Pub Date : 2025-07-07DOI: 10.1007/s10999-025-09802-3
Hayrullah Gün Kadıoğlu, Mustafa Özgür Yaylı
In this study, the torsional vibration behavior of functionally graded viscoelastic nanotubes under viscoelastic boundary conditions is investigated in detail within the framework of Doublet Mechanics Theory. A comprehensive solution method is presented that allows the combined consideration of nanoscale effects and viscoelastic behavior; the effects of fundamental parameters such as viscous damping parameter, scale parameter and power law exponent on the system dynamics are analytically revealed. Physical interpretations of both vibration frequencies and damping effects are made from the obtained complex frequency solutions, and the effects of these parameters on the frequency spectrum are analyzed in detail with the help of tables and graphs. The results clearly indicate that classical elastic models are inadequate for the torsional vibration behavior of viscoelastic nanotubes and damping effects at the nano level should not be ignored. Furthermore, it is displayed that there are clear mathematical relationships between the real and imaginary components of the complex frequencies obtained in the system under the direct influence of the viscoelastic model used. In this context, the study makes an important contribution not only theoretically but also in terms of practical applications for the design of nano-mechanical systems.
{"title":"Analysis of torsional vibration in viscoelastic functionally graded nanotubes with viscoelastic constraints using doublet mechanics theory","authors":"Hayrullah Gün Kadıoğlu, Mustafa Özgür Yaylı","doi":"10.1007/s10999-025-09802-3","DOIUrl":"10.1007/s10999-025-09802-3","url":null,"abstract":"<div><p>In this study, the torsional vibration behavior of functionally graded viscoelastic nanotubes under viscoelastic boundary conditions is investigated in detail within the framework of Doublet Mechanics Theory. A comprehensive solution method is presented that allows the combined consideration of nanoscale effects and viscoelastic behavior; the effects of fundamental parameters such as viscous damping parameter, scale parameter and power law exponent on the system dynamics are analytically revealed. Physical interpretations of both vibration frequencies and damping effects are made from the obtained complex frequency solutions, and the effects of these parameters on the frequency spectrum are analyzed in detail with the help of tables and graphs. The results clearly indicate that classical elastic models are inadequate for the torsional vibration behavior of viscoelastic nanotubes and damping effects at the nano level should not be ignored. Furthermore, it is displayed that there are clear mathematical relationships between the real and imaginary components of the complex frequencies obtained in the system under the direct influence of the viscoelastic model used. In this context, the study makes an important contribution not only theoretically but also in terms of practical applications for the design of nano-mechanical systems.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1811 - 1833"},"PeriodicalIF":3.6,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-025-09802-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145706137","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}
Pub Date : 2025-07-07DOI: 10.1007/s10999-025-09807-y
Shanwei Zhang
The current paper investigates the lateral performance of four-layer steel shear walls (SSW) encompassing embedded trapezoidal double-corrugated plates surrounded by flat steel plates. To this end, a one-story and single-span steel frame infilled with four-layer flat-corrugated steel plates, called flat-corrugated steel shear walls (FCSSWs), has been reviewed under lateral loading in the finite element ABAQUS software. Moreover, the lateral performance of flat SSWs (FSSWs), ordinary corrugated steel shear walls (CSSWs), and double-corrugated steel shear walls (DCSSWs) is investigated for comparison. Plate thickness and corrugation angle of the corrugated plates are two parameters. The findings showed that the FCSSWs demonstrate greater maximum strength, energy dissipation, and initial stiffness than other steel shear walls. The difference between the maximum strength of the FCSSWs and FSSWs varies between 6.1% and 13.3%. Also, the initial stiffness of the FCSSWs is at least 16.9% and a maximum of 47.7% more than that of FSSWs. Also, the maximum difference in the highest strength and initial stiffness of FCSSWs with DCSSWs is 16.3% and 12.6%, respectively. The findings showed that FCSSWs have shown increasing load-bearing capacity until the maximum allowable drift angle. CSSWs and DCSSWs may experience strength loss after plate buckling before the ultimate state.
