Asymptotic analysis of perforated shallow shells

DOI10.1016/j.ijengsci.2011.12.005zbMath1423.74574OpenAlexW2122830244MaRDI QIDQ1659838

Dieter Weichert, Igor V. Andrianov, Alexander L. Kalamkarov

Publication date: 23 August 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.12.005

zbMATH Keywords

asymptotic homogenizationSchwarz alternating methodtwo-point Padé approximantsboundary shape perturbation methodperforated shell

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (4)

On effective material parameters of thin perforated shells under static loading ⋮ Free vibration of perforated cylindrical shells of revolution: asymptotics and effective material parameters ⋮ On effects of perforated domains on parameter-dependent free vibration ⋮ Vibration analysis of a thermo-mechanically coupled large-scale welded wall based on an equivalent model

Cites Work

• Asymptotics of solutions to the Poisson problem in a perforated domain with corners
• Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions
• Numerical boundary corrector for elliptic equations with rapidly oscillating periodic coefficients
• Perturbation of boundary shape in continuum mechanics (review)
• Homogenization of thin piezoelectric perforated shells
• Homogenization of thin piezoelectric perforated shells
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