An extended beam theory for smart material applications. I: Extended beam models, duality theory, and finite element simulations

DOI10.1007/BF01182627zbMath0856.73026OpenAlexW2003940442MaRDI QIDQ1925031

Yanyan Li

Publication date: 3 December 1996

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01182627

zbMATH Keywords

existenceuniquenessHamilton's principleelastic beamconvex analysisTimoshenko beam modelplastic beamrigid-perfectly plastic beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (3)

Contact problems and dual variational inequality of 2-D elastoplastic beam theory ⋮ An extended 2D Gao beam model ⋮ Bi-complementarity and duality: A framework in nonlinear equilibria with applications to the contact problem of elastoplastic beam theory

Cites Work

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• Dual extremum principles in finite deformation elastoplastic analysis
• Nearly circular shear mode cracks
• Geometric nonlinearity: potential energy, complementary energy, and the gap function

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