Post-buckling solutions of hyper-elastic beam by canonical dual finite element method

DOI10.1177/1081286513482483zbMath1298.74085arXiv1302.4136OpenAlexW2963709089MaRDI QIDQ2922312

David Yang Gao, Qing-Hua Qin, Kun Cai

Publication date: 10 October 2014

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4136

zbMATH Keywords

global optimizationpost bucklingnon-convex variational problemnonlinear beam modelcanonical dual finite element method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)

Related Items (4)

Analytical solutions to general anti-plane shear problems in finite elasticity ⋮ Stability of heterogeneous beams with three supports through Green functions ⋮ On modeling and global solutions for d.c. optimization problems by canonical duality theory ⋮ A review on buckling and postbuckling of thin elastic beams

Cites Work

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