Archive of Applied Mechanics最新文献

{"title":"Lower bound limit analysis of thin plates using a quadrilateral area coordinate generalized conforming element","authors":"Shenshen Chen,&nbsp;Qingfu Lu,&nbsp;Changfu Hu","doi":"10.1007/s00419-026-03167-5","DOIUrl":"10.1007/s00419-026-03167-5","url":null,"abstract":"<div><p>Conventional finite element methods face significant challenges in the lower bound limit analysis of thin plates, primarily due to the strict <i>C</i>¹ continuity requirement and high sensitivity to mesh distortion. To overcome these issues, this study proposes a novel lower bound limit analysis method for thin plates based on a generalized conforming element developed using the quadrilateral area coordinate (QAC) method. Because the consistently linear transformation between the area and Cartesian coordinates, the proposed element maintains high numerical accuracy even under severely distorted meshes. The principle of virtual work is then employed to weakly enforce the equilibrium conditions for the self-equilibrated moment field. On this basis, a lower bound analysis framework is established following the lower bound theorem of plastic limit analysis, which maximizes the limit load multiplier subject to two essential constraints, namely the equilibrium conditions of a self-equilibrated moment field and the von Mises yield criterion. The von Mises yield criterion is reformulated into second-order cone constraints, thereby leading to a standard second-order cone programming (SOCP) problem that is efficiently solved using the primal-dual interior-point method as implemented in MOSEK. Numerical results validate the rationality and effectiveness of the proposed method, demonstrating superior accuracy and robustness even for severely distorted meshes.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750757","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":"Modeling and traveling wave vibration analysis of the FGP-GPLRC-FRC sandwich cylindrical–cylindrical shell structure with bolt connection detuning","authors":"Chong Tang,&nbsp;Qingpeng Han,&nbsp;Yu Wang,&nbsp;Ze Jian,&nbsp;Jinming Zhang,&nbsp;Xiangdong Liu","doi":"10.1007/s00419-026-03166-6","DOIUrl":"10.1007/s00419-026-03166-6","url":null,"abstract":"<div><p>The rotating sandwich cylindrical shell with bolt connection is a common substructure in aerospace. Due to the complexity of actual working conditions, bolts tend to loosen, resulting in connection detuning. To explore the failure mechanism and variation law of bolt connection detuning, a general semi-analytical dynamic model for the bolted composite sandwich cylindrical–cylindrical shell structure under rotational conditions is established. The model is constructed with a functionally graded porous graphene platelet-reinforced composite (FGP-GPLRC) core and fiber-reinforced composite (FRC) face sheets, which combines the advantages of lightweight, high specific strength, and high stiffness. With the aim of fully investigating the detuning behaviors of the bolt connection, a discontinuous artificial spring method is utilized. Then, the displacement continuity assumption of the layerwise theory and the first-order shear deformation theory (FSTD) are used to establish the equation of motion. According to the Rayleigh–Ritz method, the traveling wave vibration characteristics of the bolted shell structure are solved by the state-space method. Through extensive comparisons with experimental results in the literature, the accuracy and rationality of the model are fully verified. The modeling and solution methods proposed in this paper provide valuable theoretical references and engineering guidance for the application of FGP-GPLRC-FRC cylindrical–cylindrical sandwich shell structures in aerospace.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750756","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 analysis of static and modal performance for a simplified floating raft with variable cross-sections and perforated horizontal grillage","authors":"Guanghui Cheng,&nbsp;Ziling Zheng,&nbsp;Liang Shi,&nbsp;Xun Pan","doi":"10.1007/s00419-026-03164-8","DOIUrl":"10.1007/s00419-026-03164-8","url":null,"abstract":"<div><p>Large floating rafts with variable cross-sections and perforated sandwich layers are extensively used for mechanical noise control, yet simplified modeling methods that preserve the intrinsic mechanical properties of the sandwich structure for marine applications have received limited attention. This study proposes a novel semi-analytical method that establishes a simplified computational model (3D-MHM) for large floating rafts using a multilevel homogenization model, enabling efficient and highly accurate static and vibrational predictions of static and vibrational characteristics. This approach addresses the computational challenges of traditional numerical methods while accurately capturing key structural responses including structural displacement, strain, and natural frequency. A comparative analysis with 3D-FEM and 2D-traditional equivalent model (2D-FSDT) shows