new equations of motion and therefore a significantly improved capability of predicting dispersion characteristics. For different 2D lattices, dispersion results derived from the proposed WDSGM are verified by comparing with those obtained from the discrete model and the existing strain gradient continuum model (SGM) in the irreducible Brillouin zone. Based on the proposed model, the effects of SG orders have been investigated. Results suggest that considering the wavelength-dependent Taylor expansion and increasing the SG order are beneficial to improving the predictive performance of continuum models. The proposed model is free of any instability issue which is challenging for many existing SG methods. Under given parameters, the proposed WDSGM with eighth-order truncation is enough to predict the dispersion relation of three lattices, i.e., the square, triangular and hexagonal lattices throughout the irreducible Brillouin zone.\u0000</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"41 9","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jiajun Jiao (, ), Yunhui Sun (, ), Yi An (, ), Qingquan Liu (, ), Xiaoliang Wang (, )
{"title":"Design and calibration of spherical particles with embedded inertial measurement unit: preserving kinematic equivalence","authors":"Jiajun Jiao \u0000 (, ), Yunhui Sun \u0000 (, ), Yi An \u0000 (, ), Qingquan Liu \u0000 (, ), Xiaoliang Wang \u0000 (, )","doi":"10.1007/s10409-025-24749-x","DOIUrl":"10.1007/s10409-025-24749-x","url":null,"abstract":"<div><p>This study presents the design, verification, and calibration of a spherical inertial sensor particle engineered to achieve kinematic equivalence with a solid sphere. Utilizing micro-electro-mechanical systems inertial measurement unit technology, this 40 mm particle is capable of measuring triaxial acceleration up to ±16<i>g</i> (<i>g</i> = 9.81 m/s<sup>2</sup>) and triaxial angular velocity up to ±2000°/s, with a high sampling rate of 1000 Hz sustained over one hour. The sensor particle features a dual-layered spherical structure designed to ensure equivalence in shape, density, center of mass, moment of inertia, and elastic modulus compared to a solid sphere. The performance of the sphere is calibrated and verified with a series of physical experiments. The experiment of the sphere freely sinking in still water confirmed the accuracy of the data measured by the sensor particle and its equivalence to a solid aluminum sphere. This study provides a more representative tool for measuring particle motion information in homogeneous dense granular experiments.\u0000</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":7109,"journal":{"name":"Acta Mechanica Sinica","volume":"42 4","pages":""},"PeriodicalIF":4.6,"publicationDate":"2025-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891472","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}