{"title":"A Cyclic Constitutive Model Based on Crystal Plasticity for Body-Centered Cubic Cyclic Softening Metals","authors":"Xuehong Ren, Wenjie Zhao, Shaopu Yang, Guilin Wen","doi":"10.1007/s10338-023-00430-y","DOIUrl":"10.1007/s10338-023-00430-y","url":null,"abstract":"<div><p>Under the framework of the small deformation crystal plasticity theory, a crystal plastic cyclic constitutive model for body-centered cubic (BCC) cyclic softening polycrystalline metals is established. The constitutive model introduces the isotropic softening rule that includes two different mechanisms: namely softening under monotonic deformation and softening under cyclic deformation on each slip system. Meanwhile, a modified Armstrong-Frederick nonlinear kinematic hardening rule is adopted. The appropriate explicit scale transition rule is selected to extend the single crystal constitutive model to the polycrystalline constitutive model. Then the model is used to predict the uniaxial and multiaxial ratcheting deformation of BCC axle steel EA4T to verify the rationality of the proposed model. The simulation results indicate that the newly established crystal plasticity model can not only describe the cyclic softening characteristics of BCC axle steel EA4T well, but also reasonably describe the evolution laws of uniaxial ratcheting and nonproportional multiaxial ratcheting deformation. Moreover, the established crystal plastic cyclic constitutive model can reasonably predict the ratcheting behavior of BCC single crystal as well.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 1","pages":"33 - 42"},"PeriodicalIF":2.0,"publicationDate":"2023-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135731191","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":"Dynamic Response of Fractional-Order Viscoelastic High-Order Shear Beam Based on Nonlocal Strain Gradient Elasticity","authors":"Yuqian Xu, Peijun Wei","doi":"10.1007/s10338-023-00428-6","DOIUrl":"10.1007/s10338-023-00428-6","url":null,"abstract":"<div><p>The dynamic behavior of a viscoelastic high-order shear microbeam is studied based on a new constitutive model which incorporates size effects and viscoelasticity simultaneously. The size effects are modeled by the nonlocal gradient elasticity, while viscoelastic effects are modeled by fractional-order derivatives. The constitutive relation and the equations of motion are both differential equations with fractional-order derivatives. Based on the Laplace transform and inverse transform, the analytical solution of the dynamic response under a step load is obtained in terms of the Mittag–Leffler function. In order to verify the reliability of the analytical solution, a comparison with the numerical solution is also provided. Based on the numerical results, the effects of the nonlocal parameter, strain gradient parameter, fractional-order parameter, and viscosity coefficient on the dynamic response of the viscoelastic microbeam are discussed. It is found that the influences of the fractional order and the coefficient of viscosity on the dynamic response of the microbeam are very different, although both are related to the viscoelastic behavior.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 6","pages":"875 - 883"},"PeriodicalIF":2.2,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135995302","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}
Peng Xu, Qifeng Peng, Fusong Jin, Jianghong Xue, Hong Yuan
{"title":"Theoretical and Experimental Study on Tension–Torsion Coupling Vibration for Time-Varying Elevator Traction System","authors":"Peng Xu, Qifeng Peng, Fusong Jin, Jianghong Xue, Hong Yuan","doi":"10.1007/s10338-023-00429-5","DOIUrl":"10.1007/s10338-023-00429-5","url":null,"abstract":"<div><p>Elevators used in ultra-high buildings are prone to vibrating due to their ultra-long traction ropes, which significantly affects the comfort and safety of high-speed elevators. Therefore, vibration of the elevator has always been a topic of research interest. This paper presents a theoretical model for analyzing the tension–torsion coupling vibration of the time-varying elevator traction system. The constitutive relations with the tension–torsion coupling effect of the wire rope are reduced by analyzing the deformation mechanism of the spiral winding wire rope. Based on Hamilton’s principle, the equations of motion and corresponding boundary conditions for the tension–torsion coupling vibration of the elevator traction system are derived. The Galerkin method is employed to account for the influence of nonlinear boundary conditions and to transform the equations of motion into discrete ones with variable coefficients of time, which are solved using the Newmark-β method. The accuracy of the proposed model is justified by the good agreement between theoretical predictions and experimental results, following which, the influence of the operation status and structural parameters of the elevator traction system on its vibration performance is discussed in detail.