{"title":"Transition to chaos in an electrostatically excited curved micro-resonator due to an added mass","authors":"Ayman Alneamy","doi":"10.1007/s10999-026-09905-5","DOIUrl":"10.1007/s10999-026-09905-5","url":null,"abstract":"<div><p>This work establishes a novel design framework for Micro-Electromechanical Systems (MEMS) that addresses persistent operational challenges, including dielectric charging and mechanical fatigue, while enabling precise control over both static and dynamic regimes. The principal innovation involves the implementation of a tri-electrode actuation architecture. This configuration provides independent control over the actuation level and facilitates the deterministic reconfiguration of the resonator vibrational mode, allowing for a dynamic transition between symmetric and anti-symmetric beam profiles through voltage bias adjustment. This foundational technique is subsequently leveraged to engineer a high-sensitivity mass-detection micro-sensor. The sensing mechanism is based on monitoring perturbations in the system dynamic response induced by mass adsorption. Specifically, the added mass manifests as a measurable shift in the orbital trajectory or the emergence of new spectral components in the Fast Fourier Transform (FFT). The results demonstrate that a minimal mass load can precipitate a significant alteration in the system dynamics, including a pronounced frequency shift and, in specific operational regimes, a transition to chaotic motion. This bifurcation serves as a distinct indicator of a motion stability transition, providing a highly sensitive metric for mass detection.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"DQM for axisymmetric thermal buckling of 2D-FGM circular plates with variable thickness resting on a two-parameter elastic foundation","authors":"Aastha Tanwar, Rashmi Rani","doi":"10.1007/s10999-026-09904-6","DOIUrl":"10.1007/s10999-026-09904-6","url":null,"abstract":"<div><p>In this article, the thermal buckling analysis of two-directional functionally graded material (2D-FGM) non-uniform circular plates, exposed to uniform, linear, and nonlinear thermal environments, is presented. The plate is assumed to rest on a two-parameter elastic foundation. The material properties are graded following a power law and an exponential law in the transverse and radial directions, respectively. The governing equations are derived based on the first-order shear deformation theory (FSDT) using von Kármán geometric nonlinearity. The differential quadrature method (DQM) is employed to discretize the resulting governing equations for clamped and simply supported plates. The resulting system is solved using MATLAB, and the lowest root obtained is reported as the critical buckling temperature difference. The influence of various plate parameters, including foundation stiffness, thickness variation, and material gradation, on thermal buckling behavior under different boundary conditions is analyzed. The results are validated through comparison with published work, demonstrating excellent agreement. The three-dimensional buckling mode shapes for the specified plates are plotted.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Parametric sensitivity analysis of smart piezoelectric laminates for enhanced modeling accuracy","authors":"Tongyu Wu, S. A. Meguid","doi":"10.1007/s10999-026-09907-3","DOIUrl":"10.1007/s10999-026-09907-3","url":null,"abstract":"<div><p>In this study, we extend the fully coupled finite element framework developed in our earlier work to identify the critical parameters governing the predictive accuracy of smart composite laminates (SCLs) in both self-sensing and shape morphing modes. The model incorporates a third-order shear deformation hypothesis, temperature dependent constitutive relations, and von Kármán geometric nonlinearity. Accurate multiphysics modeling of SCLs under coupled thermo-electro-mechanical loading requires careful consideration of temperature dependent material properties, piezoelectric laminate arrangement, and fixation type. A systematic sensitivity analysis of key material parameters is conducted. Our results reveal that the elastic modulus and thermal expansion coefficient dominate the mechanical response, whereas the dielectric permittivity and pyroelectric coefficient primarily govern the electrical output. In the shape morphing mode, the piezoelectric strain constant and the elastic modulus of piezoelectric actuators significantly influence controllability. Fixation type also strongly influences the deformation profiles and sensor voltage distributions, highlighting its importance in assessing controllability and sensing performance. These findings provide quantitative guidelines for parameter selection in the design and application of SCLs.