Existence and stability of necking deformations for nonlinearly elastic rods

DOI10.1007/BF00276914zbMath0629.73029MaRDI QIDQ1094184

Nicholas C. Owen

Publication date: 1987

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

shaperegularityexistencestatic solutionscircular cylinderelastic energyrodhyperelasticitylocal minimizersstrong ellipticityglobal minimizerglobal minimatractionmaterially homogeneousneck propagatingnon-monotonic functionthree-dimensional potentialuniform elongation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

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