Archive of Applied Mechanics最新文献

{"title":"An edge dislocation interacting with a compressible liquid inclusion of arbitrary shape","authors":"Xu Wang,&nbsp;Peter Schiavone","doi":"10.1007/s00419-025-02852-1","DOIUrl":"10.1007/s00419-025-02852-1","url":null,"abstract":"<div><p>We derive a closed-form solution to the plane strain problem of a compressible liquid inclusion of arbitrary shape embedded in an infinite isotropic elastic matrix subjected to an edge dislocation. The arbitrary shape of the liquid inclusion is reflected in the fact that the conformal mapping function that maps the exterior of the liquid inclusion onto the exterior of the unit circle in the image plane contains an arbitrary number of terms. Using a modified form of analytic continuation, we develop a set of coupled linear algebraic equations with quite simple structure. Once the set of linear algebraic equations is solved, the internal uniform hydrostatic stress field within the liquid inclusion and the elastic field in the matrix induced by the edge dislocation are completely determined.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167339","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":"Particle Breakage: Exploring the numerical and experimental approaches in crushable soil mechanics","authors":"Nazanin Irani,&nbsp;Merita Tafili,&nbsp;Mohammad Salimi,&nbsp;Meisam Goudarzy,&nbsp;Torsten Wichtmann","doi":"10.1007/s00419-025-02845-0","DOIUrl":"10.1007/s00419-025-02845-0","url":null,"abstract":"<div><p>The breakage phenomenon has gained attention from geotechnical and mining engineers primarily due to its pivotal influence on the mechanical response of granular soils. Numerous researchers performed laboratory tests on crushable soils and incorporated the corresponding effects into numerical simulations. A systematic review of various studies is crucial for gaining insight into the current state of knowledge and for illuminating the required developments for upcoming research projects. The current state-of-the-art study summarizes both experimental evidence and numerical approaches, particularly focusing on discrete element simulations and constitutive models used to describe the behavior of crushable soils. The review begins by exploring particle breakage quantification, delving into experimental evidence to elucidate its influence on the mechanical behavior of granular soils, and examining the factors that affect the breakage phenomenon. In this context, the accuracy of various indices in estimating the extent of breakage has been assessed through ten series of experiments conducted on different crushable soils. Furthermore, alternative breakage indices are suggested for constitutive models to track the evolution of particle crushing under continuous shearing. Regarding numerical modeling, the review covers different approaches using the discrete element method (DEM) for simulating the behavior of crushable particulate media, discussing the advantages and disadvantages of each approach. Additionally, different families of constitutive models, including elastoplasticity, hypoplasticity, and thermodynamically based approaches, are analyzed. The performance of one model from each group is evaluated in simulating the response of Tacheng rockfill material under drained triaxial tests. Finally, new insights into the development of constitutive models and areas requiring further investigation utilizing DEM have been highlighted.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02845-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167874","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":"Fractional-based nonlinear mechanical system modeling with FELEs: numerical analysis of oscillatory and nonoscillatory behavior of the inverted pendulum system","authors":"Esra Demir,&nbsp;Ibrahim Ozkol","doi":"10.1007/s00419-025-02860-1","DOIUrl":"10.1007/s00419-025-02860-1","url":null,"abstract":"<div><p>This paper examines the behavior of the inverted pendulum, a notably nonlinear system, in fractional dimensions using different fractional derivative types and order. The inverted pendulum, a two-degree-of-freedom system, exhibits both linear behavior due to the cart’s motion in the horizontal plane and oscillatory behavior due to the pendulum’s angular motion. Initially, the system’s equations of motion have been derived using the classical Euler–Lagrange equation (CELE), thereby obtaining the classical integer-order model. Subsequently, the fractional model has been developed using the fractional Euler–Lagrange equation (FELE) with the Riemann-Liouville and the Caputo–Fabrizio fractional derivatives. The results of the models obtained were shown in the simulation platform and presented comparatively. In this paper, the impact of fractional-order modeling on both oscillatory and nonoscillatory motions of mechanical systems is analyzed. This is achieved by introducing the inverted pendulum model and employing two different types of fractional-order derivatives.