Bifurcation and post-buckling analysis of laminated composite plates via reduced basis technique

DOI10.1016/0045-7825(81)90046-3zbMath0474.73100OpenAlexW1966969022MaRDI QIDQ1159023

Jeanne M. Peters, Ahmed K. Noor

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90046-3

zbMATH Keywords

bifurcation pointRayleigh-Ritz techniqueeigenmode of panel

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Bifurcation and buckling (74G60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer aspects of numerical algorithms (65Y99)

Related Items

Reduced basis method for linear elasticity problems with many parameters ⋮ Hybrid changeable basis Galerkin technique for nonlinear analysis of structures ⋮ RB (reduced basis) for RB (Rayleigh-Bénard) ⋮ Reduced Basis Method Applied to Eigenvalue Problems from Convection ⋮ Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics. ⋮ Fast divergence-conforming reduced basis methods for steady Navier-Stokes flow ⋮ Reduced basis method applied to a convective stability problem ⋮ Nonlinear analysis using a reduced number of variables

Cites Work

• The buckling and post-buckling behaviour of composite plates under biaxial loading
• An incremental approach to the solution of snapping and buckling problems
• Incremental displacement algorithms for nonlinear problems
• Recent advances in reduction methods for nonlinear problems
• A fast incremental/iterative solution procedure that handles “snap-through”
• Postbuckling Behavior of Unsymmetrically Layered Anisotropic Rectangular Plates
• Post-Buckling Behaviour of Rectangular Orthotropic Plates
• Solution techniques for non−linear finite element problems
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