Application of lie groups to the theory of shells and rods

DOI10.1016/S0362-546X(96)00376-8zbMath0903.73040WikidataQ115339173 ScholiaQ115339173MaRDI QIDQ4378727

Vassil M. Vassilev

Publication date: 2 December 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

large deflectionsinvariance propertiesvon Kármán equationsplate theorylinear forth-order partial differential equationsnonlinear Donnell-Mushtari-Vlasov theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Membranes (74K15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (2)

Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis ⋮ Group-theoretic exploitations of symmetry in computational solid and structural mechanics

Cites Work

• Discontinuous solutions of nonlinear wave phenomena by similarity approach
• Les equations de von Kármán
• On equations for large deflections of elastic plates and shallow shells
• Conservation laws and group-invariant solutions of the von Kármán equations
• On group analysis of the von Kármán equations
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