International Journal of Mechanics and Materials in Design最新文献

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Nonlocal thermoelastic response of semiconductor media with double porosity under photothermal excitation 光热激励下双孔隙半导体介质的非局部热弹性响应
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-03-07 DOI: 10.1007/s10999-026-09873-w
Gamal M. Ismail, E. S. Elidy, Amr M. S. Mahdy, Ramdan S. Tantawi, Khaled Lotfy
{"title":"Nonlocal thermoelastic response of semiconductor media with double porosity under photothermal excitation","authors":"Gamal M. Ismail,&nbsp;E. S. Elidy,&nbsp;Amr M. S. Mahdy,&nbsp;Ramdan S. Tantawi,&nbsp;Khaled Lotfy","doi":"10.1007/s10999-026-09873-w","DOIUrl":"10.1007/s10999-026-09873-w","url":null,"abstract":"<div><p>In light of the growing importance of micro- and nano-structured semiconductor devices under dynamic photothermal environments, this study presents an analytical investigation of the nonlocal thermoelastic response of a semiconductor medium with a double porosity structure under photothermal excitation, formulated within a two-dimensional framework. The governing equations are established based on Eringen’s nonlocal elasticity theory and the Lord–Shulman generalized thermoelastic model, incorporating two interacting pore networks characteristic of matrix and fracture systems. Using harmonic wave analysis (normal mode technique), the coupled field equations for displacement, temperature, stress, and carrier density are transformed into the frequency domain and solved analytically under laser-induced surface excitation. The resulting solutions reveal the spatial behavior of thermoelastic and photothermal fields, demonstrating significant influences of nonlocality, dual porosity, thermoelastic coupling, and thermoelectric interaction on wave dispersion, stress localization, and heat propagation. This work offers a comprehensive theoretical basis for the design and analysis of advanced porous semiconductor systems in photothermal applications.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441187","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}
引用次数: 0
Design of a 3D printed wheelchair cushion for offloading using functionally graded materials and novel FEM topology optimization 采用功能梯度材料和新颖的有限元拓扑优化设计3D打印轮椅卸载垫
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-03-05 DOI: 10.1007/s10999-026-09876-7
Rachel Tilley, Edmund Pickering, Maria Woodruff, David Holmes
{"title":"Design of a 3D printed wheelchair cushion for offloading using functionally graded materials and novel FEM topology optimization","authors":"Rachel Tilley,&nbsp;Edmund Pickering,&nbsp;Maria Woodruff,&nbsp;David Holmes","doi":"10.1007/s10999-026-09876-7","DOIUrl":"10.1007/s10999-026-09876-7","url":null,"abstract":"<div><p>3D printed wheelchair cushions made from flexible thermoplastic polyurethane gyroid structures enable highly customized shape and stiffness, offering superior pressure offloading for those at risk of pressure injuries. However, there is currently a limited understanding of how non-uniform stiffnesses can be leveraged in design to realize this potential, highlighting a need for improved numerical methods. To this end, this work presents the first finite element model representative of the seated buttocks on a 3D printed cushion using a novel non-linear homogenization approach. Next, a gradient-free lattice optimization approach for optimising the 3-dimensional stiffness distribution across the cushion for reducing maximum contact stress is also presented. Using our approach, the optimized 3D printed cushion had a 42% reduction in maximum contact stress compared with a uniform stiffness cushion and a 31% reduction compared with a traditional contoured foam polyurethane cushion design. The deep soft tissue stress under the ischial tuberosities (sit-bones) also decreased by 39% following optimization. This model suggests that 3D printed cushions can offer significant advantages in pressure offloading, which could translate to improved health outcomes and highlights a promising avenue for future work. The homogenization approach for representing variable stiffness gyroid structures may be used in future work to inform the design of 3D printed wheelchair cushions for clinical applications.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-026-09876-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362677","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}
引用次数: 0
Buckling analysis of piezoelectric nano-laminated plates with flexoelectric and surface effects 具有挠曲电效应和表面效应的压电纳米层合板屈曲分析
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-03-04 DOI: 10.1007/s10999-026-09889-2
Junhua Xiao, Jie Lv, Zuwei Zhang, Meifen Wang
