Structure of singularities and its numerical realization in nonlinear elasticity

DOI10.1215/kjm/1250522212zbMath0519.73078OpenAlexW1574032506MaRDI QIDQ1054523

Masaya Yamaguti, Hiroshi Fujii

Publication date: 1980

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250522212

zbMATH Keywords

error estimatesbuckling modesstructure of singularitiesapproximate eigenproblemsbuckling stateselementary and stable catastrophesexistence or non-existence of symmetry groupformal classification theorems of simple critical pointsgroup theoretical argumentshomogeneous boundary valuesKármán-Donnell-Marguerre shell boundary value problemlocal behaviour of solutionsnumerical buckling loadsnumerical realization of singularitiesone behaviour variableordinary pathssnap and bifurcation phenomenastructure of fold and cusp catastrophes

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Numerical and other methods in solid mechanics (74S99)

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