A Green operator-based elastic modeling for two-phase pantographic-inspired bi-continuous materials
暂无分享,去创建一个
[1] Ivan Giorgio,et al. Pantographic lattices with non-orthogonal fibres: Experiments and their numerical simulations , 2017 .
[2] Ivan Giorgio,et al. Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures , 2016 .
[3] E. Barchiesi,et al. Variational asymptotic homogenization of beam-like square lattice structures , 2019, Mathematics and Mechanics of Solids.
[4] A. Misra,et al. Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics , 2015 .
[5] Pierre Seppecher,et al. Linear elastic trusses leading to continua with exotic mechanical interactions , 2011 .
[6] Francesco dell’Isola,et al. Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence , 2015 .
[7] W. Müller,et al. Computation and experimental comparison of the deformation behavior of pantographic structures with different micro-geometry under shear and torsion , 2019, Journal of Theoretical and Applied Mechanics.
[8] Luc Salvo,et al. In situ investigation by X-ray tomography of the overall and local microstructural changes occurring during partial remelting of an Al–15.8 wt.% Cu alloy , 2007 .
[9] V. Eremeyev,et al. On the correspondence between two- and three-dimensional Eshelby tensors , 2019, Continuum Mechanics and Thermodynamics.
[10] Leon M Keer,et al. A review of recent works on inclusions , 2013 .
[11] F. Sidoroff,et al. Elastic-plastic homogenization for layered composites , 2000 .
[12] M. Brun,et al. Thermoelastic effective properties and stress concentrator factors of composites reinforced by heterogeneities of noncanonical shape , 2012 .
[13] A. Zaoui,et al. Morphologically representative pattern-based bounding in elasticity , 1996 .
[14] Fulvio Tonon,et al. Three-dimensional Green's functions in anisotropic piezoelectric solids , 2000 .
[15] S. Mulay,et al. Multi-scale approach based constitutive modelling of plain woven textile composites , 2017 .
[16] G. Rosi,et al. Analytical Solutions of 2-dimensional Second Gradient Linear Elasticity for Continua with Cubic-D4 Microstructure , 2019, Advanced Structured Materials.
[17] Victor A. Eremeyev,et al. On the material symmetry group for micromorphic media with applications to granular materials , 2018, Mechanics Research Communications.
[18] Stelios Kyriakides,et al. Compressive response of open-cell foams. Part I: Morphology and elastic properties , 2005 .
[19] L. Walpole. Elastic Behavior of Composite Materials: Theoretical Foundations , 1981 .
[20] J. Willis,et al. The effect of spatial distribution on the effective behavior of composite materials and cracked media , 1995 .
[21] J. Willis. Interfacial Stresses Induced by Arbitrary Loading of Dissimilar Elastic Half-spaces Joined Over a Circular Region , 1971 .
[22] P. Franciosi. Mean and axial green and Eshelby tensors for an inclusion with finite cylindrical 3D shape , 2014 .
[23] E. Kröner. Modified Green Functions in the Theory of Heterogeneous and/or Anisotropic Linearly Elastic Media , 1990 .
[24] F. dell’Isola,et al. Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium , 2016, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[25] D. M. Barnett,et al. Dislocations and line charges in anisotropic piezoelectric insulators , 1975 .
[26] P. Franciosi,et al. Laminate system schemes for effective property estimates of architectured composites with co-(dis)continuous phases , 2012 .
[27] G. Lormand,et al. Using the radon transform to solve inclusion problems in elasticity , 2004 .
[28] Ivan Giorgio,et al. Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model , 2017 .
[29] V. Eremeyev,et al. On Finite Element Computations of Contact Problems in Micropolar Elasticity , 2016 .
[30] R. Christensen. Isotropic properties of platelet-reinforced media , 1979 .
[31] P. Franciosi. A decomposition method for obtaining global mean Green operators of inclusions patterns. Application to parallel infinite beams in at least transversally isotropic media , 2018, International Journal of Solids and Structures.
[32] Antonio Cazzani,et al. Large deformations induced in planar pantographic sheets by loads applied on fibers: Experimental validation of a discrete Lagrangian model , 2016 .
[33] E. Barchiesi,et al. First experimental observation of the dynamical behavior of a pantographic metamaterial , 2018, Mechanics Research Communications.
[34] R. Brenner,et al. Mechanics of Materials and Structures EFFECTIVE PROPERTY ESTIMATES FOR HETEROGENEOUS MATERIALS WITH COCONTINUOUS PHASES , 2011 .
[35] V. Buryachenko,et al. Multiparticle Effective Field and Related Methods in Micromechanics of Composite Materials , 2001 .
[36] R. Hill. The Elastic Behaviour of a Crystalline Aggregate , 1952 .
[37] J. Kinney,et al. An orientation distribution function for trabecular bone. , 2005, Bone.
[38] S. Shtrikman,et al. A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .
[39] Luca Placidi,et al. A review on 2D models for the description of pantographic fabrics , 2016 .
[40] V. Eremeyev. On Equilibrium of a Second-Gradient Fluid Near Edges and Corner Points , 2016 .
[41] Edward J. Garboczi,et al. Elastic properties of model random three-dimensional open-cell solids , 2002 .
[42] P. Franciosi,et al. Anisotropy features of phase and particle spatial pair distributions in various matrix/inclusions structures , 2004 .
[43] A. Misra,et al. A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results , 2018, Mathematics and Mechanics of Complex Systems.
[44] E. Turco,et al. Non-standard coupled extensional and bending bias tests for planar pantographic lattices. Part I: numerical simulations , 2016 .
[45] Patrick Franciosi,et al. Mean Green operators of deformable fiber networks embedded in a compliant matrix and property estimates , 2019 .