{"title":"Buckling analysis of piezoelectric nano-laminated plates with flexoelectric and surface effects","authors":"Junhua Xiao,&nbsp;Jie Lv,&nbsp;Zuwei Zhang,&nbsp;Meifen Wang","doi":"10.1007/s10999-026-09889-2","DOIUrl":"10.1007/s10999-026-09889-2","url":null,"abstract":"<div><p>This paper established a model of double-layer rectangular piezoelectric nano-laminated plates with different surface properties on both sides. Taking into account the flexoelectric and surface effects, the buckling behavior of piezoelectric nano-laminated plates was calculated and analyzed. Based on the surface piezoelectric model and flexoelectric theory, the governing equations of piezoelectric nano-laminated plates under the Kirchhoff plate theory were derived using the Hamilton principle, and the solutions for the buckling critical potential and buckling critical load of the piezoelectric nano-laminated plates were obtained. The results show that the influence of the surface effect on the critical electric potential and critical load for the buckling of piezoelectric nano-laminated plates increases as the aspect ratio of the piezoelectric nano-laminated plates increases. The surface effect can increase the critical electric potential and critical load for the buckling of the nano-laminated plates. When the surface residual stress of the nano-laminated plates is negative, the surface effect reduces the critical electric potential and critical load for the buckling of the nano-laminated plates. When the surface residual stress of the nano-laminated plates is positive, the opposite is true, and the influence of the surface effect increases with the increase of the surface residual stress value. The influence of the flexoelectric effect on the critical electric potential and critical load of the buckling of nano-laminated plates will increase as the flexoelectric coefficient of the lower layer plate decreases. Moreover, the flexoelectric effect can increase the critical electric potential and critical load of the buckling of the nano-laminated plates. The research methods and results of this work can provide a theoretical model and analysis method for the microstructure design, multi-physics field characterization and buckling behavior of piezoelectric nano-laminated intelligent elements.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147363209","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}
引用次数: 0
Study on MLS meshless method for linear bending and free vibration of piezolaminated stiffened plates 压电层合加筋板线性弯曲和自由振动的MLS无网格方法研究
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-03-02 DOI: 10.1007/s10999-026-09885-6
Linxin Peng, Yao Zhong, Yajing Shen, Jianfei Zhang, Boling Zhang
{"title":"Study on MLS meshless method for linear bending and free vibration of piezolaminated stiffened plates","authors":"Linxin Peng,&nbsp;Yao Zhong,&nbsp;Yajing Shen,&nbsp;Jianfei Zhang,&nbsp;Boling Zhang","doi":"10.1007/s10999-026-09885-6","DOIUrl":"10.1007/s10999-026-09885-6","url":null,"abstract":"<div><p>Stiffened piezoelectric laminated plates integrate piezoelectric functionality and enhanced structural performance, yet their accurate analysis is urgently in need of reliable methodological support, which constitutes the core motivation of this study. Based on the linear elastic piezoelectric constitutive relationship, this study proposes a Moving Least-squares (MLS) meshless Galerkin method for the linear bending and free vibration analysis of stiffened piezoelectric laminated plates. The method employs the MLS technique to construct the displacement field, incorporates electric potential degrees of freedom, and combines the First-order Shear Deformation Theory (FSDT). By superimposing the energy functionals of the plate and stiffeners to satisfy displacement compatibility, the governing equations are derived using the principle of minimum potential energy and Hamilton’s principle, respectively, while boundary conditions are handled via the full transformation method. To verify the accuracy, numerical simulations are conducted under different lamination schemes, load conditions, and boundary conditions, with results compared against ABAQUS finite element solutions and existing literature data. Findings show that compared to unstiffened plates, stiffeners significantly enhance local stiffness, reduce deformation, and increase natural frequencies. The proposed meshless method provides a reliable tool for the accurate analysis of stiffened piezoelectric laminated plates, and the optimal design of stiffeners can meet the demands of lightweight and high-stiffness smart structures in aerospace, marine, and other fields.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147335930","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}
引用次数: 0
Three-dimensional free vibration analysis of multi-layer and multi-directional functionally graded parallelogram plates with nonlinearly variable cross-sections 非线性变截面多层多向功能梯度平行四边形板的三维自由振动分析
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-02-28 DOI: 10.1007/s10999-026-09880-x
Yuan Gao, Yaqiang Xue, Zhenyang Gao, Chunyu Zhang
{"title":"Three-dimensional free vibration analysis of multi-layer and multi-directional functionally graded parallelogram plates with nonlinearly variable cross-sections","authors":"Yuan Gao,&nbsp;Yaqiang Xue,&nbsp;Zhenyang Gao,&nbsp;Chunyu Zhang","doi":"10.1007/s10999-026-09880-x","DOIUrl":"10.1007/s10999-026-09880-x","url":null,"abstract":"<div><p>This paper focuses on the free vibration of multi-layer, multi-directional functionally graded parallelogram plates with variable cross-sections. The properties of functionally graded materials (FGMs) exhibit a continuous and smooth graded distribution along the <i>y</i> and <i>z</i> directions. A variable cross-sectional plate is specifically defined as one whose cross-sectional dimensions gradually vary through the thickness direction. The geometric model is accurately constructed using non-uniform rational B-Splines (NURBS). Based on three-dimensional (3D) elastic theory, the weak form for free vibration of functionally graded plates with variable cross-sections is derived using isogeometric analysis. Compared with conventional finite element method, the isogeometric approach achieves the same accuracy with significantly fewer degrees of freedom. Lastly, a comprehensive study using representative examples is conducted to investigate the effects of cross-sectional geometry, material graded distribution, boundary conditions, and geometric dimensions on free vibration. This work offers new insights for future 3D isogeometric free vibration studies of plate with variable cross-sections.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342563","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}
