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Dislocation-based finite element method for homogenized limit domain characterization of structured metamaterials 基于位错的有限元方法用于结构超材料的均质化极限域表征
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-20 DOI: 10.1108/ec-12-2023-0970
Renato Zona, Luca Esposito, Simone Palladino, Vincenzo Minutolo

Purpose

Heterogeneous and micro-structured materials have been the object of multiscale and homogenization techniques aimed at recognizing the elastic properties of the equivalent continuum. The proposed investigation deals with the mechanical characterization of the heterogeneous material structured metamaterials through analyzing the ultimate strength using the limit analysis of the Representative Volume Element (RVE). To get the desired material strength, a novel finite element formulation based on the derivation of self-equilibrated solutions through the finite elements devoted to calculating the lower bound theorem has been implemented together with the limit analysis in Melàn’s formulation.

Design/methodology/approach

The finite element formulation is based on discrete mapping of Volterra dislocations in the structure using isoparametric representation. Using standard finite element techniques, the linear operator V, which relates the self-equilibrated internal solicitation to displacement-like nodal parameters, has been built through finite element discretization of displacement and strain.

Findings

The proposed work presented an elastic homogenization of the mechanical properties of an elementary cell with a geometry known in the literature, the isotropic truss. The matrix of elastic constants was calculated by subjecting the RVE to numerical load tests, simulated with a commercial FEM calculation code. This step showed the dependence of the isotropy properties, verified with Zener theory, on the density of the RVE. The isotropy condition of the material is only achieved for certain section ratios between body-centered cubic (BCC) and face-centered cubic (FCC), neglecting flexural effects at the nodes. The density that satisfies Zener’s conditions represents the isotropic geomatics of the isotropic truss.

Originality/value

For the isotropic case, the VFEM procedure was used to evaluate the isotropy of the limit domain and was compared with the Mises–Schleicher limit domain. The evaluation of residual ductility and dissipation energy allowed a measurement parameter for the limit anisotropy to be defined. The novelty of the proposal consisted in the formulation of both the linearized and the nonlinear limit locus of the material; hence, it furnished the starting point for further limit analysis of the structures whose elementary volume has been described through the proposed approach.

目的异质和微结构材料一直是多尺度和均质化技术的研究对象,这些技术旨在识别等效连续体的弹性特性。拟议的研究通过使用代表性体积元素(RVE)的极限分析方法分析极限强度,对异质材料结构超材料进行力学表征。为了获得所需的材料强度,我们采用了一种新颖的有限元计算方法,该方法基于通过有限元推导自平衡解来计算下限定理,并结合 Melàn 计算方法中的极限分析。利用标准有限元技术,通过对位移和应变进行有限元离散化,建立了线性算子 V,该算子将自平衡内部激励与类似位移的节点参数联系起来。弹性常数矩阵是通过对 RVE 进行数值载荷试验计算得出的,并用商用有限元计算代码进行了模拟。这一步骤显示了各向同性特性与 RVE 密度的关系,并通过齐纳理论进行了验证。材料的各向同性条件只有在体心立方(BCC)和面心立方(FCC)之间达到一定的截面比时才能实现,同时忽略节点处的挠曲效应。满足齐纳条件的密度代表了各向同性桁架的各向同性静力学。通过对残余延展性和耗散能的评估,确定了极限各向异性的测量参数。该建议的新颖之处在于同时提出了材料的线性化和非线性极限位置;因此,它为进一步对结构进行极限分析提供了起点,而结构的基本体积已通过建议的方法进行了描述。
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引用次数: 0
A dual opposition learning-based multi-objective Aquila Optimizer for trading-off time-cost-quality-CO2 emissions of generalized construction projects 基于双反对学习的 Aquila 多目标优化器,用于权衡一般建筑项目的时间-成本-质量-二氧化碳排放量
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-19 DOI: 10.1108/ec-01-2024-0043
Mohammad Azim Eirgash, Vedat Toğan

Purpose

Most of the existing time-cost-quality-environmental impact trade-off (TCQET) analysis models have focused on solving a simple project representation without taking typical activity and project characteristics into account. This study aims to present a novel approach called the “hybrid opposition learning-based Aquila Optimizer” (HOLAO) for optimizing TCQET decisions in generalized construction projects.