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02860-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168173","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":"Nonlinear vibration of fractional viscoelastic piezoelectric nanobeams based on nonlocal theory","authors":"Nan Chong,&nbsp;Liyuan Wang,&nbsp;Dongxia Lei,&nbsp;Zhiying Ou","doi":"10.1007/s00419-025-02859-8","DOIUrl":"10.1007/s00419-025-02859-8","url":null,"abstract":"<div><p>This paper investigates the nonlinear vibrations of fractional viscoelastic piezoelectric nanobeams based on nonlocal theory and Euler–Bernoulli beam theory. A nonlinear fractional nonlocal Euler–Bernoulli beam model is established, incorporating the concept of fractional derivatives, considering that piezoelectric nanobeams are subjected to both applied voltage and uniform temperature conditions. The nonlinear governing equations and boundary conditions are derived through Hamilton's principle. During the solution process, the fractional integral–partial differential governing equation is initially transformed into a time-domain fractional-order ordinary differential equation using the Galerkin method. Subsequently, the resulting nonlinear time-varying equation of fractional order is addressed using a predictive correction method. Eventually, a detailed analysis is presented, examining the effect of nonlocal parameters, fractional derivatives, viscoelastic coefficients, and applied voltages have an influence on the nonlinear time response of beams. Our findings indicate that there exists a correlation between the fractional order and the nonlinear vibration behavior of viscoelastic piezoelectric nanobeams. Specifically, the system damping increases with rising fractional orders. Therefore, it is crucial to account for considering the influence of fractional order when investigating materials exhibiting viscoelastic characteristics. Additionally, both nonlocal parameters and piezoelectric properties play a significant role in shaping their nonlinear vibration behavior.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168174","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":"Vibro-acoustic analysis of built-up laminated plate-cavity coupled system using modified Ritz method","authors":"Jinpeng Su,&nbsp;Yiqiang Jiang,&nbsp;Zhiyang Lei,&nbsp;Jianxing Jiang,&nbsp;Zhengmin Hu","doi":"10.1007/s00419-025-02854-z","DOIUrl":"10.1007/s00419-025-02854-z","url":null,"abstract":"<div><p>In this paper, a vibro-acoustic modeling method is developed for built-up laminated plate-cavity coupled system based on a unified modified Ritz method. Using the first-order shear deformation theory, the energy equations of the laminated plate are derived and the potential energy functions for the coupling between the neighboring plates are achieved according to artificial spring method. Helmholtz equation is employed to formulate the energy functions for the closed acoustic cavity. Then, the fluid–structure interactions are incorporated by the work due to the acoustic pressure acted on plates and displacement continuity at the interfaces. To satisfy the complex coupling interface restricts, an improved Fourier series is introduced as the unified basis functions for both the displacements of the built-up plates and acoustic pressures of the cavity. Based on the Hamilton’s principle, the vibro-acoustic model for the built-up laminated plate-cavity coupled system is established. Free and forced vibro-acoustic properties of the coupled system are studied. Both mechanical and acoustic loads are considered. The convergence, accuracy and efficiency of the developed method are demonstrated by comparing the results with finite element analysis. The influences of vibro-acoustic coupling on the modal and forced vibro-acoustic properties are then examined.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167057","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":"Flow and heat transfer between co/counter-rotating cone-plate apparatus: full solutions","authors":"Mustafa Turkyilmazoglu","doi":"10.1007/s00419-025-02863-y","DOIUrl":"10.1007/s00419-025-02863-y","url":null,"abstract":"<div><p>This study revisits the cone-disk apparatus, considering the novel scenario where both the cone and the disk can rotate simultaneously, either in the same or opposite directions, about the axis of rotation. We demonstrate that an ideal peripheral velocity and temperature field develops for the incompressible Newtonian fluid within the gap region between the cone and the disk. We derive exact formulas for the peripheral velocity and temperature distribution as functions of latitudinal and radial coordinates. These formulas simplify to existing data when one device remains stationary. However, with simultaneous rotation, the momentum and thermal behaviors deviate from the traditional case. By analyzing the generated velocity field, we extract the progression of wall shears on both surfaces and the torque required to maintain steady rotation. Interestingly, these quantities exhibit a linear relationship with the rotation ratio parameter. Our viscous heating analysis reveals that the temperature within the gap grows proportionally to the square of the rotation ratio parameter. Consequently, the rate of heat transfer from both the cone and disk surfaces is formulated as the square of this parameter. The presented explicit expressions also allow for the straightforward identification of threshold cone/disk angles at which distinct phenomena emerge in the velocity and temperature fields. From a physical perspective, our findings indicate that flow reversal occurs at a critical gap angle when counter-rotation is present. Additionally, narrower cone-disk configurations experience higher temperatures, and enhanced heat transfer rates occur from the cone, further amplified by the rotation ratios.