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Levinson-Type Benchmarks for Slide-Clamped and Elastically Supported Plates

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Abstract

It is shown that, for a transversely isotropic, linearly elastic body in the form of a right cylinder of arbitrary cross section, explicit and exact equilibrium solutions of the form first proposed by Levinson [3] can be found not only when the body is simply supported but also (i) when it is clamped, with vertical sliding allowed, and (ii) when it is elastically supported. Such new solutions may serve as further benchmarks for two-dimensional plate theories.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università di Roma “La Sapienza”, via Eudossiana 18, I-00184, Roma, Italy

    P. Nardinocchi

  2. Dipartimento di Ingegneria Civile, Università di Roma “Tor Vergata”, Viale Politecnico 1, I-00133, Roma, Italy

    P. Podio-Guidugli

Authors
  1. P. Nardinocchi
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  2. P. Podio-Guidugli
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Nardinocchi, P., Podio-Guidugli, P. Levinson-Type Benchmarks for Slide-Clamped and Elastically Supported Plates. Journal of Elasticity 73, 211–220 (2003). https://doi.org/10.1023/B:ELAS.0000029923.98348.ab

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  • DOI: https://doi.org/10.1023/B:ELAS.0000029923.98348.ab

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