引用次数: 0
Editorial: message from the Editor-in-Chief 社论:总编辑的留言
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-02-27 DOI: 10.1007/s10999-026-09868-7
Shaker A. Meguid
{"title":"Editorial: message from the Editor-in-Chief","authors":"Shaker A. Meguid","doi":"10.1007/s10999-026-09868-7","DOIUrl":"10.1007/s10999-026-09868-7","url":null,"abstract":"","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342558","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}
引用次数: 0
Seismic performance assessment of elliptic braced frames incorporating XADAS dampers 结合XADAS阻尼器的椭圆支撑框架抗震性能评估
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-02-26 DOI: 10.1007/s10999-026-09875-8
Arefeh Sadat Faal Nazari, Abbas Haghollahi, Mohammad Hadi Bagherinejad
{"title":"Seismic performance assessment of elliptic braced frames incorporating XADAS dampers","authors":"Arefeh Sadat Faal Nazari,&nbsp;Abbas Haghollahi,&nbsp;Mohammad Hadi Bagherinejad","doi":"10.1007/s10999-026-09875-8","DOIUrl":"10.1007/s10999-026-09875-8","url":null,"abstract":"<div><p>The elliptic brace is a new lateral resistance system recently presented. This paper investigates the performance of a yielding damper named X-shaped added damping and stiffness (XADAS) on the elliptic braced frame. For this purpose, 12 XADAS dampers with different numbers of plates, dimensions, and thicknesses were utilized on three braced frames. Also, three sections, including BOX 60 × 4, BOX 80 × 6, and BOX 100 × 10, were considered for the braces. The models were subjected to a cyclic loading and a non-linear static analysis. Three parameters, dissipated energy, fracture tendency and response modification factor, were evaluated to compare the models. The numerical analysis illustrated that the frames without dampers dissipate more energy at the end of loading due to higher stiffness, but they also experience more failures. Therefore, the models were compared at an equal value of dissipated energy and fracture tendency for a correct comparison. In comparing the models with the same fracture tendency, it was observed that the frame with a damper can dissipate up to 93% more energy than the model without a damper. The models with 15 cm-high dampers have experienced less damage, and in the models equipped with 9 cm-high dampers, more damage has been transferred to the dampers. The results showed that the model braced by the BOX 80 × 6 and equipped with the damper that the number, height and thickness of plates are respectively equal to 6, 15 cm and 8 mm has the best performance regarding dissipated energy, fracture tendency and response modification factor.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342254","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}
引用次数: 0
Advanced modeling of magneto-thermoelastic interactions in rotating viscoelastic rods using Caputo-Fabrizio fractional derivatives and nonlocal heat conduction with a correlating length 基于Caputo-Fabrizio分数导数和相关长度的非局部热传导的旋转粘弹性棒中磁-热弹性相互作用的高级建模
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-02-26 DOI: 10.1007/s10999-026-09877-6
Ahmed E. Abouelregal, Kareem Alanazi, Marin Marin
{"title":"Advanced modeling of magneto-thermoelastic interactions in rotating viscoelastic rods using Caputo-Fabrizio fractional derivatives and nonlocal heat conduction with a correlating length","authors":"Ahmed E. Abouelregal,&nbsp;Kareem Alanazi,&nbsp;Marin Marin","doi":"10.1007/s10999-026-09877-6","DOIUrl":"10.1007/s10999-026-09877-6","url":null,"abstract":"<div><p>Conventional thermoelastic models fail to capture the coupled size-dependent, memory-dependent, and high-frequency dynamics inherent in rotating viscoelastic nanostructures under multi-physics loads. To bridge this gap, this study introduces the first unified theoretical model that simultaneously incorporates Eringen’s nonlocal elasticity, Guyer–Krumhansl nonlocal heat conduction with a thermal length-scale parameter, the non-singular Caputo–Fabrizio fractional derivative, and a fractional Lord–Shulman/Moore–Gibson–Thompson thermoelastic framework. Applied to a finite rotating viscoelastic Kelvin–Voigt rod under a transverse magnetic field and a moving heat source, the unified formulation captures size-dependent mechanical behavior, nonlocal thermal diffusion, hereditary memory effects, finite thermal wave speed, Lorentz forces, and rotational dynamics in a single consistent framework. Results show that mechanical and thermal nonlocality dramatically smooth temperature gradients, lower peak temperatures, reduce displacement amplitudes, and virtually eliminate stress concentrations compared to classical local theories. The Caputo–Fabrizio derivative delivers smoother, more physically realistic memory-dependent responses than both the integer-order case and the traditional singular-kernel Caputo derivative. Rotation speed, magnetic field intensity, heat-source velocity, and fractional order strongly influence wave propagation and field distributions. The model provides an accurate predictive tool for rotating micro/nano rods in MEMS/NEMS, high-speed laser processing of viscoelastic nanostructures, magnetically controlled smart composites, aerospace components under combined thermal-rotational-electromagnetic loading, and advanced flexible electronics where precise management of size-dependent thermal stresses is critical. It establishes a robust, physically consistent foundation for designing and optimizing modern viscoelastic nanostructures subjected to extreme multi-physics environments.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147341782","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}
