International Journal of Solids and Structures最新文献

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Design and sound absorption analysis of labyrinthine acoustic metamaterials based on fractal theory 基于分形理论的迷宫式声学超材料的设计与吸声分析
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-28 DOI: 10.1016/j.ijsolstr.2024.113121
DongXing Cao , LiMing Wang , JunRu Wang , XiangYing Guo , HaiTao Li
{"title":"Design and sound absorption analysis of labyrinthine acoustic metamaterials based on fractal theory","authors":"DongXing Cao ,&nbsp;LiMing Wang ,&nbsp;JunRu Wang ,&nbsp;XiangYing Guo ,&nbsp;HaiTao Li","doi":"10.1016/j.ijsolstr.2024.113121","DOIUrl":"10.1016/j.ijsolstr.2024.113121","url":null,"abstract":"<div><div>Acoustic metamaterials exhibit exceptional sound absorption capabilities. This study introduces a fractal labyrinthine acoustic metamaterial (FLAM) designed for sound absorption analyses in a low-frequency range of 1–2000 Hz. The fractal curve is constructed through side substitution on an isosceles right triangle, which is chosen as the spatial recursive substructure due to its self-similarity. The FLAM model is then developed. With the thermal viscous losses considered in narrow channels, the sound absorption coefficient of this model is theoretically analyzed as the structural parameters significantly affect the sound absorption. A comprehensive analysis of low-frequency sound absorption performance is conducted for the first three orders, and the reconstruction of the structure with different combinations of fractal orders is examined to optimize the FLAM. The results show that the proposed FLAM achieves nearly perfect absorption in the 50–400 Hz range, with peak absorption coefficients of 0.99, 0.95, and 0.95 for the first three orders. The proposed FLAMs for the first three orders have total thicknesses of <span><math><mrow><mn>0.032</mn><mi>λ</mi></mrow></math></span>, <span><math><mrow><mn>0.021</mn><mi>λ</mi></mrow></math></span>, and <span><math><mrow><mn>0.019</mn><mi>λ</mi></mrow></math></span>, demonstrating excellent low-frequency sound absorption at deep sub-wavelength scales.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113121"},"PeriodicalIF":3.4,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Metabarriers for mitigating traffic-induced surface waves: Mechanism dependence on buried arrangements 用于减缓交通引起的表面波的元载体:机制取决于埋设方式
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-28 DOI: 10.1016/j.ijsolstr.2024.113120
Yifei Xu , Haoran Lu , Zhigang Cao , Songye Zhu
{"title":"Metabarriers for mitigating traffic-induced surface waves: Mechanism dependence on buried arrangements","authors":"Yifei Xu ,&nbsp;Haoran Lu ,&nbsp;Zhigang Cao ,&nbsp;Songye Zhu","doi":"10.1016/j.ijsolstr.2024.113120","DOIUrl":"10.1016/j.ijsolstr.2024.113120","url":null,"abstract":"<div><div>Locally resonant metamaterials provide exceptional wave manipulation capabilities in the low-frequency regime. This study introduces a buried metabarrier, which can simultaneously harness both resonant and geometric scatterings, to attenuate surface Rayleigh waves at both low and high frequencies induced by traffic. In particular, how the buried arrangements of metabarriers influence their resonant- and geometric-scattering mechanisms is investigated by considering the metabarrier units buried vertically and horizontally in the ground. To this purpose, a numerical finite element model, which is verified through comparisons with existing studies, is developed to analyze the attenuation performance of the metabarrier. Using this model, we perform parametric studies to examine the effects of the material properties and dimensions of the metabarriers on their attenuation behavior. Due to resonant scattering, low-frequency Rayleigh waves are mainly reflected by the vertical metabarriers; in contrast, they are predominantly converted into refracted bulk waves by the horizontal metabarriers. Additionally, the geometric scattering of horizontal metabarriers yields Bragg effects, which can reflect more high-frequency Rayleigh waves and induce a partial mode conversion to transverse bulk waves. Our systematic investigations will, to some extent, facilitate the future design of a well-performing metabarrier attenuating broadband Rayleigh waves.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113120"},"PeriodicalIF":3.4,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142572818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mixed-mode fracture prediction of notched components using phase-field approach 利用相场方法预测缺口部件的混合模式断裂
