{"title":"In-Plane Small-Deformation Equivalent Method for Kinematic Analysis of Tubular Miura-Ori","authors":"Xin Wang, Hui Chen, Xiuteng Ma, Lingyun Yao","doi":"10.1007/s10338-024-00506-3","DOIUrl":"10.1007/s10338-024-00506-3","url":null,"abstract":"<div><p>The tubular Miura-ori (TMO) structure has attracted much attention due to its excellent folding capability and rich application diversity. However, the existing theoretical research on origami structure is overly complex, and kinematic analysis rarely involves bending motion. In the present work, based on geometric kinematics, “equivalent deformation mechanism” is proposed to study the axial and bending motions of TMO under small in-plane deformations. Firstly, the geometric design is studied using the vector expression of creases. To simplify the kinematic analysis of axial motion, TMO deformation is equated to a change in angle. The proposed method is also applicable to bending motion, because both bending and axial motions can be described using similar deformation mechanisms. In addition, the accuracy of the proposed method is validated through numerical analysis, and the error between analytical and numerical solutions is sufficiently small for the folding angle <span>(gamma in left[ {25^circ , 65^circ } right])</span>. Finally, the numerical simulation is validated with mechanical experiments. Results show the effectiveness of the proposed method in describing the kinematic law of TMO structures in a simple way. This research sheds light on the kinematic analysis of other origami structures and establishes a theoretical framework for their applications in aerospace engineering, origami-based metamaterials, and robotics.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 6","pages":"967 - 978"},"PeriodicalIF":2.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141868903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Semi-analytical Model of Maximal First Principal Stress at Mode I Crack Tip","authors":"Simiao Yu, Lixun Cai","doi":"10.1007/s10338-024-00494-4","DOIUrl":"10.1007/s10338-024-00494-4","url":null,"abstract":"<div><p>The first principal stress plays a key role in ductile fracture processes. Investigation of the distribution and evolution of the first principal stress at the crack tip is essential for exploring elastoplastic fracture behaviors. A semi-analytical model was developed in this study to determine the maximal first principal stress at the mode I crack tip with 3D constraints for materials following the Ramberg–Osgood law. The model, based on energy density equivalence and dimensional analysis, was validated through finite element analysis (FEA) of various materials and geometric dimensions of specimens with mode I cracks, under over 100 different types of working conditions. The dimensionless curves of maximal first principal stress versus load, as predicted by the model, agreed well with the FEA results, demonstrating the accuracy and applicability of the model. This research can provide a basis for future theoretical predictions of crack initiation and propagation.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 5","pages":"798 - 811"},"PeriodicalIF":2.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141868746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Qiangang Xu, Yonghui Chen, Kai Pan, Xingwei Xu, Fei Zhao, Kai Guo, Xiaotao Liu, Zhen Zhang
{"title":"Investigation on the Very High Cycle Fatigue Life of Titanium Alloys by Near-β Forging and Shot Peening","authors":"Qiangang Xu, Yonghui Chen, Kai Pan, Xingwei Xu, Fei Zhao, Kai Guo, Xiaotao Liu, Zhen Zhang","doi":"10.1007/s10338-024-00509-0","DOIUrl":"10.1007/s10338-024-00509-0","url":null,"abstract":"<div><p>In order to enhance the fatigue properties of metallic materials, a feasible rationale is to delay or prevent the interior and surface fatigue crack initiation. Based on this rationale, the study investigates the approach of improving the very high cycle fatigue properties of TC6 titanium alloys through near-<i>β</i> forging coupled with shot peening, conducted at 930 ℃ and ambient temperature, respectively. To unveil the associated mechanisms, microstructure, microhardness, residual stress, and fatigue properties are thoroughly analyzed after each process. Results indicate a considerable refinement in microstructure and significant mitigation of the initially existed strong texture post near-<i>β</i> forging and annealing, efficiently delaying crack initiation and propagation. As a result, the very high cycle fatigue property of TC6 achieves remarkable enhancement after forging. Compared to near-<i>β</i> forging, shot peening might not necessarily improve the very high cycle fatigue performance, particularly beyond 10<sup>6</sup> cycles.