Finite Elements in Analysis and Design最新文献

筛选
英文 中文
Effective FE simulation methods for fillet welding process by continuous distributed heat input and element combination 通过连续分布式热输入和元素组合实现角焊过程的有效 FE 仿真方法
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-05-07 DOI: 10.1016/j.finel.2024.104181
Xiaoyu Guan, Mikihito Hirohata
{"title":"Effective FE simulation methods for fillet welding process by continuous distributed heat input and element combination","authors":"Xiaoyu Guan,&nbsp;Mikihito Hirohata","doi":"10.1016/j.finel.2024.104181","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104181","url":null,"abstract":"<div><p>This study proposed effective finite element methods for simulating the fillet welding process on T-shaped joints. The T-shaped fillet welded joints were fabricated, and the process was simulated by a Continuous Distributed heat input method (CD method) and combining shell and solid elements. This study compared the models by the Discontinuous Uniform heat input method (DU method) and the CD method. The results showed that the CD method not only simplified the modeling process but also reduced the calculation time compared to the DU method. Furthermore, combining solid and shell elements reduced the number of nodal points in the models. The calculation time of the models by the element combination was significantly reduced. By comparing with experiments, it was shown that the CD heat input method and the combination of solid and shell elements could save calculation time while keeping the analysis accuracy.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"236 ","pages":"Article 104181"},"PeriodicalIF":3.1,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140880497","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
Evaluation of borehole interface shear test simulations for cohesive soils under monotonic loading: A comparison of Mohr–Coulomb and hypoplasticity constitutive models 单调荷载下粘性土的钻孔界面剪切试验模拟评估:莫尔-库仑构成模型与低塑性构成模型的比较
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-05-03 DOI: 10.1016/j.finel.2024.104180
Shen Wang , Mu’ath I. Abu Qamar , Muhannad T. Suleiman , Natasha Vermaak
{"title":"Evaluation of borehole interface shear test simulations for cohesive soils under monotonic loading: A comparison of Mohr–Coulomb and hypoplasticity constitutive models","authors":"Shen Wang ,&nbsp;Mu’ath I. Abu Qamar ,&nbsp;Muhannad T. Suleiman ,&nbsp;Natasha Vermaak","doi":"10.1016/j.finel.2024.104180","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104180","url":null,"abstract":"<div><p>The Cyclic Interface Shear Test (CIST) device was recently developed to evaluate the response of soil–structure interfaces subjected to monotonic or cyclic loading. Numerical models of the CIST have not been documented. Such simulations may be beneficial to help guide the design of experiments, interpret results, and inform the development of further experimental device modifications. In the present paper, a series of interface shear tests utilizing the CIST system on a cohesive soil under monotonic loadings were simulated using a proposed three-dimensional model in the commercial finite element analysis software ABAQUS/Standard. Comparisons of simulations with experimental results are presented for the Mohr–Coulomb and hypoplasticity models for cohesive soils. It is found that (i) the clay-based hypoplasticity model outperformed the simpler Mohr–Coulomb model in terms of predicting the interface shear stress evolution and the soil volume change and (ii) the clay-based hypoplasticity model allows for identification of trends in shear response as a function of normal confining pressures at the soil–structure interface (e.g. soil–structure interface shear zone thickness). Neither of these capabilities have previously been documented or experimentally validated for cohesive soil–structure interface simulations using clay-based hypoplasticity models.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"237 ","pages":"Article 104180"},"PeriodicalIF":3.1,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140825160","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
On-the-fly multiscale analysis of composite materials with a Generalized Finite Element Method 用广义有限元法对复合材料进行实时多尺度分析
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-04-30 DOI: 10.1016/j.finel.2024.104166
B. Mazurowski , P. O’Hara , C.A. Duarte
{"title":"On-the-fly multiscale analysis of composite materials with a Generalized Finite Element Method","authors":"B. Mazurowski ,&nbsp;P. O’Hara ,&nbsp;C.A. Duarte","doi":"10.1016/j.finel.2024.104166","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104166","url":null,"abstract":"<div><p>A multiscale computational framework to capture stress concentrations and localized nonlinearity in composite structures is presented. An enriched approximation space, constructed using the generalized finite element method (GFEM), is used to incorporate nonlinear, heterogeneous material behavior into coarse-scale models on the fly. Enrichment functions are constructed using the GFEM with global–local enrichment functions (GFEM<span><math><msup><mrow></mrow><mrow><mi>g</mi><mi>l</mi></mrow></msup></math></span>). The auxiliary local problems associated with the GFEM<span><math><msup><mrow></mrow><mrow><mi>g</mi><mi>l</mi></mrow></msup></math></span> also define fine-scale constitutive behavior that is inherited by the coarse global problem. This allows a coarse homogenized global problem to learn about material heterogeneity and/or nonlinearity on the fly, considerably increasing the flexibility of the method. On top of the explicit definition of heterogeneity in local problems, the locally defined constitutive law can incorporate further levels of heterogeneity that are not explicitly modeled at the global scale. The proposed GFEM<span><math><msup><mrow></mrow><mrow><mi>g</mi><mi>l</mi></mrow></msup></math></span> comes with the efficiency and scalability characteristic of the method and greatly increases the flexibility when applied to heterogeneous structures with localized material nonlinearity.