Design/methodology/approach

In this paper, a HOLAO algorithm is designed, incorporating the quasi-opposition-based learning (QOBL) and quasi-reflection-based learning (QRBL) strategies in the initial population and generation jumping phases, respectively. The crowded distance rank (CDR) mechanism is utilized to rank the optimal Pareto-front solutions to assist decision-makers (DMs) in achieving a single compromise solution.

Findings

The efficacy of the proposed methodology is evaluated by examining TCQET problems, involving 69 and 290 activities, respectively. Results indicate that the HOLAO provides competitive solutions for TCQET problems in construction projects. It is observed that the algorithm surpasses multiple objective social group optimization (MOSGO), plain Aquila Optimization (AO), QRBL and QOBL algorithms in terms of both number of function evaluations (NFE) and hypervolume (HV) indicator.

Originality/value

This paper introduces a novel concept called hybrid opposition-based learning (HOL), which incorporates two opposition strategies: QOBL as an explorative opposition and QRBL as an exploitative opposition. Achieving an effective balance between exploration and exploitation is crucial for the success of any algorithm. To this end, QOBL and QRBL are developed to ensure a proper equilibrium between the exploration and exploitation phases of the basic AO algorithm. The third contribution is to provide TCQET resource utilizations (construction plans) to evaluate the impact of these resources on the construction project performance.

目的现有的时间-成本-质量-环境影响权衡(TCQET)分析模型大多侧重于解决简单的项目表征,而没有考虑典型的活动和项目特征。本文设计了一种 HOLAO 算法,在初始种群和跳跃生成阶段分别采用了基于准位置学习(QOBL)和基于准反思学习(QRBL)的策略。利用拥挤距离排序(CDR)机制对最优帕累托前沿解决方案进行排序,以帮助决策者(DMs)实现单一折中解决方案。研究结果通过研究分别涉及 69 个和 290 个活动的 TCQET 问题,对所提方法的有效性进行了评估。结果表明,HOLAO 为建筑项目中的 TCQET 问题提供了有竞争力的解决方案。据观察,该算法在函数求值次数(NFE)和超体积(HV)指标方面都超过了多目标社会群体优化算法(MOSGO)、普通阿奎拉优化算法(AO)、QRBL 算法和 QOBL 算法:作为探索性对立的 QOBL 和作为探索性对立的 QRBL。在探索和利用之间实现有效平衡对任何算法的成功都至关重要。为此,我们开发了 QOBL 和 QRBL,以确保基本 AO 算法的探索和利用阶段之间的适当平衡。第三个贡献是提供 TCQET 资源利用率(施工计划),以评估这些资源对施工项目绩效的影响。
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引用次数: 0
An efficient concrete plastic damage model for crack propagation in gravity dams during seismic action 地震作用下重力坝裂缝扩展的高效混凝土塑性破坏模型
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-18 DOI: 10.1108/ec-10-2023-0749
Trong Nghia-Nguyen, Le Thanh Cuong, Samir Khatir, Le Minh Hoang, Salisa Chaiyaput, Magd Abdel Wahab

Purpose

Concrete gravity dams are important structures for flood control and hydraulic power generation, but they can be vulnerable to seismic activity due to ground movements that trigger crack propagation.

Design/methodology/approach

To better understand the factors that affect the stability of concrete gravity dams against concrete fracture during earthquakes, a concrete plastic damage model has been utilized with two new expressions to simulate compressive and tensile damage variables.

Findings

The findings showed that the crack patterns were strongly influenced by the concrete’s strength. The simulation results led to the proposal of appropriate concrete properties aimed at minimizing damage. These findings, together with the proposed model, offer significant insights that can enhance the safety and stability of concrete gravity dam structures.

Originality/value

This study offers a comprehensive analysis of concrete behavior under varying grades and introduces simple and robust expressions for evaluating concrete parameters in plastic damage models. The versatility of these expressions enables accurate simulation of stress-strain curves for different grades, resulting in excellent agreement between model results and experimental findings. The simulation of the Koyna Dam case study demonstrates a similarity in crack patterns with previous simulations and field observations.