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 6","pages":"899 - 913"},"PeriodicalIF":2.2,"publicationDate":"2023-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136033600","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":"Nonlinear Vibration Isolation of Spacecraft System by a Bionic Variable-Stiffness Device Enhanced by Electromagnetic Component","authors":"Zeyu Chai, Xuyuan Song, Jian Zang, Yewei Zhang","doi":"10.1007/s10338-023-00431-x","DOIUrl":"10.1007/s10338-023-00431-x","url":null,"abstract":"<div><p>This study addresses the modified bionic vibration isolation technology by introducing the electromagnetic system to simulate biological damping characteristics. It has been proven effective in improving the vibration environment. By assuming the spacecraft-adapter system as a two-degree-of-freedom system, an excellent simplified model can be derived. The novel bionic vibration isolation device (ABVS-EMVI), which combines an active bionic variable-stiffness device (ABVSVI) with the electromagnetic system, is proposed for the purpose of isolating vibration and harvesting energy at the same time. The dynamic equations of the spacecraft-adapter system with ABVS-EMVI are obtained using the Taylor expansion within the framework of the Lagrange equation, and the harmonic balance method is introduced to acquire the amplitude and voltage response of the system. The results indicate that the electromagnetic system can enhance the vibration isolation performance and provide energy harvesting capabilities. After confirming the ability of ABVS-EMVI to deal with different forms and amplitudes of excitation, the performance of vibration isolation and energy harvesting is investigated in terms of various parameters, and several new conclusions have been drawn.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 6","pages":"921 - 932"},"PeriodicalIF":2.2,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136113865","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 Design of Tunable Band Gaps in Anti-tetrachiral Structures Based on Shape Memory Alloy","authors":"Zhuxin Mao, Shutian Liu","doi":"10.1007/s10338-023-00426-8","DOIUrl":"10.1007/s10338-023-00426-8","url":null,"abstract":"<div><p>Benefitted from the properties of band gaps, elastic metamaterials (EMs) have attracted extensive attention in vibration and noise reduction. However, the width and position of band gaps are fixed once the traditional structures are manufactured. It is difficult to adapt to complex and changeable service conditions. Therefore, research on intelligent tunable band gaps is of great importance and has become a hot issue in EMs. To achieve smart control of band gaps, a design of tunable band gaps in anti-tetrachiral structures based on shape memory alloy (SMA) is proposed in this paper. By governing the phase transition process of SMA, the geometric configuration and material properties of structures can be changed, resulting in tunable band gaps. Therein, the energy band structures and generation mechanism of tunable band gaps in different states are studied, realizing intelligent manipulation of elastic waves. In addition, the influence of different geometric parameters on band gaps is investigated, and the desired bandgap position can be customized, making bandgap control more flexible. In summary, the proposed SMA-based anti-tetrachiral metamaterial provides valuable reference for the application of SMA materials and the development of EMs.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 6","pages":"802 - 816"},"PeriodicalIF":2.2,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10338-023-00426-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135537651","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Arbitrary Polygonal Stress Hybrid Element for Structural Dynamic Response Analysis","authors":"Xin Zeng, Ran Guo, Lihui Wang","doi":"10.1007/s10338-023-00393-0","DOIUrl":"10.1007/s10338-023-00393-0","url":null,"abstract":"<div><p>This paper constructs a new two-dimensional arbitrary polygonal stress hybrid dynamic (APSHD) element for structural dynamic response analysis. Firstly, the energy function is established based on Hamilton’s principle. Then, the finite element time–space discrete format is constructed using the generalized variational principle and the direct integration method. Finally, an explicit polynomial form of the combined stress solution is give, and its derivation process is shown in detail. After completing the theoretical construction, the numerical calculation program of the APSHD element is written in Fortran, and samples are verified. Models show that the APSHD element performs well in accuracy and convergence. Furthermore, it is insensitive to mesh distortion and has low dependence on selecting time steps.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 5","pages":"692 - 701"},"PeriodicalIF":2.2,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10338-023-00393-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50518975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Shock Characteristics and Protective Design of Equipment During Spacecraft Docking Process","authors":"Xu Gao, Xianxian He, Yingying Wu, Yifeng Dong, Jiajing Huo, Ying Li","doi":"10.1007/s10338-023-00427-7","DOIUrl":"10.1007/s10338-023-00427-7","url":null,"abstract":"<div><p>The shock loads generated by spacecraft during docking can cause functional failure and structural damage to aerospace electronic equipment and even lead to catastrophic flight accidents. There is currently a lack of systematic and comprehensive research on the shock environment of spacecraft electronic equipment due to the diversity and complexity of the shock environment. In this paper, the validity of the finite element model is verified based on the sinusoidal vibration experiment results of the spacecraft reentry capsule. The method of shock dynamic response analysis is used to obtain the shock environment of electronic equipment