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 6","pages":"881 - 890"},"PeriodicalIF":2.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141868902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New Insight into the Flexoelectricity in the View of Mechanics of Materials: Prismatic Beams Subjected to Bending","authors":"Xu Yang, Lingling Chen, Shengyou Yang","doi":"10.1007/s10338-024-00495-3","DOIUrl":"10.1007/s10338-024-00495-3","url":null,"abstract":"<div><p>Flexoelectricity is a fascinating electromechanical phenomenon that occurs in non-homogeneously deformed dielectric materials. Unlike piezoelectricity, the flexoelectric effect is highly dependent on both the material scale and the deformation gradient. Although several theoretical models have been proposed to explain the mechanism of flexoelectricity, these models can be rather complicated for those who are interested in studying the topic. This paper aims to simplify the understanding of flexoelectricity by focusing on the bending behavior of a prismatic dielectric beam from a mechanics of material perspective. We avoid using complicated mathematical formulations based on continuum mechanics, including advanced tensor algebra and calculus of variations. Our formulation clearly explains how inhomogeneous deformations and material size affect the electromechanical coupling, changing the effective bending stiffness, deflection, and rotation angles of a bending beam. We hope this paper can help undergraduate students and researchers, who are unfamiliar with the electromechanical coupling in flexoelectricity, to develop an understanding of this phenomenon and encourage further research in this area.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 4","pages":"555 - 569"},"PeriodicalIF":2.0,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141586825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Preface to the Special Issue in Celebration of Professor Shouwen Yu’s 85th Birthday","authors":"Xi-Qiao Feng, Qunyang Li","doi":"10.1007/s10338-024-00496-2","DOIUrl":"10.1007/s10338-024-00496-2","url":null,"abstract":"","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 3","pages":"361 - 362"},"PeriodicalIF":2.0,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141552947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pengcheng Zhao, Zhigang Wang, Xiaojun Zhu, Tingting Wang, Kai Zhang
{"title":"Effect of Tacticity on the Dynamic Response of Chiral Mechanical Metamaterials","authors":"Pengcheng Zhao, Zhigang Wang, Xiaojun Zhu, Tingting Wang, Kai Zhang","doi":"10.1007/s10338-024-00505-4","DOIUrl":"10.1007/s10338-024-00505-4","url":null,"abstract":"<div><p>In this work, a tacticity strategy is proposed to adjust the mechanical properties of chiral mechanical metamaterials for vibration isolation. By applying the finite element method, the impact of tacticity on tensile deformations, band structures, and vibration transmission spectra of chiral metamaterials is investigated. The axial deformations of isotactic configuration and syndiotactic configuration are similar under tensile loads, but rotational deformation occurs in the isotactic configuration. With the same geometric and material parameters, the first band gap of the syndiotactic configuration is lower than that of the isotactic configuration. The vibration suppression performance of chiral mechanical metamaterials is verified by numerical simulations and experiments. Parametric analysis of the band gap provides valuable insights for the manipulation and expansion of vibration reduction. Gradient design based on parametric analysis achieves an extended range of vibration suppression.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 6","pages":"979 - 988"},"PeriodicalIF":2.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ya Zhou, Xu Li, Yuting Zhang, Jian Feng, Jianguo Cai
