Finite Elements in Analysis and Design最新文献

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Impact resistance of hardened corner supported concrete plates 硬化角支撑混凝土板的抗冲击性
IF 3.5 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-07-15 DOI: 10.1016/j.finel.2024.104211
Mohammed A. Alaloula , Prodyot K. Basu
{"title":"Impact resistance of hardened corner supported concrete plates","authors":"Mohammed A. Alaloula ,&nbsp;Prodyot K. Basu","doi":"10.1016/j.finel.2024.104211","DOIUrl":"10.1016/j.finel.2024.104211","url":null,"abstract":"<div><p>The behavior of typical corner supported bare and bonded poly-film hardened concrete plates are investigated experimentally using an Instron impact testing machine and evaluated numerically using two well-known phenomenological models of concrete. Before use, the models are critically evaluated and necessary modifications are incorporated. After validation with experimental data the better of the two models was selected and a series of simulations on the impact resistance of bare as well as the ones with bonded poly-film reinforcement to back face only as well as to both faces of the plate are undertaken with increasing magnitudes of impact energy to study the performance under progressively severe impact energy to evaluate the relative effectiveness of different options of the hardening scheme. Based on this study, the effectiveness of the proposed bonded poly-film based hardening scheme is established.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"240 ","pages":"Article 104211"},"PeriodicalIF":3.5,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141623369","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
Shape optimisation of loaded curved beams using a new geometry-based parametrisation 利用基于几何的新参数优化加载曲线梁的形状
IF 3.5 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-07-14 DOI: 10.1016/j.finel.2024.104195
Jie Gong , Kazem Ghabraie , Matthias Weiss , Bernard Rolfe
{"title":"Shape optimisation of loaded curved beams using a new geometry-based parametrisation","authors":"Jie Gong ,&nbsp;Kazem Ghabraie ,&nbsp;Matthias Weiss ,&nbsp;Bernard Rolfe","doi":"10.1016/j.finel.2024.104195","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104195","url":null,"abstract":"<div><p>This work proposes an optimisation platform, consisting of a recently proposed parametrisation and a modified gradient-based optimiser to optimise curved beams. This parametrisation technique defines a curve by a series of alternative straight and circular arcs through the points of tangency. The design variables are the coordinates and radii of the curved (transitional) sections. The relationships between the design variables and the points of tangency are formulated analytically. This technique can be used to parametrise the neutral axis of a beam or its outer shape directly. The advantage of this parametrisation method is that the derivatives of most geometrical and mass constraints can be formulated analytically allowing effective use of gradient-based optimisers. Numerical results are used to demonstrate the performance of the proposed optimisation platform. It is shown that the algorithm can remove redundant curved sections or add necessary curved sections provided that enough design freedom is included in the initial design. The capabilities of the platform in dealing with geometrical constraints are demonstrated. By directly parametrising the outer curves, the proposed platform is capable of optimising beams with variable cross sections as well.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"239 ","pages":"Article 104195"},"PeriodicalIF":3.5,"publicationDate":"2024-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141606491","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
Model order reduction of nonlinear thermo-hydro-mechanical systems by means of elastic and plastic domain sub-structuring 通过弹性和塑性域子结构化减少非线性热-水-机械系统的模型阶次
IF 3.5 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-07-02 DOI: 10.1016/j.finel.2024.104205
Ygee Larion , Thierry J. Massart , Pedro Díez , Guangjing Chen , Suresh Seetharam , Sergio Zlotnik
{"title":"Model order reduction of nonlinear thermo-hydro-mechanical systems by means of elastic and plastic domain sub-structuring","authors":"Ygee Larion ,&nbsp;Thierry J. Massart ,&nbsp;Pedro Díez ,&nbsp;Guangjing Chen ,&nbsp;Suresh Seetharam ,&nbsp;Sergio Zlotnik","doi":"10.1016/j.finel.2024.104205","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104205","url":null,"abstract":"<div><p>A model order reduction approach combining reduced basis (RB) projection and sub-structuring by domain decomposition is developed to tackle nonlinear elasto-plasticity in parametrized coupled thermo-hydro-mechanical (THM) systems. The region-specific occurrence of plasticity in the THM process is exploited in domain decomposition to facilitate the simplified construction of localized reduced subspaces in order to perform projection on a multi-domain basis. Traditional RB projection is leveraged in the elastic zone while the computationally expensive nonlinear iterative procedure is confined in the zone where plasticity is assumed to be restricted. The applicability of the approach to parametric problems is investigated through inverse identification of material parameters involving a nonlinear THM model system for nuclear waste repository applications. The model reduction strategy is observed to significantly reduce the computational effort involved with up to 12 times faster simulation compared to finite element (FE)-driven inverse identification procedure.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"239 ","pages":"Article 104205"},"PeriodicalIF":3.5,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141543546","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 modular model-order reduction approach for the solution of parametrized strongly-coupled thermo-mechanical problems 解决参数化强耦合热机械问题的模块化模型阶次缩减法