目的 混凝土重力坝是防洪和水力发电的重要结构,但在地震活动中很容易因地面运动而引发裂缝扩展。为了更好地了解影响混凝土重力坝在地震中防止混凝土断裂的稳定性的因素,我们利用混凝土塑性破坏模型和两个新的表达式来模拟压缩和拉伸破坏变量。模拟结果提出了适当的混凝土属性,旨在最大限度地减少损坏。这些研究结果以及所提出的模型为提高混凝土重力坝结构的安全性和稳定性提供了重要依据。这些表达式的多功能性使其能够准确模拟不同等级的应力-应变曲线,从而使模型结果与实验结果非常一致。Koyna 大坝案例研究的模拟结果表明,裂缝模式与之前的模拟结果和现场观测结果相似。
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引用次数: 0
A new thermo-optical system with a fractional Caputo operator for a rotating spherical semiconductor medium immersed in a magnetic field 带分数卡普托算子的新型热光学系统,适用于浸没在磁场中的旋转球形半导体介质
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-05 DOI: 10.1108/ec-01-2024-0007
Ahmed E. Abouelregal, Marin Marin, S.S. Saskar, Abdelaziz Foul

Purpose

Understanding the mechanical and thermal behavior of materials is the goal of the branch of study known as fractional thermoelasticity, which blends fractional calculus with thermoelasticity. It accounts for the fact that heat transfer and deformation are non-local processes that depend on long-term memory. The sphere is free of external stresses and rotates around one of its radial axes at a constant rate. The coupled system equations are solved using the Laplace transform. The outcomes showed that the viscoelastic deformation and thermal stresses increased with the value of the fractional order coefficients.

Design/methodology/approach

The results obtained are considered good because they indicate that the approach or model under examination shows robust performance and produces accurate or reliable results that are consistent with the corresponding literature.

Findings

This study introduces a proposed viscoelastic photoelastic heat transfer model based on the Moore-Gibson-Thompson framework, accompanied by the incorporation of a new fractional derivative operator. In deriving this model, the recently proposed Caputo proportional fractional derivative was considered. This work also sheds light on how thermoelastic materials transfer light energy and how plasmas interact with viscoelasticity. The derived model was used to consider the behavior of a solid semiconductor sphere immersed in a magnetic field and subjected to a sudden change in temperature.

Originality/value

This study introduces a proposed viscoelastic photoelastic heat transfer model based on the Moore-Gibson-Thompson framework, accompanied by the incorporation of a new fractional derivative operator. In deriving this model, the recently proposed Caputo proportional fractional derivative was considered. This work also sheds light on how thermoelastic materials transfer light energy and how plasmas interact with viscoelasticity. The derived model was used to consider the behavior of a solid semiconductor sphere immersed in a magnetic field and subjected to a sudden change in temperature.

目的 了解材料的机械和热行为是分数热弹性这一研究分支的目标。它考虑到了传热和变形是依赖于长期记忆的非局部过程这一事实。球体不受外部应力影响,并以恒定的速率围绕其一条径向轴旋转。耦合系统方程使用拉普拉斯变换求解。结果表明,粘弹性变形和热应力随分数阶系数值的增加而增加。设计/方法/途径所获得的结果被认为是良好的,因为它们表明所研究的方法或模型表现出稳健的性能,并产生与相应文献一致的准确或可靠的结果。在推导该模型时,考虑了最近提出的卡普托比例分数导数。这项工作还揭示了热弹性材料如何传递光能以及等离子体如何与粘弹性相互作用。本研究基于摩尔-吉布森-汤普森(Moore-Gibson-Thompson)框架提出了一个粘弹性光弹性传热模型,并加入了一个新的分数导数算子。在推导这一模型时,考虑了最近提出的卡普托比例分数导数。这项工作还揭示了热弹性材料如何传递光能以及等离子体如何与粘弹性相互作用。推导出的模型被用于考虑浸入磁场并受到温度骤变影响的固体半导体球体的行为。
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引用次数: 0
Optimizing high-temperature geothermal extraction through THM coupling: insights from SC-CO2 enhanced modeling 通过 THM 耦合优化高温地热提取:SC-CO2 增强建模的启示
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-03 DOI: 10.1108/ec-11-2023-0889
GuoLong Zhang

Purpose

This study investigates the coupling effects between temperature, permeability and stress fields during the development of geothermal reservoirs, comparing the impacts of inter-well pressure differentials, reservoir temperature and heat extraction fluid on geothermal extraction.

