Article (Scientific journals)
A stress-based approach to the optimal design of structures with unilateral behavior of material or supports
Bruggi, Matteo; Duysinx, Pierre
2013In Structural and Multidisciplinary Optimization, 48, p. 311-326
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Keywords :
topology optimization; stress constraints; unilateral contact; unilateral support; Drucker-Prager strength criterion
Abstract :
[en] The paper presents a stress-based approach that copes with the optimal design of truss-like elastic structures in case of unilateral behavior of material or ground supports. The conventional volume-constrained minimization of compliance is coupled with a set of local stress constraints that are enforced, all over the domain or along prescribed boundaries, to control the arising of members with tension-only or compression-only strength. A Drucker–Prager failure criterion is formulated to provide a smooth approximation of the no-tension or no-compression conditions governing the stress field. A selection strategy is implemented to handle efficiently the multi-constrained formulation that is solved through mathematical programming. Benchmark examples are investigated to discuss the features of the achieved optimal designs, as compared with problems involving material and ground supports with equal behavior in tension and compression. Numerical simulations show that a limited set of constraints is needed in the first iterations to steer the solution of the energy-driven optimization towards designs accounting for the prescribed assumption of unilateral strength.
Disciplines :
Mechanical engineering
Civil engineering
Aerospace & aeronautics engineering
Author, co-author :
Bruggi, Matteo;  Politechnico Milano, Italy
Duysinx, Pierre  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Language :
English
Title :
A stress-based approach to the optimal design of structures with unilateral behavior of material or supports
Publication date :
February 2013
Journal title :
Structural and Multidisciplinary Optimization
ISSN :
1615-147X
eISSN :
1615-1488
Publisher :
Springer, New York, United States - New York
Volume :
48
Pages :
311-326
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 22 February 2013

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