Some computational aspects of a group theoretic finite element approach to the buckling and postbuckling analyses of plates and shells of revolution

DOI10.1016/S0045-7825(98)00204-7zbMath0953.74068OpenAlexW2054063555MaRDI QIDQ1965153

J. C. Wohlever

Publication date: 25 January 2001

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)00204-7

zbMATH Keywords

bucklingpostbucklinggroup theoretic finite element approachimperfection sensitive shell structuresmaximum load-carrying capacity

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Shells (74K25)

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Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ Unnamed Item ⋮ A group theoretic approach to the global bifurcation analysis of an axially compressed cylindrical shell ⋮ A symmetry-based decomposition approach to eigenvalue problems ⋮ Some computational aspects of a group theoretic finite element approach to the buckling and postbuckling analyses of plates and shells of revolution ⋮ Multiple bifurcation paths visualized by a computational asymptotic stability theory ⋮ On the decomposition of generalized eigenproblems for the free vibration analysis of cyclically symmetric finite element models ⋮ EVALUATION OF THE FOLD LINE BY ASYMPTOTIC EXTRAPOLATION FOR STRUCTURAL ANALYSIS ⋮ Group-theoretic exploitations of symmetry in computational solid and structural mechanics ⋮ Improvement of the scaled corrector method for bifurcation analysis using symmetry-exploiting block-diagonalization ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999) ⋮ Post-critical analysis of structures with a nonlinear pre-buckling state in the presence of imperfections.

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