Design/methodology/approach

This study employs theoretical analysis and numerical simulation to explore the coupling mechanisms of temperature, permeability and stress fields in a geothermal reservoir using a thermal-hydrological-mechanical (THM) three-field coupling model.

Findings

The results reveal that the pressure differential between wells significantly impacts geothermal extraction capacity, with SC-CO2 achieving 1.83 times the capacity of water. Increasing the aperture of hydraulic and natural fractures effectively enhances geothermal production, with a notable enhancement for natural fractures.

Originality/value

The research provides a critical theoretical foundation for understanding THM coupling mechanisms in geothermal extraction, supporting the optimization of geothermal resource development and utilization.

目的 本研究探讨了地热储层开发过程中温度场、渗透率场和应力场之间的耦合效应,比较了井间压差、储层温度和采热液对地热开采的影响。本研究采用理论分析和数值模拟,利用热-水文-力学(THM)三场耦合模型,探讨地热储层中温度场、渗透率场和应力场的耦合机制。研究结果表明,井间压差对地热开采能力有显著影响,SC-CO2 的开采能力是水的 1.83 倍。增加水力裂缝和天然裂缝的孔径可有效提高地热产量,其中天然裂缝的提高尤为明显。
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引用次数: 0
Beyond conventional models: integer and fractional order analysis of nonlinear Michaelis-Menten kinetics in immobilised enzyme reactors 超越传统模型:固定酶反应器中非线性 Michaelis-Menten 动力学的整阶和分数阶分析
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-02 DOI: 10.1108/ec-03-2024-0238
R. Rajaraman
<h3>Purpose</h3><p>This study explores the immobilisation of enzymes within porous catalysts of various geometries, including spheres, cylinders and flat pellets. The objective is to understand the irreversible Michaelis-Menten kinetic process within immobilised enzymes through advanced mathematical modelling.</p><!--/ Abstract__block --><h3>Design/methodology/approach</h3><p>Mathematical models were developed based on reaction-diffusion equations incorporating nonlinear variables associated with Michaelis-Menten kinetics. This research introduces fractional derivatives to investigate enzyme reaction kinetics, addressing a significant gap in the existing literature. A novel approximation method, based on the independent polynomials of the complete bipartite graph, is employed to explore solutions for substrate concentration and effectiveness factor across a spectrum of parameter values. The analytical solutions generated through the bipartite polynomial approximation method (BPAM) are rigorously tested against established methods, including the Bernoulli wavelet method (BWM), Taylor series method (TSM), Adomian decomposition method (ADM) and fourth-order Runge-Kutta method (RKM).</p><!--/ Abstract__block --><h3>Findings</h3><p>The study identifies two main findings. Firstly, the behaviour of dimensionless substrate concentration with distance is analysed for planar, cylindrical and spherical catalysts using both integer and fractional order Michaelis-Menten modelling. Secondly, the research investigates the variability of the dimensionless effectiveness factor with the Thiele modulus.</p><!--/ Abstract__block --><h3>Research limitations/implications</h3><p>The study primarily focuses on mathematical modelling and theoretical analysis, with limited experimental validation. Future research should involve more extensive experimental verification to corroborate the findings. Additionally, the study assumes ideal conditions and uniform catalyst properties, which may not fully reflect real-world complexities. Incorporating factors such as mass transfer limitations, non-uniform catalyst structures and enzyme deactivation kinetics could enhance the model’s accuracy and broaden its applicability. Furthermore, extending the analysis to include multi-enzyme systems and complex reaction networks would provide a more comprehensive understanding of biocatalytic processes.</p><!--/ Abstract__block --><h3>Practical implications</h3><p>The validated bipartite polynomial approximation method presents a practical tool for optimizing enzyme reactor design and operation in industrial settings. By accurately predicting substrate concentration and effectiveness factor, this approach enables efficient utilization of immobilised enzymes within porous catalysts. Implementation of these findings can lead to enhanced process efficiency, reduced operating costs and improved product yields in various biocatalytic applications such as pharmaceuticals, food processing
目的本研究探讨了在各种几何形状(包括球体、圆柱体和扁平颗粒)的多孔催化剂中固定酶的问题。目的是通过先进的数学建模,了解固定化酶内的不可逆 Michaelis-Menten 动力学过程。设计/方法/途径根据反应-扩散方程,结合与 Michaelis-Menten 动力学相关的非线性变量,建立数学模型。这项研究引入了分数导数来研究酶反应动力学,解决了现有文献中的一个重要空白。研究采用了一种基于完整二叉图独立多项式的新型近似方法,来探索底物浓度和有效因子在各种参数值范围内的解。通过双方位多项式近似法 (BPAM) 生成的分析解决方案与伯努利小波法 (BWM)、泰勒级数法 (TSM)、阿多米分解法 (ADM) 和四阶 Runge-Kutta 法 (RKM) 等成熟方法进行了严格测试。首先,使用整数阶和分数阶 Michaelis-Menten 模型分析了平面、圆柱和球形催化剂的无量纲底物浓度随距离变化的行为。其次,研究还调查了无量纲有效因子随 Thiele 模量的变化情况。未来的研究应涉及更广泛的实验验证,以证实研究结果。此外,该研究假设了理想的条件和统一的催化剂特性,这可能无法完全反映现实世界的复杂性。将传质限制、非均匀催化剂结构和酶失活动力学等因素考虑在内,可以提高模型的准确性并扩大其适用范围。此外,将分析扩展到多酶系统和复杂的反应网络,将使人们对生物催化过程有更全面的了解。通过准确预测底物浓度和有效因子,该方法可有效利用多孔催化剂中的固定酶。在制药、食品加工和生物燃料生产等各种生物催化应用中,实施这些研究成果可提高工艺效率、降低运营成本和提高产品产量。此外,这项研究还促进了酶固定化技术的创新,为努力开发可持续的、经济上可行的生物工艺的工程师和研究人员提供了实用的见解。通过提高生物催化过程的效率,这项研究有助于减少工业废物、最大限度地降低能源消耗以及提高药品和生物基产品的可及性。此外,通过生物催化技术开发生态友好型生产实践符合全球为实现可持续发展和减缓气候变化所做的努力。这些技术的广泛采用可以促进社会提高环保意识,同时刺激生物技术和相关产业的经济增长和创新。通过与已有的求解技术进行比较,对该方法进行了全面验证,确保了其可靠性和准确性。研究结果有望推动生物催化剂领域的发展,并为设计高效的酶反应器提供有价值的见解。
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引用次数: 0
Adaptive immune fuzzy quasi-sliding mode control for leader–follower formation of wheeled mobile robots under uncertainties and disturbances with obstacle avoidance 不确定性和干扰条件下轮式移动机器人领队-跟队编队的自适应免疫模糊准滑模控制与避障
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-27 DOI: 10.1108/ec-09-2023-0577
Willy John Nakamura Goto, Douglas Wildgrube Bertol, Nardênio Almeida Martins

