On some aspects in the special theory of gradient elasticity, Journal of the Mechanical Behavior of Materials, vol.8, issue.3, pp.231-282, 1997. ,
On the structure of the mode III crack-tip in gradient elasticity, Scripta Metallurgica et Materialia, vol.26, issue.2, pp.319-324, 1992. ,
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results, International Journal of Solids and Structures, vol.48, issue.13, pp.1962-1990, 2011. ,
A new approach to the application of Mori-Tanaka's theory in composite materials, Mechanics of Materials, vol.6, issue.2, pp.147-157, 1987. ,
Mindlin's micro-structural and gradient elasticity theories and their thermodynamics, Journal of Elasticity, pp.1-46, 2016. ,
Eringen's stress gradient model for bending of nonlocal beams, Journal of Engineering Mechanics, vol.142, issue.12, p.4016095, 2016. ,
Nonlocal or gradient elasticity macroscopic models: A question of concentrated or distributed microstructure, Mechanics Research Communications, vol.71, pp.25-31, 2016. ,
Théorie des corps déformables. A. Hermann et fils, 1909. ,
Size effects in a silica-polystyrene nanocomposite: Molecular dynamics and surface-enhanced continuum approaches, Soft Materials, vol.12, issue.sup1, pp.142-151, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01201924
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, vol.54, issue.9, pp.4703-4710, 1983. ,
Microcontinuum field theories. Vol. I. Foundations and Solids, 1999. ,
Nonlocal continuum field theories, 2002. ,
The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proceedings of the Royal Society of London. Series A, vol.241, pp.376-396, 1226. ,
Some links between recent gradient thermoelasto-plasticity theories and the thermomechanics of generalized continua, International Journal of Solids and Structures, vol.47, pp.3367-3376, 2010. ,
Asymptotic analysis of heterogeneous cosserat media, International Journal of Solids and Structures, vol.38, pp.4585-4608, 2001. ,
Stress gradient continuum theory. Mechanics Research, Communications, vol.40, pp.16-25, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00697585
Finite-deformation second order micromorphic theory and its relations to strain and stress gradient models. Mathematics and Mechanics of SolidsAvailable online, 2017. ,
Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem, International Journal of Solids and Structures, vol.44, pp.7486-7499, 2007. ,
Application of variational concepts to size effects in elastic heterogeneous bodies, Journal of the Mechanics and Physics of Solids, vol.38, issue.6, pp.813-841, 1990. ,
Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, pp.3647-3679, 2003. ,
A bending-gradient model for thick plates. Part I: Theory, International Journal of Solids and Structures, vol.48, issue.20, pp.2878-2888, 2011. ,
On the generalization of Reissner plate theory to laminated plates, part I: Theory, Journal of Elasticity, vol.126, issue.1, pp.39-66, 2017. ,
On the generalization of Reissner plate theory to laminated plates, part II: Comparison with the bending-gradient theory, Journal of Elasticity, vol.126, issue.1, pp.67-94, 2017. ,
A new homogenization method based on a simplified strain gradient elasticity theory, Acta Mechanica, vol.225, issue.4-5, pp.1075-1091, 2014. ,
Mathematical foundations of elasticity, 1994. ,
Second gradient of strain and surface-tension in linear elasticity, International Journal of Solids and Structures, vol.1, issue.4, pp.417-438, 1965. ,
On first strain-gradient theories in linear elasticity, International Journal of Solids and Structures, vol.4, issue.1, pp.109-124, 1968. ,
Micro-structure in linear elasticity, Archive for Rational Mechanics and Analysis, vol.16, issue.1, pp.51-78, 1964. ,
Inversion of higher order isotropic tensors with minor symmetries and solution of higher order heterogeneity problems, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, vol.467, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00687817
Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, pp.571-574, 1973. ,
The thickness of shear bands in granular materials, Géotechnique, vol.37, issue.3, pp.271-283, 1987. ,
Modeling of the mechanical properties of nanoparticle/polymer composites, Polymer, vol.46, issue.2, pp.553-562, 2005. ,
Material spatial randomness: From statistical to representative volume element, Probabilistic Engineering Mechanics, vol.21, issue.2, pp.112-132, 2006. ,
Stress gradient versus strain gradient constitutive models within elasticity, International Journal of Solids and Structures, vol.51, issue.9, pp.1809-1818, 2014. ,
Variational formulations and extra boundary conditions within stress gradient elasticity theory with extensions to beam and plate models, International Journal of Solids and Structures, vol.80, pp.405-419, 2016. ,
Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science, vol.45, issue.2, pp.288-307, 2007. ,
On the homogenization and the simulation of random materials, European Journal of Mechanics -A/Solids, vol.11, issue.5, pp.585-607, 1992. ,
Stress gradient elasticity theory: Existence and uniqueness of solution, Journal of Elasticity, vol.123, issue.2, pp.179-201, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01288563
Average elastic fields and scale-dependent overall properties of heterogeneous micropolar materials containing spherical and cylindrical inhomogeneities, Physical Review B, vol.66, p.224110, 2002. ,
On the correction for shear of the differential equation for transverse vibrations of prismatic bars. The London, Edinburgh, and Dublin Philosophical Magazine and, Journal of Science, vol.41, issue.245, pp.744-746, 1921. ,
Inclusions and inhomogeneities in strain gradient elasticity with couple stresses and related problems, International Journal of Solids and Structures, vol.42, issue.13, pp.3833-3851, 2005. ,
A reformulation of constitutive relations in the strain gradient elasticity theory for isotropic materials, International Journal of Solids and Structures, vol.80, pp.28-37, 2016. ,