Archive of Applied Mechanics最新文献

{"title":"A 3D lattice metamaterial with high structural stiffness, load-bearing capacity, and vibration isolation in low frequency","authors":"Yikun Du,&nbsp;Yi Xiao,&nbsp;Muhammad Ayaz Akbar,&nbsp;Sergey Sheshenin,&nbsp;Alexander Sakharov,&nbsp;Tamara Kalaida,&nbsp;Zixun Lin,&nbsp;Qing-Hua Qin","doi":"10.1007/s00419-026-03140-2","DOIUrl":"10.1007/s00419-026-03140-2","url":null,"abstract":"<div><p>Metamaterials with diverse lattice geometries exhibit unique properties. However, for elastic metamaterials, achieving vibration isolation within the band gap in the low-frequency range, under the condition of fixed lattice dimensions, often compromises structural stiffness and strength, thereby limiting their practical applications. This study introduces a 3D unit cell structure that integrates excellent mechanical properties with ultra-broadband low-frequency vibration isolation. The design incorporates a stiff periodic orthogonal connected surface inspired by triply periodic minimal surfaces, with rubber as the connecting material and lead blocks as oscillators. Analysis of the cell’s band structure and vibration modes of the unit cell reveals that a low-frequency band gap can be generated through local resonance between the lead blocks and the thin-wall structure. Additionally, material damping significantly enhances vibration attenuation. To assess the impact of rubber’s viscous damping on vibration isolation, the viscous coefficient of the rubber material is determined experimentally. A prototype is fabricated via 3D printing, and its transmission spectrum is analyzed through numerical calculations and vibration experiments to validate elastic wave attenuation. Experimental results confirm that at low frequencies, vibration attenuation is primarily governed by the local resonance band gap, while rubber’s viscous damping contributes predominantly in the high-frequency range. Rather than arising from damping alone, the observed wide low-frequency vibration attenuation results from the synergy between bandgap mechanisms and viscoelastic dissipation. This combination enables effective broadband vibration isolation. Quasi-static compression experiments on a single unit cell demonstrate the metamaterial’s excellent static load-bearing capacity. This structure provides novel design insights for advancing the practical application of lattice elastic metamaterials.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380526","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":"Unified impact of nonlocal surface/interface elasticity on the torsional wave in layered composite structures","authors":"Sudarshan Dhua,&nbsp;Subrata Mondal,&nbsp;Neelima Bhengra","doi":"10.1007/s00419-026-03138-w","DOIUrl":"10.1007/s00419-026-03138-w","url":null,"abstract":"<div><p>This study investigates torsional wave propagation in a piezoelectric fiber-reinforced composite (PFRC)-layered structure using unified nonlocal surface/interface elasticity. The PFRC is modeled as a composite comprising piezoelectric fibers embedded within an epoxy matrix. Micro-mechanical analyses are conducted to determine the effective material properties of the PFRC using the strength-of-materials (SM) approach and the rule-of-mixtures (RM) technique. The general governing equations are formulated based on the principles of nonlocal electromechanical theory by incorporating an intrinsic material length scale to account for size-dependent effects. Surface effects are introduced through the Gurtin–Murdoch (G-M) surface elasticity model, which is applied to the boundary conditions of the composite structure. The dispersion relation for torsional waves is obtained under non-classical boundary conditions, utilizing the surface/interface theory. Numerical simulations reveal the significant influence of the coupled effects of nonlocality and surface elasticity on the behavior of propagating torsional waves. Parametric studies are conducted to illustrate the impact of nonlocal interactions, surface/interface parameters, fiber volume fractions, and material heterogeneities on the phase velocity and mode shapes of the waves. The findings highlight the critical role of multiscale effects in accurately modeling wave propagation in PFRC structures.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380851","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":"Oblique wave scattering by a bottom-mounted perforated semicircular breakwater under ice cover","authors":"Minakshi Ghosh,&nbsp;Mita Majumder,&nbsp;Dilip Das","doi":"10.1007/s00419-026-03137-x","DOIUrl":"10.1007/s00419-026-03137-x","url":null,"abstract":"<div><p>Submerged, seabed-mounted perforated semicircular breakwaters (SBWs) can serve as effective structures for reducing wave energy beneath ice-covered waters, where incident waves often fracture and destabilise sea ice. To investigate this, a linear potential flow model based on the multipole expansion method is developed to study oblique wave scattering by such a breakwater beneath a floating ice cover, modelled as a thin elastic plate. The model is validated against established results for the free surface case and shows excellent agreement. Unlike the free surface model, the presence of the ice cover introduces flexural rigidity, which significantly modifies the hydrodynamic response by altering the reflection and transmission characteristics. In particular, ice rigidity governs the partitioning of wave energy, with stiffer ice enhancing reflection and suppressing transmission, while more flexible ice promotes wave propagation beneath the cover. Additionally, higher porosity increases transmission, whereas larger incidence angles (<span>(beta = 75^circ )</span>) lead to stronger reflection. These findings highlight the important role of ice cover in governing wave–structure interaction and the potential of such structures to limit wave-induced ice breakup in polar and subpolar regions.