Purpose

This paper aims to propose a robust kinematic controller based on sliding mode theory designed to solve the trajectory tracking problem and also the formation control using the leader–follower strategy for nonholonomic differential-drive wheeled mobile robots with a PD dynamic controller.

Design/methodology/approach

To deal with classical sliding mode control shortcomings, such as the chattering and the requirement of a priori knowledge of the limits of the effects of disturbances, an immune regulation mechanism-inspired approach is proposed to adjust the control effort magnitude adaptively. A simple fuzzy boundary layer method and an adaptation law for the immune portion gain online adjustment are also considered. An obstacle avoidance reactive strategy is proposed for the leader robot, given the importance of the leader in the formation control structure.

Findings

To verify the adaptability of the controller, obstacles are distributed along the reference trajectory, and the simulation and experimental results show the effectiveness of the proposed controller, which was capable of generating control signals avoiding chattering, compensating for disturbances and avoiding the obstacles.

Originality/value

The proposed design stands out for the ability to adapt in a case involving obstacle avoidance, trajectory tracking and leader–follower formation control by nonholonomic robots under the incidence of uncertainties and disturbances and also considering that the immune-based control provided chattering mitigation by adjusting the magnitude of the control effort, with adaptability improved by a simple integral-type adaptive law derived by Lyapunov stability analysis.

