International Journal of Mechanics and Materials in Design最新文献

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An efficient approximation algorithm for variance global sensitivity by Bayesian updating 贝叶斯更新方差全局灵敏度的高效近似算法
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-08-05 DOI: 10.1007/s10999-024-09715-7
Pu Chen, Zhenzhou Lu
{"title":"An efficient approximation algorithm for variance global sensitivity by Bayesian updating","authors":"Pu Chen,&nbsp;Zhenzhou Lu","doi":"10.1007/s10999-024-09715-7","DOIUrl":"10.1007/s10999-024-09715-7","url":null,"abstract":"<div><p>Variance global sensitivity (VGS) is defined by the mean square difference between output expectation and conditional one on input realization, and it can calculate the mean contribution of the input within its distribution region and guide the effective modulation of output variance. The Monte Carlo simulation (MCS) and quasi MCS are commonly used to estimate VGS, but they are time-consuming respectively due to double-loop framework and computation related to input dimension. Thus, a novel method is proposed to estimate VGS by elaborately using Bayesian updating. In the proposed algorithm, the input realizations are firstly treated as observations to construct a likelihood function. Then by Bayesian updating, all conditional output expectations on different input realizations, which are required in estimating VGS and most time-consuming, can be obtained as the posterior and estimated by the sample of simulating the output expectation. The proposed algorithm shares the sample of solving output expectation to obtain all conditional ones required for solving VGS, which makes the computational effort of estimating VGS equivalent to that of estimating output expectation, thus improving the efficiency of estimating VGS. Numerical and engineering examples fully substantiate the novelty and effectiveness of this algorithm.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 6","pages":"1291 - 1306"},"PeriodicalIF":2.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141947570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Theoretical prediction and experimental verification of thermomechanical deflection responses of geometrically nonlinear porous graded curved structure 几何非线性多孔梯度曲面结构的热力学变形响应的理论预测和实验验证
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-08-01 DOI: 10.1007/s10999-024-09725-5
Prashik Malhari Ramteke, Erukala Kalyan Kumar, Hukum Chand Dewangan, B. K. Patle, Subrata Kumar Panda
{"title":"Theoretical prediction and experimental verification of thermomechanical deflection responses of geometrically nonlinear porous graded curved structure","authors":"Prashik Malhari Ramteke,&nbsp;Erukala Kalyan Kumar,&nbsp;Hukum Chand Dewangan,&nbsp;B. K. Patle,&nbsp;Subrata Kumar Panda","doi":"10.1007/s10999-024-09725-5","DOIUrl":"10.1007/s10999-024-09725-5","url":null,"abstract":"<div><p>The nonlinear flexural/stress (static/dynamic) behaviour of functionally graded (FG) curved panels is analyzed in the current article, considering thermomechanical loading. The finite element (FE) based mathematical model is developed utilizing higher-order shear deformation theory (HSDT) and Green–Lagrange strain tensor (GLST) (to introduce the geometrical nonlinearity). Various types of material grading types (GDT), i.e., power-law (GDT-I), sigmoid (GDT-II) and exponential (GDT-III), and porosity variation patterns, i.e., even (PRT-I) and uneven (PRT-II) are delved in the present work. Also, temperature-dependent (TMPD) and temperature-independent (TMID) properties are engrained in estimating accurate static and dynamic responses. A direct iterative technique is adopted to compute the nonlinear structural deflection values under variable loading (static and dynamic). The numerical solution consistency of the established model has been verified via convergence. Furthermore, the correctness is proven using numerical and experimental validations. The natural-fibre (luffa) reinforced layer-wise graded panels have also been fabricated for experimental validation. The study includes the effect of temperature on the panel micro level and the variations between constituents (fibre and epoxy), which were checked through microstructural imaging. The analysis is extended further to study the influence of variable parameters on the flexural/stress data of the FGM panel.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 1","pages":"17 - 42"},"PeriodicalIF":2.7,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141862748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Voxel-based evolutionary topological optimization of connected structures for natural frequency optimization 基于体素的连通结构拓扑进化优化,实现固有频率优化