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-025-02863-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166686","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":"Buckling and yielding interactions in pyramidal trusses: a comprehensive analytical and numerical investigation","authors":"William T. M. Silva,&nbsp;Geovany F. Barrozo,&nbsp;A. Portela","doi":"10.1007/s00419-025-02862-z","DOIUrl":"10.1007/s00419-025-02862-z","url":null,"abstract":"<div><p>Pyramidal trusses, prized for their inherent geometric rigidity, high strength-to-weight ratio, and efficient load distribution, are becoming increasingly crucial across diverse engineering disciplines, including aerospace, mechanical engineering, and energy absorption systems. Recent progress in additive manufacturing and 3D printing has further broadened their utility in creating lightweight, high-performance structures, especially within the aerospace sector. This paper offers a thorough analysis of truss instabilities by employing the Green–Lagrange strain tensor, integrating both analytical and numerical methods to assess local buckling, length imperfections, geometric imperfections, and material plasticity. A novel technique, leveraging the determinant and eigenvalues of the tangent stiffness matrix, is introduced to accurately pinpoint critical points along the primary equilibrium path. The study underscores the significant impact of geometric and length imperfections, as well as plasticity and Euler buckling, on equilibrium paths and overall stability, effectively demonstrating how these factors affect the truss’s structural performance. In conclusion, this research enhances the structural analysis of pyramidal trusses, providing valuable insights for their design and implementation in contemporary engineering applications.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165445","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":"Nonlinear stability and subcritical dynamics of ferroconvection with couple stresses under thermal non-equilibrium in porous media","authors":"Akanksha Thakur,&nbsp;Sunil Kumar,&nbsp;Reeta Devi","doi":"10.1007/s00419-025-02864-x","DOIUrl":"10.1007/s00419-025-02864-x","url":null,"abstract":"<div><p>The present work contributes to advancing the theoretical understanding of ferroconvection phenomena in porous media, which is critical for engineering applications involving magnetic nanofluids, such as biomedical cooling, energy systems, and microfluidics. This study aims to investigate the nonlinear stability and subcritical dynamics of ferroconvection in porous media under local thermal non-equilibrium (LTNE) conditions, with a focus on the mechanical behavior of ferrofluids influenced by couple stresses, magnetization, and medium properties. The ferrofluid flow is modeled using the Darcy–Brinkman framework, coupled with a two-field energy model to capture LTNE effects. Linear stability is analyzed via normal mode analysis, while nonlinear behavior is examined through the energy method. A single-term Galerkin approach is employed to solve the resulting eigenvalue problems under three thermal boundary conditions: free–free, rigid–free, and rigid–rigid. The results reveal the existence of a subcritical region characterized by differences between linear and nonlinear Rayleigh numbers. Key parameters, including magnetization, couple stresses, medium permeability, porosity-modified conductivity ratio, and interphase heat transfer coefficient, are examined for their influence on stability and subcritical behavior. These results provide important design insights for controlling ferrofluid behavior in porous systems under magnetic and thermal gradients.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 7","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165442","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":"Assessing the impact of ramp-type heating on 1D skin tissue behavior with the Moore–Gibson–Thompson heat transfer model","authors":"Debarghya Bhattacharya,&nbsp;Mridula Kanoria","doi":"10.1007/s00419-025-02857-w","DOIUrl":"10.1007/s00419-025-02857-w","url":null,"abstract":"<div><p>The present study investigates the thermal and elastic responses of skin tissue using a modified Moore–Gibson–Thompson thermal conduction model, incorporating multiple time derivatives. We consider a thin skin tissue layer, modeled as a one-dimensional system with clamped mechanical edges, subjected to ramp-type thermal loading on the outer surface. Additionally, no heat transfer occurred at inner surface. The Laplace transform technique and its numerical reversal are implemented to find analytical–numerical solutions involving thermophysical fields, such as dimensionless temperature, displacement, dilatation, and stress. The study employs the Moore–Gibson–Thompson (MGT) bioheat conduction model to predict temperature distributions in skin tissue. Our findings offer significant insights into skin tissue’s thermal behavior under specific conditions, providing a richer understanding of its thermal response and advancing knowledge in the field.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143299","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":"Anisotropic soil–foundation–tunnels dynamic interaction by BEM","authors":"Sonia Parvanova,&nbsp;Petia Dineva","doi":"10.1007/s00419-025-02858-9","DOIUrl":"10.1007/s00419-025-02858-9","url":null,"abstract":"<div><p>The subject of the current paper is the dynamic behaviour of anisotropic half-plane with surface relief containing a flexible or rigid foundation and two buried lined or unlined tunnels under time-harmonic waves radiated via embedded line source. The aim is to anticipate the influence of different model key factors such as (a) the soil topography; (b) the soil anisotropy; and (c) the soil–tunnels and soil–foundation–tunnels interaction. The computational tool is the direct boundary element method (BEM) based on the frequency-dependent fundamental solution for 2D general anisotropic solid derived by the Radon transform. The lined tunnels are implemented in the numerical model by the sub-structuring approach, which allows an efficient numerical processing of integrals along the interface boundaries. Numerical scheme verification and parametric studies are performed, and respective concluding remarks are summarized. The obtained results clearly illustrate the dynamic response sensitivity to the soil anisotropy, the soil topography and the complex soil–foundation–tunnels interaction.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143280","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}