Boundary contour method for mixed boundary value problems in the dual system of plane elasticity

Szirbik Sándor, Mátyás (2015) Boundary contour method for mixed boundary value problems in the dual system of plane elasticity. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 10 (1). pp. 65-82. ISSN 1586-2070

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Abstract

In this paper the boundary contour method in the dual system of plane elasticity is developed further by clarifying the issue of how to apply the method to mixed boundary value problems on simply and multiply connected regions. In contrast to [1,2] in which the contour is divided into two arcs on which tractions and displacements are imposed, respectively, here we shall allow the contour to be divided into an even number of arcs (the number of arcs should be at least four) assuming that tractions and displacements are prescribed on the subsequent arcs. This means that the equations of the boundary contour method set up in [2] are not sufficient to solve these mixed boundary value problems since they do not involve the supplementary conditions of single valuedness which should be kept in order for obtaining correct solutions. This paper presents the supplementary conditions of single valuedness and shows how to add them to the solution algorithm. Numerical examples prove the efficiency of this technique.

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