TY - JOUR
T1 - Alternating Optimization Method for Isogeometric Topology Optimization with Stress Constraints
AU - Zhai , Xiaoya
JO - Journal of Computational Mathematics
VL - 1
SP - 134
EP - 155
PY - 2023
DA - 2023/12
SN - 42
DO - http://doi.org/10.4208/jcm.2209-m2021-0358
UR - https://global-sci.org/intro/article_detail/jcm/22155.html
KW - Isogeometric topology optimization, Stress constraints, The ADMM-MMA
solver.
AB - <p style="text-align: justify;">Topology optimization (TO) has developed rapidly recently. However, topology optimization with stress constraints still faces many challenges due to its highly non-linear
properties which will cause inefficient computation, iterative oscillation, and convergence
guarantee problems. At the same time, isogeometric analysis (IGA) is accepted by more
and more researchers, and it has become one important tool in the field of topology optimization because of its high fidelity. In this paper, we focus on topology optimization with
stress constraints based on isogeometric analysis to improve computation efficiency and
stability. A new hybrid solver combining the alternating direction method of multipliers
and the method of moving asymptotes (ADMM-MMA) is proposed to solve this problem.
We first generate an initial feasible point by alternating direction method of multipliers
(ADMM) in virtue of the rapid initial descent property. After that, we adopt the method
of moving asymptotes (MMA) to get the final results. Several benchmark examples are
used to verify the proposed method, and the results show its feasibility and effectiveness.</p>