Finite Elements in Analysis and Design最新文献

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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
A second-order penalty-based node-to-segment contact using the Virtual Element Method 使用虚拟元素法的基于二阶惩罚的节点到区段接触
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-05-17 DOI: 10.1016/j.finel.2024.104183
Tiago Fernandes Moherdaui , Alfredo Gay Neto , Peter Wriggers
{"title":"A second-order penalty-based node-to-segment contact using the Virtual Element Method","authors":"Tiago Fernandes Moherdaui ,&nbsp;Alfredo Gay Neto ,&nbsp;Peter Wriggers","doi":"10.1016/j.finel.2024.104183","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104183","url":null,"abstract":"<div><p>The Node-to-Segment (NTS) method enhanced computational contact mechanics by enabling contact analysis with large deformations with contact location as part of the unknowns. Despite having shortcomings, it is still to this day largely employed by the industry for contact analysis between continuous surfaces due to its low computational cost and scalability, instead of more precise, mathematically sound, but more computationally expensive methods. The method’s persistent relevance inspired attempts at improving its performance, usually for first-order elements. It is well known that NTS is not working well for higher orders due to its topological inconsistency. This work proposes a way of reducing the side-effects of the second order penalty-based Node-to-Segment method without adding complexity to contact detection or formulation. This can be achieved using virtual elements to describe the adjacent continuum, because of a filter effect introduced by the polynomial projection used in stress post-processing, which reduces the stress oscillations resulting from higher order penalty-based Node-to-Segment methods.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"237 ","pages":"Article 104183"},"PeriodicalIF":3.1,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141068338","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
Enhanced beams and plates models incorporating the steel-concrete interface behavior for large-scale reinforced concrete structural applications 将钢-混凝土界面行为纳入大型钢筋混凝土结构应用的增强型梁和板模型
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-05-13 DOI: 10.1016/j.finel.2024.104170
Maryam Trad , Ibrahim Bitar , Stéphane Grange , Benjamin Richard
{"title":"Enhanced beams and plates models incorporating the steel-concrete interface behavior for large-scale reinforced concrete structural applications","authors":"Maryam Trad ,&nbsp;Ibrahim Bitar ,&nbsp;Stéphane Grange ,&nbsp;Benjamin Richard","doi":"10.1016/j.finel.2024.104170","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104170","url":null,"abstract":"<div><p>Considering the interaction between concrete and steel reinforcement in numerical simulations of reinforced concrete structures is crucial for accurately capturing the concrete cracking process. This is particularly interesting when studying structures fulfilling functions that go beyond their simple mechanical resistance, such as waterproofing functions. While three-dimensional (3D) volumetric finite element modeling offers detailed insights into structural behavior, its computational intensity becomes prohibitive for large-scale structures. In such contexts, adopting beam and plate elements formulations proves computationally more efficient, due to their reduced number of degrees of freedom. This paper presents a kinematic enhancement technique designed to integrate steel-concrete interface behavior into beam and plate finite element formulations. The approach combines classical beam or plate elements representing concrete behavior, conventional beam or truss elements modeling steel reinforcement, and the incorporation of bond stresses at the interface. The paper provides comprehensive explanations of this enhancement technique along with a curated selection of numerical validation and application examples. These examples are supplemented by a comparison with experimental data, illustrating the efficiency of the proposed enhancement approach.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"237 ","pages":"Article 104170"},"PeriodicalIF":3.1,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000647/pdfft?md5=1b6845624ee41f387d5401fffdf052a4&pid=1-s2.0-S0168874X24000647-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140924587","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
Model-Based input energy control for reproducible AISI 316L laser deposited tracks 基于模型的输入能量控制,实现可重现的 AISI 316L 激光沉积轨道
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-05-11 DOI: 10.1016/j.finel.2024.104184
P. Álvarez , F. Cordovilla , M.A. Montealegre , M. Díaz , S. Chacón-Fernández , A. García-Beltrán , I. Angulo , J.L. Ocaña
{"title":"Model-Based input energy control for reproducible AISI 316L laser deposited tracks","authors":"P. Álvarez ,&nbsp;F. Cordovilla ,&nbsp;M.A. Montealegre ,&nbsp;M. Díaz ,&nbsp;S. Chacón-Fernández ,&nbsp;A. García-Beltrán ,&nbsp;I. Angulo ,&nbsp;J.L. Ocaña","doi":"10.1016/j.finel.2024.104184","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104184","url":null,"abstract":"<div><p>In the Directed Energy Deposition (DED) process, when the mass flow of metal particles is relatively high, the thickness of the layers increases, leading to a more productive process. The higher the mass flow is, the more difficult it becomes to get a stable melt pool. The accumulation of residual heat in the previously consolidated material constitutes a thermal input affecting the balance at the laser-material interaction zone. An accurate control of the temperature of the laser-material interaction zone is critical to maintain the dynamic viscosity of the liquid metal within the narrow margin in which it can be managed in a stable way. The present work introduces a thermal model in which domains with tunable properties are considered to reproduce the growing of the manufactured sample. Concurrently, a virtual closed-loop PID regulator has been implemented in order to calculate suitable values of laser power to compensate the heat accumulated in the material, offering the results from the model as input process parameters to be directly applied in the real process. The levels of laser power proposed by the model have been experimentally applied, leading to a stable process capable of carrying out in reality the desired component.