The asymptotic behaviour of solutions of the first boundary-value problem of elasticity theory in domains with a finely-grained boundary

DOI10.1070/RM1983v038n06ABEH003454zbMath0552.73012OpenAlexW1985810660MaRDI QIDQ3345842

Leonid Berlyand

Publication date: 1983

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1983v038n06abeh003454

zbMATH Keywords

asymptoticselastostaticsfirst boundary value problembounded domaindisplacement boundary value problemfine-grained boundaryclosed set of fibersfiber diameters tend to zeromodified problemnumber of fibers goes to infinitysolution converges in L2

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Elastic materials (74B99)

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