目的 本文旨在提出一种基于滑动模态理论的鲁棒运动控制器,旨在解决轨迹跟踪问题,以及使用领跑者-追随者策略对带有 PD 动态控制器的非全局差动驱动轮式移动机器人进行编队控制。为了解决经典滑动模态控制的缺点,如颤振和对干扰影响限制的先验知识的要求,本文提出了一种受免疫调节机制启发的方法,以自适应性地调整控制力度大小。此外,还考虑了一种简单的模糊边界层方法和免疫部分增益在线调整的适应法则。为了验证控制器的适应性,沿着参考轨迹分布了障碍物,仿真和实验结果表明了所提控制器的有效性,它能够产生避免颤振的控制信号,补偿干扰并避开障碍物。独创性/价值所提出的设计在非全局机器人避障、轨迹跟踪和领跑者-追随者编队控制等情况下,在不确定性和干扰的影响下,具有突出的适应能力,同时考虑到基于免疫的控制通过调整控制力度的大小来缓解颤振,通过李亚普诺夫稳定性分析得出的简单积分型自适应定律提高了适应能力。
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引用次数: 0
An efficient finite element computation using subparametric transformation up to cubic-order for curved triangular elements 针对曲面三角形元素,使用高达立方阶的子参数变换进行高效有限元计算
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-27 DOI: 10.1108/ec-01-2024-0032
J. Sasikala, G. Shylaja, Naidu V. Kesavulu, B. Venkatesh, S.M. Mallikarjunaiah

Purpose

A finite element computational methodology on a curved boundary using an efficient subparametric point transformation is presented. The proposed collocation method uses one-side curved and two-side straight triangular elements to derive exact subparametric shape functions.

Design/methodology/approach

Our proposed method builds upon the domain discretization into linear, quadratic and cubic-order elements using subparametric spaces and such a discretization greatly reduces the computational complexity. A unique subparametric transformation for each triangle is derived from the unique parabolic arcs via a one-of-a-kind relationship between the nodal points.

Findings

The novel transformation derived in this paper is shown to increase the accuracy of the finite element approximation of the boundary value problem (BVP). Our overall strategy is shown to perform well for the BVP considered in this work. The accuracy of the finite element approximate solution increases with higher-order parabolic arcs.

Originality/value

The proposed collocation method uses one-side curved and two-side straight triangular elements to derive exact subparametric shape functions.

目的介绍了一种在曲面边界上使用高效次参数点变换的有限元计算方法。设计/方法/途径我们提出的方法基于使用子参数空间将域离散为线性、二次方和立方阶元素,这种离散大大降低了计算复杂性。通过结点之间的独特关系,从独特的抛物线弧推导出每个三角形的独特子参数变换。研究结果本文推导出的新颖变换提高了边界值问题(BVP)的有限元近似精度。对于本文所考虑的边界值问题,我们的整体策略表现良好。有限元近似解的精确度随着抛物线弧阶的提高而提高。
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引用次数: 0
Solving the periodic coupled operator matrix equations via BCR iterative method and its application in periodic state feedback pole assignment 通过 BCR 迭代法求解周期耦合算子矩阵方程及其在周期性状态反馈极点分配中的应用
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-23 DOI: 10.1108/ec-03-2024-0177
Wenling Wang, Caiqin Song

Purpose

The paper aims to study the constraint solutions of the periodic coupled operator matrix equations by the biconjugate residual algorithm. The new algorithm can solve a lot of constraint solutions including Hamiltonian solutions and symmetric solutions, as special cases. At the end of this paper, the new algorithm is applied to the pole assignment problem.

Design/methodology/approach

When the studied periodic coupled operator matrix equations are consistent, it is proved that constraint solutions can converge to exact solutions. It is demonstrated that the solutions of the equations can be obtained by the new algorithm with any arbitrary initial matrices without rounding error in a finite number of iterative steps. In addition, the least norm-constrained solutions can also be calculated by selecting any initial matrices when the equations of the periodic coupled operator matrix are inconsistent.

Findings

Numerical examples show that compared with some existing algorithms, the proposed method has higher convergence efficiency because less data are used in each iteration and the data is sufficient to complete an update. It not only has the best convergence accuracy but also requires the least running time for iteration, which greatly saves memory space.

Originality/value

Compared with previous algorithms, the main feature of this algorithm is that it can synthesize these equations together to get a coupled operator matrix equation. Although the equation of this paper contains multiple submatrix equations, the algorithm in this paper only needs to use the information of one submatrix equation in the equation of this paper in each iteration so that different constraint solutions of different (coupled) matrix equations can be studied for this class of equations. However, previous articles need to iterate on a specific constraint solution of a matrix equation separately.

