Archive of Applied Mechanics最新文献_第2页

Poroelasticity in infinite orthotropic materials with smooth interfaces via Green’s functions 通过格林函数计算具有光滑界面的无限正交材料的挤弹性

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-20 DOI: 10.1007/s00419-025-02809-4

Muzammal Hameed Tariq, Li-Hua Pan, Yue-Ting Zhou, Jingli Ren, Huayang Dang

{"title":"Poroelasticity in infinite orthotropic materials with smooth interfaces via Green’s functions","authors":"Muzammal Hameed Tariq, Li-Hua Pan, Yue-Ting Zhou, Jingli Ren, Huayang Dang","doi":"10.1007/s00419-025-02809-4","DOIUrl":"10.1007/s00419-025-02809-4","url":null,"abstract":"<div><p>Green’s functions are essential analytical tools in physics, providing key insights into the behavior of complex multiphase systems. This study examines poroelastic effects in infinite orthotropic materials with smooth contact interfaces using Green’s functions, which play a significant role in flotation mattresses and rock–soil systems. By employing strict differential operator theory and potential theory, we present compact mono-harmonic general solutions to the governing equations that satisfy sixth-order homogeneous partial differential equations. Based on the obtained compact general solution, the 2D fundamental solution for a steady line fluid source in an infinite orthotropic poroelastic plane with smooth interfaces is derived using six newly introduced harmonic functions.functions, ensuring their ease of use in practical applications. Numerical simulations, presented through non-dimensional contours and spatial visualization, reveal elliptical behavior, high-density levels near the fluid source, decay at a distance, higher-order singularities, zero-common tangents, and adherence to interface continuity conditions.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852530","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

Experimental and numerical investigation of the evolution of residual stresses under cyclic mechanical loading 循环机械载荷下残余应力演化的实验与数值研究

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-17 DOI: 10.1007/s00419-025-02803-w

Tom Schneider, Jens Gibmeier, Markus Kästner

{"title":"Experimental and numerical investigation of the evolution of residual stresses under cyclic mechanical loading","authors":"Tom Schneider, Jens Gibmeier, Markus Kästner","doi":"10.1007/s00419-025-02803-w","DOIUrl":"10.1007/s00419-025-02803-w","url":null,"abstract":"<div><p>Forming-induced residual stresses highly influence the performance of metallic engineering components. They offer great potential particularly for increasing fatigue life by targeted introduction of compressive residual stresses in failure-critical areas. However, this only holds true if one can understand and predict the change of residual stresses under cyclic mechanical loading and thus ensure their stability. In the present paper, we introduce a combined experimental and numerical approach for the investigation of residual stress evolution under cyclic mechanical loading. Therefore, a suitable experiment is conceptualized and realized using a 4-point bending setup. The initial plastic deformation of each specimen is followed by a certain number of load cycles and experimental residual stress analyses. From this, a course of residual stresses over the fatigue life is constructed. In order to simulate the determined change in residual stresses, a cyclic plasticity model is proposed that takes into account the nonlinear kinematics due to the large deflection of the beam. A parametrization algorithm is presented, which employs a global optimization strategy using uniaxial stress–strain data from various parametrization experiments. The final comparison of experimental and numerical results shows a qualitative agreement. Their stabilization level after a few thousand load cycles can be predicted.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02803-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845638","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

Supersonic aeroelastic behaviors of the ferromagnetic panels in steady/harmonic magnetic field 稳定/谐波磁场下铁磁板的超音速气动弹性行为

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-16 DOI: 10.1007/s00419-025-02806-7

Shi Lihe, Duan Jingbo, Pang Yu, Yue Yanmei, Wang Wei

{"title":"Supersonic aeroelastic behaviors of the ferromagnetic panels in steady/harmonic magnetic field","authors":"Shi Lihe, Duan Jingbo, Pang Yu, Yue Yanmei, Wang Wei","doi":"10.1007/s00419-025-02806-7","DOIUrl":"10.1007/s00419-025-02806-7","url":null,"abstract":"<div><p>The nonlinear aeroelastic dynamic responses and bifurcation behaviors of the ferromagnetic panel in steady/harmonic magnetic field under the supersonic airflow environment are investigated. The geometrical nonlinear effect of the ferromagnetic panel is depicted through the Von-Karman strain and the aerodynamic load is incorporated by the classical piston theory. Then, the reduced equations of motion are obtained and the Newmark method is used to determine the dynamic response with the Newton–Raphson iterative procedure for the nonlinear equilibrium equation at each time step. After examining the accuracy of the established mechanical model through numerical comparisons with experiment results and literature solutions, the main parametric studies focusing on the steady magnetic field strength, harmonic magnetic amplitude and frequency, dynamic pressure on nonlinear dynamic response are studied and the global bifurcation diagrams are given. Results show that the steady magnetic field leads to enhancement of the critical flutter dynamic pressure and a delaying of chaotic motion for the ferromagnetic panel. However, the harmonic magnetic field will complicate the motion type of the ferromagnetic panel and bring a chaotic state earlier.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 5","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02806-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835708","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

