Nonlinear theory for elastic spatial rods

DOI10.1016/0020-7683(91)90030-JzbMATH Open0734.73029OpenAlexW2077585319MaRDI QIDQ811170

N. E. Zubov

Publication date: 1991

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(91)90030-j

zbMATH Keywords

principle of minimum potential energyequilibrium equationsvariational procedurespatial rodsgeneral forms of kinematical relationsone-dimensional constitutive equationssmall finite deformationssystem of nonlinear equilibrium differential equationsthree-dimensional nonlinear formulation of elasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Optimization of other properties in solid mechanics (74P10)

Related Items (8)

A nonlinear theory for elastic bars under tension ⋮ Elastic rods in life- and material-sciences: a general integrable model ⋮ Modeling of rod-structures in nonlinear elasticity ⋮ Variational principles for nonlinear Kirchhoff rods ⋮ Local linear Timoshenko rod ⋮ Paradoxical bending behavior of shearable nonlinearly elastic rods ⋮ A PRIORIBOUNDS ON SPATIAL MOTIONS OF INCOMPRESSIBLE NONLINEARLY ELASTIC RODS ⋮ Global injectivity and topological constraints for spatial nonlinearly elastic rods

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