引用次数: 0
Analytical and numerical analyses of thin-walled cylindrical structures in multifactorial stabilities 薄壁圆柱结构多因素稳定性的解析与数值分析
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-02-26 DOI: 10.1007/s10999-026-09888-3
J. Y. Chen, H. S. Zhou, Y. H. Xiao, X. W. Wang, Z. Zhang
{"title":"Analytical and numerical analyses of thin-walled cylindrical structures in multifactorial stabilities","authors":"J. Y. Chen,&nbsp;H. S. Zhou,&nbsp;Y. H. Xiao,&nbsp;X. W. Wang,&nbsp;Z. Zhang","doi":"10.1007/s10999-026-09888-3","DOIUrl":"10.1007/s10999-026-09888-3","url":null,"abstract":"<div><p>The stability of thin-walled structures under water can be affected by many factors including initial defects and deformations/stresses. Geometric defects produced in the manufacturing process are usually randomly distributed and often difficult to quantify. Therefore, this paper studies the influence of modal amplitude defects and local Gaussian pit defects on structural stability. The modal amplitude defects are used to characterize the defect morphology of the actual structure. The experimental results show that the deviation between the numerical solution and the experimental value is 3.69%. Aiming at the problem that the deviation between the theoretical value and the experimental value gradually increases when the length-diameter ratio of the model increases in the CCS2018 specification formula. Based on the neural network prediction model, this paper proposes a geometric factor that comprehensively considers the influence of ellipticity and geometric factors to modify the specification formula. Then the quantitative relationship between structural deformation and stability is established. It is verified that the deviation between the analytical solution of the modified formula and the experimental value is 3.92%. In addition, this paper further discusses the influence of welding residual stress and deformation on the bearing capacity of the structure under external pressure. The research shows that the existence of residual stress and deformation can increase the bearing capacity of the structure under external pressure by about 8% ~ 15%.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342255","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}
引用次数: 0
Rapidly convergent mixed fem for geometrically nonlinear analysis of laminated composite beams integrating 3d strain effects 考虑三维应变效应的层合组合梁几何非线性快速收敛混合有限元分析
IF 3.6 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2026-02-24 DOI: 10.1007/s10999-026-09878-5
Umit N. Aribas, Merve Ermis, Elif Koc, Mehmet H. Omurtag
{"title":"Rapidly convergent mixed fem for geometrically nonlinear analysis of laminated composite beams integrating 3d strain effects","authors":"Umit N. Aribas,&nbsp;Merve Ermis,&nbsp;Elif Koc,&nbsp;Mehmet H. Omurtag","doi":"10.1007/s10999-026-09878-5","DOIUrl":"10.1007/s10999-026-09878-5","url":null,"abstract":"<div><p>This study presents a mixed finite element (MFE) formulation designed to efficiently determine the geometrically nonlinear behavior of laminated composite beams, ensuring rapid convergence and reduced computational cost. This is achieved by incorporating all 3D strain components into the constitutive equations while satisfying the beam theory stress-free surface conditions. Von Kármán nonlinear strains are derived from a displacement field including three displacements and three rotations per node. The governing equations, obtained from the first variation of the Hellinger–Reissner functional, are linearized via an incremental formulation and solved iteratively using the Newton–Raphson algorithm. The proposed MFE is based on Timoshenko beam theory and enhanced by the integration of the cross-sectional warping deformations over a displacement-based FE formulation. The two-noded MFE involves twelve degrees of freedom per node and achieves rapid convergence with substantially reduced computational cost. Its performance is assessed through comparison with advanced beam formulations featuring refined kinematics, as well as 3D solid element simulations for asymmetric [0°/90°] cross-ply laminated beams. It provides satisfactory convergent results via very few degrees of freedom compared to the 20-node brick finite elements and 4-node shell finite elements of ANSYS. Parametric studies discuss the influence of cross-ply lamination, material anisotropy, and geometric design on the ratio of geometrically nonlinear to linear displacements, highlighting the significance of design-induced nonlinearities in high-performance structural applications.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"22 1","pages":""},"PeriodicalIF":3.6,"publicationDate":"2026-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-026-09878-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147341315","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}
引用次数: 0
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