Local and global bifurcation phenomena in plane-strain finite elasticity

DOI10.1016/0020-7683(85)90029-0zbMath0554.73033OpenAlexW2146380551MaRDI QIDQ760239

Ray W. Ogden

Publication date: 1985

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(85)90029-0

zbMATH Keywords

stability of solutionsglobal invertibilityBifurcationincompressible isotropic elastic materialcritical value of the tensiondeformation paths branchingelastic stress-deformation relationsglobal non-uniquenessin-plane dead-load tractionsincremental uniqueness and stabilityloading in equibiaxial tensionplane-strain problemstability of each branch

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Dynamical problems in solid mechanics (74H99) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07) Equilibrium (steady-state) problems in solid mechanics (74G99)

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