A simple and general algorithm for integration of numerical models in plasticity 塑性数值模型积分的一种简单通用算法

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-16 DOI: 10.1007/s00419-025-02804-9

Guy T. Houlsby, Miad Saberi

引用次数: 0

Solutions to natural frequencies of laminated composite beams based on the scaled boundary finite element method 基于比例边界有限元法的层状复合梁自然频率解法

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-15 DOI: 10.1007/s00419-025-02805-8

Wenwu Li, Tian Tian, Song Yan, Fuyan Pi

{"title":"Solutions to natural frequencies of laminated composite beams based on the scaled boundary finite element method","authors":"Wenwu Li, Tian Tian, Song Yan, Fuyan Pi","doi":"10.1007/s00419-025-02805-8","DOIUrl":"10.1007/s00419-025-02805-8","url":null,"abstract":"<div><p>The scaled boundary finite element method (SBFEM) is further extended to compute the natural frequencies of laminated composite beams. In the proposed method, the beam is simplified into a one-dimensional model. Only the displacement components along <i>x</i> and <i>z</i> directions are selected as the fundamental unknowns. Starting with the fundamental equations of elasticity and built on the scaled boundary coordinate, the principle of virtual work and the dual vector technique, the first-order ordinary differential scaled boundary finite element dynamic equation for composite beams is obtained, whose general solution is the analytical matrix exponential function. The Padé expansion is utilized to solve the matrix exponential function, and the dynamic matrix of each beam lamina can be acquired. According to the principle of matching degrees of freedom, the global stiffness and mass matrices of the laminated beam are gained. Solving the eigenvalue equation results in the vibration frequencies of laminated composite beams. This method is widely applicable, and there is no limitation on the layer number and boundary conditions. Comparisons with natural frequencies of three-, four- and ten-layered beams as well as the stepped beam, the accuracy, high efficiency and fast convergence of the introduced SBFEM are validated.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143835612","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 modified permeable model for analyzing two collinear cracks in thermo-electro-elastic materials 用于分析热电弹性材料中两条共线裂缝的修正渗透模型

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-13 DOI: 10.1007/s00419-025-02801-y

Bing Wu, Tengfei Zhong, Chunsheng Lu

引用次数: 0

Analytical investigation and optimization of a vortex-induced piezoelectric energy harvester by differential transform method and response surface methodology 利用微分变换法和响应面法对涡流诱导压电能量收集器进行分析研究和优化

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-12 DOI: 10.1007/s00419-025-02807-6

Qi Lei, Kaining Mu, Wencan Wu, Sipeng Xu

{"title":"Analytical investigation and optimization of a vortex-induced piezoelectric energy harvester by differential transform method and response surface methodology","authors":"Qi Lei, Kaining Mu, Wencan Wu, Sipeng Xu","doi":"10.1007/s00419-025-02807-6","DOIUrl":"10.1007/s00419-025-02807-6","url":null,"abstract":"<div><p>Linear piezoelectric energy harvesters exhibit coupled vibration phenomena under external excitation. This study proposes a novel semi-analytical method for examining the vibration response of linear piezoelectric energy harvesters in vortex-induced vibration environments. In this study, the governing equations of a vortex-induced piezoelectric energy harvester, derived with the help of Euler–Lagrange equation, are solved using the multi-step differential transform-Padé approximation method. The accuracy of this method is validated against the fourth-order Runge–Kutta method. Furthermore, the influences of the bluff body’s diameter and the length of piezoelectric beam on the system’s output power are examined. Finally, optimization of the model is conducted using the non-dominated sorting genetic algorithm II with the objectives of maximizing output power and minimizing system mass, in which response surface methodology is employed to tackle with the time-consuming problem in computation process. The results indicate that the output power at the turning points calculated through idealized points is 13.37% greater than that of the initial design point, while the total system mass is reduced by 3.06%.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824605","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

Dynamic performance analysis of train-track-bridge interactions considering full probability of track random irregularities 考虑轨道随机不规则全概率的列车-轨道-桥梁相互作用动力性能分析

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-11 DOI: 10.1007/s00419-025-02799-3