under different shock loads. The shock response spectrum is used to describe the shock environment of aerospace electronic equipment. The results show that the resonance frequency error between the sinusoidal vibration experiment and the model is less than 4.06%. When the docking relative speed of the reentry capsule is 2 m/s, the shock response spectrum values of one of the equipment are 30 m<sup>2</sup>/s, 0.67 m/s, and 0.059 m, respectively. The wire rope spring on the mating surface can provide vibration isolation and shock resistance. An increase in spring damping coefficient results in a decrease in the amplitude and time of the vibration generated. An increase in spring stiffness reduces the input of shock load within a certain range. These research results can provide guidance for the design and evaluation of shock environmental adaptability of aerospace electronic equipment.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 6","pages":"837 - 850"},"PeriodicalIF":2.2,"publicationDate":"2023-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136154824","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":"Nonlinear Bifurcation and Post-buckling Analysis of Cylindrical Composite Stiffened Laminates Based on Weak Form Quadrature Element Method","authors":"Xiang Ou, Xiaohu Yao, Run Zhang","doi":"10.1007/s10338-023-00424-w","DOIUrl":"10.1007/s10338-023-00424-w","url":null,"abstract":"<div><p>This paper presents a weak form quadrature element formulation in the analysis of nonlinear bifurcation and post-buckling of cylindrical composite stiffened laminates subjected to transverse loads. A total Lagrangian updating scheme is used in combination with arc-length method, and the branch-switching method is adopted to identify the whole post-buckling procedure of the laminates. The formulation of the shell model and beam model are based on the basic concept of Ahmad. The coincidence of discrete nodes and integration points in quadrature element endows it with compactness and conciseness in the nonlinear buckling analysis of the cylindrical stiffened laminates. Several numerical examples are firstly presented to verify the effectiveness and accuracy of present formulation. Parametric studies on the effects of the height-to-breadth ratio, lamination schemes, positions, distribution, number of the stiffeners on the bifurcation and post-buckling behavior are performed.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 6","pages":"817 - 836"},"PeriodicalIF":2.2,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135153694","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":"Bending of a Saturated Ferromagnetoelastic Plate Under a Local Mechanical Load","authors":"Jiashi Yang, Xiaoshan Cao, Wenhui Xu","doi":"10.1007/s10338-023-00425-9","DOIUrl":"10.1007/s10338-023-00425-9","url":null,"abstract":"<div><p>We study the bending of a magnetically saturated ferromagnetoelastic plate. The plate is rectangular and simply-supported along its edges. It is under a local distribution of normal mechanical load on its top surface, simulating a mechanical probe or manipulation of the magnetization field. The three-dimensional equations of saturated ferromagnetoelasticity for small fields superposed on finite biasing fields due to spontaneous magnetization are used. The plate is effectively piezomagnetic under the biasing fields. A trigonometric series solution is obtained. The perturbation of the magnetization field by the mechanical load is calculated and examined. It is found that the magnetization is sensitive to the mechanical load, particularly near the loading area. The perturbation of the magnetization is found to be associated with the transverse shear stresses in bending.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 6","pages":"794 - 801"},"PeriodicalIF":2.2,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49004661","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":"Size Effect on the Fracture Strength and Toughness of Nano-cracked CoSb3: A Molecular Dynamics Study","authors":"Xuqiu Yang, Liju Cai, Pengcheng Zhai","doi":"10.1007/s10338-023-00419-7","DOIUrl":"10.1007/s10338-023-00419-7","url":null,"abstract":"<div><p>Molecular dynamics simulations are implemented to study the mechanical fracture of CoSb<sub>3</sub> with penetrated nanocracks under the mode-I stress. The crack surface and crack front direction are (100) and [001], respectively. It is found that, at a fixed initial crack length, the fracture strength varies with the sample size, but the calculated value of fracture toughness <i>K</i><sub>IC</sub>, by employing the classical formula of linear elastic fracture mechanics, maintains constant. When the crack is short in length relative to the sample, the variation of the fracture strength with the initial crack length is well fitted mathematically, and the extrapolation shows rationality even up to the macroscale. More general analyses reveal that, the fracture toughness increases monotonically with increasing the initial crack length until reaching the limit, and the increment is particularly noticeable below 36 nm. Furthermore, different atomic configurations at the crack tip are considered, which show an evident influence on the strength of nano-cracked CoSb<sub>3</sub>.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 5","pages":"685 - 691"},"PeriodicalIF":2.2,"publicationDate":"2023-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49305010","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}