4.5 Article

Second-order homogenization of periodic materials based on asymptotic approximation of the strain energy: formulation and validity limits

Related references

Note: Only part of the references are listed.
Article Mechanics

Second-gradient homogenized model for wave propagation in heterogeneous periodic media

A. Bacigalupo et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2014)

Article Mechanics

A micromechanics-based approach for the derivation of constitutive elastic coefficients of strain-gradient media

Thu-Huong Tran et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2012)

Article Mechanics

Long wavelength inner-resonance cut-off frequencies in elastic composite materials

J. -L. Auriault et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2012)

Article Multidisciplinary Sciences

High-frequency asymptotics for microstructured thin elastic plates and platonics

T. Antonakakis et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2012)

Article Engineering, Multidisciplinary

NON-LOCAL COMPUTATIONAL HOMOGENIZATION OF PERIODIC MASONRY

Andrea Bacigalupo et al.

INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING (2011)

Article Mathematics, Interdisciplinary Applications

Homogenization of spectral problems in bounded domains with doubly high contrasts

Valery Smyshlyaev et al.

Networks and Heterogeneous Media (2011)

Article Multidisciplinary Sciences

High-frequency homogenization for periodic media

R. V. Craster et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2010)

Article Mathematics, Applied

Second-order computational homogenization of heterogeneous materials with periodic microstructure

Andrea Bacigalupo et al.

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2010)

Article Materials Science, Multidisciplinary

Propagation and localization of elastic waves in highly anisotropic periodic composites via two-scale homogenization

Valery P. Smyshlyaev

MECHANICS OF MATERIALS (2009)

Article Engineering, Multidisciplinary

Scale transition and enforcement of RVE boundary conditions in second-order computational homogenization

Lukasz Kaczmarczyk et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2008)

Article Mathematics, Interdisciplinary Applications

Multiscale modeling of elastic waves: Theoretical justification and numerical simulation of band gaps

A. Avila et al.

MULTISCALE MODELING & SIMULATION (2008)

Article Mechanics

A micromechanical approach of nonlocal modeling for media with periodic microstructures

Xi Yuan et al.

MECHANICS RESEARCH COMMUNICATIONS (2008)

Article Multidisciplinary Sciences

Higher order asymptotic homogenization and wave propagation in periodic composite materials

Igor V. Andrianov et al.

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2008)

Article Engineering, Multidisciplinary

Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy

VG Kouznetsova et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2004)

Article Engineering, Multidisciplinary

Computational Evaluation of Strain Gradient Elasticity Constants

R. H. J. Peerlings et al.

INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING (2004)

Article Engineering, Multidisciplinary

Multi-scale constitutive modelling of heterogeneous materials with a gradient-enhanced computational homogenization scheme

V Kouznetsova et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2002)

Article Engineering, Mechanical

Higher-order homogenization of initial/boundary-value problem

J Fish et al.

JOURNAL OF ENGINEERING MECHANICS-ASCE (2001)

Article Materials Science, Multidisciplinary

On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media

VP Smyshlyaev et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2000)