{"title":"Analytical solution for hygro-thermo-elastic dynamic performance of Quasi-3D logarithmic shear-deformable lightweight plate positioned between GPL-reinforced skins","authors":"Weiwei Zhang, Yanting Sun","doi":"10.1007/s10999-026-09911-7","DOIUrl":"10.1007/s10999-026-09911-7","url":null,"abstract":"<div><p>This paper presents a comprehensive analytical investigation into the free vibration behavior of a novel lightweight sandwich plate subjected to hygrothermal environments. The structural assembly consists of a functionally graded porous core reinforced by graphene nanoplatelets (GPLs) and bounded by GPL-reinforced composite facesheets, resting on a three-parameter Kerr elastic foundation. A Quasi-3D Logarithmic Shear Deformation Theory (LSDT) is developed to accurately capture both shear and normal deformation effects without requiring shear correction factors. The governing differential equations are derived using Hamilton’s principle and solved analytically via Navier’s technique for simply supported boundary conditions. The validity of the proposed model is established through rigorous comparison with existing literature. A detailed parametric study reveals the significant influence of GPL mass fraction, dispersion patterns, and geometric aspect ratios on the vibrational response. Most notably, a counter-intuitive non-monotonic behavior is observed for symmetric porosity distributions, where natural frequencies unexpectedly recover at high void fractions (> 50%) due to the dominant effect of mass reduction over stiffness degradation, offering a critical avenue for optimizing lightweight structural performance.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829704","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}
Amal Al-Hanaya, Wedad Albalawi, Shreen El-Sapa, Khaled Lotfy, Alaa A. El-Bary
{"title":"Multi-temperature photoacoustic dynamics in a semiconductor medium with fractional order heat and variable thermal conductivity","authors":"Amal Al-Hanaya, Wedad Albalawi, Shreen El-Sapa, Khaled Lotfy, Alaa A. El-Bary","doi":"10.1007/s10999-026-09909-1","DOIUrl":"10.1007/s10999-026-09909-1","url":null,"abstract":"<div><p>This paper presents a novel fractional-order photoacoustic model for semiconductor media subjected to laser excitation, formulated within the framework of multi-temperature thermoelasticity and variable thermal conductivity. The proposed model addresses key limitations of classical heat conduction theories by incorporating Caputo fractional time derivatives. Additionally, spatially variable thermal conductivity allows for modeling heterogeneous material properties and realistic thermal gradients. The governing equations couple thermoelastic displacement, thermodynamic and conductive temperature fields, and carrier concentration, capturing the dynamic interactions among thermal, mechanical, and electronic subsystems. Using the normal mode analysis technique allows for analytical and numerical exploration of wave propagation characteristics. Silicon is used as the reference medium in simulations, and results are presented for varying fractional orders and thermal conductivity profiles. The proposed formulation provides a more comprehensive description of memory-dependent thermal transport and coupled thermoelastic–carrier wave propagation in semiconductor materials, offering potential applications in optoelectronic devices, laser-based material diagnostics, and micro-scale thermal management technologies. These findings demonstrate the improved physical accuracy and predictive capabilities of the proposed model, making it highly applicable to modern semiconductor technologies.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147797121","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":"Size-dependent thermal buckling and vibrations of double-walled carbon nanotubes through nonlocal Timoshenko beam model embedded in nonlocal elastic foundation","authors":"Cheng Li, Chang Li, Jianwei Yan, Hai Qing","doi":"10.1007/s10999-026-09910-8","DOIUrl":"10.1007/s10999-026-09910-8","url":null,"abstract":"<div><p>This study offers an in-depth analysis of the thermal buckling and vibrational characteristics of double-walled carbon nanotubes (DWCNTs) embedded within a Winkler-type elastic medium. To address size-dependent effects, strain-driven (eD) and stress-driven (sD) two-phase nonlocal-local integral models (TPNIMs) are employed, considering Timoshenko beam deformation, foundation-structure interactions, and thermally induced stresses. The governing equations and corresponding boundary conditions are systematically derived using Hamilton's principle. The integral constitutive relations linking generalized strain fields to nonlocal stress tensors are reformulated into equivalent differential expressions, incorporating