Pub Date : 2026-02-01Epub Date: 2025-12-19DOI: 10.1016/j.enganabound.2025.106604
Qinghua Li , Shenshen Chen , Xing Wei , Yan Gu
A novel hybrid approach for transient heat conduction analysis is proposed in this paper, which couples a fully smoothed finite element formulation with a spectral integration technique to enhance computational efficiency and accuracy. Starting from an initial triangular mesh, a smoothing domain is constructed for each edge by connecting its two vertices to the centroids of adjacent triangular elements. Unlike the conventional gradient smoothing technique, which is limited to domain integrals involving shape function derivatives, the quasi-weak form of the smoothed integral handles domain integrals of the shape functions themselves. This transformation converts all domain integrals in the heat conduction and heat capacity matrices into boundary integrals over the smoothing domains, eliminating the need for coordinate mapping and Jacobian matrix calculations. The semi-discrete heat conduction equation is solved using a spectral integration technique, which achieves arbitrary orders of accuracy while significantly improving computational efficiency and stability. Numerical examples demonstrate the capability and accuracy of the proposed method in solving transient heat conduction problems.
{"title":"A time spectral fully smoothed finite element method for transient heat conduction analysis","authors":"Qinghua Li , Shenshen Chen , Xing Wei , Yan Gu","doi":"10.1016/j.enganabound.2025.106604","DOIUrl":"10.1016/j.enganabound.2025.106604","url":null,"abstract":"<div><div>A novel hybrid approach for transient heat conduction analysis is proposed in this paper, which couples a fully smoothed finite element formulation with a spectral integration technique to enhance computational efficiency and accuracy. Starting from an initial triangular mesh, a smoothing domain is constructed for each edge by connecting its two vertices to the centroids of adjacent triangular elements. Unlike the conventional gradient smoothing technique, which is limited to domain integrals involving shape function derivatives, the quasi-weak form of the smoothed integral handles domain integrals of the shape functions themselves. This transformation converts all domain integrals in the heat conduction and heat capacity matrices into boundary integrals over the smoothing domains, eliminating the need for coordinate mapping and Jacobian matrix calculations. The semi-discrete heat conduction equation is solved using a spectral integration technique, which achieves arbitrary orders of accuracy while significantly improving computational efficiency and stability. Numerical examples demonstrate the capability and accuracy of the proposed method in solving transient heat conduction problems.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106604"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01Epub Date: 2025-12-19DOI: 10.1016/j.enganabound.2025.106589
Yida Mao , Jingxu Hao , Tao Zhang , Zhenyu Chen , Fulong Shi
This paper presents a novel numerical approach based on the inverse differential quadrature method (iDQM) for analyzing free vibrations of functionally graded material (FGM) cylindrical shells. Utilizing Flügge classical shell theory, the mathematical similarities between FGM and uniform material cylindrical shells are examined. Free oscillation characteristics are further investigated through a thickness-based homogenization procedure. The iDQM is applied to discretize the governing ordinary differential equations into an algebraic system, yielding a generalized eigenvalue problem for linear vibrations. A new restriction technique employing nullspace decomposition is additionally developed to address internal continuity and boundary conditions. The convergence and accuracy of the new method are validated against benchmark results from the literature. Finally, the segmented strategy for FGM cylindrical shells is formulated by varying material parameters and interpolation point numbers.