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380896","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":"Active vibration control of rotating conical shells over operational speed range via piezoelectric patches","authors":"Ziying Song,&nbsp;Shupeng Sun,&nbsp;Hao Liu,&nbsp;Lin Zhang","doi":"10.1007/s00419-026-03130-4","DOIUrl":"10.1007/s00419-026-03130-4","url":null,"abstract":"<div><p>This paper investigates the active vibration control of rotating conical shells over operational speed range via piezoelectric patches. The rotational motion of shells induces Coriolis forces and initial circumferential stresses, which significantly alter their vibration characteristics compared to stationary counterparts. This phenomenon exhibits pronounced speed dependence, complicating vibration control efforts. In light of the gaps identified in the existing literature, this paper makes the following key contributions: (1) An electromechanical model of rotating conical shells with piezoelectric patches is developed, considering the influence of circumferentially moving loads; (2) modal truncation and convergence analysis are carried out according to the excitation force spectrum; then, an LQR controller is designed to effectively suppress multi-mode vibrations of the rotating conical shell; (3) the mini–max QPSO algorithm utilized in the operating-range-wide vibration control of thin-walled cylinders is extended for the first time to the active vibration control of rotating conical shells over the operational speed range. The work presents a feasible solution for the active vibration control of rotating conical shells, which may provide valuable insights for structural vibration suppression in relevant rotating machinery.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380279","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":"Microstructure modeling and computational micromechanics of glued metallic hollow-sphere composites","authors":"Lukas Jabs,&nbsp;Xin Zhou,&nbsp;Lars Penter,&nbsp;Steffen Ihlenfeldt,&nbsp;Matti Schneider","doi":"10.1007/s00419-026-03139-9","DOIUrl":"10.1007/s00419-026-03139-9","url":null,"abstract":"<div><p>This work is devoted to generating and investigating microstructure representations of glued hollow-sphere assemblies, which combine low weight with excellent damping properties for use in machine tools. As a first step, we model the microstructure of such assemblies based on a dedicated analysis of the size distribution of the hollow spheres. To model the glue, we augment a preliminary sphere packing with dedicated closing and erosion operations, prevalent in mathematical morphology. Notably, for spheres, a level-set representation of the result of the closing and erosion operations can be computed analytically based on specific Dirichlet diagrams. In this way, we obtain a resolution-independent description of the glue phase for irregular sphere arrangements. Once the microstructure is generated, we furnish the individual phases with the elastic properties of the involved materials. We use FFT-based computational micromechanics tools to compute the effective elastic properties of the assemblies and study the influence of various factors, like the sphere-size distribution, the thickness of the shell, and the employed material parameters. Of particular importance here is the use of composite voxels, which in turn rely on the previously derived level-set representation. The developed modeling approach determines the elastic material properties of the hollow-sphere composite (HSC) and identifies the leading influences as the shell thickness, the glue phase volume fraction, and the sphere packing density. This approach aligns well with the validated structure, which has an average sphere diameter of 2.85 mm, a wall thickness of 72 <span>(upmu )</span>m, a sphere packing density of 54%, and an epoxy volume fraction of 16.2%.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13315308/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148358895","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 equations for the determination of temperature and heat flux in the three-phase-lag theory with application","authors":"Asmaa Fawzy,&nbsp;E. K. Rawy,&nbsp;W. Mahmoud,&nbsp;A. F. Ghaleb","doi":"10.1007/s00419-026-03132-2","DOIUrl":"10.1007/s00419-026-03132-2","url":null,"abstract":"<div><p>In a previous study, the authors proposed a new nonlinear system of governing equations of a three-phase-lag model for a rigid thermal conductor, where a thermodynamically consistent free energy function and dissipation function were formulated. To illustrate the applicability of this model, a simple numerical one-dimensional example is presently solved using Mathematica, and the results are plotted and discussed. The thermal conductivity is taken to vary linearly with temperature. For the sake of conciseness, contributions of higher order than quadratic are disregarded. Comparisons are carried out graphically, to put in evidence the differences between the present model and the classical heat equation for temperature in three-phase-lag model, as well as the effect of nonlinearity. This allows to validate the obtained results. The novelty of this work lies in extending the TPL framework to nonlinear regimes coupling temperature, heat flux, and thermal displacement, while preserving thermodynamic consistency, thus providing new insights into advanced heat conduction modeling.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380818","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":"Asymmetric bending and crack breathing: a mechanics-consistent model for fatigue cracks in rotating shafts","authors":"H. M. Mobarak,&nbsp;Helen Wu,&nbsp;Richard Chunhui Yang,&nbsp;Md Mofijur Rahman","doi":"10.1007/s00419-026-03135-z","DOIUrl":"10.1007/s00419-026-03135-z","url":null,"abstract":"<div><p>Fatigue cracks in rotating shafts introduce nonlinearity in stiffness due to crack breathing, directly affecting vibration response and structural integrity. Precise prediction of this behaviour needs a mechanics-consistent representation of the cracked cross-section, particularly when asymmetric bending occurs. Most existing analytical models rely on simplified assumptions, such as a neutral axis that remains parallel to the geometric centroid axes, which can lead to significant errors in estimating the closed crack area and the associated area moments of inertia. This paper presents an advanced analytical framework for modelling fatigue crack breathing in a rotating shaft by explicitly accounting for asymmetric bending and the inclination