{"title":"Improving the structural performance of steel shear wall systems with four-layer flat-corrugated steel plates in construction engineering","authors":"Shanwei Zhang","doi":"10.1007/s10999-025-09807-y","DOIUrl":"10.1007/s10999-025-09807-y","url":null,"abstract":"<div><p>The current paper investigates the lateral performance of four-layer steel shear walls (SSW) encompassing embedded trapezoidal double-corrugated plates surrounded by flat steel plates. To this end, a one-story and single-span steel frame infilled with four-layer flat-corrugated steel plates, called flat-corrugated steel shear walls (FCSSWs), has been reviewed under lateral loading in the finite element ABAQUS software. Moreover, the lateral performance of flat SSWs (FSSWs), ordinary corrugated steel shear walls (CSSWs), and double-corrugated steel shear walls (DCSSWs) is investigated for comparison. Plate thickness and corrugation angle of the corrugated plates are two parameters. The findings showed that the FCSSWs demonstrate greater maximum strength, energy dissipation, and initial stiffness than other steel shear walls. The difference between the maximum strength of the FCSSWs and FSSWs varies between 6.1% and 13.3%. Also, the initial stiffness of the FCSSWs is at least 16.9% and a maximum of 47.7% more than that of FSSWs. Also, the maximum difference in the highest strength and initial stiffness of FCSSWs with DCSSWs is 16.3% and 12.6%, respectively. The findings showed that FCSSWs have shown increasing load-bearing capacity until the maximum allowable drift angle. CSSWs and DCSSWs may experience strength loss after plate buckling before the ultimate state.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1917 - 1931"},"PeriodicalIF":3.6,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145706136","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}
Pub Date : 2025-07-05DOI: 10.1007/s10999-025-09788-y
Nhan Thinh Hoang, Pham Hoang Tu, Van Ke Tran, Thu Huong Nguyen Thi
The main goal of this paper is to present the free oscillation, static bending, and buckling of piezoelectric fluid-infiltrated porous metal foam (FPMF) nanosheet resting on Pasternak medium taking into account to flexoelectric and surface elasticity effects. The piezoelectric FPMF nanosheets are rested on Pasternak medium. The nonlocal strain gradient model in conjunction with refined higher-order shear deformation plate theory (rHSDT) and Hamilton’s variational principle derive the motion equations of piezoelectric FPMF nanosheet. The highlights of this study is that the two nonlocal and length-scale coefficients are variable along thickness like material characteristics. The equations of motion were solved through Navier’s method, from which the responses of displacement, stress, natural frequency and critical buckling load were extracted. The accuracy of the proposed method is verified through reliable publications. The outcome of this study reveals the significant effects of the nonlocal and length-scale parameters on the vibration, static bending, and buckling behaviors of piezoelectric FPMF nanosheets. The results of this study are a unique combination of size dependent effects, surface effects and flexoelectric effects, thus it will shed some light on the understanding of electromechanical behaviors at the nanometer scale.
{"title":"Static bending, buckling and vibration analysis of piezoelectric fluid-infiltrated porous metal foam nanosheet taking into account surface and flexoelectric effects","authors":"Nhan Thinh Hoang, Pham Hoang Tu, Van Ke Tran, Thu Huong Nguyen Thi","doi":"10.1007/s10999-025-09788-y","DOIUrl":"10.1007/s10999-025-09788-y","url":null,"abstract":"<div><p>The main goal of this paper is to present the free oscillation, static bending, and buckling of piezoelectric fluid-infiltrated porous metal foam (FPMF) nanosheet resting on Pasternak medium taking into account to flexoelectric and surface elasticity effects. The piezoelectric FPMF nanosheets are rested on Pasternak medium. The nonlocal strain gradient model in conjunction with refined higher-order shear deformation plate theory (rHSDT) and Hamilton’s variational principle derive the motion equations of piezoelectric FPMF nanosheet. The highlights of this study is that the two nonlocal and length-scale coefficients are variable along thickness like material characteristics. The equations of motion were solved through Navier’s method, from which the responses of displacement, stress, natural frequency and critical buckling load were extracted. The accuracy of the proposed method is verified through reliable publications. The outcome of this study reveals the significant effects of the nonlocal and length-scale parameters on the vibration, static bending, and buckling behaviors of piezoelectric FPMF nanosheets. The results of this study are a unique combination of size dependent effects, surface effects and flexoelectric effects, thus it will shed some light on the understanding of electromechanical behaviors at the nanometer scale.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1401 - 1437"},"PeriodicalIF":3.6,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145706093","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}
Pub Date : 2025-07-03DOI: 10.1007/s10999-025-09805-0
Haoxuan Ban
Many experiments have shown that micro-particle reinforced metal matrix composites (MPMMCs) display a strong particle size effect on mechanical behavior. Meanwhile, the stress concentration near the particle phase leads to matrix damage and interface debonding for composites in service. In this research, a modified conventional theory of mechanism-based strain gradient plasticity (CMSG) considering the damage effect, and a cohesive zone model are used to predict the mechanical behaviors of MPMMCs. The particle size effect and matrix damage behavior are characterized by modified CMSG while the interface debonding is controlled by the cohesive zone model. Details about the local distributions of strain, strain gradient and stress fields have been captured. An interesting phenomenon is found that matrix damage enhances the strain and strain gradient of the matrix, but interface debonding does the opposite. Both the interface debonding and matrix damage weakened the strength of composites. As a result, the numerical predictions agree well with both uniaxial tension and compression experiments. Furthermore, this work finds interface debonding takes the dominant role of damage mechanisms in uniaxial tension cases. However, matrix damage is dominated in compression cases. The present research should provide a comprehensive understanding of the mechanical behaviors of MPMMCs in service, which is also helpful for optimal designs of such advanced composites.
