Microstructural effects in elastic composites
From MaRDI portal
Publication:1388656
DOI10.1016/0020-7683(95)00089-5zbMath0920.73282OpenAlexW2078607499WikidataQ126635651 ScholiaQ126635651MaRDI QIDQ1388656
Publication date: 12 August 1999
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7683(95)00089-5
homogenization methodlocalization phenomenonperiodically stratified compositesgeneralization of second gradient theorykinematic criterion
Inhomogeneity in solid mechanics (74E05) Micromechanics of solids (74M25) Composite and mixture properties (74E30) Micromechanical theories (74A60)
Related Items (75)
A second-order reduced multiscale approach for non-linear axisymmetric structures with periodic configurations ⋮ Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case ⋮ Non-local dispersive model for wave propagation in heterogeneous media: multi-dimensional case ⋮ Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme ⋮ A high-order three-scale reduced homogenization for nonlinear heterogeneous materials with multiple configurations ⋮ Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior ⋮ Chiral Cosserat homogenized constitutive models of architected media based on micromorphic homogenization ⋮ Homogenization in non-linear dynamics due to frictional contact ⋮ The thermodynamics of gradient elastoplasticity ⋮ A micromechanical approach for the Cosserat modeling of composites ⋮ On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm ⋮ Willis elastodynamic homogenization theory revisited for periodic media ⋮ On the second-order homogenization of wave motion in periodic media and the sound of a chessboard ⋮ Homogenization of periodic graph-based elastic structures ⋮ Mechanics of an elastic solid reinforced with bidirectional fiber in finite plane elastostatics: complete analysis ⋮ Multiscale analysis of composite structures based on higher-order asymptotic homogenization with boundary layer correction ⋮ A Cosserat multiparticle model for periodically layered materials ⋮ A numerical approach for the establishment of strain gradient constitutive relations in periodic heterogeneous materials ⋮ Continuous and discrete models for masonry like material: a critical comparative study ⋮ On asymptotic elastodynamic homogenization approaches for periodic media ⋮ Mechanics of third-gradient continua reinforced with fibers resistant to flexure in finite plane elastostatics ⋮ Laplace-domain, high-order homogenization for transient dynamic response of viscoelastic composites ⋮ Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model ⋮ Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua ⋮ Computational homogenization of higher‐order continua ⋮ Hierarchical modeling of heterogeneous structures driven by a modeling error estimator ⋮ A micromechanical approach of nonlocal modeling for media with periodic microstructures ⋮ Higher order asymptotic homogenization and wave propagation in periodic composite materials ⋮ Inverse Hooke's law and complementary strain energy in coupled strain gradient elasticity ⋮ Generalized inner bending continua for linear fiber reinforced materials ⋮ Effective heat conductivity of a composite with hexagonal lattice of perfectly conducting circular inclusions: An analytical solution ⋮ A fast numerical method for the conductivity of heterogeneous media with Dirichlet boundary conditions based on discrete sine-cosine transforms ⋮ Computational two-scale homogenization of periodic masonry: characteristic lengths and dispersive waves ⋮ Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies ⋮ Second gradient homogenization of multilayered composites based on the method of oscillating functions ⋮ A high order homogenization model for transient dynamics of heterogeneous media including micro-inertia effects ⋮ Homogenized elastic response of random fiber networks based on strain gradient continuum models ⋮ Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms ⋮ Linear theory for the mechanics of third-gradient continua reinforced with fibers resistance to flexure ⋮ Finite volume based asymptotic homogenization theory for periodic materials under anti-plane shear ⋮ An adaptive multiscale resolution strategy for the finite deformation analysis of microheterogeneous structures ⋮ Modeling plastic shocks in periodic laminates with gradient plasticity theories ⋮ On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media ⋮ Determination of closed form expressions of the second-gradient elastic moduli of multi-layer composites using the periodic unfolding method ⋮ Nonlocal approaches to the dynamics of metamaterials ⋮ FFT-Based Solution Schemes for the Unit Cell Problem in Periodic Homogenization of Magneto-Elastic Coupling ⋮ Justification of the asymptotic expansion method for homogeneous isotropic beams by comparison with de Saint-Venant's solutions ⋮ Multiphase approach as a generalized homogenization procedure for modelling the macroscopic behaviour of soils reinforced by linear inclusions ⋮ Characterization of hybrid piezoelectric nanogenerators through asymptotic homogenization ⋮ Non-local constitutive response of a random laminate subjected to configuration-dependent body force ⋮ Full Two-Scale Asymptotic Expansion and Higher-Order Constitutive Laws in the Homogenization of the System of Quasi-static Maxwell Equations ⋮ Hashin-Shtrikman based FE analysis of the elastic behaviour of finite random composite bodies ⋮ A novel second-order reduced homogenization approach for nonlinear thermo-mechanical problems of axisymmetric structures with periodic micro-configurations ⋮ Green's functions and integral representation of generalized continua: the case of orthogonal pantographic lattices ⋮ Non-local effective relations for fibre-reinforced composites loaded by configuration-dependent body forces ⋮ Strain gradient and generalized continua obtained by homogenizing frame lattices ⋮ A quantitative assessment of the scale separation limits of classical and higher-order asymptotic homogenization ⋮ Second-order homogenisation of functionally graded materials ⋮ Strain gradient elastic homogenization of bidimensional cellular media ⋮ Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits ⋮ Direct numerical simulations in solid mechanics for understanding the macroscale effects of microscale material variability ⋮ Generalized continua and non-homogeneous boundary conditions in homogenisation methods ⋮ A high-order three-scale reduced asymptotic approach for thermo-mechanical problems of nonlinear heterogeneous materials with multiple spatial scales ⋮ An assessment of multiscale asymptotic expansion method for linear static problems of periodic composite structures ⋮ Locally exact asymptotic homogenization of periodic materials under anti-plane shear loading ⋮ Hyperelastic homogenized law for reinforced elastomer at finite strain with edge effects ⋮ Effective properties of elastic periodic composite media with fibers ⋮ Non-Local Models of Stress Field Concentrations and Effective Thermoelastic Properties of Random Structure Composites ⋮ Multiphase continuum models for fiber-reinforced materials ⋮ Macrohomogeneity condition for strain gradient homogenization of periodic heterogeneous media with interfacial strong discontinuities ⋮ Bounds on non-local effective relations for random composites loaded by configuration-dependent body force ⋮ Space-time multiscale model for wave propagation in heterogeneous media ⋮ Generalized Continuum Modelling of Crystal Plasticity ⋮ Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis ⋮ On two elastodynamic homogenization methods for periodic composites
This page was built for publication: Microstructural effects in elastic composites