Archive of Applied Mechanics最新文献

{"title":"Bayesian and Genetic Algorithm optimization for vibrational analysis of porous functionally graded plate resting on viscoelastic foundations using a refined quasi-3D theory","authors":"Arun Kumar,&nbsp;Akshat Sharma,&nbsp;Ankit Gupta","doi":"10.1007/s00419-026-03215-0","DOIUrl":"10.1007/s00419-026-03215-0","url":null,"abstract":"<div><p>This study presents a unified computational framework for predicting and optimizing the vibrational response of porous plates on viscoelastic foundations through the integration of refined quasi-three-dimensional shear deformation theory and advanced optimization strategies. A trigonometric shear deformation function incorporating thickness stretching is employed to accurately capture the plate kinematics without requiring a shear correction factor. The plate–foundation interaction is represented using a three-parameter visco-Winkler–Pasternak foundation, and the governing equations are derived using Hamilton’s principle. The Navier solution is subsequently employed to determine the natural frequencies of the plate. The accuracy of the proposed formulation is established through comparison with benchmark results reported in the literature, demonstrating good agreement. A comprehensive parametric investigation is performed to examine the effects of porosity volume fraction (<span>(varphi)</span>), power-law index (<i>P</i>), thickness ratio (<span>(a/h)</span>), and damping coefficient (<span>({c}_{text{d}})</span>) on the non-dimensional frequency (NDF). The results indicate that an increase in porosity volume fraction consistently reduces the NDF due to the associated degradation in structural stiffness. To reduce the computational cost of repeated numerical simulations, a Random Forest-based surrogate model is developed using the generated dataset. The surrogate model demonstrates high predictive capability, achieving an <i>R</i>² value of 0.987. The trained surrogate is subsequently integrated with Bayesian Optimization and Genetic Algorithm to efficiently explore the seven-parameter design space. The optimization yields a minimum NDF of 0.001463, outperforming the corresponding Genetic Algorithm result of 0.001671. The proposed framework therefore establishes a computationally efficient data-driven methodology for vibration prediction, parameter exploration, and optimal design of porous functionally graded plates resting on viscoelastic foundations.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338696","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":"Data-driven layerwise method of composite laminated plates","authors":"Dinghe Li,&nbsp;Wenbo Xing,&nbsp;Zongqi Li,&nbsp;Aoshuang Wan","doi":"10.1007/s00419-026-03205-2","DOIUrl":"10.1007/s00419-026-03205-2","url":null,"abstract":"<div><p>Data-driven computational mechanics (DDCM) provides an alternative framework for describing material behaviors by directly utilizing discrete material datasets rather than relying on explicitly prescribed constitutive relations. Existing DDCM studies have been coupled with various structural theories to enhance the capability of representing complex structural responses. In this study, a data-driven layerwise method (DDLM) is proposed by integrating DDCM with a layerwise formulation for laminated composites. The proposed framework inherits the layerwise kinematics of LM to describe layer-dependent through-thickness responses while reducing the dependence on explicitly prescribed constitutive relations through database-based material-state retrieval. To accelerate nearest-neighbor searches in large-scale material databases, a multilevel mesh refinement acceleration algorithm (MRAA) is developed. MRAA introduces hierarchical phase-space refinement and lower-bound pruning strategy to progressively reduce the search region while maintaining exact nearest-neighbor retrieval accuracy. The effects of mesh density, refinement levels, and database size on the computational efficiency of the multilevel MRAA are also investigated, reducing computational time by up to 99.67% compared with the exhaustive search for a 500³-point database and achieving a maximum speedup of approximately 4 times compared with the exact KD-tree search.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149339618","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":"Coupled nonlinear dynamics of a pendulum with time-varying mass and length","authors":"L. Cveticanin","doi":"10.1007/s00419-026-03210-5","DOIUrl":"10.1007/s00419-026-03210-5","url":null,"abstract":"<div><p>This paper investigates the nonlinear dynamics of a pendulum with simultaneously time-varying mass and length, representing a class of non-autonomous mechanical systems relevant to cranes, robotic manipulators, and energy-harvesting devices. The novelty of the present study lies in the explicit coupling of mass variation and length variation within a single dynamical framework, providing a unified nonlinear model capable of simultaneously capturing these interacting mechanisms. A