{"title":"A continuum model for micro-particle reinforced metal matrix composites with particle size, matrix damage and interface debonding effects","authors":"Haoxuan Ban","doi":"10.1007/s10999-025-09805-0","DOIUrl":"10.1007/s10999-025-09805-0","url":null,"abstract":"<div><p>Many experiments have shown that micro-particle reinforced metal matrix composites (MPMMCs) display a strong particle size effect on mechanical behavior. Meanwhile, the stress concentration near the particle phase leads to matrix damage and interface debonding for composites in service. In this research, a modified conventional theory of mechanism-based strain gradient plasticity (CMSG) considering the damage effect, and a cohesive zone model are used to predict the mechanical behaviors of MPMMCs. The particle size effect and matrix damage behavior are characterized by modified CMSG while the interface debonding is controlled by the cohesive zone model. Details about the local distributions of strain, strain gradient and stress fields have been captured. An interesting phenomenon is found that matrix damage enhances the strain and strain gradient of the matrix, but interface debonding does the opposite. Both the interface debonding and matrix damage weakened the strength of composites. As a result, the numerical predictions agree well with both uniaxial tension and compression experiments. Furthermore, this work finds interface debonding takes the dominant role of damage mechanisms in uniaxial tension cases. However, matrix damage is dominated in compression cases. The present research should provide a comprehensive understanding of the mechanical behaviors of MPMMCs in service, which is also helpful for optimal designs of such advanced composites.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1879 - 1902"},"PeriodicalIF":3.6,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145705961","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}
Pub Date : 2025-07-03DOI: 10.1007/s10999-025-09806-z
Henia Arfa, Faker Bouchoucha, Hayet Debbich, Khalil Aouadi, Yamen Ben Ammar, Corinne Nouveau
In this paper, the wave finite element (WFE) method is briefly presented and applied in order to extract the dispersion curves. The formulation of the laminated structure is detailed through the Timoshenko theory. The finite element technique is used to model the laminated beam and extract the mass and stiffness matrices for the bending vibration. The bending vibration of the laminated beam is simulated and discussed. The travelling and evanescent modes are illustrated to characterize the flexural wave propagation in laminated structure. The resolution of the equilibrium equation leads to the extraction of the analytical wave number as a function of the frequency in order to validate the dispersion curves simulated through the WFE method. The question of the influence of the layers thickness on the wave propagation is detailed. An uncertainty is introduced in the thickness as a Gaussian variable and the mean and the standard deviation of the dispersion curves are extracted through the Monte Carlo simulation. Among the contributions of this article, the laminated structures are modeled through the Abaqus software and the mass and stiffness matrices are extracted for the multimodal propagation. The multimodal wave number is presented and discussed for the travelling and evanescent modes.