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"236 ","pages":"Article 104166"},"PeriodicalIF":3.1,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X2400060X/pdfft?md5=51437c94a54699f9a0a13a387b88dfe3&pid=1-s2.0-S0168874X2400060X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140813221","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
3D formulation of mono-symmetrical composite beams with deformable connection 具有可变形连接的单对称复合梁的三维模型
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-04-24 DOI: 10.1016/j.finel.2024.104163
Yassir Wardi, Pisey Keo, Mohammed Hjiaj
{"title":"3D formulation of mono-symmetrical composite beams with deformable connection","authors":"Yassir Wardi,&nbsp;Pisey Keo,&nbsp;Mohammed Hjiaj","doi":"10.1016/j.finel.2024.104163","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104163","url":null,"abstract":"<div><p>This paper deals with a 3D linear formulation for mono-symmetric composite beams with deformable connection, taking into account non-uniform torsion. To simplify the development of the analytical solution, it is assumed that the warping of each layer of the composite section has no contribution on the stress resultants of each layer. Therefore, the warping function obtained with the classical St-Venant beam theory can be used for each subsection. As a result, the variables associated to both connection shearing plans become uncoupled. Using the virtual work principle, the governing equations are derived, and solved in closed-form. Based on the analytical expressions of the displacement fields, the exact stiffness matrix of the composite beam is computed. In addition, a displacement-based formulation is suggested. Appropriate polynomial interpolation functions are selected to circumvent slip-locking phenomenon. It has been shown that the slip-locking can be avoided by using quadratic shape function for axial displacement interpolations, by providing an additional middle node in each layer. Four examples are investigated in this paper. The prediction as well as the performance of the proposed direct stiffness method, are compared against an existing solution from the literature. In addition, slip-locking problem is addressed and the performance of the displacement-based method against the exact formulation is evaluated. The influence of warping effects on the composite beam response is assessed. Finally, a parametric study is conducted to evaluate the influence of connection rigidity and the coupling of the displacement fields on slip distributions.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"237 ","pages":"Article 104163"},"PeriodicalIF":3.1,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140640835","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
Multiphysics modeling of magnetoelectric composite disks by a 2D axisymmetric finite element approach 用二维轴对称有限元方法对磁电复合材料盘进行多物理场建模
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-04-24 DOI: 10.1016/j.finel.2024.104169
S. Karimi , H. Talleb
{"title":"Multiphysics modeling of magnetoelectric composite disks by a 2D axisymmetric finite element approach","authors":"S. Karimi ,&nbsp;H. Talleb","doi":"10.1016/j.finel.2024.104169","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104169","url":null,"abstract":"<div><p>A 2D axisymmetric finite element multiphysics model is proposed to study magnetoelectric composite disks. This modeling approach includes a nonlinear magneto-elastic model to replicate the behavior of magnetostrictive materials under static conditions. Additionally, it offers a harmonic regime resolution that considers frequency dependence, including the implicit inclusion of eddy currents in the formulation, as well as electrical load. To validate the model, simulation results regarding the dependence of the static magnetic field and frequency are presented and compared with experimental measurements from literature.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"237 ","pages":"Article 104169"},"PeriodicalIF":3.1,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140644550","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
Stress–displacement stabilized finite element analysis of thin structures using solid-shell elements, Part I: On the need of interpolating the stresses 使用固壳元素对薄结构进行应力-位移稳定有限元分析,第一部分:关于内插应力的必要性
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-04-22 DOI: 10.1016/j.finel.2024.104168
A. Aguirre , R. Codina , J. Baiges
