Explicit and exact Levinson-type solutions for multilayered plates

• Autorzy: Formica G. , Lembo M. , Podio-Guidugli P.
• Konferencja: Solid Mechanics Conference (38 ; 27-31.08.2012 ; Warsaw, Poland)
• Języki publikacji: EN

Abstrakty

EN

Explicit and exact three-dimensional solutions are derived for the equilibrium problem of plate-like bodies with rectangular or circular cross-sections, made of several layers of transversely isotropic materials, simply supported on the lateral boundary, and loaded on the end faces. The component-wise representation of equilibrium displacement fields has the form of a series, whose typical term is the product of a function of the in-plane coordinates and a function of the transverse coordinate. Examples are presented to demonstrate, by comparison with finite-element solutions, the accuracy achieved when solution series are truncated after few terms.

Słowa kluczowe

EN

three-dimensional exact solutions multilayered plate-like bodies

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2013
• Tom: Vol. 65, nr 5
• Strony: 445--466
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Formica G.

• Dipartimento di Strutture Università Roma Tre via Corrado Segre 4/6 IT-00146 Roma, Italy

autor

Lembo M.

• Dipartimento di Strutture Università Roma Tre via Corrado Segre 4/6 IT-00146 Roma, Italy

autor

Podio-Guidugli P.

• Dipartimento di Ingegneria Civile Università di Roma TorVergata Roma, Italy

Bibliografia

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• 3. V. Nicotra, A. Tiero, Exact solutions for linearly electroelastic plate-like bodies, J. Elasticity, 74, 249–263, 2004.
• 4. V. Nicotra, P. Podio-Guidugli, A. Tiero, Exact equilibrium solutions for linear elastic plate-like bodies, J. Elasticity, 56, 231–245, 1999.
• 5. P. Nardinocchi, P. Podio-Guidugli, Levinson-type benchmarks for slide-clamped and elastically supported plates, J. Elasticity, 73, 211–220, 2003.
• 6. V. Nicotra, Benchmark solutions for simply supported plates of arbitrary shape. The case of circular plater [in Italian], Quaderno IAC, Vol. 4, 2000.
• 7. M. Lembo, P. Podio-Guidugli, How to use reactive stresses to improve plate-theory approximations of the stress field in a linearly elastic plate-like body, Int. J. Solids and Structures, 44, 231–245, 2007.
• 8. C. Truesdell, R. Toupin, The Classical Field Theories, [in:] Handbuch der Physik, S. Flügge [Ed.], Springer, Berlin, 1960.
• 9. E. Pan, An exact solution for transversely isotropic, simply supported and layered rectangular plater , J. Elasticity, 25, 101–116, 1991