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlocal elasticity-based torsional vibration analysis of short-fiber-reinforced nanorods with elliptical and triangular cross-sections","authors":"Murat Akpınar, Büşra Uzun, Mustafa Özgür Yaylı","doi":"10.1007/s10999-026-09906-4","DOIUrl":"10.1007/s10999-026-09906-4","url":null,"abstract":"<div><p>This study investigates the torsional vibration of short-fiber-reinforced composite (SFRC) nanorods with non-circular cross-sections under deformable boundary conditions using nonlocal elasticity theory. Governing equations of motion and force boundary conditions are derived via Hamilton’s principle. Unlike most existing studies, this work incorporates elliptical and triangular geometries with warping effects, and determines the properties of randomly oriented short fibers using the Halpin–Tsai micromechanics model. A semi-analytical solution is then formulated, in which the rotation function is defined with two constants at the boundaries and a Fourier sine series over the domain, while Stokes’ transformation allows systematic incorporation of arbitrary boundary spring stiffnesses. The resulting unified eigenvalue matrix includes material, geometric, nonlocal, and boundary parameters. A key novelty of this approach is that different support conditions can be obtained by simply tuning the spring stiffnesses, eliminating the need to repeatedly solve the boundary value problem. Infinite and zero limits recover clamped and free boundaries, respectively, while intermediate values enable examination of boundary deformations. Numerical analyses are conducted to investigate the influence of key parameters, including the fiber volume fraction, aspect ratio, elastic modulus ratio, mass density ratio, nonlocal parameter, nanorod length, and cross-sectional geometry. The findings and the developed solution method can significantly aid in the design and analysis of nanomechanical systems utilizing composite nanorods.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-026-09906-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147642681","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Thermo-mechanical nonlinear forced vibration of sandwich cylindrical microshells with auxetic cores and porous FGM facesheets in flowing fluid","authors":"Peyman Roodgar Saffari, Teerapong Senjuntichai, Chien Ming Wang, Sakineh Fotouhi, Poyuan Roodgar Saffari","doi":"10.1007/s10999-026-09903-7","DOIUrl":"10.1007/s10999-026-09903-7","url":null,"abstract":"<div><p>This study investigates the thermo-mechanical nonlinear forced vibration behavior of sandwich cylindrical microshells incorporating butterfly-shaped auxetic cores and temperature-dependent porous functionally graded (PFGM) facesheets. The structure is supported by a nonlinear elastic foundation and conveys an incompressible, inviscid, irrotational internal fluid. Owing to their negative Poisson’s ratio, the butterfly-shaped auxetic cores provide enhanced rigidity and stability compared with conventional re-entrant auxetic designs. The PFGM facesheets exhibit temperature-dependent properties and capture realistic material defects. The governing equations are formulated using Hamilton’s principle and are based on the modified couple stress theory (MCST) to include size-dependent effects, first-order shear deformation theory (FSDT) and von Kármán geometric nonlinearity. Fluid–structure interaction is modeled through a velocity-potential formulation with constant internal flow velocity. The Galerkin method reduces the resulting partial differential equations to a set of nonlinear ordinary differential equations, which are solved using the harmonic balance method to obtain nonlinear frequency–amplitude relationships. A parametric study examines the influences of thermal loading, porosity distribution, fluid velocity, nonlinear foundation stiffness, material length-scale parameters, and geometric features of the butterfly-shaped auxetic core on the nonlinear vibration response. The results reveal strong couplings among thermal effects, microstructural parameters, and internal fluid flow, providing valuable guidance for the design and optimization of micro-scale sandwich structures in aeronautical and biomedical applications.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147606998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Guosheng Ji, Peirong Zhang, Guosheng Su, Jin Du, Chonghai Xu, Zhanqiang Liu, Yinling Li, Bingzhi Du
