Archive of Applied Mechanics最新文献

{"title":"Analysis to thermoelastic wave propagation in CNTs- and GPLs-reinforced FG microplate with surface effects under NSGT and TPL model","authors":"Weixuan Wang,&nbsp;Tianhu He","doi":"10.1007/s00419-026-03115-3","DOIUrl":"10.1007/s00419-026-03115-3","url":null,"abstract":"<div><p>Carbon nanotubes (CNTs) or graphene platelets (GPLs) are perfect fillers to generate advanced functionally graded (FG) nanocomposites due to their remarkable thermal and mechanical properties. At present, the thermoelastic response analysis to FG-CNTs/GPLs-reinforced microstructures considering size-dependent effects and thermal lagging behavior is rare. To address this gap, this research first integrates Kirchhoff plate theory with surface effects, the three-phase-lag (TPL) heat conduction model, and the nonlocal strain gradient theory (NSGT) to investigate the thermoelastic wave propagation characteristics of the FG microplate simultaneously reinforced by CNTs and GPLs. The effective elastic modulus is evaluated employing the Halpin–Tsai micromechanical model. Then, the governing equations are derived, and the dispersion relation and phase velocity are obtained by applying the wave-type solution method. In calculation, in addition to the unidirectional distribution (UD) pattern of CNTs and GPLs, three distinct FG distribution patterns, i.e., FG-X type, FG-A type and FG-O type, and the effects of several key parameters on frequency and phase velocity are investigated. From the results, it can be concluded that the FG-X type is most affected by the surface effect, leading to the greatest influence on the frequency and phase velocity. The characteristic length parameter, the surface residual stress, the surface modulus of elasticity, and the volume fraction of GPLs and CNTs positively correlate with phase velocity and frequency, while the nonlocal elasticity parameter negatively correlates. Additionally, the influence of surface residual stresses on phase velocity and frequency is smaller than that of the surface modulus of elasticity, and the surface effect amplifies the influence of the characteristic length parameter and nonlocal parameters on phase velocity and frequency. The results of this model provide some references for the design of high-performance micro-resonators and acoustic sensors based on FG-CNTs/GPLs.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236768","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":"Localizing gradient damage model of rock under compression based on stress decomposition","authors":"Sheng Gong,&nbsp;Xingzhou Chen,&nbsp;Lili Chen,&nbsp;Ke Wang","doi":"10.1007/s00419-026-03111-7","DOIUrl":"10.1007/s00419-026-03111-7","url":null,"abstract":"<div><p>Simulating the failure process of quasi-brittle rock under compressive stress remains a formidable challenge, primarily due to the tension–compression asymmetry of rock materials and mesh dependency. To address this issue, this paper proposes a localizing gradient damage model based on stress spectral decomposition. The core theoretical contribution lies in extending the classical localizing gradient damage framework, which traditionally considers only tensile damage, to capture the complex evolution of compressive–shear damage. By decomposing the effective stress tensor, the model employs a modified Rankine criterion to characterize tensile damage, while compressive–shear damage is independently driven by an equivalent strain calculated based on the Mohr–Coulomb criterion. Numerical simulations of double-edge-notch (DEN) specimens, pre-existing fissure rock specimens, and Brazilian disks validate the effectiveness of the proposed model. The model can capture the evolution of wing cracks and secondary cracks without relying on a predefined path and exhibits low mesh dependency. The research results provide a reference for studying mixed-mode fracture mechanisms in geotechnical engineering.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236844","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":"Advanced comparative modal analysis using stochastics in objective functions for bridge damage detection","authors":"Leon Lobo,&nbsp;Edilson Silva,&nbsp;Enrico Zacchei,&nbsp;Reyolando Brasil","doi":"10.1007/s00419-026-03109-1","DOIUrl":"10.1007/s00419-026-03109-1","url":null,"abstract":"<div><p>Structural monitoring is crucial for ensuring the safety and longevity of bridges. Among the available non-destructive methods, finite element model updating (FEMU) stands out as a powerful tool for damage detection. This paper introduces a comparative reliability analysis aimed at identifying the most effective objective function for FEMU-based damage detection in bridges. The study evaluates three objective functions (frequency, modal shape, flexibility) within a genetic algorithm framework to optimize the