Using discrete optimization algorithms to find minimum energy configurations of slender cantilever beams with non-convex energy functions

DOI10.1016/J.MECHRESCOM.2009.05.011zbMATH Open1206.74012OpenAlexW1975089285MaRDI QIDQ985973

Arun R. Srinivasa, Krishna R. Narayanan

Publication date: 9 August 2010

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechrescom.2009.05.011

zbMATH Keywords

dynamic programmingMarkov structurelarge deformation buckling

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Energy minimization in equilibrium problems in solid mechanics (74G65)

Cites Work

• Title not available (Why is that?)
• Post-buckling of uniform cantilever column under a combined load
• Exact post-buckling configurations of cantilevered column subjected to forces produced by a tensioned cable
• The finite deformation theory for beam, plate and shell. I: The two-dimensional beam theory
• Multiscale resolution in the computation of crystalline microstructure
• Ten remarks on nonconvex minimisation for phase transition simulations
• A kinematically exact space finite strain beam model -- finite element formulation by generalized virtual work principle
• A theory for the finite displacement of a thin-walled Bernoulli–Euler beam and lateral post-buckling analysis
• Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems
• Post-Buckling Behavior of Nonlinear Elastic Beams and Three-Dimensional Frames Using the Theory of a Cosserat Point

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