{"title":"Interfacial structure-governed free vibration response of laser cladded cylindrical shells","authors":"Guosheng Ji, Peirong Zhang, Guosheng Su, Jin Du, Chonghai Xu, Zhanqiang Liu, Yinling Li, Bingzhi Du","doi":"10.1007/s10999-026-09901-9","DOIUrl":"10.1007/s10999-026-09901-9","url":null,"abstract":"<div><p>Laser cladding has been extensively employed in surface repair of engineering components. However, the combination of cylindrical shells and heterogeneous cladding layers will exacerbate its instability. This study investigated the free vibration characteristics of a composite cylindrical shell fabricated via laser cladding. The interfacial region was idealized as a functionally graded layer with homogeneous mixing, where different interfacial geometries were represented by distinct material volume fraction functions across the thickness. Based on the first-order shear deformation theory (FSDT), and with artificial springs used to simulate boundary conditions, the governing equations for free vibration were derived. The natural frequencies and mode shapes were then determined using the Rayleigh–Ritz method. Comparison with finite element simulations confirmed the accuracy of the proposed model. A comprehensive parametric study was performed to examine the effects of interfacial structure—including shape, depth, and spacing—on the dynamic stiffness of the cylindrical shell. The results revealed that the fundamental frequency of cylindrical shells decreases as the interface layer thickness increases while as the groove spacing decreases. The triangular interface shows the least sensitivity to both interfacial depth and spacing, followed by the arc-shaped interface. An increase in the thickness-to-radius ratio leads to a monotonic increase in shell stiffness under all boundary conditions. Based on this research, it can provide theoretical guidance for the surface repair of weakly rigid structural components.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147607004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bending-induced electric potential and carrier concentration redistribution in piezoelectric semiconductor heterostructures","authors":"Zhi Li, CuiYing Fan, MingKai Guo, GuoShuai Qin, Chunsheng Lu, MingHao Zhao","doi":"10.1007/s10999-026-09902-8","DOIUrl":"10.1007/s10999-026-09902-8","url":null,"abstract":"<div><p>Piezoelectric semiconductor (PSC) heterostructures play a significant role in intelligent, miniaturized, and multi-functional integrated systems. However, bending deformation is inevitable during the processing and operation, impacting its accuracy. In this paper, we present a high-fidelity multi-field coupling theoretical method to research the bending-induced electric potential and carrier concentration redistribution. A layer-wise model is adopted to capture material heterogeneity based on the linearized PSC theory, and the governing equations are solved semi-analytically by combining the state-space method with the differential quadrature method. Comprehensive parametric studies are conducted to systematically explore the regulatory mechanism of differences in initial carrier concentrations, aspect ratios, and boundary conditions on the electromechanical coupling behavior. It is shown that bending-induced redistribution of electric potential and carrier concentration in PSC heterostructures significantly deviates from that in homogeneous structures. This coupled behavior provides new physical insights and offers a theoretical basis for the application of PSC heterostructures.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147607394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abhinav Singhal, Kasim Sakran Abass, Abdulkafi Mohammed Saeed, Abaker A. Hassaballa, Soumik Das, Seema Seema, Anjali Chaudhary
{"title":"Wavefield analysis of nano-scale surface/interface effects on dynamic stress response in biphasic laminated media with circular defects","authors":"Abhinav Singhal, Kasim Sakran Abass, Abdulkafi Mohammed Saeed, Abaker A. Hassaballa, Soumik Das, Seema Seema, Anjali Chaudhary","doi":"10.1007/s10999-026-09898-1","DOIUrl":"10.1007/s10999-026-09898-1","url":null,"abstract":"<div><p>The dynamic stress concentration around a nanoscale circular hole located at the centre of a two-phase circular laminated medium subjected to localized anti-plane SH-wave loading is examined in this paper. The model (used in this paper) is developed using the complex variable function method combined with wavefield superposition and multipolar expansion. In this framework, Gurtin–Murdoch (GM) surface and interface elasticity is incorporated at both the material interface and the free surface of the nanohole, resulting in a coupled two-surface formulation that has not been previously reported for biphasic geometries. This leads to non-classical traction-jump conditions and modified stress-free boundary conditions. The resulting infinite system of linear equations is then solved through series truncation. Numerical results reveal that nanoscale surface and interface effects significantly reduce the dynamic stress concentration factor (DSCF) around the hole, with the most substantial attenuation occurring at low wavenumber ratios and low shear modulus ratios. Conversely, the stress reaches its maximum amplification under long-wavelength excitation or when the outer layer is relatively soft. Overall, these findings offer new insights into nanoscale toughening mechanisms in realistic multilayered systems, providing a solid foundation for defect detection, lifetime prediction, and the damage-tolerant design of laminated nanocomposites and core–shell nanostructures.