Integration of design and analysis through boundary integral equations

Benjamin Marussig, Jürgen Zechner, Gernot Beer, Thomas Peter Fries

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

The direct integration of Computer Aided Geometric Design (CAGD) models into a numerical simulation improves the accuracy of the geometrical representation of the problem as well as the efficiency of the overall analysis process. In this work, the complementary features of isogeometric analysis and boundary integral equations are combined to obtain a coalescence of design and analysis which is based on a boundary-only discretization. Following the isogeometric concept, the functions used by CAGD are employed for the simulation. An independent field approximation is applied to obtain a more flexible and efficient formulation. In addition, a procedure is presented which allows a stable analysis of trimmed geometries and a straightforward positioning of collocation points. Several numerical examples demonstrate the characteristics and benefits of the proposed approach. In particular, the independent field approximation improves the computational efficiency and reduces the storage requirements without any loss of accuracy. The proposed methodology permits a seamless integration of the most common design models into an analysis of linear elasticity problems.

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
PublisherNational Technical University of Athens
Pages6526-6538
Number of pages13
Volume3
ISBN (Electronic)9786188284401
Publication statusPublished - 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
CountryGreece
CityCrete
Period5/06/1610/06/16

Fingerprint

Boundary integral equations
Boundary Integral Equations
Computer aided design
Computer Aided Geometric Design
Computational efficiency
Coalescence
Elasticity
Isogeometric Analysis
Geometry
Elasticity Problem
Linear Elasticity
Computer simulation
Approximation
Collocation
Computational Efficiency
Positioning
Discretization
Numerical Simulation
Numerical Examples
Design

Keywords

  • Boundary element method
  • Extended B-splines
  • Independent field approximation
  • Isogeometric analysis
  • Trimmed NURBS

ASJC Scopus subject areas

  • Artificial Intelligence
  • Applied Mathematics

Cite this

Marussig, B., Zechner, J., Beer, G., & Fries, T. P. (2016). Integration of design and analysis through boundary integral equations. In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering (Vol. 3, pp. 6526-6538). National Technical University of Athens .

Integration of design and analysis through boundary integral equations. / Marussig, Benjamin; Zechner, Jürgen; Beer, Gernot; Fries, Thomas Peter.

ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 3 National Technical University of Athens , 2016. p. 6526-6538.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Marussig, B, Zechner, J, Beer, G & Fries, TP 2016, Integration of design and analysis through boundary integral equations. in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. vol. 3, National Technical University of Athens , pp. 6526-6538, 7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016, Crete, Greece, 5/06/16.
Marussig B, Zechner J, Beer G, Fries TP. Integration of design and analysis through boundary integral equations. In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 3. National Technical University of Athens . 2016. p. 6526-6538
Marussig, Benjamin ; Zechner, Jürgen ; Beer, Gernot ; Fries, Thomas Peter. / Integration of design and analysis through boundary integral equations. ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering. Vol. 3 National Technical University of Athens , 2016. pp. 6526-6538
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