that 3D-MHM is superior to 2D-FSDT in terms of accuracy and superior to 3D-FEM in terms of computational efficiency. The perforation geometry of the wall is described parametrically using Bézier curves, enabling more efficient analysis of the effects of perforation geometry and quantity on vibration performance and mechanical properties. Further comprehensive bending and natural frequency analyses were performed on variable-section floating rafts featuring typical openings. The results show that when the sandwich parameters are consistent, the proposed method remains well adapted to floating rafts with variable cross-sections and typical openings. The 3D-MHM achieves high accuracy (errors &lt; 5%) for cores with high equivalent modulus, but for low-stiffness cores the error can become significant (up to ~ 35%); thus applicability should be judged based on core properties. These findings provide design guidance for deformation mitigation and vibration attenuation in marine engineering applications of floating raft systems.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148628397","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":"Environmentally driven co-evolution of materials and structure: a generative multiscale topology optimization framework with enhanced discrete material optimization","authors":"Shuo Feng,&nbsp;Ke li,&nbsp;Yuhao Yang,&nbsp;Qidong Han","doi":"10.1007/s00419-026-03154-w","DOIUrl":"10.1007/s00419-026-03154-w","url":null,"abstract":"<div><p>Existing multiscale topology optimization methods often suffer from static microstructural designs and fixed material assumptions, hindering true co-evolution of material and structure. To address this, we extend the discrete material optimization (DMO) framework by integrating an environment-aware microstructural evolution mechanism, where micro-topologies adapt dynamically to local thermo-mechanical fields, establishing a closed-loop co-optimization framework across scales. Numerical examples demonstrate that the proposed method effectively promotes the emergence of functionally graded topologies and significantly enhances overall structural performance and convergence efficiency under thermo-mechanical coupling. This work advances the design paradigm from material selection plus structural design to generative material-structure co-design, offering a new pathway for the development of multifunctional, intelligent systems.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614772","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":"Mechanical influence of mid-vein-induced thickness gradients on buckling and morphological evolution in growing plant leaves","authors":"Di-Quan Wu,&nbsp;Ling Liu,&nbsp;Qi-Ling Jiang,&nbsp;Mohamad Ikhwan Zaini Ridzwan","doi":"10.1007/s00419-026-03163-9","DOIUrl":"10.1007/s00419-026-03163-9","url":null,"abstract":"<div><p>Leaf morphology is strongly influenced by internal structures, with the mid-vein providing both nutrient transport and mechanical reinforcement. It introduces a transverse thickness gradient that affects mechanical stability and triggers growth-induced buckling, including wrinkling and saddle-shaped deformations. Despite extensive biological studies, the mechanical role of this feature remains underexplored. Here, leaves are modeled as two-dimensional orthotropic hyperelastic plates with a power-law thickness distribution. Incorporating geometric nonlinearity, St. Venant–Kirchhoff constitutive equations are used to analyze filamentary and saddle-shaped buckling in infinitely long ribbons, solved via MATLAB’s Bvp5c solver. Finite-length blades are further examined through Abaqus simulations, where growth-induced strains are modeled as anisotropic thermal expansion. Results show that mid-vein-induced thickness gradients significantly influence buckling evolution: increasing the thickness power-law exponent enhances bending stiffness and buckling resistance, though the effect exhibits diminishing returns at higher values. These findings elucidate the mechanical function of mid-veins in natural morphogenesis and provide guidance for designing bioinspired thin structures with non-uniform thickness.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614203","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":"Impact of thermal vibrations on oxytactic bioconvection in a porous medium","authors":"K. Srikanth,&nbsp;Virendra Kumar","doi":"10.1007/s00419-026-03151-z","DOIUrl":"10.1007/s00419-026-03151-z","url":null,"abstract":"<div><p>A linear stability analysis of oxytactic bioconvection in a fluid-saturated porous medium subjected to thermal gradients and high-frequency, low-amplitude vertical vibrations is presented. A time-averaging approach is employed to derive effective governing equations that describe the system’s averaged dynamics. The main novelty of this work is the developmenst of a unified analytical framework for vibrated oxytactic bioconvection in porous media, enabling a systematic description of vibration-modified stability characteristics. The governing equations are