{"title":"Wave propagation in laminated structure through wave finite element method","authors":"Henia Arfa, Faker Bouchoucha, Hayet Debbich, Khalil Aouadi, Yamen Ben Ammar, Corinne Nouveau","doi":"10.1007/s10999-025-09806-z","DOIUrl":"10.1007/s10999-025-09806-z","url":null,"abstract":"<div><p>In this paper, the wave finite element (WFE) method is briefly presented and applied in order to extract the dispersion curves. The formulation of the laminated structure is detailed through the Timoshenko theory. The finite element technique is used to model the laminated beam and extract the mass and stiffness matrices for the bending vibration. The bending vibration of the laminated beam is simulated and discussed. The travelling and evanescent modes are illustrated to characterize the flexural wave propagation in laminated structure. The resolution of the equilibrium equation leads to the extraction of the analytical wave number as a function of the frequency in order to validate the dispersion curves simulated through the WFE method. The question of the influence of the layers thickness on the wave propagation is detailed. An uncertainty is introduced in the thickness as a Gaussian variable and the mean and the standard deviation of the dispersion curves are extracted through the Monte Carlo simulation. Among the contributions of this article, the laminated structures are modeled through the Abaqus software and the mass and stiffness matrices are extracted for the multimodal propagation. The multimodal wave number is presented and discussed for the travelling and evanescent modes.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1903 - 1916"},"PeriodicalIF":3.6,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145705962","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}
Origami, the ancient Japanese art of paper folding, has evolved beyond its cultural origins to inspire innovations in engineering and design. By transforming a simple sheet of paper into complex three-dimensional structures, origami offers solutions where flexibility and structural efficiency are paramount. This work explores the application of these principles in origami structures, focusing on their development and optimization using shape memory materials and 4D printing. The study highlights the Miura-ori and Triangular Cylindrical Origami structures, both renowned for their mechanical properties and adaptability, making them ideal for various applications in mechanical engineering, aerospace engineering, robotics, and biomedicine. Using finite element numerical modeling, these structures were parameterized for optimization. A multi-objective optimization approach was adopted, aiming to reduce mass and internal stresses while maximizing material strength and efficiency. Graded structures were introduced, varying their geometric characteristics throughout the volume to explore optimized distributions of material and mechanical properties in response to loads. These variants represent a significant advancement in customizing functional properties, enabling structures to meet specific performance requirements with even greater precision. The optimization algorithms employed include particle swarm optimization, genetic algorithms, and the Sunflower algorithm, all applied to refine structural parameters and identify the best solutions in multi-objective optimization. This study also underscores the emerging importance of shape memory materials in additive manufacturing, particularly for applications that benefit from inherent structural adaptability. The integration of graded origami structures with advanced material technologies represents a promising frontier for future innovations in engineering and design, with the potential to revolutionize how functional structures are conceived and implemented across various fields. Quantitatively, the study achieved a hypervolume of 0.88 using the MOPSO algorithm for mass minimization, indicating a broad and effective search for optimal solutions. Additionally, experimental results demonstrated a 99.3% height recovery in the Miura-ori structure after deformation and heating, confirming the robustness and applicability of these structures in real-world scenarios.
{"title":"Optimization of shape memory origami structures: modeling, simulation, and 4D printing","authors":"Guilherme Ferreira Gomes, Gustavo Julião Benedito, Kouider Bendine","doi":"10.1007/s10999-025-09793-1","DOIUrl":"10.1007/s10999-025-09793-1","url":null,"abstract":"<div><p>Origami, the ancient Japanese art of paper folding, has evolved beyond its cultural origins to inspire innovations in engineering and design. By transforming a simple sheet of paper into complex three-dimensional structures, origami offers solutions where flexibility and structural efficiency are paramount. This work explores the application of these principles in origami structures, focusing on their development and optimization using shape memory materials and 4D printing. The study highlights the Miura-ori and Triangular Cylindrical Origami structures, both renowned for their mechanical properties and adaptability, making them ideal for various applications in mechanical engineering, aerospace engineering, robotics, and biomedicine. Using finite element numerical modeling, these structures were parameterized for optimization. A multi-objective optimization approach was adopted, aiming to reduce mass and internal stresses while maximizing material strength and efficiency. Graded structures were introduced, varying their geometric characteristics throughout the volume to explore optimized distributions of material and mechanical properties in response to loads. These variants represent a significant advancement in customizing functional properties, enabling structures to meet specific performance requirements with even greater precision. The optimization algorithms employed include particle swarm optimization, genetic algorithms, and the Sunflower algorithm, all applied to refine structural parameters and identify the best solutions in multi-objective optimization. This study also underscores the emerging importance of shape memory materials in additive manufacturing, particularly for applications that benefit from inherent structural adaptability. The integration of graded origami structures with advanced material technologies represents a promising frontier for future innovations in engineering and design, with the potential to revolutionize how functional structures are conceived and implemented across various fields. Quantitatively, the study achieved a hypervolume of 0.88 using the MOPSO algorithm for mass minimization, indicating a broad and effective search for optimal solutions. Additionally, experimental results demonstrated a 99.3% height recovery in the Miura-ori structure after deformation and heating, confirming the robustness and applicability of these structures in real-world scenarios.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1551 - 1587"},"PeriodicalIF":3.6,"publicationDate":"2025-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145706081","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}
