Strain gradient and generalized continua obtained by homogenizing frame lattices
type: Item
instance of: scholarly article
title: Strain gradient and generalized continua obtained by homogenizing frame lattices
zbMATH Open document ID: 1403.35028
author: Houssam Abdoul-Anziz
author: Pierre Seppecher
published in: Mathematics and Mechanics of Complex Systems
publication date: 2018-10-01T00:00:00Z
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 74Q05
Mathematics Subject Classification ID: 78M40
zbMATH DE Number: 6945829
zbMATH Keywords: generalized continua
zbMATH Keywords: \(\Gamma\)-convergence
zbMATH Keywords: periodic structures
zbMATH Keywords: Timoshenko beam
zbMATH Keywords: Mindlin-Reissner plate
MaRDI profile type: Publication
full work available at URL: memocs.2018.6.213
OpenAlex ID: W2777647218
cites work: Homogenization of periodic graph-based elastic structures
cites work: On the role of gradients in the localization of deformation and fracture
cites work: Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proof
cites work: Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
cites work: Homogenization and Two-Scale Convergence
cites work: A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures
cites work: On the linear theory of micropolar plates
cites work: Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior
cites work: Algebraic algorithms for the analysis of mechanical trusses
cites work: Homogenization of Stratified Elastic Composites with High Contrast
cites work: Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects
cites work: Asymptotic analysis of a linear isotropic elastic composite reinforced by a thin layer of periodically distributed isotropic parallel stiff fibres
cites work: Q4189539
cites work: Q4806012
cites work: Microstructural effects in elastic composites
cites work: Linear pantographic sheets: asymptotic micro-macro models identification
cites work: A micromechanically based couple-stress model of an elastic orthotropic two-phase composite.
cites work: Q4795300
cites work: Homogenization of two-dimensional elasticity problems with very stiff coefficients
cites work: CLOSURE OF THE SET OF DIFFUSION FUNCTIONALS WITH RESPECT TO THE MOSCO-CONVERGENCE
cites work: Determination of the closure of the set of elasticity functionals
cites work: Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials
cites work: Non-local homogenized limits for composite media with highly anisotropic periodic fibres
cites work: Homogenization of linearly elastic honeycombs
cites work: A homogenized model for honeycomb cellular materials
cites work: Edge contact forces and quasi-balanced power
cites work: At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
cites work: The postulations á la D’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results
cites work: Cauchy tetrahedron argument applied to higher contact interactions
cites work: Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives
cites work: Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures
cites work: Homogenization and equivalent in-plane properties of two-dimensional periodic lattices
cites work: Homogenization of hexagonal lattices
cites work: On the generalization of Reissner plate theory to laminated plates. I: Theory
cites work: Modeling and designing micro- and nano-structured metamaterials: Towards the application of exotic behaviors
cites work: HOMOGENIZATION OF MATERIALS WITH PERIODIC TRUSS OR FRAME MICRO-STRUCTURES
cites work: Mechanics of materials with periodic truss or frame micro-structures
cites work: Strain gradient plasticity modeling and finite element simulation of Lüders band formation and propagation
cites work: ELASTIC LIMIT OF SQUARE LATTICES WITH THREE-POINT INTERACTIONS
cites work: The Theory of Composites
cites work: Effects of couple-stresses in linear elasticity
cites work: A General Convergence Result for a Functional Related to the Theory of Homogenization
cites work: Q4004193
cites work: Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness
cites work: A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium
cites work: A review on 2D models for the description of pantographic fabrics
cites work: Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model
cites work: A thermodynamics-based formulation of gradient-dependent plasticity
cites work: Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices
cites work: Elastic lattices: equilibrium, invariant laws and homogenization
cites work: Non-homogeneous media and vibration theory
cites work: Second gradient poromechanics
cites work: The general theory of homogenization. A personalized introduction
cites work: Elastic materials with couple-stresses
cites work: Theories of elasticity with couple-stress
cites work: Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
cites work: Homogenization of elasticity problems on singular structures
cites work: Homogenization for elasticity problems on periodic networks of critical thickness
Wikidata QID: Q129183157
DOI: 10.2140/MEMOCS.2018.6.213