{"title":"Stress–displacement stabilized finite element analysis of thin structures using solid-shell elements, Part I: On the need of interpolating the stresses","authors":"A. Aguirre ,&nbsp;R. Codina ,&nbsp;J. Baiges","doi":"10.1016/j.finel.2024.104168","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104168","url":null,"abstract":"<div><p>This work studies the solid-shell finite element approach to approximate thin structures using a stabilized mixed displacement–stress formulation based on the Variational Multiscale framework. The work is divided in two parts. In Part I, the numerical locking effects inherent to the solid-shell approach are characterized using a variety of benchmark problems in the infinitesimal strain approximation. In Part II, the results are extended to formulate the mixed approach in finite strain hyperelastic problems. In the present work, the stabilized mixed displacement–stress formulation is proven to be adequate to deal with all kinds of numerical locking. Additionally, a more comprehensive analysis of each individual type of numerical locking, how it is triggered and how it is overcome is also provided. The numerical locking usually occurs when parasitic strains overtake the system of equations through specific components of the stress tensor. To properly analyze them, the direction of each component of the stress tensor has been defined with respect to the shell directors. Therefore, it becomes necessary to formulate the solid-shell problem in curvilinear coordinates, allowing to give mechanical meaning to the stress components (shear, twisting, membrane and thickness stresses) independently of the global frame of reference. The conditions in which numerical locking is triggered as well as the stress tensor component responsible of correcting the locking behavior have been identified individually by characterizing the numerical response of a set of different benchmark problems.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"236 ","pages":"Article 104168"},"PeriodicalIF":3.1,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000623/pdfft?md5=7c545daa21b7e5817ed48636c9015b4a&pid=1-s2.0-S0168874X24000623-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140631635","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
Multiscale topology optimization of structures by using isogeometrical level set approach 利用等几何水平集方法对结构进行多尺度拓扑优化
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-04-12 DOI: 10.1016/j.finel.2024.104167
Masoud Aminzadeh, Seyed Mehdi Tavakkoli
{"title":"Multiscale topology optimization of structures by using isogeometrical level set approach","authors":"Masoud Aminzadeh,&nbsp;Seyed Mehdi Tavakkoli","doi":"10.1016/j.finel.2024.104167","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104167","url":null,"abstract":"<div><p>This study aims to optimize topology of structures at macro and micro scales, simultaneously, by using a level set method in an isogeometric analysis (IGA) framework. To achieve this, equilibrium and homogenization equations in the model are solved by IGA method. The level set functions are defined over a grid in parameter space of associating b-splines of the IGA model. Therefore, control net of the model and level set grid are separated and there is no need to refine the control net for having smooth boundaries. Sensitivity analyses for both scales are performed to calculate the velocity of boundary points and the level set functions are updated by solving reaction-diffusion equations. Finally, several 2D and 3D examples with different geometry and boundary conditions are provided to show performance and efficiency of the method. Obtained results show good agreement with examples in literature in terms of both topology and final value of objective function. Also, by using IGA level set method, smooth boundaries are achieved in the final topology of micro and macro structures.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"235 ","pages":"Article 104167"},"PeriodicalIF":3.1,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140549469","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
Topology optimization of coated structures infilled with multiple materials 填充多种材料的涂层结构的拓扑优化
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-04-10 DOI: 10.1016/j.finel.2024.104165
Tiannan Hu , Yaguang Wang , Hao Li , Minghao Yu , Kozo Furuta , Kazuhiro Izui , Shinji Nishiwaki
{"title":"Topology optimization of coated structures infilled with multiple materials","authors":"Tiannan Hu ,&nbsp;Yaguang Wang ,&nbsp;Hao Li ,&nbsp;Minghao Yu ,&nbsp;Kozo Furuta ,&nbsp;Kazuhiro Izui ,&nbsp;Shinji Nishiwaki","doi":"10.1016/j.finel.2024.104165","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104165","url":null,"abstract":"<div><p>A novel topology optimization method for the design of coated structures infilled with multiple materials is proposed in this paper, where a novel material interpolation model for the topology description is developed based on the ordered SIMP scheme. With the introduction of two special Heaviside projections into the two-step filtering and projection procedure, the external coating and the substrate region can be well identified by using several modified design variables. Then, the material distribution of the multi-material infilling is obtained by multiplying the infill identification field with the piece-wisely projected design variables and optimized via the mathematical programming algorithm under the ordered SIMP framework. Using an eroded density field and its original field, the uniform thickness of the external coating can be well controlled. The proposed approach for optimizing coated structures with multi-phase infill materials is easy to implement due to its implementation relying on those frequently-used filtering and projection operations. Besides, without introducing any additional design variables, the method developed in this paper inherits the advantages of the ordered SIMP method and has great calculation efficiency and stable iteration performance. With the consideration of several issues such as different coating thicknesses and different design parameters, several 2D numerical examples are studied to demonstrate the effectiveness of the proposed approach, as well as a 3D example. The optimization results illustrate that the method developed in this paper is effective for the design of coated structures infilled with multiple materials and the advantages of considering multiple infill materials is also validated.