The inverse design of auxetics using the boundary element method and the constrained conjugate gradient method

Liu，Hua Yu1; Zheng，Yong Tong2; Gao，Xiao Wei1; Peng，Hai Feng1

2024-05-01

10.1016/j.enganabound.2024.01.029

Engineering Analysis with Boundary Elements   影响因子和分区

0955-7997

In this paper, an inverse design method for auxetic metamaterials is proposed. The conjugate gradient method is employed to minimize the errors of the required parameters of the designed shape. The interior point penalty method is used to convert constrained inverse problems into unconstrained ones. Using the Taylor expansion, the optimizing step size is derived as well. The boundary element method and the representative volume element are used to compute the effective stiffness matrix. Due to the advantages of the boundary element method, we only need the boundary elements and can easily re-mesh the optimized geometry during the inverse search. The validation test demonstrates that using the computed effective stiffness matrix yields nearly identical results to those obtained from direct finite element analysis. Then, using the proposed method, the authors successfully achieved all three design targets, which proved the effectiveness. Furthermore, the choice of penalty factor has been discussed in this paper as well.

Auxetics: Inverse design Boundary element method Conjugate gradient method The representative volume element

SCI ; EI

英语

其他

ENGINEERING

2-s2.0-85184014734

Scopus

1.School of Mechanics and Aerospace Engineering,Dalian University of Technology,Dalian,Linggong Road No. 2, Liaoning,116024,China
2.Department of Mechanics and Aerospace Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Liu，Hua Yu,Zheng，Yong Tong,Gao，Xiao Wei,et al. The inverse design of auxetics using the boundary element method and the constrained conjugate gradient method[J]. Engineering Analysis with Boundary Elements,2024,162:17-27.

Liu，Hua Yu,Zheng，Yong Tong,Gao，Xiao Wei,&Peng，Hai Feng.(2024).The inverse design of auxetics using the boundary element method and the constrained conjugate gradient method.Engineering Analysis with Boundary Elements,162,17-27.

Liu，Hua Yu,et al."The inverse design of auxetics using the boundary element method and the constrained conjugate gradient method".Engineering Analysis with Boundary Elements 162(2024):17-27.