相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。From particle mechanics to micromorphic media. Part I: Homogenisation of discrete interactions towards stress quantities
Wolfgang Ehlers et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2020)
Effective Description of Anisotropic Wave Dispersion in Mechanical Band-Gap Metamaterials via the Relaxed Micromorphic Model
Marco Valerio d'Agostino et al.
JOURNAL OF ELASTICITY (2020)
Micromorphic computational homogenization for mechanical metamaterials with patterning fluctuation fields
O. Rokos et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2019)
Convergence and error analysis of FE-HMM/FE2 for energetically consistent micro-coupling conditions in linear elastic solids
Andreas Fischer et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2019)
On the micro-macro relation for the microdeformation in the homogenization towards micromorphic and micropolar continua
Geralf Huetter
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2019)
Microstructure-related Stoneley waves and their effect on the scattering properties of a 2D Cauchy/relaxed-micromorphic interface
Alexios Aivaliotis et al.
WAVE MOTION (2019)
Relaxed micromorphic model of transient wave propagation in anisotropic band-gap metastructures
Gabriele Barbagallo et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2019)
The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE2 method
Bernhard Eidel et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2018)
A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditions
Ionel-Dumitrel Ghiba et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2017)
Transparent anisotropy for the relaxed micromorphic model: Macroscopic consistency conditions and long wave length asymptotics
Gabriele Barbagallo et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2017)
Homogenization and Materials Design of Anisotropic Multiphase Linear Elastic Materials Using Central Model Functions
Mauricio Lobos et al.
JOURNAL OF ELASTICITY (2017)
A micromorphic computational homogenization framework for heterogeneous materials
R. Biswas et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2017)
Homogenization of a Cauchy continuum towards a micromorphic continuum
Geralf Huetter
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2017)
Real wave propagation in the isotropic-relaxed micromorphic model
Patrizio Neff et al.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES (2017)
The modified indeterminate couple stress model: Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless
Ingo Muench et al.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2017)
DEV-DIV- AND DEVSYM-DEVCURL-INEQUALITIES FOR INCOMPATIBLE SQUARE TENSOR FIELDS WITH MIXED BOUNDARY CONDITIONS
Sebastian Bauer et al.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2016)
DEV-DIV- AND DEVSYM-DEVCURL-INEQUALITIES FOR INCOMPATIBLE SQUARE TENSOR FIELDS WITH MIXED BOUNDARY CONDITIONS
Sebastian Bauer et al.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2016)
Complete band gaps including non-local effects occur only in the relaxed micromorphic model
Angela Madeo et al.
COMPTES RENDUS MECANIQUE (2016)
Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum
A. Sridhar et al.
COMPUTATIONAL MECHANICS (2016)
Micromorphic continua: non-redundant formulations
Giovanni Romano et al.
CONTINUUM MECHANICS AND THERMODYNAMICS (2016)
A new view on boundary conditions in the Grioli-Koiter-Mindlin-Toupin indeterminate couple stress model
Angela Madeo et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2016)
Reflection and transmission of elastic waves in non-local band-gap metamaterials: A comprehensive study via the relaxed micromorphic model
Angela Madeo et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2016)
Poincare meets Korn via Maxwell: Extending Korn's first inequality to incompatible tensor fields
Patrizio Neff et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2015)
THE RELAXED LINEAR MICROMORPHIC CONTINUUM: WELL-POSEDNESS OF THE STATIC PROBLEM AND RELATIONS TO THE GAUGE THEORY OF DISLOCATIONS
P. Neff et al.
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS (2015)
The relaxed linear micromorphic continuum: Existence, uniqueness and continuous dependence in dynamics
Ionel-Dumitrel Ghiba et al.
MATHEMATICS AND MECHANICS OF SOLIDS (2015)
Band gaps in the relaxed linear micromorphic continuum
Angela Madeo et al.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2015)
A unifying perspective: the relaxed linear micromorphic continuum
Patrizio Neff et al.
CONTINUUM MECHANICS AND THERMODYNAMICS (2014)
Large scale modulation of high frequency waves in periodic elastic composites
Claude Boutin et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2014)
Transient computational homogenization for heterogeneous materials under dynamic excitation
K. Pham et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2013)
EVALUATION OF GENERALIZED CONTINUUM SUBSTITUTION MODELS FOR HETEROGENEOUS MATERIALS
Duy Khanh Trinh et al.
INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING (2012)
Maxwell meets Korn: A new coercive inequality for tensor fields in RNxN with square-integrable exterior derivative
Patrizio Neff et al.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2012)
Generalized continua and non-homogeneous boundary conditions in homogenisation methods [Plenary lecture presented at the 81st Annual GAMM Conference, Karlsruhe, 25 March 2010]
Samuel Forest et al.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2011)
Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvature
Patrizio Neff et al.
ACTA MECHANICA (2010)
Two-scale modelling of micromorphic continua
Ralf Jaenicke et al.
CONTINUUM MECHANICS AND THERMODYNAMICS (2009)
Subgrid interaction and micro-randomness - Novel invariance requirements in infinitesimal gradient elasticity
Patrizio Neff et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2009)
Derivation of anisotropic matrix for bi-dimensional strain-gradient elasticity behavior
N. Auffray et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2009)
Scale and Boundary Conditions Effects on the Apparent Elastic Moduli of Trabecular Bone Modeled as a Periodic Cellular Solid
Congyu Wang et al.
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME (2009)
Curl bounds grad on SO(3)
Patrizio Neff et al.
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2008)
A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results
Patrizio Neff et al.
JOURNAL OF ELASTICITY (2007)
Analysis of a heterogeneous multiscale FEM for problems in elasticity
A Abdulle
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES (2006)
Existence of minimizers for a finite-strain micromorphic elastic solid
Patrizio Neff
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2006)
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)
Stress and couple stress in foams
S Diebels et al.
COMPUTATIONAL MATERIALS SCIENCE (2003)
Determination of the size of the representative volume element for random composites: statistical and numerical approach
T Kanit et al.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2003)
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)
A micromechanically based couple-stress model of an elastic orthotropic two-phase composite
F Bouyge et al.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2002)
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)