[46] F. Natterer. The Mathematics of Computerized Tomography , 1986 .
[47] I. Giorgio,et al. Material characterization and computations of a polymeric metamaterial with a pantographic substructure , 2018, Zeitschrift für angewandte Mathematik und Physik.
[48] A. Ramm,et al. The RADON TRANSFORM and LOCAL TOMOGRAPHY , 1996 .
[49] K. P. Walker,et al. Gauss integration applied to a Green's function formulation for cylindrical fiber composites , 1997 .
[50] P. Franciosi. Transversally isotropic Magneto-Electro-Elastic composites with co-(dis) continuous phases , 2013 .
[51] W. Voigt. Ueber die Beziehung zwischen den beiden Elasticitätsconstanten isotroper Körper , 1889 .
[52] G. W. Postma. Wave propagation in a stratified medium , 1955 .
[53] P. Franciosi. The boundary-due terms in the Green operator of inclusion patterns from distant to contact and to connected situations using radon transforms: Illustration for spheroid alignments in isotropic media , 2010 .
[54] M. Guessasma,et al. A numerical investigation of effective thermoelastic properties of interconnected alumina/Al composites using FFT and FE approaches , 2016 .
[55] E. Kröner. Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls , 1958 .
[56] John Evans,et al. Bi-continuous metal matrix composites , 2001 .
[57] Luca Placidi,et al. A Review on Models for the 3D Statics and 2D Dynamics of Pantographic Fabrics , 2017 .
[58] Roman Grygoruk,et al. Out-of-plane buckling of pantographic fabrics in displacement-controlled shear tests: experimental results and model validation , 2019 .
[59] Tomasz Lekszycki,et al. On the effect of shear stiffness on the plane deformation of linear second gradient pantographic sheets , 2016 .
[60] Y. Charles,et al. Effective property estimates for n-phase composites with from all to none co-continuous phases , 2016 .
[61] Y. Charles,et al. Analytical mean Green operators/Eshelby tensors for patterns of coaxial finite long or flat cylinders in isotropic matrices , 2015 .
[62] Y. Charles,et al. Mean Green operators and Eshelby tensors for hemispherical inclusions and hemisphere interactions in spheres. Application to bi-material spherical inclusions in isotropic spaces , 2016 .
[63] Jaan-Willem Simon,et al. The effect of fiber misalignment on the homogenized properties of unidirectional fiber reinforced composites , 2016 .
[64] P. Franciosi,et al. Effective properties of fiber and platelet systems and related phase arrangements in n-phase heterogenous media , 2011 .
[65] J. Willis,et al. THE OVERALL ELASTIC MODULI OF A DILUTE SUSPENSION OF SPHERES , 1976 .
[66] J. Lacaze,et al. Cold compaction of iron powders—relations between powder morphology and mechanical properties: Part I: Powder preparation and compaction , 2002 .
[67] R. Lackner,et al. Consideration of arbitrary inclusion shapes in the framework of isotropic continuum micromechanics: The replacement Eshelby tensor approach , 2018, Mechanics of Materials.
[68] J. Dam,et al. On the mechanical properties of co-continuous polymer blends: experimental and modelling , 2000 .
[69] P. Peyre,et al. The macroscopic behavior of pantographic sheets depends mainly on their microstructure: experimental evidence and qualitative analysis of damage in metallic specimens , 2019, Continuum Mechanics and Thermodynamics.
[70] Francesco dell’Isola,et al. First versus second gradient energies for planar sheets with two families of inextensible fibres: Investigation on deformation boundary layers, discontinuities and geometrical instabilities , 2017 .
[71] Pierre Seppecher,et al. Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients , 2003 .
[72] Rodney Hill,et al. Continuum micro-mechanics of elastoplastic polycrystals , 1965 .
[73] Francesco dell’Isola,et al. Linear pantographic sheets: Asymptotic micro-macro models identification , 2017 .
[74] Ivan Giorgio,et al. In plane shear and bending for first gradient inextensible pantographic sheets: numerical study of deformed shapes and global constraint reactions , 2017 .
[75] Pierre Seppecher,et al. A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium , 1997 .
[76] Ivan Giorgio,et al. Numerical identification of constitutive parameters in reduced-order bi-dimensional models for pantographic structures: application to out-of-plane buckling , 2019, Archive of Applied Mechanics.
[77] Ivan Giorgio,et al. Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis , 2017, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[78] E. Barchiesi,et al. Wave dispersion in non-linear pantographic beams , 2018, Mechanics research communications.
[79] J. D. Eshelby. The determination of the elastic field of an ellipsoidal inclusion, and related problems , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[80] Francesco dell’Isola,et al. Qualitative pivot damage analysis in aluminum printed pantographic sheets: Numerics and experiments , 2017 .
[81] Tomasz Lekszycki,et al. A Ritz approach for the static analysis of planar pantographic structures modeled with nonlinear Euler–Bernoulli beams , 2018 .
[82] A. Reuss,et al. Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle . , 1929 .
[83] Francesco dell’Isola,et al. Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies , 2017 .
[84] T. W. Clyne,et al. Mechanical and magnetic properties of metal fibre networks, with and without a polymeric matrix , 2005 .
[85] Rudolf Zeller,et al. Elastic Constants of Polycrystals , 1973 .
[86] P. Seppecher,et al. Edge Contact Forces and Quasi-Balanced Power , 1997, 1007.1450.
[87] M. Berveiller,et al. The problem of two plastic and heterogeneous inclusions in an anisotropic medium , 1987 .
[88] Ivan Giorgio,et al. Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations , 2016 .
[89] P. Franciosi. On the modified Green operator integral for polygonal, polyhedral and other non-ellipsoidal inclusions , 2005 .