Details

Autor(en) / Beteiligte

• Brunetti, Matteo
• Favata, Antonino
• Paolone, Achille
• Vidoli, Stefano

Titel

A mixed variational principle for the Föppl–von Kármán equations

Ist Teil von

• Applied Mathematical Modelling, 2020-03, Vol.79, p.381-391

Ort / Verlag

New York: Elsevier Inc

Erscheinungsjahr

2020

Quelle

Taylor & Francis Journals Auto-Holdings Collection

Beschreibungen/Notizen

• •A mixed, low differential order, variational principle for the Foeppl von Karman shell model.•Simple mechanical interpretation of the displacement boundary conditions in terms of the Airy stress function.•FENICS code for its locking-free numerical implementation (Open-acces in a bitbucket repository). A mixed variational principle is proposed for deducing the Föppl–von Kármán equations governing the large deflections of thin elastic plates or shallow shells. Proper boundary conditions are found for the case of applied in-plane tractions and displacements, and simple mechanical interpretations are achieved. Numerical implementation is carried out, along with examples and comparisons with the classical formulation in terms of displacements.