constitutive boundary conditions. A significant methodological contribution of this work lies in the derivation of closed-form analytical solutions for nonlocal thermal stress distributions. The generalized differential quadrature method (GDQM) is utilized to numerically determine critical buckling loads and natural vibration frequencies. Parametric studies are conducted to evaluate the interdependent influences of nonlocal scaling parameters, foundation stiffness, and temperature variation on the mechanical behavior of DWCNTs, revealing pronounced size effects that are dependent on the boundary conditions. These findings provide crucial insights into the stability-performance trade-offs inherent in thermo-mechanically coupled DWCNT systems, thereby establishing foundational design principles for the development of nanotube-based NEMS and MEMS devices operating under high-temperature conditions.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796540","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":"Transient response analysis of thermal-impacted porous metals using a non-singular fractional electron–phonon two-temperature model","authors":"Jiakun Han, Chenlin Li, Jiaxi Zhou","doi":"10.1007/s10999-026-09912-6","DOIUrl":"10.1007/s10999-026-09912-6","url":null,"abstract":"<div><p>To accurately predict the memory-dependent transient thermoelastic response of porous metals under ultrafast laser heating, this work establishes an electron–phonon two-temperature poro-thermoelastic model based on non-singular fractional operators of Atangana-Balla and Tempered Caputo definitions, which eliminates the singularity of the kernel function in classical fractional derivatives (e.g., Caputo and Riemann–Liouville definitions), making numerical calculations more stable and converging faster. The newly developed model is applied to the transient thermal shock response analysis of porous metallic semi-infinite medium via Laplace transform technique. Dimensionless results reveal that the non-singular fractional-order operators mitigate detrimental thermal and deformation responses. The increase of laser parameters enhances the actual surface energy absorption density, significantly improving structural response. The model provides direct engineering guidance for laser micromachining parameter optimization, thermal protection system material selection, and microstructure-informed porous material design.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796544","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":"Transport characteristics of Casson–Williamson nanofluid bioconvection in a periodic magnetic field","authors":"P. M. Patil, Sunil Benawadi","doi":"10.1007/s10999-026-09913-5","DOIUrl":"10.1007/s10999-026-09913-5","url":null,"abstract":"<div><p>Transport phenomena involving oxytactic microorganisms driven by thermobioconvection are critically important in numerous scientific and engineering fields, such as petroleum reservoirs, enhanced oil recovery methods, contaminant migration in groundwater aquifers, biological waste management, and geothermal energy utilisation. This study examines the transport characteristics of a Casson–Williamson nanofluid moving across an exponentially expanding surface, taking into account the combined effects of buoyancy forces, Brownian motion, thermophoresis, magnetic fields, and bioconvection. The research examines the response of oxytactic bioconvective nanofluids to a periodic magnetic field. A system of coupled and highly nonlinear partial differential equations regulates the physical problem. The equations are subsequently converted to dimensionless form with suitable non-similar transformations. The resultant equations are numerically resolved employing the quasilinearization technique alongside the implicit finite difference approach. The numerical results are shown in graphs illustrating the influence of significant physical parameters on fluid velocity, heat transfer, mass transfer, and bioconvection. Furthermore, increasing the Casson and Williamson parameter values significantly elevates surface friction, thereby decelerating the fluid within the boundary layer. The periodic character of the magnetic field alters the momentum distribution, causing the fluid to travel toward the wall rather than within a continuous magnetic field. This reduces wall shear stress and the associated skin-friction drag. As <i>Le</i> goes from 10 to 20, the pace at which nanoparticles move from one place to another moves up by about 37%. This shows how sensitive mass transfer is to how fast nanoparticles diffuse. The reported findings demonstrate significant agreement with prior studies, hence confirming the validity and reliability of the utilised numerical methodology.