Identification of Crack Tip Positions Based on the Scaled Boundary Finite Element Method and the Grey Wolf Optimization Algorithm Article Swipe

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Bo Yu , SUN Wenjian ·

YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.21656/1000-0887.410381

Based on the scaled boundary finite element method (SBFEM) and the grey wolf optimization algorithm (GWO), an identification method for crack tips was proposed. Firstly, the special advantages of the SBFEM were used to solve the fracture mechanics problem, the displacements of measurement points required in the inversion process were quickly and accurately calculated, and the correctness of the solution to the forward problem was verified in advance. Then, the objective function related to the crack tip position was established, and the identification of the crack tip position was converted to the optimization problem of solving the minimum value of the objective function. Finally, the GWO was used to optimize the objective function, that is, to search for the optimal position of the crack tip. The numerical example results show that, it is very effective to solve forward problems in the inversion process with the high precision and semi-analytical advantages of the SBFEM. The grey wolf optimization algorithm has good global convergence property, and can search for the crack tip position more quickly and accurately compared with the classical particle swarm optimization. The grey wolf optimization algorithm has good noise resistance.

Related Topics

Particle Swarm Optimization

Finite Element Method

Structural Engineering

Mathematical Analysis

Finance

Economics

Economic Growth

Concepts

Particle swarm optimization Position (finance) Finite element method Correctness Algorithm Convergence (economics) Mathematical optimization Boundary (topology) Optimization problem Computer science Mathematics Engineering Structural engineering Mathematical analysis Finance Economics Economic growth

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Type: article
Language: en
Landing Page: https://doi.org/10.21656/1000-0887.410381
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Cited By: 1
Related Works: 10
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DOI: https://doi.org/10.21656/1000-0887.410381

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Title: Identification of Crack Tip Positions Based on the Scaled Boundary Finite Element Method and the Grey Wolf Optimization Algorithm

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Language: en

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Publication year: 2021

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Authors: Bo Yu, SUN Wenjian

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Landing page: https://doi.org/10.21656/1000-0887.410381

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Concepts: Particle swarm optimization, Position (finance), Finite element method, Correctness, Algorithm, Convergence (economics), Mathematical optimization, Boundary (topology), Optimization problem, Computer science, Mathematics, Engineering, Structural engineering, Mathematical analysis, Finance, Economics, Economic growth

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Cited by: 1

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