Calculation of the characteristic of thin elastic rods with a periodic structure

DOI10.1016/0021-8928(91)90039-WzbMath0787.73038MaRDI QIDQ1313998

Alexander G. Kolpakov

Publication date: 7 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionsthree-dimensional theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10)

Related Items (9)

The stiffnesses of elastic cylindrical beams ⋮ Weak enforcement of interface continuity and generalized periodicity in high‐order electromechanical problems ⋮ Variational principles for stiffnesses of a non-homogeneous beam ⋮ Justification of the asymptotic expansion method for homogeneous isotropic beams by comparison with de Saint-Venant's solutions ⋮ An asymptotic analysis of composite beams with kinematically corrected end effects ⋮ Limit analysis of periodic beams ⋮ Homogenization of helical beam-like structures: Application to single-walled carbon nanotubes ⋮ Two-level multiscale enrichment methodology for modeling of heterogeneous plates ⋮ The long-term memory effect in homogeneous plates

Cites Work

• Homogenization of three-dimensional elasticity problem for a thin inhomogeneous bar
• A new model for thin plates with rapidly varying thickness
• Determination of the average characteristics of elastic frameworks
• Thin elastic and periodic plates
• On the dependence of the velocity of elastic waves in composite media on initial stresses
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