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-26 DOI: 10.1016/j.ijsolstr.2024.113113
Bahador Bahrami, Hossein Ahmadian, Mohammad R. Mehraban, Majid R. Ayatollahi
{"title":"Mixed-mode fracture prediction of notched components using phase-field approach","authors":"Bahador Bahrami,&nbsp;Hossein Ahmadian,&nbsp;Mohammad R. Mehraban,&nbsp;Majid R. Ayatollahi","doi":"10.1016/j.ijsolstr.2024.113113","DOIUrl":"10.1016/j.ijsolstr.2024.113113","url":null,"abstract":"<div><div>The application of the phase-field method (PFM) to brittle fracture for studying complex fracture phenomena has recently gained attention from researchers. However, there has been limited emphasis on predicting fracture loads for notched components. In this study, numerous phase-field simulations were conducted to compute the fracture load and crack initiation angle in brittle notched components under in-plane loading conditions. The accuracy of the results, verified against experimental data, demonstrates the PFM’s ability to precisely predict both fracture load and fracture initiation angle. Additionally, it has been demonstrated that Miehe’s spectral decomposition method provides more reliable results for notched Brazilian Disc specimens subjected to compressive loading than those obtained using Amor’s volumetric-deviatoric split method.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113113"},"PeriodicalIF":3.4,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142593510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Adaptively remeshed multiphysical modeling of resistance forge welding with experimental validation of residual stress fields and measurement processes 通过残余应力场和测量过程的实验验证,自适应重塑电阻锻造焊接的多物理模型
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-24 DOI: 10.1016/j.ijsolstr.2024.113112
Andrew J. Stershic , Christopher R. D’Elia , Lauren L. Beghini , Michael R. Hill , Bjørn Clausen , Dorian K. Balch , Michael Maguire , Christopher W. San Marchi , James W. Foulk III , Alexander A. Hanson , Kevin L. Manktelow
{"title":"Adaptively remeshed multiphysical modeling of resistance forge welding with experimental validation of residual stress fields and measurement processes","authors":"Andrew J. Stershic ,&nbsp;Christopher R. D’Elia ,&nbsp;Lauren L. Beghini ,&nbsp;Michael R. Hill ,&nbsp;Bjørn Clausen ,&nbsp;Dorian K. Balch ,&nbsp;Michael Maguire ,&nbsp;Christopher W. San Marchi ,&nbsp;James W. Foulk III ,&nbsp;Alexander A. Hanson ,&nbsp;Kevin L. Manktelow","doi":"10.1016/j.ijsolstr.2024.113112","DOIUrl":"10.1016/j.ijsolstr.2024.113112","url":null,"abstract":"<div><div>Welding processes used in the production of pressure vessels impart residual stresses in the manufactured component. Computational modeling is critical to predicting these residual stress fields and understanding how they interact with notches and flaws to impact pressure vessel durability. In this work, we present a finite element model for a resistance forge weld and validate it using laboratory measurements. Extensive microstructural changes, near-melt temperatures, and large localized deformations along the weld interface pose significant challenges to Lagrangian finite element modeling. The proposed modeling approach overcomes these roadblocks in order to provide a high-fidelity simulation that can predict the residual stress state in the manufactured pressure vessel; a rich microstructural constitutive model accounts for material recrystallization dynamics, a frictional-to-tied contact model is coordinated with the constitutive model to represent interfacial bonding, and adaptive remeshing is employed to alleviate severe mesh distortion. An interrupted-weld approach is applied to the simulation to facilitate comparison to displacement measures. Several techniques are employed for residual stress measurement in order to validate the finite element model: neutron diffraction, the contour method, and the slitting method. Model-measurement comparisons are supplemented with detailed simulations that reflect the configurations of the residual-stress measurement processes themselves. The model results show general agreement with experimental measurements, and we observe some similarities in the features around the weld region. Factors that contribute to model-measurement differences are identified. Finally, we conclude with some discussion of the model development and residual stress measurement strategies, including how to best leverage the efforts put forth here for other weld problems.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113112"},"PeriodicalIF":3.4,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142593509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An investigation of rapid surface melting in nanowires 纳米线表面快速熔化的研究
