An Improved Graphics Processing Unit Acceleration Approach for Three-Dimensional Structural Topology Optimization Using the Element-Free Galerkin Method

Lu, Haishan; Gong, Shengrong; Zhang, Jianping; Xie, Guofeng; Yin, Shuohui

doi:10.32604/cmes.2021.016165

Computer Modeling in Engineering &Amp; Sciences

2021

DOI: 10.32604/cmes.2021.016165

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An Improved Graphics Processing Unit Acceleration Approach for Three-Dimensional Structural Topology Optimization Using the Element-Free Galerkin Method

Haishan Lu¹,

Shengrong Gong²,

Jianping Zhang³

et al.

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Cited by 2 publications

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“…In the eighth paper "An Improved Graphics Processing Unit Acceleration Approach for Three-Dimensional Structural Topology Optimization Using the Element-Free Galerkin Method", Lu et al [8] proposed an improved graphics processing unit (GPU) acceleration approach for threedimensional structural topology optimization using the element-free Galerkin (EFG) method. The proposed method can effectively eliminate the race condition under parallelization.…”

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confidence: 99%

Introduction to the Special Issue on Novel Methods of Topology Optimization and Engineering Applications

Long¹,

Huang²,

Duan³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

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Topology optimization, aiming to allocate the available material to maximize system performance while satisfying multiple constraints, has experienced tremendous progress. This special issue focuses on the new progress of topology optimization methods and their applications, especially theoretical development, numerical implementation and potential applications.A total of 12 manuscripts have been passed by a robust peer-reviewed process. All articles are authored by researchers from world-wide universities, and reflect state of the research progress.The first paper "Robust topology optimization of periodic multi-Material functionally graded structures under loading uncertainties" by Li et al. [1] provided a more robust and effective multimaterial design method for functionally graded structures considering periodic constraint with load uncertainties. The authors also presented a comparison of proposed model with deterministic method under different numbers of sub-regions.

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mentioning

confidence: 99%

Introduction to the Special Issue on Novel Methods of Topology Optimization and Engineering Applications

Long¹,

Huang²,

Duan³

et al. 2022

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

Topology Optimization for Elasticity Problem of Isotropic and Orthotropic Materials Based on the Complex Variable Element-Free Galerkin Method

Yang,

Cheng

2024

Int. J. Appl. Mechanics

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By using the improved complex variable moving least squares (ICVMLS) approximation to construct the shape function, thus the improved complex variable element-free Galerkin (ICVEFG) method is established for analyzing two types of topology optimization problems including isotropic and orthotropic materials in this study. Solid isotropic microstructure with penalization (SIMP) is utilized with relative density of nodes selected as the design variable, volume fraction set as the constraint and structural flexibility selected as the objective function, thus a mathematical model for topology optimization is developed, and the formula of sensitivity is derived. Four optimization examples of isotropic and orthotropic materials are given, and the feasibility of the ICVEFG method for solving topology optimization problem is demonstrated, in addition, the checkerboard phenomenon can be avoided; it is also shown that the ICVEFG method is more advantageous than the EFG method in solving orthotropic beam as well as isotropic problem with two fixed ends.

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An Improved Graphics Processing Unit Acceleration Approach for Three-Dimensional Structural Topology Optimization Using the Element-Free Galerkin Method

Cited by 2 publications

References 38 publications

Introduction to the Special Issue on Novel Methods of Topology Optimization and Engineering Applications

Introduction to the Special Issue on Novel Methods of Topology Optimization and Engineering Applications

Topology Optimization for Elasticity Problem of Isotropic and Orthotropic Materials Based on the Complex Variable Element-Free Galerkin Method

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