{"title":"Elastohydrodynamic Lubrication Interface Stiffness and Damping Considering Asperity Lateral Contact","authors":"Zhiqiang Gao, Yu Zhang, Xian Wei, Yanfang Zhu, Lixia Peng, Weiping Fu, Wen Wang","doi":"10.1007/s10338-023-00441-9","DOIUrl":"10.1007/s10338-023-00441-9","url":null,"abstract":"<div><p>Elastohydrodynamic lubrication (EHL) point contact occurs between two rough surfaces at the mesoscopic level, while the interaction of rough surfaces involves contact between asperities at the microscale level. In most cases, the contact between asperities within an interface takes the form of lateral contact rather than peak contact. Regions devoid of contact asperities are filled with lubricating oil. However, conventional models often oversimplify lateral contact forms as interactions between asperities and a smooth, rigid plane. These simplifications fail to accurately represent the true contact conditions and can lead to inaccuracies in the analysis of EHL’s contact performance. To address this issue, we have developed a novel EHL interface model comprising two rough surfaces. This model allows us to explore the influence of asperity height, contact angle, and contact azimuth angle on EHL interface performance.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138520033","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":"Underwater Directional Acoustic Source Based on Pentamode Material","authors":"Binghao Zhao, Peng Wang, Dongwei Wang, Gengkai Hu","doi":"10.1007/s10338-023-00442-8","DOIUrl":"10.1007/s10338-023-00442-8","url":null,"abstract":"<div><p>An underwater directional acoustic emitter is conceived with a highly anisotropic lattice material, whose acoustic characteristics manifest strong dependence on the orientation of the lattice material’s principal axis. Exploiting these features, a cylindrical structure made of such anisotropic lattice material is engineered to possess distinct impedance values in different directions, thereby facilitating wave emission along the principal axis while inducing reflection in other directions. Notably, through numerical simulations, it is demonstrated that the emission direction can be effectively manipulated by adjusting the principal axis orientation, concurrently enhancing the emitted power. In contrast to previous directional acoustic structures, the compact emitter presented in this study can get rid of the size-wavelength constraint, enabling effective control of low-frequency waves.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10338-023-00442-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138520050","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":"Prediction and Regulation of Delamination at Flexible Film/Finite-Thickness-Substrate Structure Interfaces","authors":"Yutang Zhou, Yunlong Xu, Haoran Gong, Chenyu Wang","doi":"10.1007/s10338-023-00437-5","DOIUrl":"10.1007/s10338-023-00437-5","url":null,"abstract":"<div><p>Regulating the surface instability of thin film/substrate structures has been successfully applied to prepare new ductile electronic devices. However, such electronic devices need to be subjected to external loads during operation, which can easily induce delamination of the thin-film electronic device from the substrate. This study aims to investigate the instability characteristics of hard films on flexible substrate surfaces from theoretical analysis and numerical simulation perspectives. Considering finite-thickness substrates, this paper establishes theoretical models for pure bending, bent wrinkle, partial delamination, and total delamination buckling of film/substrate structures based on the nonlinear Euler–Bernoulli beam theory and the principle of minimum energy; then the effects of material and geometric parameters of the structure, interfacial adhesion strength, and pre-strain on the evolutionary path of the four patterns are discussed. The study results show that: the greater Young’s modulus of the substrate is, the larger the parameter region where partial delamination of the film/substrate structure occurs, and the smaller the parameter region where bent wrinkle occurs. By varying Young’s modulus, thickness of the film and substrate, interfacial adhesion coefficient, and pre-strain, the buckling pattern of the structure can be predicted and regulated. The parametric design intervals for each pattern are summarized in the phase diagram. The results of this paper provide theoretical support for the design and reliability evaluation of flexible electronic devices.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138520064","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":"Topology Optimization Method for Microscale Structures Described with Integral Nonlocal Theory","authors":"Jiayu Li, Quhao Li, Shutian Liu","doi":"10.1007/s10338-023-00438-4","DOIUrl":"10.1007/s10338-023-00438-4","url":null,"abstract":"<div><p>The integration of additive manufacturing and topology optimization makes it possible to fabricate complex configurations, especially for microscale structures, which can guarantee the realization of high-performance structural designs. However, topology results often contain microstructures (several multicellular scales) similar to the characteristic length of local macrostructures, leading to errors in structural performance analysis based on classical theories. Therefore, it is necessary to consider the size effect in topology optimization. In this paper, we establish a novel topology optimization model utilizing the integral nonlocal theory to account for the size effect. The approach consists of an integral constitutive model that incorporates a kernel function, enabling the description of stress at a specific point in relation to strain in a distant field. Topology optimization structures based on nonlocal theory are presented for some benchmark examples, and the results are compared with those based on classical medium theory. The material layout exhibits significant differences between the two approaches, highlighting the necessity of topology optimization based on nonlocal theory and the effectiveness of the proposed method.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138520041","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}
Xin Zhang, Jie Liu, Pu Xue, Shuowen Yan, Yahao Xu, M. S. Zahran