IF 3.5 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-07-01 DOI: 10.1016/j.finel.2024.104207
Floriane Wurtzer, David Néron, Pierre-Alain Boucard
{"title":"A modular model-order reduction approach for the solution of parametrized strongly-coupled thermo-mechanical problems","authors":"Floriane Wurtzer,&nbsp;David Néron,&nbsp;Pierre-Alain Boucard","doi":"10.1016/j.finel.2024.104207","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104207","url":null,"abstract":"<div><p>This paper deals with the simulation of parametrized strongly-coupled multiphysics problems. The proposed method is based on previous works on multiphysics problems using the LATIN algorithm and the Proper Generalized Decomposition (PGD). Unlike conventional partitioning approaches, the LATIN-PGD solver applied to multiphysics problems builds the coupled solution by successively adding global corrections to each physics within an iterative procedure. The reduced-order bases for the different physics are built independently through a greedy algorithm, ensuring accuracy up to the desired level. This flexibility is used herein to efficiently handle parametrized problems, as it allows to enrich the bases independently along the variations of the parameters. The proposed approach is exemplified on several three-dimensional numerical examples in the case of thermo-mechanical coupling. We use a standard monolithic scheme to validate its accuracy. Our results highlight the adaptability of the proposed strategy to the coupling strength. Concerning the parametrized aspects, the method’s capability is illustrated through parametric studies with uncertain material parameters, resulting in significant performance gains over the monolithic scheme. Our observations suggest that the proposed computational strategy is effective and versatile when dealing with strongly-coupled multiphysics problems.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"239 ","pages":"Article 104207"},"PeriodicalIF":3.5,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X2400101X/pdfft?md5=2a5113d93294bb3953260532e0d4073a&pid=1-s2.0-S0168874X2400101X-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141486224","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
Thermal design for enhanced temperature uniformity on spark plasma sintering device 提高火花等离子烧结装置温度均匀性的热设计
IF 3.5 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-06-25 DOI: 10.1016/j.finel.2024.104208
Hyung Mo Bae , Namkyu Lee , Ho-Seong Sohn , Hyung Hee Cho
{"title":"Thermal design for enhanced temperature uniformity on spark plasma sintering device","authors":"Hyung Mo Bae ,&nbsp;Namkyu Lee ,&nbsp;Ho-Seong Sohn ,&nbsp;Hyung Hee Cho","doi":"10.1016/j.finel.2024.104208","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104208","url":null,"abstract":"<div><p>Spark plasma sintering (SPS) is a widely used technique for sintering thermoelectric devices. In this process, the heat generated by Joule heating is primarily transferred to the die surface through radiative heat transfer, causing temperature non-uniformity within the specimen. These discrepancies in temperature distribution cause localized changes in the properties of the thermoelectric device, which presents significant engineering challenges in managing heat transfer during the sintering process. This study proposes a thermal design approach to reduce the temperature gradient within the specimen in the existing SPS device. The idea of the auxiliary heating system was evaluated using numerical simulation validated with experimental comparison. Design variables, heating power (an operating parameter) and heater depth (a geometric parameter), were chosen to balance the amount of Joule heating to the heat produced by the auxiliary heating system. The optimization process with sensitivity analysis led to the selection of an auxiliary heating system capable of reducing the temperature gradient within 61.1 K/m. This achievement allows for the sintering of thermoelectric devices with enhanced thermoelectric performance.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"239 ","pages":"Article 104208"},"PeriodicalIF":3.5,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141486223","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
Extended finite elements for 3D–1D coupled problems via a PDE-constrained optimization approach 通过 PDE 受限优化方法为三维-一维耦合问题扩展有限元
IF 3.5 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-06-24 DOI: 10.1016/j.finel.2024.104203
Denise Grappein , Stefano Scialò , Fabio Vicini
