An asymptotic approach for the evaluation of errors resulting from estimations of stability limits in nonlinear elasticity

DOI10.1007/BF01177311zbMath0941.74009MaRDI QIDQ1384796

Peter Helnwein, Herbert A. Mang

Publication date: 7 August 2000

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

bifurcationcritical loadslimit pointlarge elastic deformationcircular archhigher-order estimations

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items (5)

Conversion from imperfection-sensitive into imperfection-insensitive elastic structures. I: Theory ⋮ Are the terms \textit{stiffening/softening structures} mechanically unambiguous? ⋮ Conditions for minimum stiffness of proportionally loaded structures ⋮ Computational structural mechanics ⋮ Remarkable postbuckling paths analyzed by means of the consistently linearized eigenproblem

Cites Work

• Consistent linearization for path following methods in nonlinear FE analysis
• An arc-length method including line searches and accelerations
• Finite deformation post-buckling analysis involving inelasticity and contact constraints
• A fast incremental/iterative solution procedure that handles “snap-through”
• The Application of Newton’s Method to the Problem of Elastic Stability
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