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

Abstract

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

Citation Formats

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., 2017. 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. Fri . "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},
issn = {1615-147X},
number = 5,
volume = 55,
place = {United States},
year = {2017},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 4 works
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