Pub Date : 2025-06-25DOI: 10.1007/s10999-025-09784-2
Ning Gan, Jiayuan Kan, Bo Sun
Structural optimization has emerged as a fundamental pillar of modern engineering design, propelled by the imperative to augment structural performance while minimizing material consumption and weight. While topology optimization (TO) has demonstrated efficacy in fulfilling stiffness and dynamic requisites, extant methods reveal substantial lacunae in concurrently handling multi-material designs and buckling constraints, particularly when geometric fidelity and stability are of paramount significance. Although prior investigations have independently advanced iso-geometric analysis (IGA), multi-phase TO, and buckling-aware optimization, their isolated evolution gives rise to unresolved predicaments in circumstances demanding unified geometric resolution, material hybridization, and compressive stability. To bridge this chasm, this study proffers an integrated framework that synergizes a novel buckling-constrained topology optimization framework for multi-phase materials, integrating Iso-geometric Analysis (IGA) to enhance computational accuracy and geometric representation. This unified methodology addresses a critical constraint in conventional TO–the incapacity to co-optimize geometric precision, material heterogeneity, and stability constraints–enabling lightweight designs with assured manufacturability and resistance to failure under compression. The proposed approach harnesses the high-order continuity and precise geometry modeling capabilities of IGA to optimize material distribution while ensuring structural stability under compression. By incorporating critical buckling load constraints alongside compliance minimization, the framework achieves an optimal balance between stiffness, stability, and material efficiency. Numerical case studies validate the effectiveness of the proposed method, demonstrating significant improvements in buckling resistance, structural efficiency, and manufacturability. The results highlight the potential of IGA-based topology optimization in advancing stability-driven structural design, particularly for multi-phase material systems.
{"title":"Buckling-constrained topology optimization of multi-phase materials via iso-geometric analysis","authors":"Ning Gan, Jiayuan Kan, Bo Sun","doi":"10.1007/s10999-025-09784-2","DOIUrl":"10.1007/s10999-025-09784-2","url":null,"abstract":"<div><p>Structural optimization has emerged as a fundamental pillar of modern engineering design, propelled by the imperative to augment structural performance while minimizing material consumption and weight. While topology optimization (TO) has demonstrated efficacy in fulfilling stiffness and dynamic requisites, extant methods reveal substantial lacunae in concurrently handling multi-material designs and buckling constraints, particularly when geometric fidelity and stability are of paramount significance. Although prior investigations have independently advanced iso-geometric analysis (IGA), multi-phase TO, and buckling-aware optimization, their isolated evolution gives rise to unresolved predicaments in circumstances demanding unified geometric resolution, material hybridization, and compressive stability. To bridge this chasm, this study proffers an integrated framework that synergizes a novel buckling-constrained topology optimization framework for multi-phase materials, integrating Iso-geometric Analysis (IGA) to enhance computational accuracy and geometric representation. This unified methodology addresses a critical constraint in conventional TO–the incapacity to co-optimize geometric precision, material heterogeneity, and stability constraints–enabling lightweight designs with assured manufacturability and resistance to failure under compression. The proposed approach harnesses the high-order continuity and precise geometry modeling capabilities of IGA to optimize material distribution while ensuring structural stability under compression. By incorporating critical buckling load constraints alongside compliance minimization, the framework achieves an optimal balance between stiffness, stability, and material efficiency. Numerical case studies validate the effectiveness of the proposed method, demonstrating significant improvements in buckling resistance, structural efficiency, and manufacturability. The results highlight the potential of IGA-based topology optimization in advancing stability-driven structural design, particularly for multi-phase material systems.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1323 - 1339"},"PeriodicalIF":3.6,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145706237","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}
Pub Date : 2025-06-23DOI: 10.1007/s10999-025-09779-z
Pawan Kumar, Sontipee Aimmanee
This paper investigates the static bending deflection and vibration behavior of porous multidirectional functionally graded circular piezoelectric (MD-FGCP) plates resting on variable elastic foundations under thermoelectromechanical loading. The material properties of the MD-FGCP porous plate vary radially and through the thickness, following sigmoidal distributions, and account for both even and uneven porosity profiles. The plate consists of PZT-4 at the top and the PZT-5H at the bottom. The analysis employs modified first-order shear deformation theory (FSDT) with von Kármán nonlinear strains to derive the governing equations. The system is solved using an eight-node quadratic finite element (FE) formulation, ensuring high-order continuity and accurate geometric representation. The study explores the effects of various parameters, including radius-to-thickness ratio (R/h), porosity parameter (µ), bidirectional material exponents (n and m), boundary conditions, variable elastic foundation, thermal variations, and electrical loading. These factors significantly influence the static deflection, radial stress distribution, and natural frequencies of the plate. The solution approach is validated through convergence studies and comparison with existing literature. The findings highlight that variable elastic foundations and porosity distributions under thermoelectromechanical loading notably affect the static and dynamic responses of the MD-FGCP plate. This work provides valuable insights into the design and optimization of FGCP porous plate-based smart structures, with potential applications in MEMS, biomedical devices, and energy harvesting systems. The proposed approach offers a more accurate and efficient method for analyzing and designing these complex systems, leading to better performance and reliability in practical applications.
