Archive of Applied Mechanics最新文献_第4页

An advanced mixed finite element formulation for flexural analysis of laminated composite plates incorporating HSDT and transverse stretching effect

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-30 DOI: 10.1007/s00419-024-02735-x

Doğan Kanığ, Akif Kutlu

{"title":"An advanced mixed finite element formulation for flexural analysis of laminated composite plates incorporating HSDT and transverse stretching effect","authors":"Doğan Kanığ, Akif Kutlu","doi":"10.1007/s00419-024-02735-x","DOIUrl":"10.1007/s00419-024-02735-x","url":null,"abstract":"<div><p>The modeling and analysis of laminated composite plates are performed using a unified Higher Order Shear Deformation Theory (HSDT) that accounts for transverse stretching effect. The adopted unified HSDT formulation allows the implementation of various shear functions. To derive a weak form from the generalized displacement fields of HSDTs, a variational principle is applied within a two-field mixed approach. The stationarity of the functional for laminated plate structures is obtained through the application of the Hellinger–Reissner variational principle. Hence, displacements and stress resultants, namely two independent fields, are included in finite element equations. Four-noded, quadrilateral elements are employed for the discretization of the plate’s domain. While the generated functional initially had <span>(C^{1})</span> continuity, benefiting from the two-fields property of the mixed finite element formulation, integration by parts is performed that results with a functional requiring only <span>(C^{0})</span> continuity. To effectively capture the nonlinear and parabolic variation of transverse shear stress, it is determined that even with varying functions, the results are theoretically consistent with the elasticity method and the employed HSDT model. Also, when compared to the theories that are already accessible in the literature, for the bending behavior of composite plates, incorporating the stretching effect converges the exact results for laminated composite plates more than the studies where that effect is neglected.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143110155","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}

引用次数: 0

Pareto optimal robust design combining isogeometric analysis and sparse polynomial chaos: brake squeal case study

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-29 DOI: 10.1007/s00419-024-02736-w

Achille Jacquemond, Frédéric Gillot, Koji Shimoyama, Shigeru Obayashi, Sébastien Besset

{"title":"Pareto optimal robust design combining isogeometric analysis and sparse polynomial chaos: brake squeal case study","authors":"Achille Jacquemond, Frédéric Gillot, Koji Shimoyama, Shigeru Obayashi, Sébastien Besset","doi":"10.1007/s00419-024-02736-w","DOIUrl":"10.1007/s00419-024-02736-w","url":null,"abstract":"<div><p>Shape optimization is an increasingly prevalent tool for designing and manufacturing mechanical systems with gradient-free nonlinear performance metrics. Uncertainty quantification is an essential part of the process as optimality can be called into question in the presence of unavoidable discrepancies between numerical designs and manufactured parts. This paper combines isogeometric analysis (IGA) and polynomial chaos expansions (PCE) towards shape optimization of a disc brake for noise minimization under uncertainties. The proposed approach sets robustness to manufacturing uncertainties as an optimization objective in order to directly obtain robust optimal solutions. IGA is chosen over other shape design alternatives for its absence of meshing approximations, which makes it potentially more suitable in the presence of uncertainties. PCE is used to quantify robustness through the variance of the output, in an attempt to alleviate the computational burden of uncertainty quantification. The studied application is a simplified disc brake system whose shape is modified to minimize undesirable squeal noise, which is quantified through complex eigenvalue analysis. The noise prediction model, PCE model, and a genetic algorithm are then combined for the purpose of searching for robust optimal solutions. Results show the capability to converge to a Pareto front of robust noise-minimizing disc brake shapes and overall high computational efficiency compared to Monte Carlo simulation for output variance estimation. Furthermore, our findings confirm the superiority of sparse PCE methods over the classical ordinary least squares PCE method for output variance quantification.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109972","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}

引用次数: 0

Nonlocal effects on curved double-walled carbon nanotubes based on nonlocal theory

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-29 DOI: 10.1007/s00419-025-02762-2

Ayşegül Tepe

{"title":"Nonlocal effects on curved double-walled carbon nanotubes based on nonlocal theory","authors":"Ayşegül Tepe","doi":"10.1007/s00419-025-02762-2","DOIUrl":"10.1007/s00419-025-02762-2","url":null,"abstract":"<div><p>Curved double-walled carbon nanotubes (CDWCNTs) are crucial components in nanoelectronics, mechanical sensors, and composite materials due to their unique geometry and structural properties. Electron microscopy images have revealed that carbon nanotubes are rarely perfectly straight, often exhibiting curvature or waviness along their length due to inherent geometrical imperfections. The accurate mechanical modeling of these structures is essential, particularly to capture size-dependent effects that classical elasticity theories fail to account for. In this study, a novel analytical framework was introduced for combining the initial value method with the approximate transfer matrix approach to analyze the mechanical behavior of CDWCNTs under anti-plane loading within the framework of nonlocal elasticity theory. The proposed methodology provides an effective and computationally efficient alternative to traditional analytical approaches. By analyzing displacements, rotations, bending moments, and shear forces, substantial deviations were revealed between classical and nonlocal elasticity solutions, particularly as the dimensionless nonlocal parameter <span>(R/gamma )</span> decreased. The results show that nonlocal effects become dominant at smaller size parameters, especially in displacements, rotations, and bending moments, while shear forces remain unaffected. These findings emphasize the critical role of nonlocal effects in accurately predicting nanoscale mechanical responses and offer valuable insights for modeling advanced nanostructures in emerging technologies, such as microelectromechanical systems and nanotechnology. Convergence studies have confirmed the accuracy and stability of the proposed approach, thereby establishing this as a robust tool for modeling nanoscale structures.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02762-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109978","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}