{"title":"The inverse differential quadrature method for free vibration analysis of segmented functionally graded cylindrical shells","authors":"Yida Mao , Jingxu Hao , Tao Zhang , Zhenyu Chen , Fulong Shi","doi":"10.1016/j.enganabound.2025.106589","DOIUrl":"10.1016/j.enganabound.2025.106589","url":null,"abstract":"<div><div>This paper presents a novel numerical approach based on the inverse differential quadrature method (iDQM) for analyzing free vibrations of functionally graded material (FGM) cylindrical shells. Utilizing Flügge classical shell theory, the mathematical similarities between FGM and uniform material cylindrical shells are examined. Free oscillation characteristics are further investigated through a thickness-based homogenization procedure. The iDQM is applied to discretize the governing ordinary differential equations into an algebraic system, yielding a generalized eigenvalue problem for linear vibrations. A new restriction technique employing nullspace decomposition is additionally developed to address internal continuity and boundary conditions. The convergence and accuracy of the new method are validated against benchmark results from the literature. Finally, the segmented strategy for FGM cylindrical shells is formulated by varying material parameters and interpolation point numbers.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106589"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01Epub Date: 2025-12-19DOI: 10.1016/j.enganabound.2025.106610
Farui Shi , Minghui Li , Nicholas Fantuzzi , Bozhi Deng , Delei Shang , Jun Lu , Heping Xie
The microstructural characteristics (e.g., joints and interfaces) and their scale effects can be crucial determinants of mechanical behavior in microstructured composites such as rocks, advanced materials, and construction structures. In recent years, the physics-informed neural network (PINN) has undergone rapid development for solving problems in computational solid mechanics. However, the application of PINN to modeling multi-scale mechanical behavior in microstructured composites remains largely unexplored. One reason is probably that the existence of microstructure in materials is inherently ignored in the classical Cauchy continuum that has been extensively adopted as the foundational continuum theory in previous PINN studies for computational solid mechanics. In the current work, physical laws and equations of a non-local model, i.e., Cosserat (or micropolar) continuum, are employed to design the loss function of a fully connected artificial neural network, establishing a PINN architecture capable of capturing mechanical behavior in three hexagon-structured composites (termed regular, hourglass, and skew) with distinct microstructural length scales. The results show that the PINN method can successfully model the mechanical behavior of the microstructured composites. A quantitative comparison with finite element method (FEM) solutions reveals excellent agreement, with relative errors in the predicted displacement fields maintained within the range of , thereby validating the accuracy and reliability of the PINN for mechanical analysis. Further, the results also demonstrate the capability of the PINN for simulating the multiscale mechanical behavior of microstructured composites by considering the Cosserat continuum. As the microstructure’s scale increases, the Cosserat mechanical responses of composites show varying characteristics and more significant deviation from the results of the Cauchy continuum. This study demonstrates a potential application of PINN in the context of computational multiscale mechanics by the Cosserat continuum, providing an essential framework for accurately capturing the realistic mechanical behavior of microstructured materials.
{"title":"Physics-informed neural network for multiscale mechanical behavior of microstructured composite materials as Cosserat continuum","authors":"Farui Shi , Minghui Li , Nicholas Fantuzzi , Bozhi Deng , Delei Shang , Jun Lu , Heping Xie","doi":"10.1016/j.enganabound.2025.106610","DOIUrl":"10.1016/j.enganabound.2025.106610","url":null,"abstract":"<div><div>The microstructural characteristics (e.g., joints and interfaces) and their scale effects can be crucial determinants of mechanical behavior in microstructured composites such as rocks, advanced materials, and construction structures. In recent years, the physics-informed neural network (PINN) has undergone rapid development for solving problems in computational solid mechanics. However, the application of PINN to modeling multi-scale mechanical behavior in microstructured composites remains largely unexplored. One reason is probably that the existence of microstructure in materials is inherently ignored in the classical Cauchy continuum that has been extensively adopted as the foundational continuum theory in previous PINN studies for computational solid mechanics. In the current work, physical laws and equations of a non-local model, i.e., Cosserat (or micropolar) continuum, are employed to design the loss function of a fully connected artificial neural network, establishing a PINN architecture capable of capturing mechanical behavior in three hexagon-structured composites (termed regular, hourglass, and skew) with distinct microstructural length scales. The results show that the PINN method can successfully model the mechanical behavior of the microstructured composites. A quantitative comparison with finite element method (FEM) solutions reveals excellent agreement, with relative errors in the predicted displacement fields maintained within the range of <span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>4</mn></mrow></msup><mo>∼</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>8</mn></mrow></msup></mrow></math></span>, thereby validating the accuracy and reliability of the PINN for mechanical analysis. Further, the results also demonstrate the capability of the PINN for simulating the multiscale mechanical behavior of microstructured composites by considering the Cosserat continuum. As the microstructure’s scale increases, the Cosserat mechanical responses of composites show varying characteristics and more significant deviation from the results of the Cauchy continuum. This study demonstrates a potential application of PINN in the context of computational multiscale mechanics by the Cosserat continuum, providing an essential framework for accurately capturing the realistic mechanical behavior of microstructured materials.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106610"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A reproducing kernel gradient smoothing meshfree method with least squares stabilization is developed for the nearly incompressible elasticity problems. This meshfree scheme is formulated in the context of the Hellinger-Reissner (HR) variational principle, where the displacement and stress fields are independently approximated and the incompressibility constraint is implicitly embedded in the formulation. It is noteworthy that the total stress field is directly approximated herein, as does not need the conventional tedious decomposition of the stress field into deviatoric stress and pressure components. The variational integration consistency is naturally fulfilled by the reproducing kernel gradient smoothing framework, which ensures the optimal convergence of meshfree solutions. Meanwhile, the least squares stabilization is introduced to suppress the pressure oscillation. A thorough theoretical analysis evinces that the proposed reproducing kernel gradient smoothing meshfree method with least squares stabilization displays the desirable stability through satisfying both Ladyzhenskaya-Babuška-Brezzi (LBB) and kernel-coercivity conditions, which is thus conveniently termed as the stabilized variationally consistent meshfree method. The accuracy and stability of the proposed method for nearly incompressible elasticity problems are systematically validated by numerical results.
