TY - JOUR
T1 - Combined shape and topology optimization for minimization of maximal von Mises stress
AU - Lian, Haojie
AU - Christiansen, Asger N.
AU - Tortorelli, Daniel A.
AU - Sigmund, Ole
AU - Aage, Niels
N1 - Funding Information:
The authors appreciate the support of the Villum foundation through the grant “NextTop” as well as the EU-project “LaScISO”. Also, we would like to express our gratitude to Andreas Bærentzen and Morten Nobel-Jørgensen for assistance, support and valuable discussions.
Publisher Copyright:
© 2017, Springer-Verlag Berlin Heidelberg.
PY - 2017/5/1
Y1 - 2017/5/1
N2 - This work shows that a combined shape and topology optimization method can produce optimal 2D designs with minimal stress subject to a volume constraint. The method represents the surface explicitly and discretizes the domain into a simplicial complex which adapts both structural shape and topology. By performing repeated topology and shape optimizations and adaptive mesh updates, we can minimize the maximum von Mises stress using the p-norm stress measure with p-values as high as 30, provided that the stress is calculated with sufficient accuracy.
AB - This work shows that a combined shape and topology optimization method can produce optimal 2D designs with minimal stress subject to a volume constraint. The method represents the surface explicitly and discretizes the domain into a simplicial complex which adapts both structural shape and topology. By performing repeated topology and shape optimizations and adaptive mesh updates, we can minimize the maximum von Mises stress using the p-norm stress measure with p-values as high as 30, provided that the stress is calculated with sufficient accuracy.
KW - Combined shape and topology optimization
KW - Deformable simplicial complex method
KW - Explicit surface representation
KW - Stress minimization
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U2 - 10.1007/s00158-017-1656-x
DO - 10.1007/s00158-017-1656-x
M3 - Article
AN - SCOPUS:85010767506
SN - 1615-147X
VL - 55
SP - 1541
EP - 1557
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
IS - 5
ER -