The explicit formulas for the stress field of a prismatic dislocation loop (Q2773644)
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scientific article; zbMATH DE number 1710267
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The explicit formulas for the stress field of a prismatic dislocation loop |
scientific article; zbMATH DE number 1710267 |
Statements
24 February 2002
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Peach--Koehler formula
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asymptotic formula
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infinitesimal loop
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complete elliptic integral of the first and second kind
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0.88305485
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0.8716729
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0.8692355
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0.8599578
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0.85913235
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0.8497969
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0.8497691
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The explicit formulas for the stress field of a prismatic dislocation loop (English)
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Using the mathematical system ``Mathematica'', the author obtains explicit formulas for the stress field of a prismatic dislocation loop when Burgers vector is normal to the plane of the loop. In addition, the formulas for the stress tensor of an infinitesimal prismatic loop and the asymptotic formulas at infinity are derived. ``Topographical maps'' of stress field generated by a prismatic dislocation loop are given.
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