match between a damaged model and its calibrated counterpart. To this end, advanced analytical and stochastic simulations were carried out to connect dynamic and optimization analyses. To validate the approach, both the stochastic and analytical models were examined using a real case study. The results showed that modal flexibility, which combines mode shapes and natural frequencies, achieved the highest reliability, outperforming the other objective functions in about 85.0% of the tested cases across all scenarios. A major advantage of this approach is that the required dynamic properties could be obtained by monitoring the bridge in situ, allowing the results to be used in FEMU-based assessments to support the maintenance of bridges and other infrastructure systems.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03109-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236883","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":"A low-thrust maintenance approach for planar orbits in the Perturbed Circular Restricted Three-Body Problem via reinforcement learning","authors":"Ehsan Abbasali,&nbsp;Jamila Hamzei,&nbsp;Fatemeh Ebrahimian,&nbsp;Amirreza Kosari,&nbsp;Majid Bakhtiari","doi":"10.1007/s00419-026-03114-4","DOIUrl":"10.1007/s00419-026-03114-4","url":null,"abstract":"&lt;div&gt;&lt;p&gt;This paper introduces an approach to design an orbital maintenance strategy for periodic Lyapunov orbits within the Perturbed Circular Restricted Three-Body Problem (P-CRTBP) considering oblateness and photogravitational perturbations. When a satellite deviates from its periodic path, both its position and velocity vectors change simultaneously, requiring a small low-thrust maneuver to restore it to its periodic orbit. This low-thrust trajectory is treated as a Two-Point Boundary Value Problem (TPBVP), which demands a specific solution method. Previous studies have employed numerical optimal control techniques like nonlinear programming (NLP). However, these methods may involve complex mathematical implementation. To address these challenges, this paper proposes an approach using reinforcement learning (RL) to design orbital maintenance maneuvers. The proposed method involves four main steps. First the perturbed periodic orbits are obtained by employing Poincaré map and an orbital correction algorithm. This algorithm stands out from previous orbital correction algorithms by enabling the propagation of P-CRTBP family orbits around the Lagrangian points using just one initial guess derived from the Poincaré map. Second, the time instant at which the deviation from periodicity exceeds a prescribed numerical threshold is identified, together with the corresponding state vector. This identification is based on a sensitivity analysis to establish criteria for non-periodic behavior. A key innovation of this approach is selecting the state vector to which the satellite must return to maintain its periodic orbit as the spacecraft is guided back to the matching point of the first orbital period, identified in the third step of the procedure. This choice enables the satellite to resume its periodic motion. This suggestion is justified because, according to the adopted criteria, the distance between the state at which the deviation exceeds the numerical threshold and the corresponding point in the first orbital period of the Earth–Sun system is sufficiently small. A small thrust applied over a very short period would be sufficient to address this discrepancy. In the final step, the thruster components and their duration of working time are nominated as design variables. Two objective functions are then formulated and minimized using RL to determine these design variables. The first objective function is guaranteed that the state vector is converted from the first non-periodic moment state vector to the desired state vector by applying thruster components. Since fuel efficiency is crucial in space missions, the second objective function focuses on minimizing fuel consumption. These two objective functions are combined to form a reward function, and maximizing this reward function effectively leads to the minimization of the objective functions. The method was applied to the perturbed Sun–Earth system, and the simulation showed that the proposed approa","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236742","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":"Strengthening and toughening enhanced by mineral bridges through pinning and bridging in nacre-like materials","authors":"Ji-Tong Wu,&nbsp;Gan-Yun Huang,&nbsp;Liao-Liang Ke","doi":"10.1007/s00419-026-03122-4","DOIUrl":"10.1007/s00419-026-03122-4","url":null,"abstract":"<div><p>Many studies have revealed the significant role played by mineral bridges in the brick-and-mortar structure of nacre in enhancing the strength and toughness, which has seldom been