{"title":"A reproducing kernel gradient smoothing meshfree method with least squares stabilization for nearly incompressible elasticity","authors":"Yingjie Chu , Junchao Wu , Penglin Chen , Canhui Zhang , Dongdong Wang","doi":"10.1016/j.enganabound.2025.106571","DOIUrl":"10.1016/j.enganabound.2025.106571","url":null,"abstract":"<div><div>A reproducing kernel gradient smoothing meshfree method with least squares stabilization is developed for the nearly incompressible elasticity problems. This meshfree scheme is formulated in the context of the Hellinger-Reissner (HR) variational principle, where the displacement and stress fields are independently approximated and the incompressibility constraint is implicitly embedded in the formulation. It is noteworthy that the total stress field is directly approximated herein, as does not need the conventional tedious decomposition of the stress field into deviatoric stress and pressure components. The variational integration consistency is naturally fulfilled by the reproducing kernel gradient smoothing framework, which ensures the optimal convergence of meshfree solutions. Meanwhile, the least squares stabilization is introduced to suppress the pressure oscillation. A thorough theoretical analysis evinces that the proposed reproducing kernel gradient smoothing meshfree method with least squares stabilization displays the desirable stability through satisfying both Ladyzhenskaya-Babuška-Brezzi (LBB) and kernel-coercivity conditions, which is thus conveniently termed as the stabilized variationally consistent meshfree method. The accuracy and stability of the proposed method for nearly incompressible elasticity problems are systematically validated by numerical results.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106571"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145685100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01Epub Date: 2025-12-27DOI: 10.1016/j.enganabound.2025.106616
Zhanjun Shao , Zefeng Liu , Xuan Peng , Yufei Chen , Delei Yang , Linxin Peng , Ping Xiang
In previous studies of train–track–bridge coupled systems (TTBCS), box girder bridges were often simplified as one-dimensional Euler beam models, which limited the investigation of the effects of material uncertainties in the top plate, webs, and bottom plate on dynamic responses. To address this limitation, this study introduces a multi-plate box girder bridge model and proposes a stochastic dynamic computation framework combining the meshless method and new point estimate method (NPEM). Two-dimensional random field modeling is applied to the material parameters of each plate, and Karhunen–Loève (KL) expansion is employed to transform these fields into random variables. Subsequently, NPEM is utilized to compute the statistical characteristics of the dynamic responses of the TTBCS. By comparing the effects of different random fields on the dynamic responses, the sensitivity of the responses to various material parameters is quantitatively analyzed. The results indicate that the vertical displacement of the bridge is most sensitive to the thickness uncertainty of the bottom plate, followed by the Young’s modulus. The lateral displacement is most sensitive to the thickness uncertainty of the traffic-side web, followed by the Young’s modulus. The density random field exerts the greatest influence on the bridge natural frequency. In the absence of seismic effects, uncertainties in the substructure have minimal influence on vehicle accelerations.
