Three-dimensional stability theory of deformed bodies. Internal instability

DOI10.1007/BF00888032zbMath0612.73055OpenAlexW1972958047MaRDI QIDQ3753586

A. N. Guz'

Publication date: 1985

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00888032

zbMATH Keywords

bifurcationsmall deformationsinternal stabilitydeformable bodieshyperbolic conditionconstant normalelastic and inelastic materialsexact and approximate theoriesstrong ellipticity of the differential operatorssuperimposed on large initial deformationsvanishing initial stresses

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Plastic materials, materials of stress-rate and internal-variable type (74C99) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Equilibrium (steady-state) problems in solid mechanics (74G99)

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Cites Work

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• A general theory of uniqueness and stability in elastic-plastic solids
• Equations of bifurcation o f equilibrium of an elastic isotropic body in terms of rates of change of Lagrangean coordinates
• Three-dimensional theory of inelastic stability specific results

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