Archive of Applied Mechanics最新文献_第4页

Analysis of thermoelastic dissipation in couple stress-based beams with two-dimensional Moore–Gibson–Thompson heat conduction

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-02-10 DOI: 10.1007/s00419-025-02768-w

Younes Chahlaoui, Sabir Widatalla, A. K. Kareem, Mukhlisa Soliyeva, S. Sujai, Sandeep Singh, Vikasdeep Singh Mann, Ankit Kedia, Ahmed Read Al-Tameemi, Marwa Alhedrawe

{"title":"Analysis of thermoelastic dissipation in couple stress-based beams with two-dimensional Moore–Gibson–Thompson heat conduction","authors":"Younes Chahlaoui, Sabir Widatalla, A. K. Kareem, Mukhlisa Soliyeva, S. Sujai, Sandeep Singh, Vikasdeep Singh Mann, Ankit Kedia, Ahmed Read Al-Tameemi, Marwa Alhedrawe","doi":"10.1007/s00419-025-02768-w","DOIUrl":"10.1007/s00419-025-02768-w","url":null,"abstract":"<div><p>Thermoelastic dissipation (TED) is a primary source of energy loss in extremely small structures, making the precise determination of its magnitude vital for the optimal design and performance of such components. The inclusion of two-dimensional (2D) heat conduction alongside size effects in both the structural and thermal domains plays a key role in enhancing TED analysis for small-scale beam resonators. The modified couple stress theory (MCST) and Moore–Gibson–Thompson (MGT) heat equation, within the context of the energy approach, are employed in this paper to create a novel size-dependent framework for TED in small-scale beams subjected to 2D heat conduction. After comparing the developed framework with existing research, numerical simulations are carried out to reveal the differences between 2 and 1D models, as well as the impact of employing size-dependent mechanical and thermal formulations. For beams with large thickness-to-length ratios, especially under clamped–clamped (CC) boundary conditions, the proposed model shows significant differences when compared to 1D model. Based on the findings, the ratio of 2D TED to 1D TED in CC beams with an aspect ratio of 10 can be up to 1.6 times. The integration of size effects and 2D heat transfer in the established framework is expected to provide benchmark results for accurate TED simulations and facilitate the optimal design of ultra-small beam resonators.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373337","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

Modeling method for boundary conditions of the rectangular thin plate by using the power series polynomial

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-02-07 DOI: 10.1007/s00419-025-02766-y

Yuteng Cao, Tianxiang Zhang, Wenbo Li, Qiang Bi

{"title":"Modeling method for boundary conditions of the rectangular thin plate by using the power series polynomial","authors":"Yuteng Cao, Tianxiang Zhang, Wenbo Li, Qiang Bi","doi":"10.1007/s00419-025-02766-y","DOIUrl":"10.1007/s00419-025-02766-y","url":null,"abstract":"<div><p>There exist complex deformation characteristics and torque transmission mechanisms of the structure whose boundary is constrained locally. This paper proposes the power series polynomial constraining method to establish the dynamical modeling of a rectangular thin plate with a localized constraint. The boundary condition can be constructed by applying the power series polynomial with undetermined coefficients to the free boundary directly. This means that the derivation of the admissible function no longer relies on the first term associated with a specific constraint. The undetermined coefficient of the power series polynomial can be obtained while calculating the weight coefficient of the admissible function by using the Rayleigh–Ritz method. Then natural frequencies are calculated and polynomial coefficients can be further obtained. The influence of variations in boundary length, constraint length, constraint position and multiple discontinuous localized constraints on natural frequencies of the plate is studied. Convergence verification is performed for the truncated number of orthogonal polynomials and power series multipliers. Then the appropriate number of the term for the power series multiplier is determined. Natural frequencies of the cantilever plate and the opposite sides simply supported plate obtained by using the proposed method are compared with those obtained using the traditional method. Then natural frequencies of the plate with a local boundary constrained are compared with those obtained from the finite element software MSC.Patran. The fairly low relative error demonstrates the validity of the proposed method. The dynamical response analysis shows the superiority of the proposed method for the boundary locally constrained boundaries, which cannot be adequately handled by the traditional method.. The power series polynomial overcomes the limitation that the traditional Lagrange multiplier method can only construct point constraints.</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":"143361908","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 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