of the neutral axis in the cracked cross-section. Closed-form expressions are derived for the cracked and uncracked areas, centroid coordinates, and area moments of inertia for fully open, partially closed, and fully closed crack states. An iterative refinement procedure is used to achieve convergence of centroid location, neutral axis inclination, and sectional properties. The proposed model is implemented in MATLAB and validated against three-dimensional finite element simulations and a widely cited reference model. The results demonstrate that the neutral axis is normally inclined for partially open or fully open cracks and becomes horizontal only when the crack is fully closed. Overlooking this inclination leads to a systematic overestimation of the closed crack area and noticeable errors in area moment of inertia predictions. The proposed formulation provides improved mechanical fidelity and is well-suited for integration into rotodynamic models aimed at vibration analysis and predictive maintenance of rotating machinery.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03135-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323610","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":"On the use of spectral meshfree method for nonlinear bending analysis of functionally graded plates","authors":"Amina Hammou,&nbsp;Youssef Hilali,&nbsp;Said Mesmoudi,&nbsp;Radouane Boujmal,&nbsp;Omar Askour,&nbsp;Oussama Bourihane","doi":"10.1007/s00419-026-03113-5","DOIUrl":"10.1007/s00419-026-03113-5","url":null,"abstract":"<div><p>The present work focuses on the nonlinear bending behavior of plates made of functionally graded material (FGM) subjected to various loading conditions, while previous studies have primarily focused on linear analyses or considered limited nonlinear cases. A novel contribution is provided by formulating the Reissner–Mindlin plate equilibrium equations in strong form using a hybrid numerical strategy that couples the ANM with a spectral Chebyshev collocation meshfree approximation, enabling highly accurate solutions in both linear and nonlinear regimes. Unlike conventional mesh-based approaches, the present formulation solves the equilibrium equations in strong form without meshing constraints, offering clear advantages for problems involving large deflections. The number of degrees of freedom is reduced by using spectral approximation compared to other meshfree methods, while ensuring rapid convergence and high accuracy. Based on the Reissner–Mindlin plate theory, the method effectively incorporates shear deformation effects in moderately thick plates. A key originality lies in the strong matrix formulation expressed in terms of generalized forces, yielding a simple and physically intuitive implementation. Validation against analytical and numerical benchmarks affirms the efficiency and robustness of the introduced framework for tracing complex nonlinear equilibrium paths. The results highlight its potential for advancing the modeling of functionally graded structures undergoing large deflections, while recognizing that the density of spectral stiffness matrices may increase computational cost.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323134","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":"Mixed-mode fracture analysis of orthotropic strips with multiple interacting cracks under localized thermo-mechanical loading","authors":"Amir Hossein Fartash,&nbsp;Siegfried Schmauder","doi":"10.1007/s00419-026-03116-2","DOIUrl":"10.1007/s00419-026-03116-2","url":null,"abstract":"<div><p>An exact analytical procedure is addressed for the thermoelasticity problem in orthotropic strips containing multiple interacting cracks subjected to concentrated thermo-mechanical loadings. As the first step, the distributed dislocation technique in conjunction with complex Fourier transform is employed to derive expressions for heat flux and in-plane stress fields created by a single thermoelastic dislocation. Both temperature gradients and stress components reveal Cauchy-type singularities. These fundamental solutions underpin the computation of mixed-mode stress intensity factors (Modes I and II) for arbitrarily oriented interacting cracks by solving a system of singular integral equations based on the thermomechanical dislocation distribution function. The singular integral equations account for crack-crack interactions and thermal–mechanical coupling, solved efficiently via a numerical discretization scheme. Results demonstrate the profound influence of crack positioning, orientation, and proximity of thermal loads on mixed-mode SIFs. Moreover, the effects of various orthotropic material constants on mixed-mode SIFs and the variations of energy release rate of cracks affected by local thermal load is addressed as well. The method delivers a highly robust and computationally efficient platform for accurate fracture predictions in orthotropic media under complex coupled loading conditions.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323135","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":"Inhomogeneous plane waves at an interface of orthotropic elastic half-spaces with voids","authors":"Do Xuan Tung","doi":"10.1007/s00419-026-03129-x","DOIUrl":"10.1007/s00419-026-03129-x","url":null,"abstract":"<div><p>In this paper, we study the propagation of inhomogeneous plane waves in an orthotropic elastic medium with voids. We use the mixed specification and the componental specification of the slowness vector to define the propagation of an inhomogeneous incident wave and the reflected, transmitted waves. The problem of the reflection and transmission of plane waves at a plane interface between two orthotropic half-spaces with voids is discussed. Numerical examples are considered to illustrate the effects of void parameters and the inhomogeneity of incident wave on the phase velocities, on the phase direction and attenuation angles of waves, and on the reflection and transmission coefficients. Furthermore, we also investigate the existence of both homogeneous and inhomogeneous incident waves.\u0000</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 7","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148323235","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}