Jinfeng Zhang, Dengyuan Zhu, Fei Huo

{"title":"Dynamic performance analysis of train-track-bridge interactions considering full probability of track random irregularities","authors":"Jinfeng Zhang, Dengyuan Zhu, Fei Huo","doi":"10.1007/s00419-025-02799-3","DOIUrl":"10.1007/s00419-025-02799-3","url":null,"abstract":"<div><p>The dynamic responses of a railway bridge subject to a moving train are randomly affected by track irregularities. With particular attention on track random irregularities, an in-depth analysis is performed in this study to achieve the uncertainty quantification of train-track-bridge interactions. In the method, a 3D train-bridge dynamic model is constructed, in which the ballastless tracks and the bridge girders are integrated as an integral system, and the nonlinear wheel-rail interactions are considered. The track-bridge time-varying coupled method is introduced to improve the modeling and solution efficiency. As the main system excitation, a method for characterizing the ergodic wavelength and amplitude properties of track irregularities is introduced, through which the train-track-bridge system responses can be fully revealed. By introducing a probability density evolution method, an accurate and efficient probabilistic assessment of the influence of track random irregularities on system responses can be achieved. In comparison with the generally used methods, this present work is capable of conducting more complete and accurate evaluation for random vibrations of train-track-bridge systems. Furthermore, the stability of train operation and ride comfort are evaluated for different running speeds and different track geometric conditions. The results show that considering the impact of full probability irregularities is crucial in the random analysis of the train-track-bridge system.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818157","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

Analytic solution for an underground tunnel of arbitrary shape at a moderate depth 中等深度任意形状地下隧道的解析解

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-10 DOI: 10.1007/s00419-025-02802-x

Cheng Huang, Kui Miao, Chuanbin Yu

{"title":"Analytic solution for an underground tunnel of arbitrary shape at a moderate depth","authors":"Cheng Huang, Kui Miao, Chuanbin Yu","doi":"10.1007/s00419-025-02802-x","DOIUrl":"10.1007/s00419-025-02802-x","url":null,"abstract":"<div><p>This paper focuses on the analytic determination of the stress field around a horizontal tunnel buried in an elastic medium at a moderate depth. The cross section of the tunnel is assumed to be arbitrary, and the medium is subjected to a vertical gravity and a lateral pressure in the horizontal direction. In contrast to the cases of deep-buried tunnels in which a constant initial stress field induced by the gravity and lateral pressure before tunnel excavation is used to derive corresponding classical solutions, the current case of a moderate-depth tunnel necessitates the consideration of a non-constant initial stress field varying linearly with the depth coordinate. In this setting, we employ several analytic techniques, in the context of the complex variable formalism for plane elasticity, to derive a modified solution for the full stress field in the medium after tunnel excavation and obtain a closed-form formula for evaluating the hoop stress around the tunnel. Comparisons with the finite element results, for a rectangle-semicircle-shaped tunnel at a depth approximately equal to two times the diameter of the tunnel, are made to validate the modified solution. Numerical examples are presented to illustrate the stress concentration around moderate-depth tunnels of equilaterally triangular shape, square shape and rectangle-semicircle shape. It is found that the modified solution deviates significantly from the classical counterpart in determining the stress concentration at the corners of the above-mentioned tunnels, and the differences between the modified and classical solutions depend highly on the ratio of the lateral pressure to the vertical pressure (caused by gravity).</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818284","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

Length-dependent wave propagation and directionality in microtubule-based metamaterials based on the consistent couple stress theory 基于一致耦合应力理论的微管基超材料中波长相关的波传播和方向性

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-04-09 DOI: 10.1007/s00419-025-02800-z

Soroush Sepehri

{"title":"Length-dependent wave propagation and directionality in microtubule-based metamaterials based on the consistent couple stress theory","authors":"Soroush Sepehri","doi":"10.1007/s00419-025-02800-z","DOIUrl":"10.1007/s00419-025-02800-z","url":null,"abstract":"<div><p>The vital role of microtubule networks in crucial cell processes such as cell division and organization of the cell components have encouraged researchers to investigate their properties to a wider extent. However, it has been shown that mechanical properties of microtubules are length-dependent. Therefore, classical continuum theories are incapable of reaching a comprehensive mechanical model for predicting their behavior and higher-order theories are required. Present manuscript aims to investigate the length-dependent wave propagation in microtubule-based periodic lattices of various topologies. To that aim, the consistent couple stress theory is utilized to take the size-dependency into account. Furthermore, the governing equations of motion for the periodic chains of microtubules are solved adopting the finite element method. Results prove that the length-dependency of the behavior of microtubules can affect the wave propagation and filtering capabilities of microtubule-based metamaterials; therefore, size effects need to be considered in modeling the dynamic properties of microtubule-based chains. Moreover, the results obtained by the consistent couple stress theory is compared to the predictions of the modified couple stress theory as well as the classic continuum theory. It is found that higher stiffness predicted by the consistent couple stress theory can lead to a significant change in the wave propagation characteristics of microtubule-based periodic lattices.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 4","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809282","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