{"title":"Hysteresis Analysis on Origami Energy Dissipation Braces with Local Miura Units","authors":"Ya Zhou, Xu Li, Yuting Zhang, Jian Feng, Jianguo Cai","doi":"10.1007/s10338-024-00503-6","DOIUrl":"10.1007/s10338-024-00503-6","url":null,"abstract":"<div><p>A local design scheme for origami energy dissipation braces was proposed by combining local Miura units at both ends and a straight segment in the middle. This design was implemented to address the issue of uneven axial stiffness observed in global origami braces. Globally and locally designed origami braces were simulated and compared under cyclic loading to validate the advantages of the proposed design scheme in terms of hysteretic properties. Additionally, an analysis was conducted on the designed braces with varying straight segment lengths, geometric angles, and origami plate thicknesses for comparison. Results indicate that the local design significantly increases the tensile bearing load, enhances the anti-buckling capability, and improves the energy dissipation performance compared to the global design. The positive impact on bearing capacity and energy dissipation performance was observed with increased straight segment length, geometric angles, and origami plate thickness. However, excessively large parameter values result in brace buckling under compression, diminishing energy dissipation capacity.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 5","pages":"700 - 710"},"PeriodicalIF":2.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Enhanced Flexoelectricity in Barium Titanate-Cellulose Composite Thin Films","authors":"Wensi Xing, Hongyu Cao, Xin Zhang, Xu Liang, Jianwei Song, Shengping Shen","doi":"10.1007/s10338-024-00493-5","DOIUrl":"10.1007/s10338-024-00493-5","url":null,"abstract":"<div><p>Biopolymers, the potential flexoelectric materials, are environment-friendly, degradable, lightweight, cost-effective, and possess remarkable processing properties catering to the requirements of advanced devices. However, the flexoelectric coefficient of biopolymers is normally much weaker than that of ceramic materials, limiting their potential applications for designing high-performance green electromechanical coupling devices. To improve the flexoelectric response in biopolymers, we composited barium titanate (BTO) with 2,2,6,6-tetramethylpiperidine-1-oxyl -oxidized cellulose nanofibrils (TOCNF) to enhance the flexoelectric response of TOCNF. Owing to the high permittivity and flexoelectric effect of BTO, the relative dielectric constant and flexoelectric coefficient of 33.3 wt% BTO-TOCNF films reached 30.94 @ 1 kHz and 50.05 ± 1.88 nC/m @ 1 Hz, which were almost 172 times and 27 times higher than those of TOCNF, respectively. The composite thin film contains high dielectric constant and flexoelectric coefficient, as well as excellent flexibility. Our study provided a straightforward and efficient method for improving the flexoelectric effect of biopolymers, and demonstrated its great potential applications in flexoelectric-based devices.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 4","pages":"521 - 527"},"PeriodicalIF":2.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Preface to the “Theory and Applications of Flexoelectricity” Special Issue of Acta Mechanica Solida Sinica","authors":"Qian Deng, Yue Zheng, Shengping Shen","doi":"10.1007/s10338-024-00499-z","DOIUrl":"10.1007/s10338-024-00499-z","url":null,"abstract":"","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 4","pages":"519 - 520"},"PeriodicalIF":2.0,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Total Internal Reflection (TIR) Behavior of Heterogeneous Interface Shear Waves in Layered Soft Structure","authors":"Ming Zhao, Wentao Jiang, Qingyuan Wang, Ying Liang, Haidong Fan, Xiaobao Tian","doi":"10.1007/s10338-024-00497-1","DOIUrl":"10.1007/s10338-024-00497-1","url":null,"abstract":"<div><p>The total internal reflection (TIR) behavior of interface shear waves is crucial for ensuring the reliability of dielectric elastomer (DE) devices. However, due to the complex force-electric coupling and large deformation of DEs, the TIR behavior of shear waves in heterogeneous force-electric interface models is still unclear. This study modeled an elastic/DE bi-material interface to analyze the trajectory of out-of-plane shear waves. Employing Dorfmann and Ogden’s nonlinear electroelastic framework and the related linear small incremental motion theory, a method has been developed to control the TIR behavior of interface shear waves. It has been found that the TIR behavior is significantly influenced by the strain-stiffening effect induced by biasing fields. Consequently, a biasing field principle involving preset electric displacement and pre-stretch has been proposed for TIR occurrence. By controlling the pre-stretch and preset electric displacement, active regulation of TIR behavior can be achieved. These results suggest a potential method for achieving autonomous energy shielding to improve the reliability of DE devices.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 5","pages":"662 - 672"},"PeriodicalIF":2.0,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141511825","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}