Complete system of two-dimensional invariants for formulation of triangular finite element of composite shells

DOI10.1016/J.APM.2011.12.056zbMath1254.74083OpenAlexW2058407318MaRDI QIDQ1930723

S. V. Levyakov, Viktor Vasilevich Kuznetsov

Publication date: 13 January 2013

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.12.056

zbMATH Keywords

invarianttriangular finite elementshear deformable shelltwo-dimensional tensor

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Shells (74K25)

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Cites Work

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• Phenomenological invariant-based finite-element model for geometrically nonlinear analysis of thin shells
• TRIC: A simple but sophisticated 3-node triangular element based on 6 rigid-body and 12 straining modes for fast computational simulations of arbitrary isotropic and laminated composite shells
• A practicable and locking-free laminated shallow shell triangular element of varying and adaptable curvature
• Phenomenological invariants and their application to geometrically nonlinear formulation of triangular finite elements of shear deformable shells
• Shear correction factors for plates and shells
• Nonlinear shell analysis via mixed isoparametric elements
• The use of ADINA for analysis of mines with explosive fills

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