Summary
Material conservation and balance laws of elementary beam theory have been derived. The application to beams with discontinuities in the stiffness results in a surprisingly simple formula to calculate stress intensity factors of cracked beams.
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Kienzler, R., Herrmann, G. An elementary theory of defective beams. Acta Mechanica 62, 37–46 (1986). https://doi.org/10.1007/BF01175852
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DOI: https://doi.org/10.1007/BF01175852