addressed in theoretical models. Given the heterogeneities in nacre, pinning of the crack front by the platelets may readily occur when a crack propagates through them, although their bridging role in toughening has been captured frequently. To understand the strengthening and toughening mechanisms so as to achieve optimal bionic design, in this work, a Griffith crack of finite size has been considered by taking into account mineral bridges along with the effects of both pinning and bridging under plane strain deformation. The apparent strength and toughness have been examined using the model. Numerical results demonstrate that mineral bridges significantly enhance both strength and toughness, showing improved agreement with experimental results. These findings are expected to provide insights and guidance for the design of bio-inspired composites.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236743","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":"Multiphysics-coupled vibration behavior of revolving shallow shells: temperature–humidity dependence and elastic boundary optimization","authors":"Richa Hu,&nbsp;Yue Jiang,&nbsp;Shufeng Lu,&nbsp;Hailong Qiao,&nbsp;Wensai Ma,&nbsp;Xiaojuan Song","doi":"10.1007/s00419-026-03112-6","DOIUrl":"10.1007/s00419-026-03112-6","url":null,"abstract":"<div><p>This study focuses on the vibration characteristics of resin-based composite shallow cylindrical shells under the combined action of temperature and humidity, as well as under elastic boundary constraints. Based on the first-order shear deformation theory, a dynamic model considering the thermal–hygrodynamic coupling effect was established. The elastic boundary was simulated using Chebyshev polynomial expansion and spring equivalent methods, thereby systematically analyzing the influence of material parameters and environmental changes on the natural frequencies of the structure. Experimental tests were conducted on carbon fiber–epoxy composite shells with specific layup structures and rotation angles. The predicted natural frequencies by the theory were in good agreement with the experimental results, verifying the reliability and engineering applicability of the model. This research has established a clear-structured and experimentally verified multi-physics field vibration analysis framework, providing an effective reference for the vibration prediction and structural design of composite material shells in complex environments.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236825","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":"Size-dependent thermoelastic response of microresonator plates via nonlocal MGT framework with Pasternak support","authors":"Naeem A. Atallah,&nbsp;Salman S. Alsaeed,&nbsp;Ahmed E. Abouelregal","doi":"10.1007/s00419-026-03108-2","DOIUrl":"10.1007/s00419-026-03108-2","url":null,"abstract":"<div><p>This study introduces a novel framework that integrates three advanced mechanisms: nonlocal Moore–Gibson–Thompson (MGT) thermoelasticity, Kelvin–Voigt (KV) viscoelasticity, and Pasternak–Winkler foundation support. The framework is used to analyze circular microplate resonators. This triple integration represents a significant departure from prior work, which treated these phenomena in isolation. The key novelty lies in the synergistic combination of nonlocal heat conduction with MGT wave dynamics and viscoelastic dissipation, enabling, for the first time, the simultaneous prediction of size-dependent thermal diffusion, finite-speed transients, and energy loss under thermal shock. Our analysis reveals that nonlocal–MGT interactions counterintuitively reduce thermal stresses and dissipation while enhancing frequency stability—effects entirely absent from conventional theories. The work provides four distinct contributions: (1) the first unified nonlocal MGT–viscoelastic–foundation model for circular plates; (2) a systematic quantification of synergistic coupling effects; (3) a comprehensive field analysis under thermal shock; and (4) actionable design guidelines for MEMS resonators. These findings deliver transformative insights for aerospace, biomedical, and telecommunications applications.