generalized equation of motion is derived using the Lagrange–Meshchersky formulation, rigorously accounting for both parametric excitation due to length variation and reactive effects induced by mass variation. For the practically important case of weak nonlinearity and slow parameter variation, an analytical solution is developed based on an amplitude-corrected cosine approximation with slowly varying amplitude and phase. The proposed approach captures the intrinsic interaction between inertia variation and geometric nonlinearity, providing improved accuracy compared to the classical harmonic approximation. The analysis reveals that mass variation primarily governs amplitude modulation, while length variation affects the oscillation frequency through parametric mechanisms. Explicit conditions are derived under which the oscillation amplitude remains constant despite simultaneous variations of mass and length, demonstrating that coordinated parameter evolution can compensate nonlinear effects. Numerical simulations confirm the validity and accuracy of the proposed analytical solution, with deviations below 3% compared to numerical results. The presented model provides a unified framework for analyzing coupled variable-mass and variable-length oscillators and offers practical insights for vibration prediction and control in engineering systems with evolving mass and geometry.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149339371","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":"A finite-length moving crack along the interface of two dissimilar one-dimensional hexagonal piezoelectric quasicrystals","authors":"Jin-Long Zhang,&nbsp;Yan-Bin Zhou","doi":"10.1007/s00419-026-03217-y","DOIUrl":"10.1007/s00419-026-03217-y","url":null,"abstract":"<div><p>The anti-plane shear problem of a finite-length crack moving at a uniform velocity along the interface of two different one-dimensional (1D) hexagonal piezoelectric quasicrystals (PQCs) is investigated. By using the Fourier transform, the mixed boundary-value problem is reduced to the solution of dual integral equations. Through theoretical derivation and numerical analysis, the mechanical characteristics and electrical responses of crack propagation are studied. Explicit solutions for the mechano-electro-elastic fields of the uniformly moving crack in the periodic plane and the dynamic field intensity factors at the crack tip are derived. Based on the maximum stress <span>(sigma _{ztheta }^{j})</span>, the preferred direction of crack branching is predicted. Under this assumption, the preferred crack branch angle or kinking angle is analyzed. The influences of the crack moving velocity, applied loads, and material constants on the preferred crack propagation direction are numerically analyzed. The study reveals that interfacial properties between dissimilar PQCs play a significant role in determining preferred crack propagation paths and stress field distributions. Furthermore, when the crack propagation velocity exceeds the critical value, crack branching occurs, and the preferred branching angle increases with increasing velocity.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338976","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":"Generalized physical neutral surface approach for FGM plates by considering the through-thickness variation of the Poisson’s ratio","authors":"Shi-Rong Li","doi":"10.1007/s00419-026-03195-1","DOIUrl":"10.1007/s00419-026-03195-1","url":null,"abstract":"<div><p>It is well known that stretching–bending coupling in the governing equations of the functionally graded material (FGM) plates can be eliminated to simplify the bending analysis by using the physical neutral surface (PNS) approach. However, the existing PNS was derived based on the assumption that the Poisson’s ratio is constant along the plate thickness. In this paper, a novel generalized PNS approach for static bending of FGM plate based on the higher-order shear deformation plate theory is firstly developed by considering the Poisson’s ratio to be varied as the same law of the Young’s modulus in the thickness direction. Analytical expressions of the related six position parameters defining the new PNS are presented in terms of the stiffness coefficients which are determined by the through-thickness variation of the material properties. Consequently, the strain field and equivalent bending moments of the FGM plate are expressed solely in terms of the bending variables, namely transverse deflection and rotations, thereby eliminating the stretching–bending coupling induced by the deviation of the PNS from the geometrical middle plane (GMP). Furthermore, equivalent bending stiffnesses of the Levinson-type FGM plate are established for the cases with and without considering the Poisson’s ratio variation, and the influence of this variation on the equivalent bending stiffness is quantitatively evaluated for power-law ceramic–metal FGMs. Numerical results demonstrate that neglecting Poisson’s ratio variation can lead to significant discrepancies, with relative errors exceeding 5% in the predicted bending stiffness. The proposed generalized PNS framework is shown to be consistent and can be reduced to classical Kirchhoff plate formulation by neglecting shear deformation effects.