科研之友
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摘要
We present an analytical model, derived using the principle of virtual work, for closed and open thin-walled beams subjected to torsion. Nonclassical effects like primary and secondary torsional warping are taken into account. A closed-form expression for mode II stress-intensity factor for thin-walled beams with a longitudinal crack is derived. We start by finding analytical solutions based on Vlasov's torsional beam theory for thin-walled beams with any cross sections. We then use the calculated stress of a rectangular thin-walled beam to determine an analytical expression for mode II stress-intensity factor. Finally, we add a correction factor to account for complex behavior of long cracks. Examples are presented to illustrate the effectiveness of the current model, and it is validated by comparison with detailed finite element results obtained using ABAQUS.
- 出版日期2010-3