引用次数: 0

Nonlinear analysis of buckling and post-buckling behavior of porous FGM sandwich plates using a high-order continuity finite element approach

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-27 DOI: 10.1007/s00419-025-02759-x

Hamza Chaabani, Abdessamed Baaddi, Lhoucine Boutahar, Khalid El Bikri

{"title":"Nonlinear analysis of buckling and post-buckling behavior of porous FGM sandwich plates using a high-order continuity finite element approach","authors":"Hamza Chaabani, Abdessamed Baaddi, Lhoucine Boutahar, Khalid El Bikri","doi":"10.1007/s00419-025-02759-x","DOIUrl":"10.1007/s00419-025-02759-x","url":null,"abstract":"<div><p>This study proposes an innovative numerical approach combining the finite element method and high-order continuation algorithm (FE-HCA) to analyze the nonlinear buckling and post-buckling behavior of porous FGM sandwich plates, evaluating the impact of porosity distribution and boundary loading types on their response. The approach is based on a Taylor series expansion of the unknowns in the problem, which transforms the nonlinear equations into a sequence of linear problems solved using the finite element method. The continuation technique is then employed to search for solution curves branch by branch, inverting a single tangent stiffness matrix per branch and providing an adaptive step size that adjusts according to the local nonlinearity of the solution branch. The mathematical formulation of the problem, based on high-order shear deformation theory (HSDT), introduces parabolic shear deformations, thus eliminating the need for shear correction factors. However, the applicability of HSDT is primarily limited to moderately thick plates, as it does not fully capture three-dimensional stress effects in very thick structures. The results show that the FE-HCA algorithm significantly reduces computation time, as demonstrated by a numerical example in the results section, where the number of tangent matrix inversions decreases from 4086 to only 12. A detailed parametric study highlights the influence of key parameters, such as porosity distribution, layer thickness, and loading types, on the buckling behavior. Compared to traditional iterative methods, the FE-HCA approach is faster and more efficient, offering significant gains in accuracy and computational cost, making it a powerful tool for analyzing FGM structures.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143109335","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}

引用次数: 0

Elastic–plastic bending analysis of beams with tension–compression asymmetry: bimodular effect and strength differential effect

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-23 DOI: 10.1007/s00419-025-02758-y

Xiao-Ting He, Zhi-Peng Chen, Jun-Yi Sun

{"title":"Elastic–plastic bending analysis of beams with tension–compression asymmetry: bimodular effect and strength differential effect","authors":"Xiao-Ting He, Zhi-Peng Chen, Jun-Yi Sun","doi":"10.1007/s00419-025-02758-y","DOIUrl":"10.1007/s00419-025-02758-y","url":null,"abstract":"<div><p>The tension–compression asymmetry is a basic mechanical property of materials themselves, which results in differences in elastic constant, yield strength, creep and fatigue. Among them, bimodular elastic effect and strength differential (SD) effect in plastic yielding will influence the whole elastic–plastic response. Existing studies have focused either on bimodular elastic effect of structures or on SD effect of materials, and few of them have combined the two effects. In this study, we theoretically analyze, for the first time, the elastic–plastic bending behavior of beams with the bimodular and SD effects, including loading and unloading process. The comparisons with our numerical simulation results and others’ experimental results validate the analytical solution obtained. The results indicate that during loading, the ratio of plastic limit bending moment to elastic limit bending moment is greater than known 3/2 and during unloading, the bending moment required by reverse yielding is greater than twice of elastic limit bending moment. The modulus ratio and yield strength ratio play an important role in elastic–plastic analysis and their relative magnitude determines whether the tensile edge yields first or the compressive edge. These results may help design optimal structural components in engineering.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143108915","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}

引用次数: 0

Forced vibration of an axially moving beam with nonhomogeneous boundary 非均匀边界轴向运动梁的受迫振动

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-22 DOI: 10.1007/s00419-025-02760-4