在以往的列车-轨道-桥梁耦合系统（TTBCS）研究中，箱梁桥通常被简化为一维欧拉梁模型，这限制了对顶板、腹板和底板材料不确定性对动力响应影响的研究。针对这一局限性，本文引入多板箱梁桥模型，提出了一种结合无网格法和新点估计法（NPEM）的随机动力计算框架。对每块板的材料参数进行二维随机场建模，利用karhunen - lo (KL)展开将这些场转化为随机变量。随后，利用NPEM计算TTBCS动态响应的统计特征。通过比较不同随机场对动态响应的影响，定量分析了响应对不同材料参数的敏感性。结果表明：桥梁的竖向位移对底板厚度的不确定性最敏感，其次是杨氏模量；横向位移对车辆侧腹板厚度的不确定性最敏感，其次是杨氏模量。密度随机场对桥梁固有频率的影响最大。在没有地震影响的情况下，子结构的不确定性对车辆加速度的影响最小。
{"title":"A stochastic dynamic analysis method for plate structures based on meshless method and new point estimate method: A case study of high-speed railway box girder bridges","authors":"Zhanjun Shao , Zefeng Liu , Xuan Peng , Yufei Chen , Delei Yang , Linxin Peng , Ping Xiang","doi":"10.1016/j.enganabound.2025.106616","DOIUrl":"10.1016/j.enganabound.2025.106616","url":null,"abstract":"<div><div>In previous studies of train–track–bridge coupled systems (TTBCS), box girder bridges were often simplified as one-dimensional Euler beam models, which limited the investigation of the effects of material uncertainties in the top plate, webs, and bottom plate on dynamic responses. To address this limitation, this study introduces a multi-plate box girder bridge model and proposes a stochastic dynamic computation framework combining the meshless method and new point estimate method (NPEM). Two-dimensional random field modeling is applied to the material parameters of each plate, and Karhunen–Loève (KL) expansion is employed to transform these fields into random variables. Subsequently, NPEM is utilized to compute the statistical characteristics of the dynamic responses of the TTBCS. By comparing the effects of different random fields on the dynamic responses, the sensitivity of the responses to various material parameters is quantitatively analyzed. The results indicate that the vertical displacement of the bridge is most sensitive to the thickness uncertainty of the bottom plate, followed by the Young’s modulus. The lateral displacement is most sensitive to the thickness uncertainty of the traffic-side web, followed by the Young’s modulus. The density random field exerts the greatest influence on the bridge natural frequency. In the absence of seismic effects, uncertainties in the substructure have minimal influence on vehicle accelerations.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106616"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01Epub Date: 2025-12-11DOI: 10.1016/j.enganabound.2025.106598
Yanyan Li, Zhihua Lei, Hong Zheng
Helical piles have significant application potential in offshore wind and photovoltaic infrastructure. However, current research primarily focuses on bearing mechanisms of single helical piles, while comprehensive studies on the bearing behavior and stability of helical-pile groups under soil disturbance remain limited. To address this research gap, a coupled Smoothed Particle Hydrodynamics (SPH)–Finite Element Method (FEM) model was developed to simulate the penetration and uplift processes of helical piles and to investigate the bearing characteristics of helical-pile groups with different configurations in sand subjected to soil disturbance. Comparison with conventional theoretical methods and the coupled Eulerian-Lagrangian model confirmed the accuracy of the new model. A parametric study was subsequently conducted, considering two pile-group configurations and three spacing ratios. The results indicate that: (1) installation resistance is governed by both the pile spacing ratio and the group configuration; (2) group effects become more pronounced as pile spacing decreases and the number of piles increases; (3) under smaller pile spacings and triangular configurations, the degree of soil disturbance is significantly intensified due to the interaction of stress bulbs between adjacent helical piles; and (4) the pile spacing ratio and group configuration critically influence the failure modes of pile groups.