目的 本文旨在利用双共轭残差算法研究周期耦合算子矩阵方程的约束解。新算法可以求解很多约束解,包括哈密顿解和对称解等特例。本文最后将新算法应用于极点分配问题。设计/方法/途径当所研究的周期耦合算子矩阵方程具有一致性时,证明约束解可以收敛到精确解。实验证明,新算法可以在任意初始矩阵的情况下,通过有限的迭代步数获得方程的解,且不会产生舍入误差。此外,当周期耦合算子矩阵的方程不一致时,也可以通过选择任意初始矩阵计算出最小规范约束解。研究结果数值实例表明,与现有的一些算法相比,所提出的方法具有更高的收敛效率,因为每次迭代使用的数据更少,而且数据足以完成一次更新。它不仅收敛精度最好,而且迭代所需的运行时间最少,大大节省了内存空间。原创性/价值与之前的算法相比,本文算法的主要特点是可以将这些方程合成在一起,得到一个耦合算子矩阵方程。虽然本文方程包含多个子矩阵方程,但本文算法在每次迭代时只需使用本文方程中一个子矩阵方程的信息,因此可以针对该类方程研究不同(耦合)矩阵方程的不同约束解。然而,以往的文章需要分别迭代矩阵方程的特定约束解。
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引用次数: 0
Analysis of micro-defect-induced cracking in the IPyC layer of TRISO particle with the XFEM 利用 XFEM 分析 TRISO 粒子 IPyC 层的微缺陷诱导裂纹
IF 1.6 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-08-23 DOI: 10.1108/ec-11-2023-0873
Yunhao Li, Qian Wei, Luxian Li

Purpose

We use the extended finite element method (XFEM) to model the whole process of initiation and propagation of cracks in the inner dense pyrolytic carbon (IPyC) layer of tri-structural isotropic (TRISO) particle induced by the microdefect in an irradiation-induced thermomechanical coupling environment and study the effect of microdefect sizes on the propagation path.

Design/methodology/approach

The irradiation-induced thermal–mechanical coupling analysis is first conducted for the representative volume element (RVE) of the TRISO particle by using the conventional finite element method (CFEM) so that the stress distribution is obtained. The stress results are then restored for the enriched elements, and the simulation of crack initiation and propagation is eventually carried out by using the XFEM.

Findings

1. As a crack initiates in the IPyC layer, it will terminate at the free edge of the RVE TRISO particle in the end. 2. The size of the microdefect has a significant impact on the propagation path.

Originality/value

The ceramic dispersion microencapsulated (CDM) fuel is a good accident-resistant fuel whose safe operation is crucial to the safety and reliability of the whole nuclear reactor. It is of great scientific significance and practical value to study the irradiation-induced thermomechanical coupling stress distribution and cracking behavior in the IPyC layer of TRISO particles for the CDM fuel. Crack initiation and propagation analysis is challengeable for this complex multi-layer structure. This can help understand the failure mechanism of TRISO particles and evaluate the operation safety of the reactor.

目的我们采用扩展有限元法(XFEM)模拟了在辐照诱导的热机械耦合环境下,三结构各向同性(TRISO)颗粒内部致密热解碳(IPyC)层中由微缺陷诱导的裂纹萌发和扩展的全过程,并研究了微缺陷尺寸对扩展路径的影响。设计/方法/途径首先使用传统有限元方法(CFEM)对 TRISO 粒子的代表体积元素(RVE)进行辐照诱导热机械耦合分析,从而获得应力分布。然后还原丰富元素的应力结果,最后使用 XFEM 对裂纹的产生和扩展进行模拟。当裂纹在 IPyC 层中产生时,最终将终止于 RVE TRISO 粒子的自由边缘。2.原创性/价值陶瓷分散微囊(CDM)燃料是一种良好的抗事故燃料,其安全运行对整个核反应堆的安全性和可靠性至关重要。研究 CDM 燃料 TRISO 粒子 IPyC 层辐照诱导的热机械耦合应力分布和裂纹行为具有重要的科学意义和实用价值。对于这种复杂的多层结构,裂纹起始和扩展分析是一项挑战。这有助于了解 TRISO 颗粒的失效机理,并评估反应堆的运行安全性。
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引用次数: 0
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Engineering Computations
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