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  • Open Access

    ARTICLE

    A Hybrid Parallel Strategy for Isogeometric Topology Optimization via CPU/GPU Heterogeneous Computing

    Zhaohui Xia1,3, Baichuan Gao3, Chen Yu2,*, Haotian Han3, Haobo Zhang3, Shuting Wang3

    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.2, pp. 1103-1137, 2024, DOI:10.32604/cmes.2023.029177

    Abstract This paper aims to solve large-scale and complex isogeometric topology optimization problems that consume significant computational resources. A novel isogeometric topology optimization method with a hybrid parallel strategy of CPU/GPU is proposed, while the hybrid parallel strategies for stiffness matrix assembly, equation solving, sensitivity analysis, and design variable update are discussed in detail. To ensure the high efficiency of CPU/GPU computing, a workload balancing strategy is presented for optimally distributing the workload between CPU and GPU. To illustrate the advantages of the proposed method, three benchmark examples are tested to verify the hybrid parallel strategy in this paper. The results… More > Graphic Abstract

    A Hybrid Parallel Strategy for Isogeometric Topology Optimization via CPU/GPU Heterogeneous Computing

  • Open Access

    ARTICLE

    Multi-Material Topology Optimization for Spatial-Varying Porous Structures

    Chengwan Zhang1, Kai Long1,*, Zhuo Chen1,2, Xiaoyu Yang1, Feiyu Lu1, Jinhua Zhang3, Zunyi Duan4

    CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.1, pp. 369-390, 2024, DOI:10.32604/cmes.2023.029876

    Abstract This paper aims to propose a topology optimization method on generating porous structures comprising multiple materials. The mathematical optimization formulation is established under the constraints of individual volume fraction of constituent phase or total mass, as well as the local volume fraction of all phases. The original optimization problem with numerous constraints is converted into a box-constrained optimization problem by incorporating all constraints to the augmented Lagrangian function, avoiding the parameter dependence in the conventional aggregation process. Furthermore, the local volume percentage can be precisely satisfied. The effects including the global mass bound, the influence radius and local volume percentage… More >

  • Open Access

    ARTICLE

    A HYBRID CELLULAR AUTOMATON METHOD FOR STRUCTURAL TOPOLOGY OPTIMIZATION WITH MECHANICAL AND HEAT CONSTRAINTS

    Xiaolei Denga,b,c,*,† , Jin Wangd , Jinyu Zhoua, Hongcheng Shena, Zefeng Shenga, Jianglin Zhanga, Xiaowen La, Changxiong Xiea

    Frontiers in Heat and Mass Transfer, Vol.12, pp. 1-6, 2019, DOI:10.5098/hmt.12.13

    Abstract A hybrid cellular automaton model combined with finite element method for structural topology optimization with mechanical and heat constraints is developed. The effect of thermal stress on structural optimization is taken into account. Higher order 8-node element and von Neumann strategy are employed for the finite element and the cellular element, respectively. The validating studies of standard testing structure for topological optimization are carried out. The structure evolution, stress evolution and thermal evolution of topology optimization with mechanical and heat constraints are investigated. The results show the developed hybrid method is more efficient for structural topology optimization. Meanwhile, the topology… More >

  • Open Access

    ARTICLE

    AN ITERTIVE DESIGN METHOD TO REDUCE THE OVERALL THERMAL RESISTANCE IN A CONJUGATE CONDUCTION-FREE CONVECTION CONFIGURATION

    Chadwick D. Sevart* , Theodore L. Bergman

    Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-18, 2019, DOI:10.5098/hmt.13.18

    Abstract A design approach is proposed and demonstrated to identify desirable two-dimensional solid geometries, cooled by natural convection, that offer superior thermal performance in terms of reduced overall (conduction-convection) thermal resistance. The approach utilizes (i) heat transfer modeling in conjunction with (ii) various novel shape evolution rules. Predictions demonstrate the evolution of the solid shape and associated reduction of the overall thermal resistance. Parametric simulations reveal the dependence of the predicted solid shape on the evolution rule employed, the thermal conductivity of the solid material, and the strength of advection within the fluid. More >

  • Open Access

    ARTICLE

    THERMAL TOPOLOGY OPTIMIZATION DESIGN OF SPINDLE STRUCTURE WITH A HYBRID CELLULAR AUTOMATON METHOD

    Xiaolei Denga,b,c,*, Jin Wangd , Hongcheng Shena, Jinyu Zhoua, Jianchen Wanga,c, Changxiong Xiea, Jianzhong Fub

    Frontiers in Heat and Mass Transfer, Vol.13, pp. 1-6, 2019, DOI:10.5098/hmt.13.13

    Abstract A hybrid cellular automaton model combined with a finite element method for thermal topology optimization of spindle structure is developed. The higher order 8-node element and von Neumann strategy are employed for the finite element and the cellular element, respectively. The local sensitivity filtering algorithm and the weight approach are applied. The four validating studies of two-dimensional structure for thermal topology optimization are carried out. The structure evolution and thermal distribution evolution of thermal topology optimization are investigated. The results show the developed hybrid method is more efficient for thermal topology optimization. Meanwhile, the thermal topology optimization for spindle structure… More >