{"title":"A coupled SPH–FEM model for evaluating bearing behavior of helical pile groups","authors":"Yanyan Li, Zhihua Lei, Hong Zheng","doi":"10.1016/j.enganabound.2025.106598","DOIUrl":"10.1016/j.enganabound.2025.106598","url":null,"abstract":"<div><div>Helical piles have significant application potential in offshore wind and photovoltaic infrastructure. However, current research primarily focuses on bearing mechanisms of single helical piles, while comprehensive studies on the bearing behavior and stability of helical-pile groups under soil disturbance remain limited. To address this research gap, a coupled Smoothed Particle Hydrodynamics (SPH)–Finite Element Method (FEM) model was developed to simulate the penetration and uplift processes of helical piles and to investigate the bearing characteristics of helical-pile groups with different configurations in sand subjected to soil disturbance. Comparison with conventional theoretical methods and the coupled Eulerian-Lagrangian model confirmed the accuracy of the new model. A parametric study was subsequently conducted, considering two pile-group configurations and three spacing ratios. The results indicate that: (1) installation resistance is governed by both the pile spacing ratio and the group configuration; (2) group effects become more pronounced as pile spacing decreases and the number of piles increases; (3) under smaller pile spacings and triangular configurations, the degree of soil disturbance is significantly intensified due to the interaction of stress bulbs between adjacent helical piles; and (4) the pile spacing ratio and group configuration critically influence the failure modes of pile groups.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106598"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01Epub Date: 2025-12-09DOI: 10.1016/j.enganabound.2025.106590
Tao Liu , Yifeng Li , Xiangying Guo , Yan Zheng
Against the research background of rocket fairings, this study investigates the vibration characteristics and nonlinear dynamic behavior of two-phase braided composite truncated conical shells under complex environments. We establish a dynamic model via FSDT and Hamilton's principle, studying the two-phase braided composite truncated conical shell's natural vibration. FEA comparison shows ≤2.95 % error. Higher fiber volume boosts frequency and stiffness. Subsequently, we analyze the occurrence of 1:1 internal resonance when the half apex angle is 60° On this basis, external excitation, aerodynamic forces, and damping effects are introduced to further establish a nonlinear dynamic model. The Galerkin method is used to discretize the nonlinear governing equations, and the pseudo-arclength continuation method is used to analyze the effects of parameter variations on the 1:1 internal resonance behavior. The results reveal that increasing the fiber volume fraction, braiding angle, and damping can effectively reduce the resonance peak. Finally, we examine the nonlinear dynamic behavior of the structure, with a focus on revealing the mechanisms by which external excitation and damping affect the dynamic stability of the system. The results provide important theoretical support for the vibration control and structural reliability design of braided composite thin-walled components.
{"title":"Nonlinear resonant responses and chaotic dynamics of braided composite truncated conical shell","authors":"Tao Liu , Yifeng Li , Xiangying Guo , Yan Zheng","doi":"10.1016/j.enganabound.2025.106590","DOIUrl":"10.1016/j.enganabound.2025.106590","url":null,"abstract":"<div><div>Against the research background of rocket fairings, this study investigates the vibration characteristics and nonlinear dynamic behavior of two-phase braided composite truncated conical shells under complex environments. We establish a dynamic model via FSDT and Hamilton's principle, studying the two-phase braided composite truncated conical shell's natural vibration. FEA comparison shows ≤2.95 % error. Higher fiber volume boosts frequency and stiffness. Subsequently, we analyze the occurrence of 1:1 internal resonance when the half apex angle is 60° On this basis, external excitation, aerodynamic forces, and damping effects are introduced to further establish a nonlinear dynamic model. The Galerkin method is used to discretize the nonlinear governing equations, and the pseudo-arclength continuation method is used to analyze the effects of parameter variations on the 1:1 internal resonance behavior. The results reveal that increasing the fiber volume fraction, braiding angle, and damping can effectively reduce the resonance peak. Finally, we examine the nonlinear dynamic behavior of the structure, with a focus on revealing the mechanisms by which external excitation and damping affect the dynamic stability of the system. The results provide important theoretical support for the vibration control and structural reliability design of braided composite thin-walled components.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106590"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01Epub Date: 2025-12-13DOI: 10.1016/j.enganabound.2025.106599
Kai Chen , Haitao Guo , Xu Luo , Degao Zou , Shanlin Tian
Addressing the challenge of predicting deformation in concrete-faced rockfill dams (CFRDs) due to the nonlinear relationship between dam deformation and material parameters, this paper proposes a rapid deformation field prediction method integrating Proper Orthogonal Decomposition (POD) and Multi-Layer Perceptron (MLP). The Latin Hypercube Sampling (LHS) method is used to sample the parameter space of the Duncan-Chang E-B model. A finite element simulation dataset is created using the SBFEM-FEM coupled efficient analysis algorithm, assembling a deformation field snapshot matrix. The POD algorithm reduces the high-dimensional deformation field, extracting dominant modes and calculating corresponding modal coefficients. A regression model integrates material parameters and modal coefficients via MLP theory, enabling rapid prediction of the global displacement field with millisecond-level precision. The method is validated through cantilever beam bending, single-zone, and multi-zone dam body deformation analyses. The findings suggest that the proposed method can achieve high-precision reconstruction of the deformation field with fewer modes, offering advantages such as low prediction error, reduced computation time, strong generalization capability, and good engineering applicability. This method provides an efficient and reliable research tool for response analysis and prediction of geotechnical structures such as CFRDs, demonstrating promising application prospects and promotional value.