{"title":"An Integral Method for Solving Dynamic Equations with Fluid–Solid Coupling","authors":"Xin Zhang, Jie Liu, Pu Xue, Shuowen Yan, Yahao Xu, M. S. Zahran","doi":"10.1007/s10338-023-00434-8","DOIUrl":"10.1007/s10338-023-00434-8","url":null,"abstract":"<div><p>In this work, a new methodology is presented to mainly solve the fluid–solid interaction (FSI) equation. This methodology combines the advantages of the Newmark precise integral method (NPIM) and the dual neural network (DNN) method. The NPIM is employed to modify the exponential matrix and loading vector based on the DNN integral method. This involves incorporating the basic assumption of the Newmark-<i>β</i> method into the dynamic equation and eliminating the acceleration term from the dynamic equilibrium equation. As a result, the equation is reduced to a first-order linear equation system. Subsequently, the PIM is applied to integrate the system step by step within the NPIM. The DNN method is adopted to solve the inhomogeneous term through fitting the integrand and the original function with a pair of neural networks, and the integral term is solved using the Newton–Leibniz formula. Numerical examples demonstrate that the proposed methodology significantly improves computing efficiency and provides sufficient precision compared to the DNN method. This is particularly evident when analyzing large-scale structures under blast loading conditions.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138520065","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 New Formulation of the Scaled Boundary Finite Element Method for Heterogeneous Media: Application to Heat Transfer Problems","authors":"Nima Noormohammadi, Nazanin Pirhaji Khouzani","doi":"10.1007/s10338-023-00436-6","DOIUrl":"10.1007/s10338-023-00436-6","url":null,"abstract":"<div><p>The solution to heat transfer problems in two-dimensional heterogeneous media is attended based on the scaled boundary finite element method (SBFEM) coupled with equilibrated basis functions (EqBFs). The SBFEM reduces the model order by scaling the boundary solution onto the inner element. To this end, tri-lateral elements are emanated from a scaling center, followed by the development of a semi-analytical solution along the radial direction and a finite element solution along the circumferential/boundary direction. The discretization is thus limited to the boundaries of the model, and the semi-analytical radial solution is found through the solution of an eigenvalue problem, which restricts the methods’ applicability to heterogeneous media. In this research, we first extracted the SBFEM formulation considering the heterogeneity of the media. Then, we replaced the semi-analytical radial solution with the EqBFs and removed the eigenvalue solution step from the SBFEM. The varying coefficients of the partial differential equation (PDE) resulting from the heterogeneity of the media are replaced by a finite series in the radial and circumferential directions of the element. A weighted residual approach is applied to the radial equation. The equilibrated radial solution series is used in the new formulation of the SBFEM.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138520023","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":"Self-consistent Clustering Analysis-Based Moving Morphable Component (SMMC) Method for Multiscale Topology Optimization","authors":"Yangfan Li, Jiachen Guo, Hengyang Li, Huihan Chen","doi":"10.1007/s10338-023-00433-9","DOIUrl":"10.1007/s10338-023-00433-9","url":null,"abstract":"<div><p>Current multiscale topology optimization restricts the solution space by enforcing the use of a few repetitive microstructures that are predetermined, and thus lack the ability for structural concerns like buckling strength, robustness, and multi-functionality. Therefore, in this paper, a new multiscale concurrent topology optimization design, referred to as the self-consistent analysis-based moving morphable component (SMMC) method, is proposed. Compared with the conventional moving morphable component method, the proposed method seeks to optimize both material and structure simultaneously by explicitly designing both macrostructure and representative volume element (RVE)-level microstructures. Numerical examples with transducer design requirements are provided to demonstrate the superiority of the SMMC method in comparison to traditional methods. The proposed method has broad impact in areas of integrated industrial manufacturing design: to solve for the optimized macro and microstructures under the objective function and constraints, to calculate the structural response efficiently using a reduced-order model: self-consistent analysis, and to link the SMMC method to manufacturing (industrial manufacturing or additive manufacturing) based on the design requirements and application areas.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136346534","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":"Closed-Form Solution for a Circular Nanohole with Surface Effects Under Uniform Heat Flux","authors":"Jieyao Tang, Jieyan Zhao, Haibing Yang, Cunfa Gao","doi":"10.1007/s10338-023-00435-7","DOIUrl":"10.1007/s10338-023-00435-7","url":null,"abstract":"<div><p>This paper investigates the steady-state thermoelastic problem of a circular nanohole embedded in an infinitely large elastic plane subjected to a uniform far-field heat flux. A lowly conductive surface model is used to account for the effects of surface phonon scattering, while the complete Gurtin–Murdoch model is utilized to characterize the effects of surface tension and surface elasticity. The closed-form solution to the temperature and stress field surrounding the hole is derived in the context of complex variable methods. Several numerical examples are presented to analyze the influence of surface effects on thermal stress fields. It is shown that surface effects induce notable increases in normal and shear stresses around the hole. Specifically, all three stress components (hoop, normal, and shear) in the vicinity of the hole exhibit substantial augmentation with increasing surface tension and surface modulus. In particular, it is found that the presence of surface effects amplifies the variation in stress gradients and intensifies stress concentration around the hole.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135634259","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":"Interfacial Instability of Two Bonded Elastic Bodies Driven by Interface or Bulk Residual Stress","authors":"C. Q. Ru","doi":"10.1007/s10338-023-00432-w","DOIUrl":"10.1007/s10338-023-00432-w","url":null,"abstract":"<div><p>Inspired by recent research interest in the interface wrinkling of bonded materials in diverse areas of 3D printing, the present work studies the interfacial instability of two bonded elastic bodies driven by negative interfacial tension or compressible bulk residual stress. For interfacial instability modes decaying exponentially with distance from the interface, the present model is formulated for two bonded elastic half-spaces with a planar interface under plane strain. An explicit expression is given for the wavenumber of interfacial instability driven by negative interfacial tension, and a critical condition is derived for interfacial instability driven by compressive bulk residual stress. The derived results are validated with comparison to known results on surface instability of an elastic half-space, and the role of shear modulus ratio and Poisson’s ratios of two bonded elastic bodies in interfacial instability, an issue to be addressed in literature, is studied with specific reference to material parameters used in some areas of 3D printing.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136071052","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 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":null,"pages":null},"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}