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-026-09898-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Coupled aeroelastic–nanomechanical modeling of functionally graded piezoelectric tapered nanoplates used in sports equipment: results verification via a hybrid machine learning algorithm","authors":"Long Liu, Murat YAYLACI","doi":"10.1007/s10999-026-09890-9","DOIUrl":"10.1007/s10999-026-09890-9","url":null,"abstract":"<div><p>This work introduces a new coupled aeroelastic–nanomechanical theory for a class of materials, the functionally graded piezoelectric nanoplates that are considered for NEMS applications in the near future sports products. Nonlocal strain gradient theory (NSGT) and quasi-3D refined theory (Q3D-RT) are utilized to obtain the equations of motion for rectangular NEMS of varying thickness. The model covers several aspects, such as Von-Karman nonlinearity, nonlinear group and phase velocities, and the application of aerodynamic forces on the plates according to first-order piston theory. Nonlinear effects are captured by an iterative harmonic displacement representation, which also allows for the comprehensive description of the plate dynamics under the applied excitations. A hybrid machine learning algorithm employing fuzzy logic and deep neural networks (fuzzy-DNNs) is utilized to authenticate the model’s outcomes. With the help of the fuzzy-DNNs algorithm, the system’s nonlinear response characteristics, including the ratio of nonlinear group to phase velocity, are predicted with great efficiency, thereby providing solid validation for the model proposed. Furthermore, piezoelectric coupling in nanoplates is recognized as a factor for the enhancement of their mechanical performance, giving ideas about their usage in sports equipment where sensitivity, low weight, and high dynamic performance are important. The receipt of these results indicates a major breakthrough in the field of NEMS research, because up to now they have already revealed the essential contribution that nonlinear aeroelastic effects and electric interactions make to the formation of ultimate nanodevices. The research further proposes the theory-driven revolution of combining nanomechanics, piezoelectricity, and aeroelasticity as a way of producing new materials for the sports gear of the next generation.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Crashworthiness analysis of thin-walled tube inspired by bivalve shell under axial and oblique compression","authors":"Yifan Xiang, Hongyuan Yang, Yiru Ren","doi":"10.1007/s10999-026-09899-0","DOIUrl":"10.1007/s10999-026-09899-0","url":null,"abstract":"<div><p>To address the potential small-angle oblique loading conditions that thin-walled structures may encounter as energy absorbers in automotive applications, a novel bio-inspired thin-walled bi-tubular (BTB) tube structure inspired by bivalve shells was proposed in this study. The reliability of the finite element (FE) model for the multi-cell bi-tubular (MB) tube was first validated, followed by a systematic investigation via numerical simulations to evaluate the effects of the number of branches (N) and cutting angles (<span>(alpha)</span>) on the crashworthiness characteristics under axial compression. The results demonstrate that the specific energy absorption (SEA) generally increases with a decreasing cutting angle and an increasing number of branches, except for the BTBA3N6. Specifically, the SEA values of BTBA3N6 and BTBA2N10 are 12.6–15.7% higher than those of the conventional MBN6 and MBN10, respectively. Furthermore, while BTBA3N6 shows a slightly lower SEA improvement compared to BTBA2N10 under small-angle oblique loading, it exhibits a larger critical angle for deformation mode transition. A theoretical model based on the simplified super-folding element (SSFE) theory was established to predict the mean crushing force (MCF) of the proposed BTB tubes under both axial and oblique loading. The theoretical predictions showed excellent agreement with the numerical results.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147561859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}