Multiscale finite element algorithm of the eigenvalue problems for the elastic equations in composite materials

DOI10.1016/j.cma.2009.03.015zbMath1228.74099OpenAlexW2003415566MaRDI QIDQ653584

Lei Zhang, Xin Wang, Li-qun Cao

Publication date: 19 December 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.03.015

zbMATH Keywords

eigenvalue problemcomposite materialsmultiscale finite element methodelastic equations

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (11)

Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials ⋮ A uniform multiscale method for 2D static and dynamic analyses of heterogeneous materials ⋮ Multiscale asymptotic analysis and algorithm for the quadratic eigenvalue problem in composite materials ⋮ Second-order three-scale asymptotic analysis and algorithms for Steklov eigenvalue problems in composite domain with hierarchical cavities ⋮ Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates ⋮ An adaptive composite discontinuous Galerkin method for elliptic problems on complicated domains with discontinuous coefficients ⋮ Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method ⋮ An assessment of multiscale asymptotic expansion method for linear static problems of periodic composite structures ⋮ Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction ⋮ Multiscale numerical algorithms for elastic wave equations with rapidly oscillating coefficients ⋮ Multiscale Computation and Convergence for Coupled Thermoelastic System in Composite Materials

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