{"title":"Extended finite elements for 3D–1D coupled problems via a PDE-constrained optimization approach","authors":"Denise Grappein ,&nbsp;Stefano Scialò ,&nbsp;Fabio Vicini","doi":"10.1016/j.finel.2024.104203","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104203","url":null,"abstract":"<div><p>In this work, we propose the application of the eXtended Finite Element Method (XFEM) in the context of the coupling between three-dimensional and one-dimensional elliptic problems. In particular, we consider the case in which the 3D–1D coupled problem arises from the geometrical model reduction of a fully three-dimensional problem, characterized by thin tubular inclusions embedded in a much wider domain. In the 3D–1D coupling framework, the use of non conforming meshes is widely adopted. However, since the inclusions typically behave as singular sinks or sources for the 3D problem, mesh adaptation near the embedded 1D domains may be necessary to enhance solution accuracy and recover optimal convergence rates. An alternative to mesh adaptation is represented by the XFEM, which we here propose to enhance the approximation capabilities of an optimization-based 3D–1D coupling approach. An effective quadrature strategy is devised to integrate the enrichment functions and numerical tests on single and multiple segments are proposed to demonstrate the effectiveness of the approach.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"239 ","pages":"Article 104203"},"PeriodicalIF":3.5,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000970/pdfft?md5=24c5f2fe234439455e3ac3ef9d6f30e3&pid=1-s2.0-S0168874X24000970-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141486297","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
Finite element procedure for thermomechanical and structural integrity analysis of beam intercepting devices subjected to free electron laser 对自由电子激光束拦截装置进行热机械和结构完整性分析的有限元程序
IF 3.5 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-06-22 DOI: 10.1016/j.finel.2024.104206
Amir Shojaei, Marc Campell, Alireza Zavar, Leinani Roylo, Josh Kirks
{"title":"Finite element procedure for thermomechanical and structural integrity analysis of beam intercepting devices subjected to free electron laser","authors":"Amir Shojaei,&nbsp;Marc Campell,&nbsp;Alireza Zavar,&nbsp;Leinani Roylo,&nbsp;Josh Kirks","doi":"10.1016/j.finel.2024.104206","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104206","url":null,"abstract":"<div><p>High-energy particles, including photons (x-ray, γ-ray, bremsstrahlung), electrons, and protons, possess the capability to penetrate materials and deposit energy within them. The degree of absorption depends on both the energy and type of particles, as well as the properties of the materials with which they interact. This energy deposition can manifest either at the material's surface or throughout its volume, potentially resulting in various failure modes.</p><p>The primary aim of this paper is to establish a structured analysis methodology for evaluating the structural integrity of beam-intercepting devices when subjected to high-energy particles. The paper also reviews some of the underlying physics, pertinent to the scope of the thermomechanical analysis, potential failure modes, and introduces verification and validation methodologies. Engineers and researchers can utilize the guidelines presented in this paper to effectively plan the development of beam intercepting devices, thereby ensuring their reliability and performance in the presence of high-energy particle exposure.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"238 ","pages":"Article 104206"},"PeriodicalIF":3.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141438199","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 five field formulation for flow simulations in porous media with fractures and barriers via an optimization based domain decomposition method 通过基于优化的域分解法模拟带有裂缝和障碍物的多孔介质中的流动的五场计算公式
IF 3.5 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-06-22 DOI: 10.1016/j.finel.2024.104204
Stefano Scialò
{"title":"A five field formulation for flow simulations in porous media with fractures and barriers via an optimization based domain decomposition method","authors":"Stefano Scialò","doi":"10.1016/j.finel.2024.104204","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104204","url":null,"abstract":"<div><p>The present work deals with the numerical resolution of coupled 3D–2D problems arising from the simulation of fluid flow in fractured porous media modeled via the Discrete Fracture and Matrix (DFM) model. According to the DFM model, fractures are represented as planar interfaces immersed in a 3D porous matrix and can behave as preferential flow paths, in the case of conductive fractures, or can actually be a barrier for the flow, when, instead, the permeability in the normal-to-fracture direction is small compared to the permeability of the matrix. Consequently, the pressure solution in a DFM can be discontinuous across a barrier, as a result of the geometrical dimensional reduction operated on the fracture. The present work is aimed at developing a numerical scheme suitable for the simulation of the flow in a DFM with fractures and barriers, using a mesh for the 3D matrix non conforming to the fractures and that is ready for domain decomposition. This is achieved starting from a PDE-constrained optimization method, currently available in literature only for conductive fractures in a DFM. First, a novel formulation of the optimization problem is defined to account for non permeable fractures. These are described by a filtration-like coupling at the interface with the surrounding porous matrix. Also the extended finite element method with discontinuous enrichment functions is used to reproduce the pressure solution in the matrix around a barrier. The method is presented here in its simplest form, for clarity of exposition, i.e. considering the case of a single fracture in a 3D domain, also providing a proof of the well posedness of the resulting discrete problem. Four validation examples are proposed to show the viability and the effectiveness of the method.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"238 ","pages":"Article 104204"},"PeriodicalIF":3.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000982/pdfft?md5=de89c0c6312a6ec62de2fffcd78e98ef&pid=1-s2.0-S0168874X24000982-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141444539","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
