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Topology optimization using regularized intermediate density control
Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering.
Linköping University, The Institute of Technology. Linköping University, Department of Management and Engineering, Mechanics .
2001 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 190, no 37-38, 4911-4928 p.Article in journal (Refereed) Published
Abstract [en]

We consider topology optimization of elastic continua. The elasticity tensor is assumed to depend linearly on the design function (density) as in the variable thickness sheet problem. In order to get "black-white" design pictures, the intermediate density values are controlled by an explicit constraint. This constraint is regularized by including a compact and linear operator S to guarantee existence of solutions. A proof of convergence of the finite element (FE) discretized optimization problem's solutions to exact ones is also given, so the method is not prone to numerical anomalies such as mesh dependence or checkerboards. The procedure is illustrated in some minimum compliance examples where S is chosen to be a classical convolution-type operator. The FE-discretized optimization problems are solved by sequential convex approximations. © 2001 Elsevier Science B.V. All rights reserved.

Place, publisher, year, edition, pages
2001. Vol. 190, no 37-38, 4911-4928 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-47346DOI: 10.1016/S0045-7825(00)00356-XOAI: oai:DiVA.org:liu-47346DiVA: diva2:268242
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-13

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Borrvall, ThomasPetersson, Joakim

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