Archive of Applied Mechanics最新文献_第2页

A semi-analytical solution for the one-dimensional transient response of layered unsaturated porous media 层状非饱和多孔介质一维瞬态响应的半解析解法

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-02-07 DOI: 10.1007/s00419-025-02769-9

Yun Zhao, Zijie Ji, Zhanglong Chen, Zhendong Shan, Ping Xu, Changnv Zeng

{"title":"A semi-analytical solution for the one-dimensional transient response of layered unsaturated porous media","authors":"Yun Zhao, Zijie Ji, Zhanglong Chen, Zhendong Shan, Ping Xu, Changnv Zeng","doi":"10.1007/s00419-025-02769-9","DOIUrl":"10.1007/s00419-025-02769-9","url":null,"abstract":"<div><p>The transient response of porous media is an important aspect of dynamic research. However, existing studies seldom provide solutions to the transient response problem of layered unsaturated porous media. Based on the Biot-type unsaturated wave equations, dimensionless one-dimensional wave equations are established. An appropriate displacement function is introduced to homogenize the boundary conditions. Subsequently, the transfer matrix method is used to obtain the eigenvalues and eigenfunctions of the homogeneous governing equations. Leveraging the orthogonality of the eigenfunctions, the original problem is transformed into solving a series of initial value problems of ordinary differential equations. The temporal solution within the time domain is then obtained through an improved precise time integration method. The validity of the solution presented in this paper is verified by comparing it with existing solutions in the literature. Analysis of numerical examples shows that reflection waves of opposite phases will be generated at the hard-soft and hard-harder interface, which helps in the accurate identification of weak interlayers in practical engineering applications. With increasing saturation, there is a noticeable increase in the velocities of the <span>(P_{1})</span> and <span>(P_{3})</span> waves, whereas the velocity of the <span>(P_{2})</span> waves tends to decrease, which can be used to assess the mechanical property of medium. The peak value of pore pressure in unsaturated can be 1.64 times higher than those in saturated condition.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361977","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

Solving Hilfer fractional dirac systems: a spectral approach

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-02-06 DOI: 10.1007/s00419-025-02767-x

Ahu Ercan, Erdal Bas, Ramazan Ozarslan

引用次数: 0

Propagating parameter uncertainty in dynamic modeling of a mechanical system using a perturbation method: a case study on pole vaulting

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-02-01 DOI: 10.1007/s00419-025-02765-z

Ouadie El Mrimar, Othmane Bendaou, Zakaria El Haddad, Bousselham Samoudi

引用次数: 0

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