TY - JOUR
T1 - Structural stability and artificial buckling modes in topology optimization
AU - Dalklint, Anna
AU - Wallin, Mathias
AU - Tortorelli, Daniel A.
N1 - Funding Information:
This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore Laboratory under Contract DE-AC52-07NA27344. The Swedish energy agency (grant nbr. 48344-1) and eSSENCE: The e-Science Collaboration (grant nbr. 2020 6:1) are also gratefully acknowledged. The computations were enabled by resources provided by the Swedish National Infrastructure for Computing (SNIC) at Lunarc partially funded by the Swedish Research Council through grant agreement no. 2018-05973. The authors would finally like to thank Prof. Krister Svanberg for providing the MMA code.
Publisher Copyright:
© 2021, The Author(s).
PY - 2021/10
Y1 - 2021/10
N2 - This paper demonstrates how a strain energy transition approach can be used to remove artificial buckling modes that often occur in stability constrained topology optimization problems. To simulate the structural response, a nonlinear large deformation hyperelastic simulation is performed, wherein the fundamental load path is traversed using Newton’s method and the critical buckling load levels are estimated by an eigenvalue analysis. The goal of the optimization is to minimize displacement, subject to constraints on the lowest critical buckling loads and maximum volume. The topology optimization problem is regularized via the Helmholtz PDE-filter and the method of moving asymptotes is used to update the design. The stability and sensitivity analyses are outlined in detail. The effectiveness of the energy transition scheme is demonstrated in numerical examples.
AB - This paper demonstrates how a strain energy transition approach can be used to remove artificial buckling modes that often occur in stability constrained topology optimization problems. To simulate the structural response, a nonlinear large deformation hyperelastic simulation is performed, wherein the fundamental load path is traversed using Newton’s method and the critical buckling load levels are estimated by an eigenvalue analysis. The goal of the optimization is to minimize displacement, subject to constraints on the lowest critical buckling loads and maximum volume. The topology optimization problem is regularized via the Helmholtz PDE-filter and the method of moving asymptotes is used to update the design. The stability and sensitivity analyses are outlined in detail. The effectiveness of the energy transition scheme is demonstrated in numerical examples.
KW - Artificial buckling modes
KW - Eigenvalue problem
KW - Energy transition
KW - Nonlinear elasticity
KW - Stability
KW - Topology optimization
UR - https://www.scopus.com/pages/publications/85113150696
UR - https://www.scopus.com/inward/citedby.url?scp=85113150696&partnerID=8YFLogxK
U2 - 10.1007/s00158-021-03012-z
DO - 10.1007/s00158-021-03012-z
M3 - Article
AN - SCOPUS:85113150696
SN - 1615-147X
VL - 64
SP - 1751
EP - 1763
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
IS - 4
ER -