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-23 DOI: 10.1016/j.ijsolstr.2024.113106
Benhour Amirian, Kaan Inal
{"title":"An investigation of rapid surface melting in nanowires","authors":"Benhour Amirian,&nbsp;Kaan Inal","doi":"10.1016/j.ijsolstr.2024.113106","DOIUrl":"10.1016/j.ijsolstr.2024.113106","url":null,"abstract":"<div><div>The investigation into virtual melting phenomena in nanowires holds significant relevance owing to its profound impact on material durability under extreme loading conditions. Thus, the exploration of this pivotal plastic deformation mechanism is undertaken utilizing the phase-field methodology. Employing a monolithic solver, we solve the coupled highly nonlinear time-dependent Ginzburg–Landau equation and dynamic elasticity equation. Our analysis encompasses the consideration of surface tension stress in conjunction with a coherent solid–liquid interface subjected to uniaxial transformation strain, thereby unveiling intriguing facets of melting phenomena. The investigation delves into the influence of transformation strain, kinetic coefficient, and temperature on the thickness of the solid–liquid interface and its corresponding velocity. This analysis is conducted through meticulous comparison with existing experimental data and molecular dynamics simulation. Moreover, employing the phase-field method yields precise descriptions of the system kinetics, capturing virtual melting phenomena in both pristine and flawed nanowire configurations.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113106"},"PeriodicalIF":3.4,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Constitutive modeling of thermo-chemical decomposition and thermo-mechanical deformation, coupled with transient heat conduction, in ablative matrix composite 烧蚀基复合材料热化学分解和热机械变形以及瞬态热传导的结构建模
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-23 DOI: 10.1016/j.ijsolstr.2024.113100
Rupesh Prasad, Shantanu S. Mulay, T. Jayachandran
{"title":"Constitutive modeling of thermo-chemical decomposition and thermo-mechanical deformation, coupled with transient heat conduction, in ablative matrix composite","authors":"Rupesh Prasad,&nbsp;Shantanu S. Mulay,&nbsp;T. Jayachandran","doi":"10.1016/j.ijsolstr.2024.113100","DOIUrl":"10.1016/j.ijsolstr.2024.113100","url":null,"abstract":"<div><div>Several thermal protection systems employ sacrificial composite layer that undergoes thermo-chemical decomposition in high-temperature environment. This results in the pyrolysis gas formation (endothermic reaction) that gets trapped inside the voids generated in the ablative matrix phase. These trapped gases apply pore pressure on the structure, along with the mechanical loading, thus significantly influencing the structure failure. A novel thermo-chemical (TC) decomposition and thermo-mechanical (TM) deformation-based coupled multi-physics formulation, applicable to ablative composite systems, is thus presented. A novel shrinkage expression, due to ablative matrix decomposition, is derived. The TC + TM coupled formulation is converted to stress update process, and its results are validated against the available experimental data. The proposed formulation is also converted to boundary value problem employing non-linear finite element framework (NL-FEM). The Jacobian matrices, for one- and two-dimensional cases, are systematically derived, and the proposed NL-FEM formulation is successfully verified against several benchmark problems.</div><div>The transient heat conduction equation is finally coupled with the proposed TC + TM formulation (one-way coupling) thus enabling the analysis of more realistic situations where the constant heating rate assumption is not valid. The coupled formulation is finally implemented for several test cases and it is demonstrated that, it has a significant influence on pore pressure and porosity evolution (through pore volumetric strain) within the ablative matrix phase.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113100"},"PeriodicalIF":3.4,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Buckling analysis of PMMA hemispherical pressure shells with thickness variation 具有厚度变化的 PMMA 半球形压力壳的屈曲分析
