Code verification examples of a fully geometrical nonlinear membrane element using theme thodof manufactured solutions

Rupert Fisch, Franke J̈org, Ẅuchner Roland, Kai Uwe Bletzinger

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

Abstract

This paper presents an effective method to perform Code Verification of a software which is designed for structural analysis using membranes. The focus lies on initially curved structure swith largede formations in steady and unsteadyregimes. The material is as sumed to be lineare last icisotropic. Code Verification is a part of efforts to guarantee the code's correctness and to obtain finally predictive capability of the code. The Method of Manufactured Solutions turned out to be an effective tool to perform Code Verification, especially for initially curved structures. Here arbitrary invented ge-ometries and analytical solutions are chosen. The computer code must approach this solution a symptotically. The observed error reduction with systematic mesh refinement(i.e.observedorderofaccuracy) must be in the range of the formal order of accuracy, e.g.derived bya Tay lorseri esexpansion. If these twoorders match in the a symptoticrange, the implemented numerical algorithms are working a sintended. The given exam-plesprovide a complete hierarchical bench mark suite for the reader to assess other codes, too. In the present case sever a l membranest at eswere tested successfully andt he used code Carat++assessed toconverge -asintended -second order accurately inspace and time for all kind of shape sand solutions.

Original languageEnglish
Title of host publicationTextile Composites and Inflatable Structures VI - Proceedings of the 6th International Conference on Textile Composites and Inflatable Structures, Structures Membranes 2013
Pages102-113
Number of pages12
StatePublished - 2013
Event6th International Conference on Textile Composites and Inflatable Structures, Structural Membranes 2013 - Munich, Germany
Duration: 9 Oct 201311 Oct 2013

Publication series

NameTextile Composites and Inflatable Structures VI - Proceedings of the 6th International Conference on Textile Composites and Inflatable Structures, Structures Membranes 2013

Conference

Conference6th International Conference on Textile Composites and Inflatable Structures, Structural Membranes 2013
Country/TerritoryGermany
CityMunich
Period9/10/1311/10/13

Keywords

  • Benchmarks
  • Codeverification
  • MMS
  • Methodofmanufacturedsolutions
  • Nonlinearmembraneelement

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