Summability methods for elastic local fields in periodic heterogeneous materials

DOI10.1155/2018/3176584zbMath1427.74016OpenAlexW2898088102WikidataQ129030388 ScholiaQ129030388MaRDI QIDQ1720747

Andrea Caporale

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/3176584

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Inhomogeneity in solid mechanics (74E05) Summability in several variables (42B08)

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of sequences of two-dimensional Fejér means of trigonometric Fourier series of integrable functions
• Marcinkiewicz-summability of multi-dimensional Fourier transforms and Fourier series
• \(\ell _{1}\)-summability of higher-dimensional Fourier series
• Elastic buckling behaviour of a four-lobed cross section cylindrical shell with variable thickness under non-uniform axial loads
• Formulas for the stiffness of composites with periodic microstructure
• Overall viscoelastic properties of 2D and two-phase periodic composites constituted of elliptical and rectangular heterogeneities
• Pore pressure response to groundwater fluctuations in saturated double-layered soil
• Determination of the stress state of a piecewise homogeneous elastic body with a row of cracks on an interface surface subject to antiplane strains with inclusions at the tips
• The modified Fourier-Ritz approach for the free vibration of functionally graded cylindrical, conical, spherical panels and shells of revolution with general boundary condition
• Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
• Summability of Multi-Dimensional Trigonometric Fourier Series

This page was built for publication: Summability methods for elastic local fields in periodic heterogeneous materials