Postbuckling performance of the TRIC natural mode triangular element for isotropic and laminated composite shells

DOI10.1016/S0045-7825(98)00071-1zbMath0945.74063OpenAlexW2018873694MaRDI QIDQ1818439

Manolis Papadrakakis, Constantina Apostolopoulou, Lazarus Teneketzis Tenek, J. H. Argyris

Publication date: 2 February 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00071-1

zbMATH Keywords

Eulerian motioncomposite shellsconvective coordinate systemisotropic shellsnatural mode finite element methodnonlinear postbuckling analysisTRIC flat triangular shell element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Bifurcation and buckling (74G60) Shells (74K25)

Related Items (16)

Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties ⋮ A continuum-based mixed shell element for shakedown analysis ⋮ A 4-Node Co-Rotational Quadrilateral Composite Shell Element ⋮ Nonlinear dynamic analysis of shells with the triangular element TRIC. ⋮ The mosaic of high performance domain decomposition methods for structural mechanics: formulation, interrelation and numerical efficiency of primal and dual methods. ⋮ The TRIC shell element: Theoretical and numerical investigation ⋮ Buckling analysis of imperfect I-section beam-columns with stochastic shell finite elements ⋮ An integrated geometric-algebraic method for solving semi-definite problems in structural mechanics. ⋮ A neural network-based surrogate model for carbon nanotubes with geometric nonlinearities ⋮ The mosaic of high-performance domain decomposition methods for structural mechanics. II: Formulation enhancements, multiple right-hand sides and implicit dynamics ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) ⋮ Element formulation and numerical techniques for stability problems in shells ⋮ Elasto-plastic analysis of shells with the triangular element TRIC ⋮ Stochastic finite element analysis of shells ⋮ The effect of material and thickness variability on the buckling load of shells with random initial imperfections ⋮ A stabilized co-rotational curved quadrilateral composite shell element

Uses Software

• TRIC

Cites Work

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• Consistent linearization for path following methods in nonlinear FE analysis
• An incremental approach to the solution of snapping and buckling problems
• 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
• Linear and geometrically nonlinear bending of isotropic and multilayered composite plates by the natural mode method
• An efficient and locking-free flat anisotropic plate and shell triangular element
• Instabilities induced by coarse meshes for a nonlinear shell problem
• A truncated Newton-Lanczos method for overcoming limit and bifurcation points
• A fast incremental/iterative solution procedure that handles “snap-through”
• A consistent co-rotational formulation for shells using the constant stress/constant moment triangle
• An effective automatic incremental/iterative method for static nonlinear structural analysis
• A note on FEM buckling analysis

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