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738726","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":"Design and mechanical properties of multi-material negative Poisson’s ratio honeycombs: A study on structures with smooth curved edges","authors":"Junhua Xiao, Haoran Mei, Tianzeng Tao","doi":"10.1007/s10999-026-09915-3","DOIUrl":"10.1007/s10999-026-09915-3","url":null,"abstract":"<div><p>A multi-material honeycomb design based on a smooth curved-edge re-entrant cell with negative Poisson’s ratio behavior is proposed. In the present framework, the smooth curved-edge geometry is introduced to alleviate stress concentration at re-entrant junctions and to promote a more continuous deformation path, while the multi-material arrangement is employed as the principal strategy for tailoring local stiffness distribution and energy-absorption performance. The mechanical behavior of the proposed structure is investigated through a combined methodology of theoretical modeling, finite element analysis, and quasi-static experiments on baseline prototypes. An energy-based approach is used to derive the equivalent Poisson’s ratio of the multi-material multi-cell structure, and the analytical predictions are supported by numerical simulations. Quasi-static compression experiments and simulations on the baseline structure show an average discrepancy of 7.3% in plateau stress, supporting the predictive capability of the adopted numerical framework. The in-plane mechanical response of the proposed cellular structure under quasi-static compression and dynamic impact is systematically studied, with particular attention to deformation modes and energy-absorption characteristics. Compared with single-material structures made of low-carbon steel, aluminum alloy, and copper alloy, the multi-material design improves the specific energy absorption per unit mass by 13.2%, 14.6%, and 38.2%, respectively. Furthermore, under an impact velocity of − 4170 mm/s, the proposed energy-absorbing box achieves an <i>SEA</i> of 9.19 kJ·kg<sup>−1</sup>, which is 4.7% higher than that of the straight-edged benchmark structure (8.777 kJ·kg<sup>−1</sup>). More importantly, the proposed design exhibits a longer plateau stage and reduces the maximum contact force from 170 to 136.09 kN, indicating an improved crashworthiness response. These results provide useful support for the design of lightweight protective structures with enhanced load-control capability.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738281","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":"A dual-mesh virtual element particle method for simulating extreme deformation problems","authors":"Ruopu Zhou, Zhixin Zeng, Xiong Zhang","doi":"10.1007/s10999-026-09896-3","DOIUrl":"10.1007/s10999-026-09896-3","url":null,"abstract":"<div><p>A novel explicit dual-mesh virtual element particle (DM-VEP) method is proposed, establishing a general numerical framework for three-dimensional extreme deformation problems. This method uniquely integrates a hybrid Lagrangian–Eulerian framework, wherein virtual elements and particles, treated as generalized Lagrangian elements, are seamlessly coupled via an Eulerian background grid. To further enhance the simulation of material fracture or fragmentation, an adaptive conversion method of virtual elements to particles is developed. A background grid-based contact method is introduced for multi-body contact problems. Numerical examples demonstrate the robustness and versatility of the proposed method across a range of complex scenarios. This research highlights the potential of DM-VEP method as a powerful tool for solving intricate engineering problems with extreme deformation.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-026-09896-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738506","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":"Active control and forced vibrations of a smart sandwich viscoelastic microbeam resting on Vlasov’s foundation based on MCST","authors":"Mohammadjavad Jafari, Mehdi Mohammadimehr","doi":"10.1007/s10999-026-09879-4","DOIUrl":"10.1007/s10999-026-09879-4","url":null,"abstract":"<div><p>In this research, active control and forced vibrations of a smart sandwich microbeam with a viscoelastic core and piezoelectric face sheets are investigated, in which the top and bottom layers are considered as actuator and sensor, respectively. Displacement fields and governing equations are obtained based on Timoshenko’s beam theory and modified couple stress theory (MCST). The micro sandwich is resting on Vlasov’s foundation, and a harmonic force is applied to the structure. For optimal vibration control, the equations of motion are solved in state-space form using the linear quadratic regulator (LQR) approach. The effect of the viscoelastic parameter and LQR on vibration response is illustrated. Moreover, the