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A mixed variational principle for the Föppl-von Kármán equations. (English) Zbl 07190978
Summary: 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.
MSC:
74 Mechanics of deformable solids
49 Calculus of variations and optimal control; optimization
Software:
FEniCS
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References:
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