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-22 DOI: 10.1016/j.ijsolstr.2024.113109
Longhui Wang , Yongmei Zhu , Xilu Zhao , Jian Zhang
{"title":"Buckling analysis of PMMA hemispherical pressure shells with thickness variation","authors":"Longhui Wang ,&nbsp;Yongmei Zhu ,&nbsp;Xilu Zhao ,&nbsp;Jian Zhang","doi":"10.1016/j.ijsolstr.2024.113109","DOIUrl":"10.1016/j.ijsolstr.2024.113109","url":null,"abstract":"<div><div>The buckling behaviour of polymethyl methacrylate (PMMA) hemispherical pressure shells under uniform external pressure was investigated experimentally and numerically. Six PMMA hemispherical pressure shells were prepared via the free blow-forming process. The geometry and wall thickness of each hemispherical shell were measured. The collapse loads and final failure modes of all shells were obtained via a hydrostatic pressure device. In addition, through optical 3D scanning, a numerical model of the hemispherical shell that reflects the actual geometric imperfection was established and used in the finite element buckling analysis. The numerical results were in agreement with the test results. These findings provide a reference for evaluating the buckling load of PMMA hemispherical shells prepared via the free blow-forming process.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113109"},"PeriodicalIF":3.4,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Influence of block arrangement on mechanical performance in topological interlocking assemblies: A study of the versatile block 块体排列对拓扑互锁组件机械性能的影响:对多功能块的研究
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-20 DOI: 10.1016/j.ijsolstr.2024.113102
Tom Goertzen , Domen Macek , Lukas Schnelle , Meike Weiß , Stefanie Reese , Hagen Holthusen , Alice C. Niemeyer
{"title":"Influence of block arrangement on mechanical performance in topological interlocking assemblies: A study of the versatile block","authors":"Tom Goertzen ,&nbsp;Domen Macek ,&nbsp;Lukas Schnelle ,&nbsp;Meike Weiß ,&nbsp;Stefanie Reese ,&nbsp;Hagen Holthusen ,&nbsp;Alice C. Niemeyer","doi":"10.1016/j.ijsolstr.2024.113102","DOIUrl":"10.1016/j.ijsolstr.2024.113102","url":null,"abstract":"<div><div>Topological interlocking assemblies (TIA) are arrangements of blocks kinematically constrained by a fixed frame, such that all rigid body motions of each block are prevented by the neighbouring blocks and the frame. In the literature, several blocks are introduced that can be arranged into interlocking assemblies, however only few of them can be arranged in non-unique ways. This study investigates a particularly versatile interlocking block called the Versatile Block: this block can be arranged in three different doubly periodic ways given by wallpaper symmetries. We investigate the hypothesis that the arrangement of copies of the same block influences the mechanical response of a TIA. We examine the interlocking mechanism and the correlation between arrangement and overall structural performance in planar TIA consisting of the Versatile Block. Furthermore, we analyse load transfer mechanisms within the assemblies and from the assemblies onto the frame. For fast apriori evaluation of the load transfer onto the frame we introduce a combinatorial model called Interlocking Flows. To investigate our assemblies from a mechanical point of view we conduct several finite element studies. These reveal a strong influence of arrangement on the structural behaviour, for instance, an impact on both the point and amount of maximum deflection under a given load, thereby confirming our hypothesis. We also evaluate the accuracy of the proposed Interlocking Flow model by a comparison with the finite element simulations.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113102"},"PeriodicalIF":3.4,"publicationDate":"2024-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A multi-scale constitutive model for AlSi10Mg alloy fabricated via laser powder bed fusion 通过激光粉末床熔融技术制造的 AlSi10Mg 合金的多尺度构成模型
