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An extension of the boundary element method to orthotropic materials for multiply connected regions (Q2759724)

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scientific article; zbMATH DE number 1683679
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English
An extension of the boundary element method to orthotropic materials for multiply connected regions
scientific article; zbMATH DE number 1683679

    Statements

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    9 October 2003
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    plate with circular hole
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    artificial boundary
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    boundary element method
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    multiply connected regions
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    orthotropic material
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    kernel functions
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    complex variables
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    multi-valued complex functions
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    An extension of the boundary element method to orthotropic materials for multiply connected regions (English)
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    The boundary element method (BEM) is applied to multiply connected regions with an orthotropic material behaviour. In the BEM formulation, the kernel functions contain two complex variables depending on coordinates and material constants of the orthotropic medium. Boundaries of the domain are approximated by straight elements. Artificial boundary in the vicinity of real boundary is introduced to eliminate singularities of integral kernels, and a new algorithm is introduced to calculate multi-valued complex functions. The proposed method is applied to a plate with a circular hole stretched by forces parallel to one of the principal directions of the material.NEWLINENEWLINEFor the entire collection see [Zbl 0970.00025].
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