TY - JOUR
T1 - A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes
AU - Liao, Haitao
AU - Ding, Wenjie
AU - Ai, Shigang
AU - Gao, Ruxin
N1 - Publisher Copyright:
© 2024 Elsevier B.V.
PY - 2024/3/1
Y1 - 2024/3/1
N2 - Stress-minimization topology optimization with multi-phase materials is still an academic challenge, especially for three-dimensional (3D) problems. This paper proposes a novel stress-based multi-material topology optimization method to achieve a 3D stress-minimization design involving unstructured meshes. A comprehensive stair form interpolation model is introduced to address both stiff penalization and stress relaxation issues. In this model, only one type of nodal design variable is introduced to represent the multi-material density field, which is projected to the physical parameter field using smooth Heaviside functions with varied threshold settings. To minimize the global measure of stress, the P-norm stress aggregation function is established and a multi-material topology optimization problem with an arbitrary number of volume constraints is formulated. Additionally, the adjoint sensitivity analysis is performed and the provided interpolation model adaptively updates the interpolation parameters. Finally, the presented methodology is validated by several three-dimensional design examples, including a supported beam, bridge, and airplane bearing bracket.
AB - Stress-minimization topology optimization with multi-phase materials is still an academic challenge, especially for three-dimensional (3D) problems. This paper proposes a novel stress-based multi-material topology optimization method to achieve a 3D stress-minimization design involving unstructured meshes. A comprehensive stair form interpolation model is introduced to address both stiff penalization and stress relaxation issues. In this model, only one type of nodal design variable is introduced to represent the multi-material density field, which is projected to the physical parameter field using smooth Heaviside functions with varied threshold settings. To minimize the global measure of stress, the P-norm stress aggregation function is established and a multi-material topology optimization problem with an arbitrary number of volume constraints is formulated. Additionally, the adjoint sensitivity analysis is performed and the provided interpolation model adaptively updates the interpolation parameters. Finally, the presented methodology is validated by several three-dimensional design examples, including a supported beam, bridge, and airplane bearing bracket.
KW - Multi-material topology optimization
KW - Nodal variable
KW - Stair form interpolation model
KW - Stress-minimization
KW - Unstructured meshes
UR - http://www.scopus.com/inward/record.url?scp=85184997326&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2024.116774
DO - 10.1016/j.cma.2024.116774
M3 - Article
AN - SCOPUS:85184997326
SN - 0045-7825
VL - 421
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
M1 - 116774
ER -