{"title":"A rapid prediction approach for the global deformation field of concrete-faced rockfill dams based on POD–MLP","authors":"Kai Chen , Haitao Guo , Xu Luo , Degao Zou , Shanlin Tian","doi":"10.1016/j.enganabound.2025.106599","DOIUrl":"10.1016/j.enganabound.2025.106599","url":null,"abstract":"<div><div>Addressing the challenge of predicting deformation in concrete-faced rockfill dams (CFRDs) due to the nonlinear relationship between dam deformation and material parameters, this paper proposes a rapid deformation field prediction method integrating Proper Orthogonal Decomposition (POD) and Multi-Layer Perceptron (MLP). The Latin Hypercube Sampling (LHS) method is used to sample the parameter space of the Duncan-Chang E-B model. A finite element simulation dataset is created using the SBFEM-FEM coupled efficient analysis algorithm, assembling a deformation field snapshot matrix. The POD algorithm reduces the high-dimensional deformation field, extracting dominant modes and calculating corresponding modal coefficients. A regression model integrates material parameters and modal coefficients via MLP theory, enabling rapid prediction of the global displacement field with millisecond-level precision. The method is validated through cantilever beam bending, single-zone, and multi-zone dam body deformation analyses. The findings suggest that the proposed method can achieve high-precision reconstruction of the deformation field with fewer modes, offering advantages such as low prediction error, reduced computation time, strong generalization capability, and good engineering applicability. This method provides an efficient and reliable research tool for response analysis and prediction of geotechnical structures such as CFRDs, demonstrating promising application prospects and promotional value.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106599"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01Epub Date: 2025-12-20DOI: 10.1016/j.enganabound.2025.106608
Yang Li , Detao Wan , Rongdong Wang , Zhonghua Wang , Dean Hu , Chao Jiang
Accurate and rapid prediction of thermal–hydraulic behavior and multi-physical field distribution is critical for the safety and efficiency of sodium-cooled fast reactors (SFR). This work presents a nonlinear Gaussian kernel-based reduced-order modeling (ROM) framework, which combines kernel eigen-decomposition with a deep neural network (DNN) to map varying boundary conditions to reduced-order coefficients, enabling reliable and efficient reconstruction of high-dimensional CFD fields while capturing nonlinear flow structures. The proposed framework effectively leverages the physical interpretability of kernel methods, overcoming limitations of purely black-box models such as autoencoders. The framework is applied to CFD snapshots of wire-wrapped fuel assemblies and printed circuit heat exchangers (PCHE) in SFR, demonstrating its capability to capture complex nonlinear flow and heat transfer phenomena. For the wire-wrapped fuel assembly case, 95 modes retain over 99.5% of the flow energy, with maximum normalized absolute error (NAE) below 0.3 for temperature and velocity fields. For the PCHE case, the ROM accurately reconstructs temperature, axial velocity, and pressure fields with NAE below 0.15 across 200 sampled operating conditions. The proposed framework enables efficient, high-fidelity predictions of nonlinear thermal-hydraulic fields, providing a practical tool for design optimization, uncertainty quantification, and real-time monitoring in SFR systems.