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-08-01 DOI: 10.1007/s10999-024-09722-8
Antonio Bacciaglia, Alessandro Ceruti, Alfredo Liverani
{"title":"Voxel-based evolutionary topological optimization of connected structures for natural frequency optimization","authors":"Antonio Bacciaglia,&nbsp;Alessandro Ceruti,&nbsp;Alfredo Liverani","doi":"10.1007/s10999-024-09722-8","DOIUrl":"10.1007/s10999-024-09722-8","url":null,"abstract":"<div><p>The topology optimization methodology is widely utilized in industrial engineering for designing lightweight and efficient components. In this framework, considering natural frequencies is crucial for adequately designing components and structures exposed to dynamic loads, as in aerospace or automotive applications. The scientific community has shown the efficiency of Bi-directional Evolutionary Structural Optimization (BESO), showcasing its ability to converge towards optimal solid-void or bi-material solutions for a wide range of frequency optimization problems in continuum structures. However, these methods show limits when the complexity of the domain volume increases; thus, they are well-suited for academic case studies but may fail when dealing with industrial applications that require more complex shapes. The connectivity of the structures resulting from the optimization also plays a fundamental role in choosing the best optimization approach, as some available commercial and open-source codes nowadays return unfeasible sparse structures. An improved voxel-based BESO algorithm has been developed in this work to cope with current limits in lightweight structure optimization. A significant case study has been developed to evaluate the performances of the new methodology and compare it with existing algorithms. In contrast to previous studies, the method we developed guarantees that the final structure respects constraints on the initial design volume and that the structure’s connection is preserved, thus enabling the manufacturing of the component with Additive Manufacturing technologies. The proposed approach can be complemented by smoothing algorithms to obtain a structure with externally appealing surfaces.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 6","pages":"1209 - 1228"},"PeriodicalIF":2.7,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-024-09722-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topology optimization of anisotropic multi-material structures considering negative Poisson’s ratio and high thermal conductivity based on IGA approach 基于 IGA 方法对考虑负泊松比和高导热性的各向异性多材料结构进行拓扑优化
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-07-30 DOI: 10.1007/s10999-024-09719-3
Jianping Zhang, Yi Qiu, Cheng Xu, Haiming Zhang, Jiangpeng Peng, Zhijian Zuo
{"title":"Topology optimization of anisotropic multi-material structures considering negative Poisson’s ratio and high thermal conductivity based on IGA approach","authors":"Jianping Zhang,&nbsp;Yi Qiu,&nbsp;Cheng Xu,&nbsp;Haiming Zhang,&nbsp;Jiangpeng Peng,&nbsp;Zhijian Zuo","doi":"10.1007/s10999-024-09719-3","DOIUrl":"10.1007/s10999-024-09719-3","url":null,"abstract":"<div><p>A multi-objective topological optimization model is proposed for anisotropic multi-material microstructures with negative Poisson’s ratio (NPR) and high thermal conductivity using isogeometric analysis (IGA) approach and alternating active phases algorithm. The effective elasticity matrix and heat conductivity matrix are calculated to represent the metamaterial and thermal conduction properties of the microstructures, respectively. The weighting factor is defined to adjust the proportion of NPR and heat transfer performance in the optimization objective. The validity of the proposed model is confirmed by structural performance analysis. Additionally, the IGA-based optimal topological structures, which have continuous boundary and low intermediate density without sensitivity filtering, have been produced using 3D printing. The effects of weighting factor, the number of material types, and anisotropic parameters on the optimal topological structures and properties are investigated. Either increasing the weighting factor or upgrading to more materials with superior properties can boost the thermal conductivity of the microstructure. Compared to isotropic multi-material microstructures, it is recommended that the range for Poisson’s ratio factor, heat conductivity factor be 1–1.5 and 1.25–1.5 to enhance the performance of microstructures, respectively.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 6","pages":"1229 - 1249"},"PeriodicalIF":2.7,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141862749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simultaneous effects of material and geometric nonlinearities on nonlinear vibration of nanobeam with surface energy effects 材料和几何非线性对具有表面能效应的纳米梁非线性振动的同时影响