{"title":"Thermoelectrical vibration and bending analysis of multidirectional functionally graded circular piezoelectric porous sigmoid plate resting on variable elastic foundations","authors":"Pawan Kumar, Sontipee Aimmanee","doi":"10.1007/s10999-025-09779-z","DOIUrl":"10.1007/s10999-025-09779-z","url":null,"abstract":"<p>This paper investigates the static bending deflection and vibration behavior of porous multidirectional functionally graded circular piezoelectric (MD-FGCP) plates resting on variable elastic foundations under thermoelectromechanical loading. The material properties of the MD-FGCP porous plate vary radially and through the thickness, following sigmoidal distributions, and account for both even and uneven porosity profiles. The plate consists of PZT-4 at the top and the PZT-5H at the bottom. The analysis employs modified first-order shear deformation theory (FSDT) with von Kármán nonlinear strains to derive the governing equations. The system is solved using an eight-node quadratic finite element (FE) formulation, ensuring high-order continuity and accurate geometric representation. The study explores the effects of various parameters, including radius-to-thickness ratio (<i>R</i>/<i>h</i>), porosity parameter (<i>µ</i>), bidirectional material exponents (<i>n</i> and <i>m</i>), boundary conditions, variable elastic foundation, thermal variations, and electrical loading. These factors significantly influence the static deflection, radial stress distribution, and natural frequencies of the plate. The solution approach is validated through convergence studies and comparison with existing literature. The findings highlight that variable elastic foundations and porosity distributions under thermoelectromechanical loading notably affect the static and dynamic responses of the MD-FGCP plate. This work provides valuable insights into the design and optimization of FGCP porous plate-based smart structures, with potential applications in MEMS, biomedical devices, and energy harvesting systems. The proposed approach offers a more accurate and efficient method for analyzing and designing these complex systems, leading to better performance and reliability in practical applications.</p>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1207 - 1238"},"PeriodicalIF":3.6,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145706209","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}
Pub Date : 2025-06-19DOI: 10.1007/s10999-025-09794-0
Amit Pandey, Jitendra Adhikari, Diwakar Singh, Vikas Narain, Rajeev Kumar
This study investigates a novel energy harvesting approach using flex tensional piezoelectric bridge structures integrated with auxetic metamaterials. Auxetic structures, characterized by their unique negative Poisson’s ratio, offer a distinct advantage for energy harvesting applications by generating favourable strain distributions that enhance the output of piezoelectric materials. A finite element model is developed to analyse the electromechanical functionality of a bridge structure utilizing an auxetic substrate with PZT-5A piezoelectric material. Key geometric parameters, including cavity height, cavity length, thickness ratio, end cap thickness, and apex length, are optimized to maximize energy output while mitigating potential mechanical failures. The study's findings reveal significant improvements in energy harvesting efficiency due to the auxetic design, highlighting its potential for applications under dynamic loading conditions, such as in roadways, tiles and smart wearables. This research presents an extensive exploration of auxetic structures in piezoelectric energy harvesting, opening new pathways for smart, adaptive energy solutions.