{"title":"Nonlinear Gaussian kernel-based ROM integrated with DNN for thermal-hydraulic prediction in sodium-cooled fast reactors","authors":"Yang Li , Detao Wan , Rongdong Wang , Zhonghua Wang , Dean Hu , Chao Jiang","doi":"10.1016/j.enganabound.2025.106608","DOIUrl":"10.1016/j.enganabound.2025.106608","url":null,"abstract":"<div><div>Accurate and rapid prediction of thermal–hydraulic behavior and multi-physical field distribution is critical for the safety and efficiency of sodium-cooled fast reactors (SFR). This work presents a nonlinear Gaussian kernel-based reduced-order modeling (ROM) framework, which combines kernel eigen-decomposition with a deep neural network (DNN) to map varying boundary conditions to reduced-order coefficients, enabling reliable and efficient reconstruction of high-dimensional CFD fields while capturing nonlinear flow structures. The proposed framework effectively leverages the physical interpretability of kernel methods, overcoming limitations of purely black-box models such as autoencoders. The framework is applied to CFD snapshots of wire-wrapped fuel assemblies and printed circuit heat exchangers (PCHE) in SFR, demonstrating its capability to capture complex nonlinear flow and heat transfer phenomena. For the wire-wrapped fuel assembly case, 95 modes retain over 99.5% of the flow energy, with maximum normalized absolute error (NAE) below 0.3 for temperature and velocity fields. For the PCHE case, the ROM accurately reconstructs temperature, axial velocity, and pressure fields with NAE below 0.15 across 200 sampled operating conditions. The proposed framework enables efficient, high-fidelity predictions of nonlinear thermal-hydraulic fields, providing a practical tool for design optimization, uncertainty quantification, and real-time monitoring in SFR systems.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106608"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01Epub Date: 2026-01-02DOI: 10.1016/j.enganabound.2025.106613
Wenjie Luo , Chaorong Li , Xudong Ling , Yilan Xue , L.O. Mubashiru
The CNN-based conditional encoder extracts prior knowledge for medical image segmentation to support the diffusion model. However, convolution operations are limited in capturing cross-channel and spatial dependencies, leading to the loss of crucial conditional information. Moreover, during the denoising UNet’s decoder, insufficient fusion of cross-layer features during up-sampling yields blurry feature maps and weak adaptability of subsequent convolutions. To tackle these challenges, we propose the Spatial and Channel Mixing Attention (SCMA) for the encoder and the Multi-Scale Feature Modulation Residual Module (MFMRM) for decoder feature fusion. MFMRM comprises the Multi-Scale Context Modulation Module (MCMM) and a Residual Dual Convolution Module (RDCM), adaptively integrating multi-resolution features to enhance representation and improve robustness to input variations. Furthermore, by introducing the Kolmogorov–Arnold Network (KAN) to optimize SCMA, we obtain KSCMA, which mitigates the curse of dimensionality and strengthens the representation of critical features. Experiments on ultrasound thyroid nodule, MRI brain tumor, and a self-constructed invasive breast cancer dataset demonstrate that our approach outperforms existing methods in segmentation accuracy. Our project is open source and available on GitHub at: https://github.com/lwj018/MSMedDiff-1.
{"title":"Enhancing cancer segmentation using conditional diffusion networks with KAN optimized attention and adaptive feature fusion","authors":"Wenjie Luo , Chaorong Li , Xudong Ling , Yilan Xue , L.O. Mubashiru","doi":"10.1016/j.enganabound.2025.106613","DOIUrl":"10.1016/j.enganabound.2025.106613","url":null,"abstract":"<div><div>The CNN-based conditional encoder extracts prior knowledge for medical image segmentation to support the diffusion model. However, convolution operations are limited in capturing cross-channel and spatial dependencies, leading to the loss of crucial conditional information. Moreover, during the denoising UNet’s decoder, insufficient fusion of cross-layer features during up-sampling yields blurry feature maps and weak adaptability of subsequent convolutions. To tackle these challenges, we propose the Spatial and Channel Mixing Attention (SCMA) for the encoder and the Multi-Scale Feature Modulation Residual Module (MFMRM) for decoder feature fusion. MFMRM comprises the Multi-Scale Context Modulation Module (MCMM) and a Residual Dual Convolution Module (RDCM), adaptively integrating multi-resolution features to enhance representation and improve robustness to input variations. Furthermore, by introducing the Kolmogorov–Arnold Network (KAN) to optimize SCMA, we obtain KSCMA, which mitigates the curse of dimensionality and strengthens the representation of critical features. Experiments on ultrasound thyroid nodule, MRI brain tumor, and a self-constructed invasive breast cancer dataset demonstrate that our approach outperforms existing methods in segmentation accuracy. Our project is open source and available on GitHub at: <span><span>https://github.com/lwj018/MSMedDiff-1</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"183 ","pages":"Article 106613"},"PeriodicalIF":4.1,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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