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-07-27 DOI: 10.1007/s10999-024-09720-w
Reza Hassannejad, Babak Alizadeh-Hamidi
{"title":"Simultaneous effects of material and geometric nonlinearities on nonlinear vibration of nanobeam with surface energy effects","authors":"Reza Hassannejad,&nbsp;Babak Alizadeh-Hamidi","doi":"10.1007/s10999-024-09720-w","DOIUrl":"10.1007/s10999-024-09720-w","url":null,"abstract":"<div><p>This study explores the nonlinear free vibration of a nanobeam within the framework of nonlocal elasticity theory. It incorporates the materials nonlinear behavior, von Kármán strains, and surface elasticity theory. The stress–strain relationship in this study includes the quadratic material nonlinearity, which is typically ignored in previous research. The governing equations are derived through the application of Hamiltons principle. Using Galerkins method on the partial differential equations, the nonlinear differential equation governing the system is derived. The cubic nonlinearity in this equation arises from geometrical effects, while the quantic nonlinearity is attributed to material nonlinearity. The derived nonlinear differential equation is addressed utilizing the modified Homotopy Perturbation method. This approach yields the nonlinear time response and nonlinear frequency of the nanobeam, taking into account the effects of material nonlinearity and surface phenomena. The findings demonstrated the combined impact of surface effects and nonlinear material behavior on the nonlinear time response and frequency of the nanobeam. The natural frequency of the nanobeam was analyzed using the Elman neural network. Various inputs were fed into the network, and its output was compared with the exact solution for the natural frequency to assess accuracy. Additionally, the influence of material nonlinearity and surface effects on the phase trajectories of the nanobeam is examined. For validation purposes, the results are compared with those obtained using the fourth-order Runge–Kutta numerical method and previous studies.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 6","pages":"1147 - 1162"},"PeriodicalIF":2.7,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141775624","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effect of different strain rates on mechanical behavior and structure of Inconel 718 produced by powder bed fusion 不同应变率对粉末床熔融法生产的铬镍铁合金 718 的机械行为和结构的影响
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-07-27 DOI: 10.1007/s10999-024-09724-6
Stepan Kolomy, Marek Benc, Martin Harant, Josef Sedlak, Miroslav Jopek
{"title":"Effect of different strain rates on mechanical behavior and structure of Inconel 718 produced by powder bed fusion","authors":"Stepan Kolomy,&nbsp;Marek Benc,&nbsp;Martin Harant,&nbsp;Josef Sedlak,&nbsp;Miroslav Jopek","doi":"10.1007/s10999-024-09724-6","DOIUrl":"10.1007/s10999-024-09724-6","url":null,"abstract":"<div><p>The paper aims to examine the effect of different strain rates on a mechanical behavior and structure of additively manufactured Inconel 718. The material was prepared by the powder bed fusion method, which is commonly employed for high-performance components subjected to both high static and dynamic loading. To analyze the material’s behavior at various strain rates, a conventional hydraulic testing machine and a split hopkinson pressure bar apparatus were utilized. Additionally, the effect of these conditions on mechanical properties and microstructure was investigated. Results of compressive tests revealed a positive strain rate sensitivity of the material. Furthermore, the microhardness exhibited an increase by 33.9% in the horizontal direction after deformation caused by 2·10<sup>–2</sup> strain rate and 35.8% in the vertical direction, respectively. Additionally, the average grain size decreased by 43.3%, and the high-angle grain boundaries decreased by 5.4% in the horizontal direction after the excessive plastic deformation at the strain rate of 1.8·10<sup>3</sup> s<sup>-1</sup>. Scanning electron microscopy images showed that the as-built structure predominantly consisted of Laves phases in a long strip shape, while the structure after dynamic testing featured a granular shape. Transmission electron microscopy analysis of a sample tested at strain rate of 0.002 s<sup>-1</sup> revealed finely developed grains within the structure, many of which contained a dislocation substructure. This study’s novelty and robustness lie in its significant contribution to practical industrial energy applications, in which parts are exposed to dynamic load such as gas turbines.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"21 1","pages":"1 - 16"},"PeriodicalIF":2.7,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10999-024-09724-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141775623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identification method for design parameters of single-action tapered spool restrictors 单作用锥形阀芯限位器设计参数的确定方法
