Estimation of material properties for linear elastic strain gradient effective media

DOI10.1016/j.euromechsol.2011.06.011zbMath1278.74145OpenAlexW2026128078MaRDI QIDQ388412

Uwe Mühlich, Lutz Zybell, Meinhard Kuna

Publication date: 19 December 2013

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2011.06.011

zbMATH Keywords

estimateshomogenizationboundsstrain gradient elasticitygeneralized continua

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30)

Related Items (10)

On the isotropic moduli of 2D strain-gradient elasticity ⋮ Micromorphic homogenization of a porous medium: elastic behavior and quasi-brittle damage ⋮ A first-order strain gradient damage model for simulating quasi-brittle failure in porous elastic solids ⋮ Geometrically nonlinear higher-gradient elasticity with energetic boundaries ⋮ A novel phase‐field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable ⋮ Characterization of hybrid piezoelectric nanogenerators through asymptotic homogenization ⋮ Euromech 579, Arpino 3--8 April 2017: ``Generalized and microstructured continua: new ideas in modeling and/or applications to structures with (nearly)inextensible fibers -- a review of presentations and discussions ⋮ Asymptotic homogenization approach for anisotropic micropolar modeling of periodic Cauchy materials ⋮ Computation of brittle fracture propagation in strain gradient materials by the FEniCS library ⋮ Analytical applications and effective properties of a second gradient isotropic elastic material model

Uses Software

• ABAQUS

Cites Work

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• Size effects in two-dimensional Voronoi foams: A comparison between generalized continua and discrete models
• Strain gradient elastic homogenization of bidimensional cellular media
• Constitutive equations for porous plane-strain gradient elasticity obtained by homogenization
• A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
• Cosserat overall modeling of heterogeneous materials
• Elastic moduli of perfectly disordered composite materials
• On first strain-gradient theories in linear elasticity
• Nonlocal Continuum Field Theories
• Second‐order computational homogenization of heterogeneous materials with periodic microstructure
• EIGENTENSORS OF LINEAR ANISOTROPIC ELASTIC MATERIALS
• Fourth-order cartesian tensors: old and new facts, notions and applications
• Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization
• Homogenization methods and mechanics of generalized continua - part 2
• Microcontinuum Field Theories

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