Liang Jintao, Wang Ze, Li Xingli, Li Chongbo

{"title":"Forced vibration of an axially moving beam with nonhomogeneous boundary","authors":"Liang Jintao, Wang Ze, Li Xingli, Li Chongbo","doi":"10.1007/s00419-025-02760-4","DOIUrl":"10.1007/s00419-025-02760-4","url":null,"abstract":"<div><p>Nonlinear vibration of axially moving systems has been a hot research topic. In the present paper, the influence of nonhomogeneous boundaries caused by wheel curvature on the dynamics of axially moving beams is explored. The equilibrium deformation of axially moving beams with nonhomogeneous boundaries is solved by using the iterative scheme developed by the differential quadrature method (DQM). Moreover, the forced vibration response of the system is evaluated by using the multi-scale method. The stability of the solutions for given parameters was determined. The results of the multi-scale method are verified by using the Galerkin truncation method (GTM). Numerical examples disclose that nonhomogeneous boundary conditions exhibit specific phenomena, namely an increase in the amplitude of the steady-state response, a decrease in the nonlinear characteristics, and an upward shift of the instability boundary. The discovery of this phenomenon is of great significance for the analysis of the dynamic response of axially moving beams under nonhomogeneous boundary conditions caused by wheel curvature. It is helpful for structural optimization and performance improvement in corresponding engineering fields.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995527","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}

引用次数: 0

A numerical study of the normal loading–unloading contact behaviors considering yield plateau and strain hardening 考虑屈服平台和应变硬化的正常加卸载接触行为的数值研究

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-21 DOI: 10.1007/s00419-025-02761-3

Juncheng Luo, Jianhua Liu, Huanxiong Xia, Xiaohui Ao, Jian Zhang, Xuerui Zhang, Hui Zhang, Xin Liu

引用次数: 0

Spectral realization of the method of matched sections for thin-plate vibration 薄板振动匹配截面法的频谱实现

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-20 DOI: 10.1007/s00419-024-02755-7

Igor Orynyak, Anton Tsybulnyk, Kirill Danylenko

{"title":"Spectral realization of the method of matched sections for thin-plate vibration","authors":"Igor Orynyak, Anton Tsybulnyk, Kirill Danylenko","doi":"10.1007/s00419-024-02755-7","DOIUrl":"10.1007/s00419-024-02755-7","url":null,"abstract":"<div><p>The paper further develops the method of matched sections as a new universal numerical technique. Like the finite element method, FEM, it supposes that: a) the domain is represented as a mesh of simple elements; b) algebraic relations between the main parameters are established from the governing differential equations; c) relationships from all elements are assembled into one global matrix. The relations between the main parameters are established similarly to those for the corresponding 1D task, so any 2D problem is considered a combination of two 1D problems—one is x-dependent, and the other is y-dependent. In all technical aspects, this paper resembles our previous one, which was devoted to the static analysis of plate bending. It operates by the same governing parameters, the same structure of the dependencies between them as well as the organization of the calculation scheme. The only difference consists in connection equations (analogy of element interpolation functions), which establish the relationship between inlet parameters (about the left and lower sides of the element) and outlet parameters (the left and upper sides). They are derived as the frequency-dependent ones (frequency is explicitly used in them) and in the liming case of very long (narrow) plates coincide with the known beam frequency-dependent solution. Several practical examples demonstrate the efficiency of the proposed method.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995111","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}

引用次数: 0

Null-lagrangians in the micro-inertia contribution of the reduced relaxed micromorphic model. Theoretical and computational insights with applications 简化松弛微形态模型微惯量贡献中的零拉格朗日量。具有应用的理论和计算见解

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-20 DOI: 10.1007/s00419-024-02709-z

Félix Erel-Demore, Jendrik Voss, Patrizio Neff, Angela Madeo

{"title":"Null-lagrangians in the micro-inertia contribution of the reduced relaxed micromorphic model. Theoretical and computational insights with applications","authors":"Félix Erel-Demore, Jendrik Voss, Patrizio Neff, Angela Madeo","doi":"10.1007/s00419-024-02709-z","DOIUrl":"10.1007/s00419-024-02709-z","url":null,"abstract":"<div><p>This paper identifies a null-Lagrangian in the reduced relaxed micromorphic model. We show that the introduction of a micro-inertia depending on the skew-symmetric part of <span>(nabla dot{u})</span> with the macroscopic displacement field <i>u</i> does not enrich the dispersion relations of the reduced relaxed micromorphic model. Reciprocally, we show that one can switch from the full micro-inertia (with both sym<span>(nabla dot{u})</span> and skew<span>(nabla dot{u})</span> terms) to the reduced micro-inertia (only sym<span>(nabla dot{u})</span>) without any additional fitting. This is related to the fact that the introduction of such a skew-symmetric term is equivalent to a null-Lagrangian that leaves the bulk response unchanged while modifying the Neumann boundary conditions at the boundaries. Thus, the introduction of the skew-symmetric part of the micro-inertia, while redundant for wave dispersion, may potentially be used to improve the response of finite-size mechanical metamaterials at the homogenized macroscale due to boundary effects.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-024-02709-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995180","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}

引用次数: 0

Multi-scale Mohr–Coulomb strength criterion considering particle characteristic for soil 考虑土颗粒特性的多尺度莫尔-库仑强度准则

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-20 DOI: 10.1007/s00419-024-02750-y

Deluan Feng, Lirui Zhou, Shihua Liang

引用次数: 0