Jingjie He^1,*, Yuhui Jing^2,3, Xiaopeng Zhang²

CMES-Computer Modeling in Engineering & Sciences, Vol.147, No.1, 2026, DOI:10.32604/cmes.2026.080458 - 27 April 2026

Abstract In high-heat-flux environments, traditional cooling channels often fail to satisfy concurrent requirements for high heat transfer efficiency, temperature uniformity, and minimal pumping power. This study proposes an engineering-oriented topology optimization method for fluid-solid conjugate heat transfer to address the conflict between thermal performance and flow resistance under non-uniform heat sources. We introduce a pseudo-three-dimensional conjugate heat transfer model governed by Darcy’s law. This formulation retains three-dimensional effects, such as sidewall conduction and non-uniform surface heat flux. Moreover, the governing equations are reduced to two dimensions, thereby significantly enhancing computational efficiency. To resolve the discrepancy between More >

Zelong Liang^1,2, Tinh Quoc Bui^3,4, Zhichao Dong⁵, Weihua Li^1,*, Yingjun Wang^1,2,*

CMES-Computer Modeling in Engineering & Sciences, Vol.147, No.1, 2026, DOI:10.32604/cmes.2026.079830 - 27 April 2026

Abstract Topology optimization (TO) has become a core computational paradigm for structural design by defining optimality through physics-based objectives and constraints. However, practical engineering design often involves incomplete and imperfect physical modeling due to multi-physics coupling, manufacturing uncertainty, and computational constraints, leaving critical design factors insufficiently captured in purely physics-driven formulations. In parallel, data-driven and generative methods have enabled rapid topology generation and intent-aware design exploration, yet often weaken explicit optimality guarantees. This review argues that these seemingly divergent developments can be organized under a unified information–physics perspective. We term this emerging field Topology Optimization Informatics… More > Graphic Abstract

Yuting Tang^1,2,3,4, Yu Li^2,3,*, Xingyu Xiang^2,3,5, Jiaxiang Luo^1,2,3,4, Weien Zhou^2,3, Wen Yao^2,3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.147, No.1, 2026, DOI:10.32604/cmes.2026.079578 - 27 April 2026

Abstract Topology optimization is widely used in lightweight structural design to determine optimal material distributions. However, density-based results are represented in an implicit pixel-wise form with blurred boundaries and jagged contours, which limits their direct use in engineering design and manufacturing. This study proposes a two-stage post-processing framework to reconstruct topology optimization results into explicit parametric geometries while preserving structural performance. The framework first extracts and processes contour points from the optimized density field and reconstructs the geometry using Non-Uniform Rational B-Splines (NURBS). A subsequent shape optimization step based on the fixed-grid finite element method (FG-FEM) More >

Chinmai Bhat^1,2, Mayur Jiyalal Prajapati², Yulius Shan Romario³, Wojciech Macek⁴, Maziar Ramezani⁵, Cho-Pei Jiang^1,2,*

CMC-Computers, Materials & Continua, Vol.87, No.3, 2026, DOI:10.32604/cmc.2026.075197 - 09 April 2026

Abstract This study aims to develop a digital twin framework for fabricating automotive components through additive manufacturing (AM) technology. The framework comprises topology optimization (TO), finite element analysis (FEA), and fabrication analysis using Simufact Additive, which ensures the first-time-right fabrication of the component. Using TO-FEA, the component is designed with reduced overall weight without compromising the structural and functional performance. After the successful design of the component, it is analyzed for fabrication feasibility before undergoing the actual fabrication process. In the present study, an automotive flange fork is designed and fabricated through AM laser powder-bed fusion… More >

Boyi Cui^1,2, Kai Long^1,*, Ayesha Saeed¹, Nianzhi Guo¹, Guangxing Wu¹, Hui Zhang¹

CMES-Computer Modeling in Engineering & Sciences, Vol.146, No.3, 2026, DOI:10.32604/cmes.2026.078151 - 30 March 2026

Abstract Lattice-type ultra-tall wind turbine towers are popular in China for their modular benefits in fabrication, transportation, and installation. Nonetheless, their conceptual design remains predominantly dependent on engineering experience, and a generally applicable approach is still absent. This study proposes a self-similar modular topology optimization framework for lattice-type wind turbine support structures and develops software for its application. A minimum weighted compliance formulation with a prescribed volume fraction is developed utilizing the variable density approach, wherein modular constraints and their corresponding sensitivity expressions are explicitly included. The method is applied to a reference wind turbine model More >