analyzed using the Galerkin method to derive the secular equation for the critical thermal Rayleigh number <span>(R_a)</span> in terms of the bioconvection Rayleigh–Darcy number <span>(R_b)</span>, vibrational Rayleigh–Darcy number <span>(R_v)</span>, thermovibrational parameter <span>(R_t)</span>, microorganism-to-oxygen diffusivity ratio <span>(delta )</span>, depth parameter <span>(widehat{omega } = P_ebeta _1)</span>, and vibrational parameter <span>(eta )</span>. The results indicate that thermal gradients destabilize the system and promote the onset of bioconvection, whereas vertical vibrations significantly modify the evolution of convective instability. Both the thermovibrational parameter and the vibrational modulation parameter exert a destabilizing influence on the system. Moreover, the depth parameter significantly affects pattern selection, with more considerable depths favoring shorter-wavelength convective modes. These findings underscore the intricate coupling between thermal, vibrational, and bioconvective agencies in porous microbial systems and offer valuable insight into the control of instability onset and convective pattern formation.\u0000</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614363","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":"Analysis of marine clay driving piles and marine soil cavity expansion","authors":"Zheng Wan,&nbsp;Yuanyuan Liu","doi":"10.1007/s00419-026-03148-8","DOIUrl":"10.1007/s00419-026-03148-8","url":null,"abstract":"<div><p>Prestressed pipe piles are increasingly utilized in the foundation construction of marine structures such as ports and docks. However, during the pile installation process in marine clay, both the stress state of the pile body and the surrounding soil undergo continuous dynamic changes. This study investigates the stress states of the pile and the surrounding soil during the cavity expansion into marine clay and presents the following innovative contributions: (1) By employing the Love displacement function method, an elastic analytical solution for the stress field distribution along the pile shaft is derived. (2) Considering the shear contraction and shear dilation characteristics of marine clay, a constitutive model incorporating both deformation behaviors is proposed. (3) Using the aforementioned model as the constitutive relation and combining it with a self-similar displacement distribution model, the corresponding stress field of the surrounding soil is theoretically derived. The comparison between experimental results and model predictions demonstrates that the proposed model exhibits a high degree of rationality and practical applicability.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614499","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":"Free vibration analysis of a rectangular plate resting on the surface of an elastic half-space with inertial properties","authors":"S. Guenfoud,&nbsp;H. Gherdaoui,&nbsp;S. V. Bosakov,&nbsp;D. F. Laefer,&nbsp;L. Dai,&nbsp;A. Rezaiguia","doi":"10.1007/s00419-026-03153-x","DOIUrl":"10.1007/s00419-026-03153-x","url":null,"abstract":"<div><p>The static and dynamic analysis of beams and plates resting on or embedded within an elastic half-space has attracted increasing attention due to their widespread applications in civil, mechanical, and geotechnical engineering. Achieving reliable and accurate designs requires either improving existing calculation methods or developing new approaches capable of more effectively capturing their static and dynamic behavior. This study investigates the dynamic behavior of rectangular plates resting on the surface of an elastic half-space with inertial properties according to Lamb’s model. A semi-analytical approach based on the Zhemochkin method is employed. This method combines the Ritz technique, used to evaluate plate deflections, and Green’s function for computing the surface displacements of the elastic half-space. The plate–foundation system is discretized into identical rectangular elements, whereby the continuous contact is replaced by partial contacts established at the centers of the elements while ensuring continuity of contact between them. The canonical equations incorporate all relevant parameters, including the mechanical and geometric properties of the plate and the foundation, reactive forces, inertial effects, plate deflections, and vertical surface displacements of the elastic half-space. After incorporating the relevant formulas, the mathematical transformations yield a matrix formulation enabling the determination of the reactive forces in the contact zone. Using the principles of elasticity theory, further quantities such as eigenfrequencies, natural modes, and dynamic responses under various external excitations are obtained. The accuracy and applicability of the proposed approach are demonstrated through validation against the modal superposition method and comparison with results obtained from Boussinesq’s model and the finite element method. The proposed methodology provides a versatile and efficient framework for the dynamic analysis of plate–foundation systems.