Schmidrathner, C. (2020). Buckling of a clamped strip-like beam with a linear pre-stress distribution. Zeitschrift Für Angewandte Mathematik Und Mechanik, 100(7). https://doi.org/10.1002/zamm.201900336
Zeitschrift für Angewandte Mathematik und Mechanik
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ISSN:
0044-2267
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Date (published):
2020
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Number of Pages:
13
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Publisher:
WILEY-V C H VERLAG GMBH
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Peer reviewed:
Yes
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Keywords:
Applied Mathematics; Computational Mechanics; incremental equations; lateral-torsional buckling; nonlinear rod model; pre-stress; spatial rod model; super- critical behavior
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Abstract:
A thin linear elastic strip is clamped at both ends and subjected to a linear stress distribution across its width. We use Kirchhoff beam theory to study this problem. If displacements out of the strips own plane are prohibited, the straight configuration remains stable as long as the compression is not too high. With the three-dimensional spatial description of the rod theory, we find possible buckling modes even in the case of average tensile stresses in the beam. Comparison with shell and beam finite elements shows excellent agreement with the analytical investigation, also with respect to the supercritical behavior.
