On constructing the unique solution for the necking in a hyperelastic rod

DOI10.1007/s10659-005-9032-2zbMath1124.74028OpenAlexW1992627230MaRDI QIDQ2498946

Yanyan Li

Publication date: 14 August 2006

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-005-9032-2

zbMATH Keywords

bifurcationsstored energy functiondisplacement-controlled problem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (4)

Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching ⋮ On constructing the analytical solutions for localizations in a slender cylinder composed of an incompressible hyperelastic material ⋮ BIFURCATIONS IN A BOUNDARY-VALUE PROBLEM OF A NONLINEAR MODEL FOR STRESS-INDUCED PHASE TRANSITIONS ⋮ Necking of a hyperelastic solid cylinder under axial stretching: evaluation of the infinite-length approximation

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