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148236826","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":"The role of fiber orientation in the analysis and simulation of toroidal parts under internal pressure","authors":"Quirin Hoesch,&nbsp;Michael Roller,&nbsp;Fabio Schneider-Jung,&nbsp;Joachim Linn,&nbsp;Ralf Müller","doi":"10.1007/s00419-026-03096-3","DOIUrl":"10.1007/s00419-026-03096-3","url":null,"abstract":"<div><p>This work investigates the role of fiber orientation in the analysis and simulation of a helically reinforced, pressurized torus. Therefore, the concept of the neutral wrapping angle of a straight cylinder is extended to a torus. This specific angle establishes an isotensoidal load condition by balancing axial and circumferential stresses. It varies for a torus along the cross section due to fluctuating circumferential stresses. Because of the curvature of the torus, the geometrical wrapping angle is not constant. Bending a reinforced straight cylinder into a toroidal shape or winding fibers onto a toroidal part inherently creates a varying geometrical wrapping angle, which follows a similar pattern to the toroidal neutral wrapping angle, but differs quantitatively. Using the finite element method and suitable modeling approaches, we analyze this difference as well as the interplay between fiber orientation and curvature effects on toroidal deformations. Specifically, we examine how deviations from the neutral wrapping angle superpose with the Bourdon effect. These interactions emphasize the need for precise modeling of varying wrapping angles, especially in highly curved toroidal geometries.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03096-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009440","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":"Fracture mechanics analysis of bimaterial interface cracks using the X-THSFEM","authors":"Dongyuan Jiang,&nbsp;Feilong Zhu,&nbsp;Mou Xiao,&nbsp;Nan Yang,&nbsp;Jiaqing Wang,&nbsp;Huan Li","doi":"10.1007/s00419-026-03100-w","DOIUrl":"10.1007/s00419-026-03100-w","url":null,"abstract":"<div><p>An extended two-phase hybrid-stress finite element method (X-THSFEM) is developed for fracture mechanics analysis of bimaterial interface cracks, to address the numerical difficulties caused by the oscillatory singular asymptotic crack-tip fields different from homogeneous cracked materials. Focusing on edge and central interface cracks with/without internal pressure, the asymptotic stress field function is introduced as an enhancement function into the two-phase stress fields to precisely characterize the near-tip stress oscillatory singularity. The complex stress intensity factors are solved by the least square method, and the effect of bimaterial property coupling on the factors is analyzed. Validations against theoretical solutions and benchmark results (ABAQUS, SBFEM) demonstrate high precision of the X-THSFEM: the maximum relative error of normalized K1​ is &lt; 0.6% and K2​ &lt; 6% for infinite bimaterial plates, and &lt; 9% for finite and multi-crack models. Endowed with higher-order stress fields, the X-THSFEM has high efficiency and precision, with a single element equivalent to thousands of conventional finite elements and the capability to model multiple interface cracks. It is applicable to both homogeneous and bimaterial crack systems, thus providing an effective numerical approach for dissimilar material interface crack fracture problems.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148009439","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":"Optimization of lattice-core sandwich panels for enhanced free-vibration behavior","authors":"Martina Rinaldi,&nbsp;S. Valvano,&nbsp;Francesco Tornabene,&nbsp;Rossana Dimitri","doi":"10.1007/s00419-026-03101-9","DOIUrl":"10.1007/s00419-026-03101-9","url":null,"abstract":"<div><p>The use of lattice structures in sandwich panel cores has garnered interest for their high stiffness-to-weight ratio and potential in lightweight applications. This study investigates the homogenization of body-centered cubic (BCC) lattice cores using a representative volume element (RVE) to derive equivalent mechanical properties. These RVE-derived properties are used to build a structural homogenized model, and they are compared to the vibrational behavior of the detailed 3D lattice model, focusing on natural frequency comparisons. The purpose of this homogenization approach is to represent the sandwich core more efficiently, enabling the investigation and optimization of the panel’s vibrational modes while reducing the computational cost associated with high-fidelity simulations. Particle swarm optimization (PSO) is, then, used to optimize the BCC strut diameter, targeting selected structural natural frequencies. The optimization process refines the design by adjusting parameters within a selected frequency range and improving the considered frequencies. The optimization is extended to a dual-parameter approach, adjusting both strut diameter and cell height, yielding enhanced stiffness and frequency control. Results demonstrate that homogenization, combined with dual-parameter optimization, effectively improves the vibrational properties with substantial computational savings.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 6","pages":""},"PeriodicalIF":2.5,"publicationDate":"2026-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03101-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147938676","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}