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-07-01 DOI: 10.1007/s10999-024-09718-4
Yuan Kang, Sheng-Yen Hu, Huang-Wen Chen, Kai-Man Au, Chao-Ping Huang, Hsin Ming Fu
{"title":"Identification method for design parameters of single-action tapered spool restrictors","authors":"Yuan Kang,&nbsp;Sheng-Yen Hu,&nbsp;Huang-Wen Chen,&nbsp;Kai-Man Au,&nbsp;Chao-Ping Huang,&nbsp;Hsin Ming Fu","doi":"10.1007/s10999-024-09718-4","DOIUrl":"10.1007/s10999-024-09718-4","url":null,"abstract":"<div><p>The performances of a hydrostatic bearing using the tapered-spool restrictors with appropriate design parameters is superior to other types of pressure compensation, that is the largest stiffness obtained under the lowest power consumption of supplying lubricant. However, the determination of design parameters is difficult, moreover, the simplification of the calculation formula will cause errors. Therefore, this study presents a method for identifying actual design parameters of the single‐action tapered-spool restrictor for actant values. Also, the influences of design parameters on the relationships between flow rate and pressure drop of this type restrictors are studied by both theoretical and experimental analyses. There are three design parameters that affect the characteristics of the tapered-spool restrictor, namely restriction parameter, compliance parameter, and restriction length ratio. Since both compliance parameter and restriction length ratio are functions of supply pressure, design parameters of a restrictor are determined simultaneously by solving a set of identification equations individually for the nominal value of each supply pressure. These identification equations are obtained by minimizing the sum of squared errors between the actual flow rate measured from experimental data and the flow rate calculated from the identification equations. Additionally, the advantages of the tapered-spool restrictors compared with other pressure compensation methods as well as the difficulties and errors in calculating design parameters are further elaborated in this study. Therefore, in order to design the appropriate parameters to match the hydrostatic bearing, the design parameters need to be identified when designing and calibrating such restrictors.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 6","pages":"1119 - 1145"},"PeriodicalIF":2.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Explicit determination for exact solutions of elastic rectangular beams 弹性矩形梁精确解的显式确定
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-06-05 DOI: 10.1007/s10999-024-09714-8
Changwei Tang, Guansuo Dui, Yuyao Fu
{"title":"Explicit determination for exact solutions of elastic rectangular beams","authors":"Changwei Tang,&nbsp;Guansuo Dui,&nbsp;Yuyao Fu","doi":"10.1007/s10999-024-09714-8","DOIUrl":"10.1007/s10999-024-09714-8","url":null,"abstract":"<div><p>In this paper, a method to directly determine explicit expressions of the exact general solutions for isotropic rectangular beam is provided. If the spanwise variation of the bending moment is smooth, the exact solution of the stress function can be expressed in the form of infinite series, whose each term is the product of the bending moment or its higher derivatives and polynomial involving only the longitudinal coordinates, while the polynomials are independent of the distributed loads. First, the explicit exact expression of the stress function is derived by solving recurrence formulae. Then, the convergence and accuracy of the formulae is estimated by retaining different terms. Finally, formulae of the stress and displacement fields are applied to some classical examples with the cases distributed loads in simple polynomials and sine form, and the results obtained are in perfect agreement with the existing exact theory.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 6","pages":"1269 - 1289"},"PeriodicalIF":2.7,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141383258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tolerance design of revolute clearance joints for aero-engine planar maneuvering mechanism by uncertain dynamic performance evaluation 通过不确定的动态性能评估进行航空发动机平面操纵机构旋转齿隙接头的公差设计
