A new variational principle for finite elastic displacements
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Publication:2555395
DOI10.1016/0020-7225(72)90079-1zbMath0245.73031OpenAlexW2131349137MaRDI QIDQ2555395
Publication date: 1972
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7225(72)90079-1
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Cites Work
