Spline sectorial elements (Q1067863)
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scientific article; zbMATH DE number 3930510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spline sectorial elements |
scientific article; zbMATH DE number 3930510 |
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Spline sectorial elements (English)
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1984
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The quadratic and cubic splines local interpolation on a sectorial element in polar coordinates is discussed and a class of spline sectorial elements for analyses of plane and thin problems are presented. A reasonable treatment of the assumed displacement fields for elements with nodes at the origin \((r=0)\) has been made so that the elements can not only characterize the geometrical properties at the origin but also remove the singularity of strains and stresses there. Some numerical examples are given to show the efficiency of the proposed elements.
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quadratic and cubic splines
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local interpolation
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sectorial element
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polar coordinates
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plane and thin problems
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displacement fields
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elements with nodes at the origin
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characterize the geometrical properties
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remove the singularity of strains and stresses
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