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-05-19 DOI: 10.1007/s10999-024-09717-5
Sheng Liu, Bin Gu, Haidong Yu, Chenxuan Hu
{"title":"Tolerance design of revolute clearance joints for aero-engine planar maneuvering mechanism by uncertain dynamic performance evaluation","authors":"Sheng Liu,&nbsp;Bin Gu,&nbsp;Haidong Yu,&nbsp;Chenxuan Hu","doi":"10.1007/s10999-024-09717-5","DOIUrl":"10.1007/s10999-024-09717-5","url":null,"abstract":"<div><p>The planar maneuvering mechanism’s motion accuracy and dynamic performance are critical for aero-engine power adjustment and vibration reduction. The uncertain clearance tolerances in the revolute joints lead to uncertainty in the joint contact characteristics and the mechanism’s dynamic performance. The combination of multiple joints’ clearance tolerances can be rationally designed and selected to balance the economy of joint manufacturing and the reliability of mechanism performance. In this paper, the uncertainty relationship between clearance tolerances of the joints and mechanism characteristics is investigated by using fuzzy sets and fuzzy algorithms. A new conformal contact model is established to accurately evaluate the contact forces of the revolute joint containing small clearance, which is demonstrated to have better performance when the joint clearance is small by comparing with two traditional models. The mechanism’s dynamic model is constructed, which introduces the contact forces and dissipation effect of multiple joints. Then, the fuzzy distribution and the fuzzy decomposition theory are applied to represent and grade clearance tolerance, respectively. The uncertain static contact characteristic of the joint is studied at different clearance tolerances by using the fuzzy transformation method, and the corresponding clearance tolerances can be designed and selected according to the specific required elastic contact force. Meanwhile, the uncertainty mapping relationship between the clearance tolerance of multiple joints and mechanism dynamic performance is also established, and the combination of multiple joints’ clearance tolerances can be rationally selected based on the evaluation results of uncertain dynamic performance. The proposed method provides a significant reference to realize the specified mechanism’s performance requirement by designing the joint clearance tolerance.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 6","pages":"1099 - 1117"},"PeriodicalIF":2.7,"publicationDate":"2024-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141062559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Adaptive quadtree edge-based smoothed finite element method for limit state analysis of structures 用于结构极限状态分析的基于边缘的自适应四叉树平滑有限元法
IF 2.7 3区 材料科学
International Journal of Mechanics and Materials in Design Pub Date : 2024-05-13 DOI: 10.1007/s10999-024-09716-6
Phuc L. H. Ho, Changkye Lee
{"title":"Adaptive quadtree edge-based smoothed finite element method for limit state analysis of structures","authors":"Phuc L. H. Ho,&nbsp;Changkye Lee","doi":"10.1007/s10999-024-09716-6","DOIUrl":"10.1007/s10999-024-09716-6","url":null,"abstract":"<div><p>This study presents an efficient numerical approach for pseudo-lower bound limit analysis of structures. The total stress field is decomposed into two components: an elastic component associated with the safety factor and a self-equilibrating residual component. Subsequently, equilibrium conditions within the optimization problem are satisfied in a weak manner. The application of the adaptive quadtree edge-based smoothed finite element method (ES-FEM), combined with the transformation into the second-order cone programming (SOCP) form, ensures the resulting optimization problem remains minimal in size. Moreover, employing a yield stress-based adaptive strategy in the proposed procedure either accurately provides limit loads with low computational effort or effectively predicts the collapse mechanism through the concentration of elements after mesh refinement progress. The investigation of a series of numerical tests confirms the effectiveness and reliability of the proposed method.</p></div>","PeriodicalId":593,"journal":{"name":"International Journal of Mechanics and Materials in Design","volume":"20 6","pages":"1191 - 1207"},"PeriodicalIF":2.7,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140935664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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