On approximate properties of Sobolev spaces of elasticity theory on thin rod structures

DOI10.1007/S10958-005-0393-7zbMath1099.46025OpenAlexW2053291038MaRDI QIDQ812316

S. E. Pastukhova

Publication date: 23 January 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0393-7

zbMATH Keywords

approximation conditionsperiodic vector-functions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Approximate conditions and passage to the limit in Sobolev spaces over thin and composite structures ⋮ On the homogenization of problems in the theory of elasticity on composite structures

Cites Work

• Homogenization for elasticity problems on periodic networks of critical thickness
• Homogenization of elasticity problems on singular structures
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