Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (7): 2212-2222.doi: 10.13229/j.cnki.jdxbgxb.20231137

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Topology search method for structural 3D load paths based on distortion control of corrosion-damaged elements

Ping YUAN1(),Ya-fu CAI2,Li-zhao DAI2,Bi-qin DONG1,Lei WANG2()   

  1. 1.College of Civil and Transportation Engineering，Shenzhen University，Shenzhen 518060，China
    2.School of Civil Engineering，Changsha University of Science & Technology，Changsha 410114，China
  • Received:2023-10-22 Online:2025-07-01 Published:2025-09-12
  • Contact: Lei WANG E-mail:pingyuancsust@hotmail.com;leiwang@csust.edu.cn

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Abstract:

Corrosion-damage can easily cause local elements distortion， leading to numerical instability in the nonlinear topology optimization of structures. Existing suppression methods are mainly applied to elastic structures undergoing large deformation， but these methods suffer from the issues such as low efficiency and limited applicability， making them difficult to meet the requirements of 3D load paths search for corrosion-damaged structures. Therefore， a method for structural 3D load paths topology search based on distortion control of corrosion-damaged elements is proposed in this paper. Firstly， this method employs the concept of adaptive scaling of local stiffness to control the distortion of corrosion-damaged elements. Their local stiffness is scaled at different proportions based on a defined distortion degree of corrosion-damaged elements， while restraining element distortion and optimization errors. Secondly， a mathematical expression of nonlinear topology optimization of load paths search in corrosion-damaged structures is given. By taking into account the effects of material deterioration and bond degradation， a sensitivity calculation formula for corrosion-damaged elements is derived based on the adjoint method. Finally， numerical examples are conducted for verification， demonstrating that the proposed method in this paper can reasonably generate 3D load paths for corrosion-damaged structures， revealing the development law of load paths in corroded RC beams.

Key words: civil engineering, distortion control of corrosion-damaged elements, numerical instability, local stiffness adaptive scaling, load paths, topological search

CLC Number: 

  • TU375.1

Fig.1

Schematic diagram of local corrosion-damaged elements distortion"

Fig.2

Flow chart of load paths topology search for RC structures based on distortion control of local corrosion-damaged elements"

Fig.3

Schematic diagram of 3D RC beam optimization model"

Fig.4

Load paths of RC beam based on BESO method"

Fig.5

Topology optimization of RC beams under different load cases"

Fig.6

Load paths of corroded RC beams with different corrosion rates when F=800 N"

Fig.7

Load paths of corroded RC beams under different bond strength when F=800 N"

Fig.8

Load paths of corroded RC beam under different tensile strength when F=800 N"

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