Introduction of a segment-to-segment penalty contact formulation

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.advisor Dhondt, Guido
dc.contributor.author Hokkanen, Jaro
dc.date.accessioned 2014-03-05T12:16:59Z
dc.date.available 2014-03-05T12:16:59Z
dc.date.issued 2014-02-24
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/12665
dc.description.abstract The modeling of contact problems in solid mechanics using the finite element method is a challenging and complicated task. Stable, efficient and accurate algorithms are required for finding an effective solution for general contact problems. This thesis introduces a transition from a node-to-segment penalty contact formulation to an effective segment-to-segment penalty contact formulation. The main issues of the node-to-segment approach are convergence problems and inaccurate results in case of nonconforming meshes. These disadvantages are caused by the fact that the contact constraints are satisfied only at the nodal locations. The relatively new segment-to-segment formulations provide a way to apply the constraint conditions along the entire boundary in a weak integral sense. This usually results in better stability and accuracy. Several different discretization schemes for the proposed segment-to-segment formulation are presented. Moreover, additional complexities caused by the new formulation are discussed and the solutions for these problems are introduced. The different discretization schemes are compared by simple examples as well as big and complicated real models. Additionally, the widely accepted numerical benchmark test known as “patch test” is conducted to compare the results given by the different contact implementations. The results obtained by the comparisons support the expected outcome of the segment-to-segment approach. The advantages of the segment-to-segment formulations become clear and a much better contact algorithm is introduced into an open source finite element analysis program. en
dc.format.extent 93+28
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.title Introduction of a segment-to-segment penalty contact formulation en
dc.type G2 Pro gradu, diplomityö en
dc.contributor.school Insinööritieteiden korkeakoulu fi
dc.subject.keyword contact en
dc.subject.keyword penalty method en
dc.subject.keyword node-to-segment en
dc.subject.keyword segment-to-segment en
dc.subject.keyword patch test en
dc.identifier.urn URN:NBN:fi:aalto-201403061489
dc.programme.major Lentotekniikka fi
dc.programme.mcode Kul-34 fi
dc.type.ontasot Master's thesis en
dc.type.ontasot Diplomityö fi
dc.contributor.supervisor Saarela, Olli
dc.programme Konetekniikan koulutusohjelma fi


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