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-19 DOI: 10.1016/j.ijsolstr.2024.113111
Mingqi Lei , Ramesh Aditya , Lu Liu , Mao See Wu , Jundong Wang , Kun Zhou , Yao Yao
{"title":"A multi-scale constitutive model for AlSi10Mg alloy fabricated via laser powder bed fusion","authors":"Mingqi Lei ,&nbsp;Ramesh Aditya ,&nbsp;Lu Liu ,&nbsp;Mao See Wu ,&nbsp;Jundong Wang ,&nbsp;Kun Zhou ,&nbsp;Yao Yao","doi":"10.1016/j.ijsolstr.2024.113111","DOIUrl":"10.1016/j.ijsolstr.2024.113111","url":null,"abstract":"<div><div>Additively Manufactured (AM) aluminum alloys find extensive applications in various fields due to their favorable properties. Numerical simulations play a crucial role in reducing experimental costs and enhancing reliability. Developing a reliable constitutive numerical model requires careful consideration of the hierarchical microstructure inherent in AM aluminum alloys. In response, a multiscale constitutive model has been formulated for the AlSi10Mg alloy, fabricated through laser powder bed fusion. This model incorporates crystal plasticity theory and micromechanics-based homogenization methods to establish representative volume elements at different length scales. These scales include the grain scale, polycrystalline scale, and macro scale, thus facilitating a seamless transition between them. The model is calibrated using macroscopic and average phase stress–strain relationships, demonstrating its capability to predict lattice strain in each phase. Additionally, this model incorporates a quantitative analysis of the effects of two-phase structure, melt pool structure, and porosity by adjusting microstructure parameters. The developed model is embedded into a user-defined material subroutine, providing an efficient approach to investigate microstructure-property relationships in AM alloys.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113111"},"PeriodicalIF":3.4,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Three-dimensional buckling analysis of stiffened plates with complex geometries using energy element method 利用能量元素法对具有复杂几何形状的加劲板进行三维屈曲分析
IF 3.4 3区 工程技术
International Journal of Solids and Structures Pub Date : 2024-10-18 DOI: 10.1016/j.ijsolstr.2024.113105
Zhao Jing , Yanjie Liu , Lei Duan , Siqi Wang
{"title":"Three-dimensional buckling analysis of stiffened plates with complex geometries using energy element method","authors":"Zhao Jing ,&nbsp;Yanjie Liu ,&nbsp;Lei Duan ,&nbsp;Siqi Wang","doi":"10.1016/j.ijsolstr.2024.113105","DOIUrl":"10.1016/j.ijsolstr.2024.113105","url":null,"abstract":"<div><div>A novel numerical method, energy element method (EEM), is proposed for the three-dimensional (3D) buckling analysis of stiffened plates with complex geometries. The problem is formulated in a cuboidal domain, and any complex geometric stiffened plate is modeled by assigning cutouts within the cuboidal domain. The stiffened plate is considered as an energy body and is discretized using Gauss points with variable stiffness properties to simulate its energy distribution. Incorporating the extended interval integration, Gauss quadrature, variable stiffness properties, and Chebyshev polynomials, the strain energy of stiffened plates with complex geometries can be numerically simulated by putting the stiffness and thickness of Gauss points in the cutouts to zero in the cuboidal domain. Using the principle of minimum potential energy and Ritz solution procedure, the deformation and buckling behaviors of stiffened plates with complex geometries can be captured. As a result of the new formulations in EEM, new standard energy functionals and solving procedures have been developed. In addition, Gauss points are generated within the energy elements accounting for the geometric boundaries of the stiffened plate, which are characterized by level set functions. EEM is employed to investigate complex-shaped stiffened plates with straight or curvilinear stiffeners, and the results are compared to those obtained using FEM or mesh-free method. The precision, generalization, and stability of EEM are demonstrated.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113105"},"PeriodicalIF":3.4,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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