Homogenization and materials design of anisotropic multiphase linear elastic materials using central model functions

DOI10.1007/s10659-016-9615-0zbMath1373.74084OpenAlexW2568893564WikidataQ59890231 ScholiaQ59890231MaRDI QIDQ1679578

Thomas Böhlke, Mauricio Lobos, Tunc Yuzbasioglu

Publication date: 9 November 2017

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-016-9615-0

zbMATH Keywords

compositestexturematerials designorientation averageeffective anisotropic properties

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Bounds on effective properties in solid mechanics (74Q20) Effective constitutive equations in solid mechanics (74Q15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Compliance or weight optimization in solid mechanics (74P05) Canonical forms, reductions, classification (15A21)

Related Items (9)

Representation of Hashin-Shtrikman bounds in terms of texture coefficients for arbitrarily anisotropic polycrystalline materials ⋮ Crystallographic texture and group representations ⋮ Efficient two-scale simulations of engineering structures using the Hashin-Shtrikman type finite element method ⋮ A micro‐mechanically motivated phenomenological yield function for cubic crystal aggregates ⋮ Identification of scale-independent material parameters in the relaxed micromorphic model through model-adapted first order homogenization ⋮ On the orientation average based on central orientation density functions for polycrystalline materials ⋮ Effective elasticity tensors of fiber-reinforced composite materials with 2D or 3D fiber distribution coefficients ⋮ Model order reduction of nonlinear homogenization problems using a Hashin-Shtrikman type finite element method ⋮ Construction of a class of sharp Löwner majorants for a set of symmetric matrices

Cites Work

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