  • Open Access

    ARTICLE

    EFFECTS OF PHYSICOCHEMICAL PARAMETERS ON THE OPTIMIZED TOPOLOGY OF CATALYST IN MICRO REACTORS

    Xun Liu, Li Chen* , Wen-Quan Tao

    Frontiers in Heat and Mass Transfer, Vol.14, pp. 1-9, 2020, DOI:10.5098/hmt.14.16

    Abstract Fluid flow, mass transport and catalytic reaction in micro-reactors with catalyst are studied. Optimized structures of the catalyst generating the maximum reaction rate are explored by numerically solving the reactive transport processes combined with topology optimization schemes in COMSOL 5.3a. Effects of several physicochemical parameters including pressure drop, reaction rate constant, permeability of the porous catalyst and radius of the reactor are investigated. Distributions of the optimized structures, velocity, pressure and concentration are discussed in detail. Results show that the four physicochemical parameters have significant effects on the optimized structures of the catalyst obtained, indicating that generally there does not… More >

  • Open Access

    REVIEW

    Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research

    Yingjun Wang1,*, Xinqing Li1, Kai Long2, Peng Wei3

    CMES-Computer Modeling in Engineering & Sciences, Vol.137, No.1, pp. 1-34, 2023, DOI:10.32604/cmes.2023.027603

    Abstract Topology optimization (TO), a numerical technique to find the optimal material layout with a given design domain, has attracted interest from researchers in the field of structural optimization in recent years. For beginners, opensource codes are undoubtedly the best alternative to learning TO, which can elaborate the implementation of a method in detail and easily engage more people to employ and extend the method. In this paper, we present a summary of various open-source codes and related literature on TO methods, including solid isotropic material with penalization (SIMP), evolutionary method, level set method (LSM), moving morphable components/voids (MMC/MMV) methods, multiscale… More > Graphic Abstract

    Open-Source Codes of Topology Optimization: A Summary for Beginners to Start Their Research

  • Open Access

    ARTICLE

    Reliability-Based Topology Optimization of Fail-Safe Structures Using Moving Morphable Bars

    Xuan Wang1,2, Yuankun Shi2, Van-Nam Hoang3, Zeng Meng2,*, Kai Long4,*, Yuesheng Wang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.3, pp. 3173-3195, 2023, DOI:10.32604/cmes.2023.025501

    Abstract This paper proposes an effective reliability design optimization method for fail-safe topology optimization (FSTO) considering uncertainty based on the moving morphable bars method to establish the ideal balance between cost and robustness, reliability and structural safety. To this end, a performance measure approach (PMA)-based double-loop optimization algorithm is developed to minimize the relative volume percentage while achieving the reliability criterion. To ensure the compliance value of the worst failure case can better approximate the quantified design requirement, a p-norm constraint approach with correction parameter is introduced. Finally, the significance of accounting for uncertainty in the fail-safe design is illustrated by… More > Graphic Abstract

    Reliability-Based Topology Optimization of Fail-Safe Structures Using Moving Morphable Bars

  • Open Access

    ARTICLE

    A Simple and Efficient Structural Topology Optimization Implementation Using Open-Source Software for All Steps of the Algorithm: Modeling, Sensitivity Analysis and Optimization

    Rafael Marin Ferro1,2,*, Renato Pavanello2

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.2, pp. 1371-1397, 2023, DOI:10.32604/cmes.2023.026043

    Abstract This work analyzes the implementation of a continuous method of structural topology optimization (STO) using open-source software for all stages of the topology optimization problem: modeling, sensitivity analysis and optimization. Its implementation involves three main components: numerical analysis using the Finite Element Method (FEM), sensitivity analysis using an Adjoint method and an optimization solver. In order to allow the automated numerical solution of Partial Differential Equations (PDEs) and perform a sensitivity analysis, FEniCS and Dolfin Adjoint software are used as tools, which are open-source code. For the optimization process, Ipopt (Interior Point OPTimizer) is used, which is a software package… More >

  • Open Access

    ARTICLE

    Topology Optimization of Strength-Safe Continuum Structures Considering Random Damage

    Jiazheng Du*, Xue Cong, Ying Zhang

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.2, pp. 1091-1120, 2023, DOI:10.32604/cmes.2023.025585

    Abstract Spacecraft in the aerospace field and military equipment in the military field are at risk of being impacted by external objects, which can cause local damage to the structure. The randomness of local damage is a new challenge for structural design, and it is essential to take random damage into account in the conceptual design phase for the purpose of improving structure’s resistance to external shocks. In this article, a random damaged structure is assumed to have damages of the same size and shape at random locations, and the random damage is considered as multiple damage conditions of the structure.… More > Graphic Abstract

    Topology Optimization of Strength-Safe Continuum Structures Considering Random Damage

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