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338977","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":"Flexural analysis of symmetric and anti-symmetric cross-ply and anti-symmetric angle-ply laminated composite plates resting on elastic foundations using Murakami zigzag theory","authors":"Aamir Anwar Nezami,&nbsp;Doğan Kanığ","doi":"10.1007/s00419-026-03203-4","DOIUrl":"10.1007/s00419-026-03203-4","url":null,"abstract":"<div><p>This study develops an analytical bending formulation for laminated composite plates resting on elastic foundations by coupling Murakami’s zigzag theory (MZT) with Winkler and Pasternak foundation models. The main motivation is that existing foundation-based plate formulations generally rely on classical or higher-order shear deformation theories, whereas zigzag-based models have rarely been extended to foundation-supported laminates. The governing equations are derived from the principle of virtual work and solved by Navier’s method for simply supported plates under bi-sinusoidal transverse loading. The proposed formulation is validated against benchmark solutions available in the literature for cross-ply and angle-ply laminates under different foundation stiffness parameters and stiffness ratios. The results show that the formulation reproduces the combined influence of interlaminar zigzag kinematics and substrate compliance: For the symmetric cross-ply laminate the central deflection differs from Pagano’s exact three-dimensional solution by − 1.94% at <i>a/h</i> = 4 and by − 0.04% at <i>a/h</i> = 100, whereas for the anti-symmetric angle-ply laminate the deviation from a converged layer-wise benchmark reaches − 22.27% at <i>a/h</i> = 4, which is the limit of the single-sawtooth, plane-stress kinematics adopted here. At equal nominal stiffness, the Pasternak shear layer produces a stronger stiffening effect than the Winkler-only model, because the shear parameter enters the response multiplied by 2π² for the fundamental harmonic. The present analytical model is restricted to simply supported laminates under linear static bending, to the fundamental bi-sinusoidal harmonic, and to lay-ups in which the fiber orientation changes at every interface; within these limits, it provides a compact benchmark framework for future extensions to more general boundary conditions, lay-ups and loading cases.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149338821","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":"Branching, snapping, and looping of variable-stiffness freeform shallow arches","authors":"Xiaodong Chen,&nbsp;Chen Sun,&nbsp;Guojun Nie,&nbsp;Romesh C. Batra","doi":"10.1007/s00419-026-03208-z","DOIUrl":"10.1007/s00419-026-03208-z","url":null,"abstract":"<div><p>Automated fiber placement technologies enable fabrication of variable-stiffness curved structures such as shallow arches, cylindrical panels, and shells. Among these, variable-stiffness shallow arches with freeform geometry exhibit intricate instabilities under transverse loading—branching, snapping, and looping—posing challenges for the complete tracing of equilibrium manifolds. Here, we adopt Timoshenko beam theory and isogeometric basis functions and incorporate a von Kármán-type geometric nonlinearity to analyze shallow arches. The nonlinear equilibrium equations, derived using the principle of minimum total potential energy, are numerically solved using a previously established technique that seamlessly integrates path-following, singularity-locating, and branch-switching algorithms. This work extends the framework to capture the complete equilibrium manifolds of variable-stiffness shallow arches, revealing how their nonlinear buckling mechanisms are governed by arbitrary geometries and laminate configurations. The accuracy of the proposed framework is verified by comparing present results for several benchmark problems with those reported in the literature. Numerical results are presented for shallow arches with elliptic, sinusoidal, parabolic, and freeform geometries under various support conditions and fiber angle layups.