{"title":"Smart structural framework for energy harvesting using auxetic metamaterial-embedded flex-tensional piezoelectric bridges","authors":"Amit Pandey, Jitendra Adhikari, Diwakar Singh, Vikas Narain, Rajeev Kumar","doi":"10.1007/s10999-025-09794-0","DOIUrl":"10.1007/s10999-025-09794-0","url":null,"abstract":"<div><p>This study investigates a novel energy harvesting approach using flex tensional piezoelectric bridge structures integrated with auxetic metamaterials. Auxetic structures, characterized by their unique negative Poisson’s ratio, offer a distinct advantage for energy harvesting applications by generating favourable strain distributions that enhance the output of piezoelectric materials. A finite element model is developed to analyse the electromechanical functionality of a bridge structure utilizing an auxetic substrate with PZT-5A piezoelectric material. Key geometric parameters, including cavity height, cavity length, thickness ratio, end cap thickness, and apex length, are optimized to maximize energy output while mitigating potential mechanical failures. The study's findings reveal significant improvements in energy harvesting efficiency due to the auxetic design, highlighting its potential for applications under dynamic loading conditions, such as in roadways, tiles and smart wearables. This research presents an extensive exploration of auxetic structures in piezoelectric energy harvesting, opening new pathways for smart, adaptive energy solutions.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1589 - 1608"},"PeriodicalIF":3.6,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145706171","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}
Pub Date : 2025-06-18DOI: 10.1007/s10999-025-09777-1
Mehmet Tayyip Ozdemir, Turan Das, Ismail Esen
This study employs the high-order shear stress theorem and nonlocal strain gradient elasticity theory to foresee and evaluate the heating and buckling behavior of sandwich nanoplates featuring a hexachiral auxetic core layer and magneto-electro-elastic surface layers. This study examines the influence of electroelasticity and magnetostriction for the magnetic electroelastic surface layers, as well as the mechanical impacts on the hexachiral structure of the primary layer, to obtain the equations of motion for the sandwich nanoplate. Separate studies are performed to assess the influence of the core layer and the surface layers on the thermal buckling performance of sandwich smart nanoplates, with the findings of these analyses recorded. The analysis reveals that the auxetic structure in the core layer significantly influences the thermal buckling behavior inside the sandwich nanoplate. Furthermore, studies indicate that the buckling behavior of a sandwich nanoplate is considerably influenced by external electric and magnetic potentials applied to the surface layers. Generally, applying of an external electric potential induces a softening reaction in the surface layer of the sandwich nanoplate, thus reducing the buckling temperatures. Conversely, the magnetostrictive material on the surfaces induces a hardening effect contingent upon the introduction of a magnet outside, hence elevating the buckling temperatures.
{"title":"Effect of the hexachiral auxetic structure on the thermal buckling behaviour of the magneto electro elastic sandwich smart nano plate using nonlocal strain gradient elasticity","authors":"Mehmet Tayyip Ozdemir, Turan Das, Ismail Esen","doi":"10.1007/s10999-025-09777-1","DOIUrl":"10.1007/s10999-025-09777-1","url":null,"abstract":"<div><p>This study employs the high-order shear stress theorem and nonlocal strain gradient elasticity theory to foresee and evaluate the heating and buckling behavior of sandwich nanoplates featuring a hexachiral auxetic core layer and magneto-electro-elastic surface layers. This study examines the influence of electroelasticity and magnetostriction for the magnetic electroelastic surface layers, as well as the mechanical impacts on the hexachiral structure of the primary layer, to obtain the equations of motion for the sandwich nanoplate. Separate studies are performed to assess the influence of the core layer and the surface layers on the thermal buckling performance of sandwich smart nanoplates, with the findings of these analyses recorded. The analysis reveals that the auxetic structure in the core layer significantly influences the thermal buckling behavior inside the sandwich nanoplate. Furthermore, studies indicate that the buckling behavior of a sandwich nanoplate is considerably influenced by external electric and magnetic potentials applied to the surface layers. Generally, applying of an external electric potential induces a softening reaction in the surface layer of the sandwich nanoplate, thus reducing the buckling temperatures. Conversely, the magnetostrictive material on the surfaces induces a hardening effect contingent upon the introduction of a magnet outside, hence elevating the buckling temperatures.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 6","pages":"1153 - 1182"},"PeriodicalIF":3.6,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-025-09777-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145706166","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}