Understanding the dynamics of in-situ micro-rolling in directed energy deposition using thermo-mechanical finite-element analyses 利用热机械有限元分析了解定向能沉积过程中原位微轧的动力学特性
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-06-18 DOI: 10.1016/j.finel.2024.104194
Ravi Raj , Louis N.S. Chiu , Deepak Marla , Aijun Huang
{"title":"Understanding the dynamics of in-situ micro-rolling in directed energy deposition using thermo-mechanical finite-element analyses","authors":"Ravi Raj ,&nbsp;Louis N.S. Chiu ,&nbsp;Deepak Marla ,&nbsp;Aijun Huang","doi":"10.1016/j.finel.2024.104194","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104194","url":null,"abstract":"<div><p>Rolling in Directed Energy Deposition (DED) has shown promising improvements in build quality by providing compressive deformations. The rolling dynamics and associated boundary conditions are crucial for how these deformations impact the stress–strain profiles on the deposited part and substrate. This study investigates these impacts by developing a fully coupled dynamic-thermo-mechanical finite-element model in Abaqus for in-situ micro-rolling in DED. Single bead analyses have been done with a 2D heat flux moving ahead of the roller at a fixed offset. Two rolling boundary condition cases with varying friction at the roller-bead interface have been examined: (i) only translation defined with rotation calculated from roller-bead interaction and (ii) translation with a defined rotation corresponding to a no-slip condition. In the first case, analyses have shown that the surface stress–strain conditions and rolling load variation are susceptible to interfacial friction. With increasing friction, the surface conditions deteriorate and variations in rolling load increase. However, beyond the surface, the overall stress–strain profiles remain similar. The surface stress–strain profile and rolling load variation have been smoothened in the second case because of the defined rotation. Further, a comparison has been made between the results of dynamic-explicit analyses and static-implicit analyses to quantify the roller’s inertia effects. The stress–strain profiles predicted by both analyses have marginal differences but with 16 % over-prediction in rolling load by dynamic-explicit analyses. These results imply that the roller’s inertia marginally affects the deposited part’s stress–strain evolution but has a notable role in rolling load. Also, providing an external drive to the roller corresponding to the second case can effectively minimise the deteriorating effects of roller-bead interfacial friction.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"238 ","pages":"Article 104194"},"PeriodicalIF":3.1,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141423841","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
Model order reduction of an electro-quasistatic problem using CLN method 使用 CLN 方法减少电静力学问题的模型阶次
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-05-29 DOI: 10.1016/j.finel.2024.104185
Wei Chen , Thomas Henneron , Stéphane Clénet , Théo Delagnes , Jun Zou
{"title":"Model order reduction of an electro-quasistatic problem using CLN method","authors":"Wei Chen ,&nbsp;Thomas Henneron ,&nbsp;Stéphane Clénet ,&nbsp;Théo Delagnes ,&nbsp;Jun Zou","doi":"10.1016/j.finel.2024.104185","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104185","url":null,"abstract":"<div><p>The Cauer ladder network (CLN) method, as proposed by Kameari et al. (2018), has been extensively studied to construct a reduced model of magneto-quasistatic (MQS) Finite Element (FE) models. In this case, this method enables the construction of an equivalent electrical circuit based on resistances and inductances as well as a reduced basis where the solution of a reduced problem is sought. In this article, we propose to extend the applicability of the CLN method to the development of reduced models for FE electro-quasistatic (EQS) models. It appears that the derivation of the reduction of an EQS model is not similar to the one of an MQS model. After development, the process of reduction using CLN leads to consider two electrical circuits based on the cascade association of resistances and capacitances. Each circuit is associated with a reduced basis constructed by applying the self-adjoint Lanczos method. The reduced solution to the EQS problem is got by first solving the circuit equations to determine the voltages and the currents at the terminals of the resistances and capacitances. Then, the approximated solution of the FE EQS model is got by a linear combination of the vectors of the two reduced bases weighted by the currents (or the voltages) previously calculated. An error estimator is also derived, enabling to calculate the distance between the reduced solution and the FE solution without solving the FE model. The proposed approach has been applied on an industrial application, a resin-impregnated paper bushing, in order to evaluate the accuracy in function of the size of the reduced bases as well as the efficiency in terms of computation time.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"238 ","pages":"Article 104185"},"PeriodicalIF":3.1,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141244667","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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