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149234453","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":"Explicit calculation method for dynamic response of longitudinal displacement at stiffening girder ends of suspension bridge under vehicle loads","authors":"Lian Huang,&nbsp;Weihua Zhu,&nbsp;Jingfen Wu,&nbsp;Minghui Jiang,&nbsp;Sheng Yuan","doi":"10.1007/s00419-026-03202-5","DOIUrl":"10.1007/s00419-026-03202-5","url":null,"abstract":"<div><p>To analyze the computational mechanisms of longitudinal motion at stiffening girder ends of suspension bridges under vehicle loads, a new simplified calculation method is proposed. The longitudinal motion is modeled as a single-degree-of-freedom (SDOF) forced vibration system. The spring stiffness coefficient of the SDOF system is derived based on mechanical equilibrium and geometric compatibility conditions, and the unbalanced horizontal cable force at main cable suspension points is identified as the driving force of the longitudinal motion. A harmonic function is established to correlate the unbalanced horizontal cable force with vehicle load positions. An explicit equation for the extreme values of unbalanced horizontal cable force is derived using deflection theory. By defining the harmonic load as the excitation force, the bridge longitudinal stiffness coefficient as the SDOF system spring stiffness coefficient, and the stiffening girder mass as the SDOF system mass, an explicit equation is derived to characterize longitudinal motion at stiffening girder ends under vehicle loads. Finally, the effects of vehicle speed and damping ratio on the dynamic amplification factor are investigated. Comparisons with the finite element model (FEM) validate that the dynamic effects of vehicle loads on the longitudinal displacement at stiffening girder ends are reasonably close to static effects, with calculation errors controlled within 5% for displacement and 4‰ for unbalanced horizontal cable force. Both vehicle speed and damping ratio affect the dynamic amplification factor.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189592","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":"Numerical prediction of effective mechanical properties of microencapsulated self-healing resin mineral composites considering the interfacial phase","authors":"Wuqiang Li,&nbsp;Hui Li,&nbsp;Junbo Xin,&nbsp;Hua Huang","doi":"10.1007/s00419-026-03204-3","DOIUrl":"10.1007/s00419-026-03204-3","url":null,"abstract":"<div><p>Microencapsulated self-healing resin mineral composites (MSRMCs) are widely recognized for their excellent dynamic performance and intrinsic crack-repair ability. However, existing mechanical models fail to accurately capture the complex interactions between the constituent phases, particularly the role of the interfacial transition zone (ITZ). To address this limitation, this study develops a three-dimensional finite element model of a core–wall–ITZ–matrix composite by integrating the Mori–Tanaka method with the generalized self-consistent model. The model is validated against published experimental data and subsequently employed to systematically investigate the influence of ITZ and microcapsule parameters on the elastic properties of MSRMC. The results indicate that: (1) increasing the ITZ thickness alters composite properties by up to 15.72%, while higher ITZ modulus raises the elastic modulus by a maximum of 14.23%; (2) the microcapsule distribution significantly affects the elastic response, with a modulus difference of 0.2547 GPa between clustered and uniform arrangements; (3) larger capsule size, stiffer walls, and greater wall thickness enhance the overall stiffness, with property increments reaching 18.62%. These results provide a theoretical foundation and a preliminary reference for the design and performance optimization of MSRMC, though their direct applicability to advanced engineering applications awaits further experimental validation.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 11","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189591","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":"Traction-free vibrations of spatiotemporal nonlocal thermoelastic hollow cylinder with double porosity","authors":"Savita Katoch,&nbsp;Dinesh Kumar Sharma,&nbsp;Vikas Sharma,&nbsp;Nivedita Sharma,&nbsp;Ömer Civalek","doi":"10.1007/s00419-026-03207-0","DOIUrl":"10.1007/s00419-026-03207-0","url":null,"abstract":"<div><p>In this paper, the investigations of free vibrations are presented for the analysis of isotropic homogeneous thermoelastic hollow cylinder in the context of spatiotemporal theory of nonlocal elasticity with double porosity. The governing equations are transformed into ordinary differential equations from partial differential equations using time harmonic vibration technique. Analytical results have been verified through computations and simulations for frequency shift and thermoelastic damping at various values of normalized thickness and non-locality parameter, which are derived from the analytical expressions and illustrated graphically with respect to mode number. The obtained analytical results were implemented in MATLAB software to present the numerical functional iteration method for free vibration analysis. The tabulated natural frequencies have been shown in tables which yields that the variation of vibrations go on increasing with increase in mode number. The findings of this study have potential applications in nanotechnology, smart materials, energy storage systems, biomedical implants and aerospace components.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 10","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149189923","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}