Asymptotic methods in mechanics of solids

DOI10.1007/978-3-319-18311-4zbMath1330.34001OpenAlexW1197028967MaRDI QIDQ2348099

Rémi Vaillancourt, S. M. Bauer, Andreĭ Leonidovich Smirnov, Petr E. Tovstik, Sergei B. Filippov

Publication date: 10 June 2015

Published in: ISNM. International Series of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18311-4

zbMATH Keywords

singular perturbationsasymptotic estimatesmechanics of solidsregular perturbations

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Singular perturbations of ordinary differential equations (34D15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (11)

Preface to “Advances in mathematical theory of thin structures” in memory of Professor Petr E. Tovstik ⋮ An asymptotic strategy to couple homogenized elastic structures ⋮ Axisymmetric deformations of the orthotropic spherical layer under normal pressure ⋮ Natural vibrations of a cylindrical shell with an end cap. I: Asymptotic analysis ⋮ The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties ⋮ Buckling of Cylindrical Shell Stiffened by Annular Plate Under External Pressure ⋮ Free vibration frequencies of a circular thin plate with variable parameters ⋮ Effect of initial conditions on the dispersion dynamics of a diffusing substance ⋮ Natural frequencies of an inhomogeneous square thin plate ⋮ Asymptotic Approximations for Frequencies and Vibration Modes of Cylindrical Shell Stiffened by Annular Plates ⋮ Validation of Bredt's formulas for beams with hollow cross sections by the method of asymptotic splitting for pure torsion and their extension to shear force bending

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