Hongyu Xu^1,*, Xiaofeng Liu¹, Zhao Li¹, Shuai Zhang², Jintao Cui¹, Zongshuai Zhou¹, Longlong Chen¹, Mengen Zhang¹

CMC-Computers, Materials & Continua, Vol.87, No.2, 2026, DOI:10.32604/cmc.2026.075413 - 12 March 2026

Abstract In two-scale topology optimization, enhancing the connectivity between adjacent microstructures is crucial for achieving the collaborative optimization of micro-scale performance and macro-scale manufacturability. This paper proposes a two-scale concurrent topology optimization strategy aimed at improving the interface connection strength. This method employs a parametric approach to explicitly divide the micro-design domain into a “boundary connection region” and a “free design domain” at the initial stage of optimization. The boundary connection region is used to generate a connection layer that enhances the interface strength, while the free design domain is not constrained by this layer, thus… More >

Zhao Li¹, Hongyu Xu^1,*, Shuai Zhang², Jintao Cui¹, Xiaofeng Liu¹

CMC-Computers, Materials & Continua, Vol.86, No.1, pp. 1-18, 2026, DOI:10.32604/cmc.2025.068763 - 10 November 2025

Abstract The moving morphable component (MMC) topology optimization method, as a typical explicit topology optimization method, has been widely concerned. In the MMC topology optimization framework, the surrogate material model is mainly used for finite element analysis at present, and the effectiveness of the surrogate material model has been fully confirmed. However, there are some accuracy problems when dealing with boundary elements using the surrogate material model, which will affect the topology optimization results. In this study, a boundary element reconstruction (BER) model is proposed based on the surrogate material model under the MMC topology optimization… More >

Kangjie Li, Wenjing Ye^*

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.2, pp. 1665-1688, 2025, DOI:10.32604/cmes.2025.072447 - 26 November 2025

Abstract Recent progress in topology optimization (TO) has seen a growing integration of machine learning to accelerate computation. Among these, online learning stands out as a promising strategy for large-scale TO tasks, as it eliminates the need for pre-collected training datasets by updating surrogate models dynamically using intermediate optimization data. Stress-constrained lightweight design is an important class of problem with broad engineering relevance. Most existing frameworks use pixel or voxel-based representations and employ the finite element method (FEM) for analysis. The limited continuity across finite elements often compromises the accuracy of stress evaluation. To overcome this… More >

Fei Wu¹, Ziyang Zeng^1,2, Kunliang Xie¹, Yuqiang Liu¹, Jiang Ding^1,2,3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.2, pp. 1689-1710, 2025, DOI:10.32604/cmes.2025.071256 - 26 November 2025

Abstract The level set method (LSM) is renowned for producing smooth boundaries and clear geometric representations, facilitating integration with CAD environments. However, its inability to autonomously generate new holes during optimization makes the results highly dependent on the initial design. Although topological derivatives are often introduced to enable hole nucleation, their conversion into effective shape derivatives remains challenging, limiting topological evolution. To address this, a level set topology optimization method with autonomous hole formation (LSM-AHF) is proposed, integrating the material removal mechanism of the SIMP (Solid Isotropic Material with Penalization) method into the LSM framework. First,… More >

Tao Liu¹, Yang Liu², Jianbin Du^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.33, No.4, pp. 1-2, 2025, DOI:10.32604/icces.2025.011595

Abstract Currently, the application of the Boundary Penalty (BP) method in acoustic-structural coupled multiphysics optimization problems remains unexplored. Within the theoretical framework of BP developed previously, we address acoustic-structural coupled topology optimization problems by proposing a BP-based acoustic-structural coupled topology optimization model. A systematic solution strategy is developed to tackle the challenges encountered during model solving.
The proposed model employs a mixed u/p formulation for finite element analysis and the adjoint method for sensitivity analysis to minimize the acoustic pressure within a specified region (Fig.1 A). During optimization iterations, issues such as topological discretization and iteration oscillations… More >