Topology Optimization of Potential and Elasticity Problems Using Boundary Elements

Cisilino, Adrián P.; Justo, Juan B.; Bertsch, Christine; Neches, Luis Carretero; Materiales, Resistencia de; Calvo, Nestor Alberto

doi:10.2514/6.2008-5993

Cited by 4 publications

(8 citation statements)

References 8 publications

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“…Within this context, and to the authors' knowledge, the only antecedents in the implementation of the TopologicalShape Sensitivity Method [10] using BEM are two-dimensional. These are the works by Marczak [12] and Cisilino [13] for potential problems and by Marczak [14] and Carretero and Cisilino [15] for elastic problems. Both implementations, those due to Marczak [12,14] and those due to Cisilino [13] and Carretero and Cisilino [15] use similar procedures for the computation of the topological derivative.…”

Section: Introductionmentioning

confidence: 98%

“…These are the works by Marczak [12] and Cisilino [13] for potential problems and by Marczak [14] and Carretero and Cisilino [15] for elastic problems. Both implementations, those due to Marczak [12,14] and those due to Cisilino [13] and Carretero and Cisilino [15] use similar procedures for the computation of the topological derivative. However, they differ in the strategies used for the creation of the holes and the model geometry update and remeshing.…”

Section: Introductionmentioning

confidence: 98%

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Topology optimization of three-dimensional load-bearing structures using boundary elements

Bertsch¹,

Cisilino²,

Calvo³

2010

Advances in Engineering Software

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 98%

Topology optimization of three-dimensional load-bearing structures using boundary elements

Bertsch¹,

Cisilino²,

Calvo³

2010

Advances in Engineering Software

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“…The boundary element based topological derivatives concept was used by Marczak [20] and Cisilino [21] for the topology optimisation of potential problems. The derivation of the topological derivative formulation in these methods was based on the work of Novotny et al [22], who presented a new computational approach of the topological sensitivity analysis.…”

Section: Introductionmentioning

confidence: 99%

Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method

Ullah

Trevelyan

2013

Engineering Analysis with Boundary Elements

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(2013) 'Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method.', Engineering analysis with boundary elements., 37 (11). pp. 1457-1470.Further information on publisher's website:http://dx.doi.org/10. 1016/j.enganabound.2013.08.003 Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Engineering analysis with boundary elements. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reected in this document. Changes may have been made to this work since it was submitted for publication. A denitive version was subsequently published in Engineering analysis with boundary elements, 37, 11, 2013, 10.1016/j.enganabound.2013.08.003 Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractThe research work presented in this paper is based on the correlation between two hole insertion criteria in a boundary element method (BEM) and level set method (LSM) based structural topology optimisation scheme for 2D elastic problems. The hole insertion criteria used in this work are based on the von Mises stress and the topological derivative approaches. During the optimisation process holes are automatically inserted in the design domain using each of the two criteria. The LSM is used to provide an implicit description of the structural geometry, and is also capable of automatically handling topological changes, i.e. holes merging with each other or with the boundary. The evolving structural geometry (i.e. the zero level set contours)is represented by NURBS, providing a smooth geometry throughout the optimisation process and completely eliminate jagged edges. In addition the optimal NURBS geometry can be used directly in other design processes.

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“…Both implementations, that due to Marczak [11,12] and the one presented in Ref. [10] use similar procedures for the computation of the topological derivative results. However, they differ in the strategy proposed for the creation of the holes and the model update and remeshing.…”

Section: Introductionmentioning

confidence: 97%

“…[9]) and free boundary parametrization methods [6]. To the authors' knowledge, the only antecedent in the implementation of the Novotny et al [8] approach for the computation of the topological derivative using BEM are the recent works by Cisilino [10] and Marczak [11] for potential problems and by Marczak [12] for elastic problems. Both implementations, that due to Marczak [11,12] and the one presented in Ref.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of 2D elastic structures using boundary elements

Neches¹,

Cisilino²

2008

Engineering Analysis with Boundary Elements

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Topology Optimization of Potential and Elasticity Problems Using Boundary Elements

Cited by 4 publications

References 8 publications

Topology optimization of three-dimensional load-bearing structures using boundary elements

Topology optimization of three-dimensional load-bearing structures using boundary elements

Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method

Topology optimization of 2D elastic structures using boundary elements

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