Contribution to free boundary problems using boundary elements: Trefftz approach

There are two main approaches to the formulation of boundary methods, these are boundary integral equations and approximations by complete systems of solutions (Trefftz method). The latter has been the subject of extensive studies by one of the authors oriented to clarifying the foundations of the m...

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Published inComputer methods in applied mechanics and engineering Vol. 42; no. 3; pp. 257 - 271
Main Authors Alduncin, Gonzalo, Herrera, Ismael
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.01.1984
Elsevier
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Free boundary
Approximation
Boundary value problem
Friction
Signorini problem
Digital method
Elasticity
Calculating method
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ISSN0045-7825
1879-2138
DOI10.1016/0045-7825(84)90008-2

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Summary:There are two main approaches to the formulation of boundary methods, these are boundary integral equations and approximations by complete systems of solutions (Trefftz method). The latter has been the subject of extensive studies by one of the authors oriented to clarifying the foundations of the method and increasing its versatility. The present paper is devoted to explain the application of this procedure to free boundary problems such as Signorini and friction problems in elasticity.
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ISSN:0045-7825
1879-2138
DOI:10.1016/0045-7825(84)90008-2