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On the convection of a cusp in elastic stability

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Publication:1052861
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DOI10.1016/0022-5096(83)90022-4zbMath0516.73048OpenAlexW2020132025MaRDI QIDQ1052861

J. M. T. Thompson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-5096(83)90022-4


zbMATH Keywords

deformationmovementexplicit expressionscusped imperfection-sensitivitygeneral bifurcational contexthorizontal and vertical shiftsinfluence of further imperfection parameterssystematic perturbation analysistilting of primary two-thirds power-law cusp


Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Elastic materials (74B99)


Related Items

Michael Thompson: his seminal contributions to nonlinear dynamics -- and beyond



Cites Work

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  • Towards a unified bifurcation theory
  • A bifurcation theory for the instabilities of optimization and design
  • Stability predictions through a succession of folds
  • Local diffeomorphisms in the bifurcational manifestations of the umbilic catastrophes
  • An algorithm for the nonlinear analysis of compound bifurcation
  • Imperfection-sensitivity of semi-symmetric branching
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