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Title: Combined shape and topology optimization for minimization of maximal von Mises stress

Here, 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.
Authors:
 [1] ;  [1] ;  [2] ;  [1] ; ORCiD logo [1]
  1. Technical Univ. of Denmark, Lyngby (Denmark)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Report Number(s):
LLNL-JRNL-708997
Journal ID: ISSN 1615-147X; TRN: US1702973
Grant/Contract Number:
AC52-07NA27344
Type:
Accepted Manuscript
Journal Name:
Structural and Multidisciplinary Optimization
Additional Journal Information:
Journal Volume: 55; Journal Issue: 5; Journal ID: ISSN 1615-147X
Publisher:
Springer
Research Org:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Stress minimization; Combined shape and topology optimization; Explicit surface representation; Deformable simplicial complex method
OSTI Identifier:
1399735

Lian, Haojie, Christiansen, Asger N., Tortorelli, Daniel A., Sigmund, Ole, and Aage, Niels. Combined shape and topology optimization for minimization of maximal von Mises stress. United States: N. p., Web. doi:10.1007/s00158-017-1656-x.
Lian, Haojie, Christiansen, Asger N., Tortorelli, Daniel A., Sigmund, Ole, & Aage, Niels. Combined shape and topology optimization for minimization of maximal von Mises stress. United States. doi:10.1007/s00158-017-1656-x.
Lian, Haojie, Christiansen, Asger N., Tortorelli, Daniel A., Sigmund, Ole, and Aage, Niels. 2017. "Combined shape and topology optimization for minimization of maximal von Mises stress". United States. doi:10.1007/s00158-017-1656-x. https://www.osti.gov/servlets/purl/1399735.
@article{osti_1399735,
title = {Combined shape and topology optimization for minimization of maximal von Mises stress},
author = {Lian, Haojie and Christiansen, Asger N. and Tortorelli, Daniel A. and Sigmund, Ole and Aage, Niels},
abstractNote = {Here, 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.},
doi = {10.1007/s00158-017-1656-x},
journal = {Structural and Multidisciplinary Optimization},
number = 5,
volume = 55,
place = {United States},
year = {2017},
month = {1}
}