influence of the viscoelastic parameter, loss factor, Vlasov’s foundation, and the length-to-thickness ratio on the frequency response, and natural frequency of a smart sandwich microbeam is analyzed. The results show that Vlasov’s foundation increases the loss factor and natural frequency, especially for lower length-to-thickness ratios. For length-to-thickness ratios 2 and 10, the natural frequency of the second mode increases by about 3.4 and 2.8 times relative to the natural frequency of the first mode, respectively, while this value is 7.4 and 5 times for the natural frequency of the third mode, but the length-to-thickness ratio has no significant effect on the loss factor. Additionally, the amplitude of vibration reduces significantly in a smart sandwich microbeam using LQR.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737978","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":"Size-dependent resonance and transient dynamics of functionally graded nanoplates via modified nonlocal strain gradient theory","authors":"Pham Van Vinh","doi":"10.1007/s10999-026-09914-4","DOIUrl":"10.1007/s10999-026-09914-4","url":null,"abstract":"<div><p>Size-dependent effects play a critical role in the transient and resonance behavior of nanoplates, requiring advanced computational frameworks capable of capturing both nonlocal interactions and strain-gradient mechanisms. In this study, a simulation-based framework is developed by integrating a modified nonlocal strain gradient theory with a higher-order shear deformation theory to investigate the dynamic responses of functionally graded nanoplates under various transverse excitations. The key novelty lies in integration of the modified nonlocal strain gradient theory into a time-domain dynamic formulation, enabling the simultaneous and consistent representation of nonlocal softening and strain-gradient hardening effects in transient and resonance responses, which is not typically captured. The governing equations of motion are derived via Hamilton’s principle and solved using an analytical–numerical strategy based on the Newmark–β time integration scheme. Transient and resonance responses are examined through time histories and phase-plane representations. Parametric simulations reveal that nonlocality, strain-gradient effects, material gradation, and geometric slenderness interact in a nontrivial manner, leading to asymmetric frequency responses and sensitivity amplification rather than a simple shift in natural frequencies. The results provide physically interpretable insights into nanoscale dynamic behavior and a reliable computational tool for simulation-driven analysis of nanostructures under dynamic loading.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147738252","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":"A Fourier series-based approach for the size-dependent free vibration of viscoelastic microbeams","authors":"Hayrullah Gun Kadioglu","doi":"10.1007/s10999-026-09908-2","DOIUrl":"10.1007/s10999-026-09908-2","url":null,"abstract":"<div><p>In this study, the free vibration behavior of viscoelastic microbeams was investigated by combining the Kelvin–Voigt viscoelastic model with the Modified Couple Stress theory. A semi-analytical method based on the Fourier series and Stokes transformations was developed for the analysis. The proposed approach provides highly accurate results under various boundary conditions due to its structure, which requires solving only a single eigenvalue problem. The convergence analysis of the method was performed to determine the optimal number of terms, and calculations were performed with the number of terms that would yield the most reliable results. Furthermore, the results were compared with studies in literature and confirmed to exhibit high accuracy at the micro scale. Furthermore, the relationship between frequency and damping according to the Kelvin–Voigt model was examined in detail; it was found that an increment in the viscous damping coefficient causes damping to rise linearly and the natural frequency to decrease. It was observed that the damping effect also became more pronounced due to the increase in micro-level stiffness in the system caused by the boost in the material length scale parameter. In conclusion, the developed method and the findings obtained provide important engineering data for the dynamic analysis of viscoelastic microbeams and the design of micro-scale structural elements, while also contributing to a deeper understanding of the frequency–damping interaction in viscoelastic systems.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 2","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-026-09908-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147737899","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}