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"235 ","pages":"Article 104165"},"PeriodicalIF":3.1,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140540676","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
Finite elements procedure for evaluating temperature distribution in polyurethane-coated wheels 评估聚氨酯涂层车轮温度分布的有限元程序
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-04-09 DOI: 10.1016/j.finel.2024.104164
M. Palmieri , F. Cianetti , C. Braccesi
{"title":"Finite elements procedure for evaluating temperature distribution in polyurethane-coated wheels","authors":"M. Palmieri ,&nbsp;F. Cianetti ,&nbsp;C. Braccesi","doi":"10.1016/j.finel.2024.104164","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104164","url":null,"abstract":"<div><p>Polymeric materials find extensive applications across various engineering sectors. Among these, a particularly critical application for these materials is in the field of roller coasters. The wheels are typically made with an aluminum hub and a dense polyurethane coating, which, being in contact with the track, endures dynamic loads at high speeds. Due to the viscoelastic behavior typical of polymeric materials, these loads induce overheating of the coating leading to rapid degradation of the wheel. This results in machine downtime and a significant waste of time and money. In this manuscript, a methodology for finite element thermal-structural analysis has been developed. This method allows for the rapid evaluation of temperatures reached during operational cycles if compared to classical coupled-field thermal-structural analysis. The proposed methodology proves to be useful in selecting the appropriate type of wheels during the design phase requiring short computational time. The study first involved the development of the methodology, followed by validation through a comparison of analysis results with data obtained from experimental tests conducted by the manufacturer.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"236 ","pages":"Article 104164"},"PeriodicalIF":3.1,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140539787","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
A free vibration analysis of carbon nanotube reinforced magneto-electro-elastic nanoplates using nonlocal strain gradient theory 利用非局部应变梯度理论对碳纳米管增强磁电弹性纳米板进行自由振动分析
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-04-04 DOI: 10.1016/j.finel.2024.104154
Chien H. Thai , P.T. Hung , H. Nguyen-Xuan , P. Phung-Van
{"title":"A free vibration analysis of carbon nanotube reinforced magneto-electro-elastic nanoplates using nonlocal strain gradient theory","authors":"Chien H. Thai ,&nbsp;P.T. Hung ,&nbsp;H. Nguyen-Xuan ,&nbsp;P. Phung-Van","doi":"10.1016/j.finel.2024.104154","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104154","url":null,"abstract":"<div><p>This study presents a combination approach of the higher-order shear deformation theory, nonlocal strain gradient theory (NSGT) and isogeometric analysis (IGA) for the free vibration of carbon nanotube-reinforced (CNT) magneto-electro-elastic (MEE) nanoplates. To account size-dependent effects at the nanoscale, the classical theory model is extended with two additional scale parameters. However, this extended model necessitates at least the third derivative of the approximation function, which is incompatible with the standard finite element method. So, IGA with NURBS offers higher-order continuity through its basis functions, making it well-suited for this size-dependent model. To simplify computations, a power-law scheme is employed to represent the material properties. Various distribution types of carbon nanotubes (CNTs) including UD, FG-X, FG-O and FG-V are incorporated to investigate their effects on mechanical behaviors of CNT-MEE nanoplates. The governing equations of motion are derived in their weak form using the principle of extended virtual displacement and then solved by isogeometric analysis (IGA). The impact of the magnetic, electric and elastic fields on the coupling behaviors of CNT-MEE nanoplates are studied. Specially, parametric studies are conducted to analyze the influence of geometrical parameters, CNT distributions, CNT volume fraction, matrix volume fraction, electric voltage, magnetic potential, nonlocal and strain gradient parameters on the natural frequencies of the CNT-MEE nanoplates. Comparisons between the results obtained using NSGT and the classical theory reveal significant findings. The natural frequencies calculated by NSGT exhibit dependence on the relative values of the nonlocal and strain gradient parameters.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"236 ","pages":"Article 104154"},"PeriodicalIF":3.1,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140344042","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
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信