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"236 ","pages":"Article 104184"},"PeriodicalIF":3.1,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000787/pdfft?md5=77be96bcf0dd29b1442729dcfc9012f0&pid=1-s2.0-S0168874X24000787-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140905631","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
Stress–displacement stabilized finite element analysis of thin structures using Solid-Shell elements, Part II: Finite strain hyperelasticity 使用固壳元素对薄结构进行应力-位移稳定有限元分析,第二部分:有限应变超弹性
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-05-09 DOI: 10.1016/j.finel.2024.104179
A. Aguirre , R. Codina , J. Baiges , I. Castañar
{"title":"Stress–displacement stabilized finite element analysis of thin structures using Solid-Shell elements, Part II: Finite strain hyperelasticity","authors":"A. Aguirre ,&nbsp;R. Codina ,&nbsp;J. Baiges ,&nbsp;I. Castañar","doi":"10.1016/j.finel.2024.104179","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104179","url":null,"abstract":"<div><p>This work is the second of a two-part research project focused on modeling solid-shell elements using a stabilized two-field finite element formulation. The first part introduces a stabilization technique based on the Variational Multiscale framework, which is proven to effectively address numerical locking in infinitesimal strain problems. The primary objective of the study was to characterize the inherent numerical locking effects of solid-shell elements in order to comprehensively understand their triggers and how stabilized mixed formulations can overcome them. In this current phase of the work, the concept is extended to finite strain solid dynamics involving hyperelastic materials. The aim of introducing this method is to obtain a robust stabilized mixed formulation that enhances the accuracy of the stress field. This improved formulation holds great potential for accurately approximating shell structures undergoing finite deformations. To this end, three techniques based in the Variational Multiscale stabilization framework are presented. These stabilized formulations allow circumventing the compatibility restriction of interpolating spaces of the unknowns inherent to mixed formulations, thus allowing any combination of them. The accuracy of the stress field is successfully enhanced while maintaining the accuracy of the displacement field. These improvements are also inherited to the solid-shell elements, providing locking-free approximation of thin structures.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"236 ","pages":"Article 104179"},"PeriodicalIF":3.1,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0168874X24000738/pdfft?md5=fbb823a033b48b5503539f071d05cbc4&pid=1-s2.0-S0168874X24000738-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140901284","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
CFD-population balance modelling for a flat sheet membrane-assisted antisolvent crystallization 平板膜辅助反溶剂结晶的 CFD 人口平衡建模
IF 3.1 3区 工程技术
Finite Elements in Analysis and Design Pub Date : 2024-05-08 DOI: 10.1016/j.finel.2024.104182
Saad Sulttan , Sohrab Rohani
{"title":"CFD-population balance modelling for a flat sheet membrane-assisted antisolvent crystallization","authors":"Saad Sulttan ,&nbsp;Sohrab Rohani","doi":"10.1016/j.finel.2024.104182","DOIUrl":"https://doi.org/10.1016/j.finel.2024.104182","url":null,"abstract":"<div><p>A comprehensive model has been developed to couple CFD with the population balance equation (PBE) for a flat sheet membrane-assisted antisolvent crystallization (FS-MAAC) process. The model accurately depicts the fluid dynamics, mass transfer, heat transfer and crystal size distribution (CSD) in the FS-MAAC crystallizer. The crystallization system considered was to produce α-form crystals of glycine. The model investigates the effects of different parameters, such as the velocities of the crystallizing and antisolvent solutions, antisolvent composition, temperature, and gravity. A good agreement was observed between the simulation results and experimental data for the α-form crystals of glycine. The simulation results show a steady-state antisolvent concentration profile in the liquid layer and varied only in the z-direction. Regardless of the variations in the velocity of either the antisolvent solution or the crystallizing solution, the CSD remained narrow, with mean crystal sizes ranging from 27 to 40 μm. Furthermore, increasing mass transfer through the antisolvent transmembrane flux leads to a narrower CSD. Slower antisolvent permeation rates at higher temperatures also promote crystal growth. Also, a narrow CSD is maintained regardless of the initial circulation position of the antisolvent solution. In conclusion, membrane antisolvent crystallization provides a reliable and consistent solution for obtaining crystals with desired CSD under optimal operating conditions.</p></div>","PeriodicalId":56133,"journal":{"name":"Finite Elements in Analysis and Design","volume":"236 ","pages":"Article 104182"},"PeriodicalIF":3.1,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140880496","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
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
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