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613762","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":"Exact decomposition of coupled shear walls with multiple stiffening beams: closed-form solutions including local wall shear deformation","authors":"Mao Cristian Pinto-Cruz","doi":"10.1007/s00419-026-03102-8","DOIUrl":"10.1007/s00419-026-03102-8","url":null,"abstract":"<div><p>This paper derives closed-form solutions for the static analysis of coupled shear walls with an arbitrary number of stiffening beams at arbitrary locations and with arbitrary properties, explicitly incorporating local wall shear deformation, for single- and multiple-bay configurations. Coupled shear walls derive their lateral efficiency from the interaction among four deformation mechanisms: Global bending and global shear of the system, and local bending and local shear of the walls, whose relative contribution governs both the total response and the effectiveness of the stiffening beams employed in tall buildings. Existing analytical formulations model the walls as Euler–Bernoulli beams, suppressing local shear; this assumption introduces systematic errors that grow with the cross sectional depth of both the walls and the coupling beams, while simultaneously restricting closed-form solutions to the single stiffening beam case, with no possibility of systematic extension to the general case. This work demonstrates that both limitations share a common root and are resolved simultaneously. By modeling the walls as Timoshenko beams through a physics-based derivation, the resulting governing equation is fourth-order, structurally consistent with the classical sandwich beam model, from which it recovers as a particular case upon suppression of the local shear stiffness. This equation admits an exact decomposition into three independent subsystems: A pure bending beam, a pure shear beam, and a bending–shear beam, whose linear combination exactly reproduces the total response under any static load profile, and which allows the lateral displacement and story drift to be decomposed into their three physical components: bending, shear, and interaction. The decomposition establishes two results that had not been analytically demonstrated: The stiffening beams act exclusively on the interaction component, leaving the bending and shear components strictly invariant regardless of their number, location, or stiffness; and local shear acts exclusively on the shear component, without affecting the interaction component. Since only the bending–shear subsystem carries the discontinuities introduced by the stiffening beams, the general problem reduces to a linear algebraic system of four equations per stiffening beam, from which closed-form solutions are derived for lateral displacement, interstory drift, additional axial force, shear flow, and degree of coupling under uniform, triangular, and concentrated loads. Validation against finite element models confirms errors below 1.2% in lateral displacement and interstory drift across all cases analyzed, including up to five stiffening beams with non-uniform cross sections and locations.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614042","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 continuum multi-species bacterial growth model with a novel interaction scheme","authors":"Felix Klempt,&nbsp;Hendrik Geisler,&nbsp;Meisam Soleimani,&nbsp;Philipp Junker","doi":"10.1007/s00419-026-03160-y","DOIUrl":"10.1007/s00419-026-03160-y","url":null,"abstract":"<div><p>Biofilms are complex structures which are inhabited by numerous amount of different species of microorganisms. Due to their ubiquity, they influence human life on an everyday basis. It is therefore important to understand the interactions between different bacterial populations within a biofilm and their reactions to outside conditions. For this purpose, mathematical models and <i>in silico</i> experiments have proven themselves to be fundamental. In combination with <i>in vitro</i> and <i>in vivo</i> experiments, they can give more insights and focus researchers’ attention, reducing costs in the process. In this work, a comprehensive multi-species continuum-based model for the development of bacterial populations is presented. This model is capable of replicating a variety of different bacteria interactions with an arbitrary number of species, while still being comprehensive to encourage usage by researchers less familiar with mathematical modeling. In addition to a nutrient source, antibiotic agents and their effect on the biofilm can also be depicted. The model is derived using Hamilton’s principle of stationary action, ensuring thermodynamic consistency automatically. The numerical examples demonstrate the model’s capability to qualitatively reproduce complex interaction patterns.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13391730/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148576731","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}