Heuristic Homogenization of Euler and Pantographic Beams
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[1] Victor A. Eremeyev,et al. On natural strain measures of the non-linear micropolar continuum , 2009 .
[2] 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 .
[3] Leopoldo Greco,et al. Wave propagation in pantographic 2D lattices with internal discontinuities , 2014, 1412.3926.
[4] Francesco dell’Isola,et al. Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena , 2008 .
[5] Francesco dell’Isola,et al. Qualitative pivot damage analysis in aluminum printed pantographic sheets: Numerics and experiments , 2017 .
[6] Tomasz Lekszycki,et al. Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients , 2015 .
[7] Ivan Giorgio,et al. Pantographic lattices with non-orthogonal fibres: Experiments and their numerical simulations , 2017 .
[8] A. Della Corte,et al. An explicit solution for the dynamics of a taut string of finite length carrying a traveling mass: the subsonic case , 2016 .
[9] A. Misra,et al. Thermomechanics-based nonlinear rate-dependent coupled damage-plasticity granular micromechanics model , 2015 .
[10] P. Neff,et al. First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model , 2016, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[11] E. Turco,et al. Non-standard coupled extensional and bending bias tests for planar pantographic lattices. Part I: numerical simulations , 2016 .
[12] A. Misra,et al. Higher-Order Stress-Strain Theory for Damage Modeling Implemented in an Element-free Galerkin Formulation , 2010 .
[13] Luca Placidi,et al. A Review on Models for the 3D Statics and 2D Dynamics of Pantographic Fabrics , 2017 .
[14] H. Altenbach,et al. On the linear theory of micropolar plates , 2009 .
[15] Francesco dell’Isola,et al. Fiber rupture in sheared planar pantographic sheets: Numerical and experimental evidence , 2016 .
[16] Ivan Giorgio,et al. Finite-Element Analysis of Polyhedra under Point and Line Forces in Second-Strain Gradient Elasticity , 2017 .
[17] Francesco dell’Isola,et al. Elastne kahemõõtmeline pantograafiline võre: Numbriline analüüs staatilisest tagasisidest ja lainelevist , 2015 .
[18] Francesco dell’Isola,et al. Buckling modes in pantographic lattices , 2016 .
[19] Pierre Seppecher,et al. Asymptotics of a non-planar rod in non-linear elasticity , 2006, Asymptot. Anal..
[20] Luca Placidi,et al. A second gradient formulation for a 2D fabric sheet with inextensible fibres , 2016 .
[21] Tomasz Lekszycki,et al. The influence of different geometries of matrix/scaffold on the remodeling process of a bone and bioresorbable material mixture with voids , 2017 .
[22] G. Rosi,et al. Band gaps in the relaxed linear micromorphic continuum , 2014, 1405.3493.
[23] Leonhard Euler. Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici latissimo sensu accepti , 2013, 1307.7187.
[24] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[25] Alessandro Della Corte,et al. Referential description of the evolution of a 2D swarm of robots interacting with the closer neighbors: Perspectives of continuum modeling via higher gradient continua , 2016 .
[26] Ivan Giorgio,et al. Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model , 2017 .
[27] E. Turco,et al. FREQUENCY SHIFTS INDUCED BY LARGE DEFORMATIONS IN PLANAR PANTOGRAPHIC CONTINUA , 2015 .
[28] Francesco dell’Isola,et al. Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models , 2016 .
[29] 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.
[30] Ugo Andreaus,et al. At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola , 2013, 1310.5599.
[31] M. Pulvirenti,et al. Macroscopic Description of Microscopically Strongly Inhomogenous Systems: A Mathematical Basis for the Synthesis of Higher Gradients Metamaterials , 2015, 1504.08015.
[32] A. Misra,et al. Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics* , 2020 .
[33] Francesco dell’Isola,et al. Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions , 2017, Journal of elasticity.
[34] 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 .
[35] Pierre Seppecher,et al. Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients , 2003 .
[36] Emilio Turco,et al. Pantographic structures presenting statistically distributed defects: Numerical investigations of the effects on deformation fields , 2016 .
[37] Francesco dell’Isola,et al. Linear pantographic sheets: Asymptotic micro-macro models identification , 2017 .
[38] Luca Placidi,et al. A microscale second gradient approximation of the damage parameter of quasi‐brittle heterogeneous lattices , 2014 .
[39] Francesco dell’Isola,et al. Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies , 2017 .
[40] Luca Placidi,et al. A review on 2D models for the description of pantographic fabrics , 2016 .
[41] Victor A. Eremeyev,et al. Strain gradient elasticity with geometric nonlinearities and its computational evaluation , 2015 .
[42] Tomasz Lekszycki,et al. A 2‐D continuum model of a mixture of bone tissue and bio‐resorbable material for simulating mass density redistribution under load slowly variable in time , 2014 .
[43] Dionisio Del Vescovo,et al. Dynamic problems for metamaterials: Review of existing models and ideas for further research , 2014 .
[44] Ivan Giorgio,et al. Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures , 2016 .
[45] A. Misra,et al. Micromechanical model for viscoelastic materials undergoing damage , 2013 .
[46] Luca Placidi,et al. An Inverse Method to Get Further Analytical Solutions for a Class of Metamaterials Aimed to Validate Numerical Integrations , 2017 .
[47] S. Müller,et al. A nonlinear model for inextensible rods as a low energy Γ-limit of three-dimensional nonlinear elasticity , 2004 .
[48] Francesco dell’Isola,et al. Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence , 2015 .
[49] Antonio Cazzani,et al. Large deformations induced in planar pantographic sheets by loads applied on fibers: Experimental validation of a discrete Lagrangian model , 2016 .
[50] P. Seppecher,et al. Cauchy Tetrahedron Argument Applied to Higher Contact Interactions , 2015, Archive for Rational Mechanics and Analysis.
[51] Alessandro Della Corte,et al. Second-gradient continua as homogenized limit of pantographic microstructured plates: a rigorous proof , 2015 .
[52] F. Murat,et al. Comportement asymptotique des solutions du système de l'élasticité linéarisée anisotrope hétérogène dans des cylindres minces* , 1999 .
[53] F. dell'Isola,et al. Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids , 2013, 1305.6744.
[54] Luca Placidi,et al. A variational approach for a nonlinear 1-dimensional second gradient continuum damage model , 2015 .
[55] G. Allaire. Homogenization and two-scale convergence , 1992 .
[56] Ivan Giorgio,et al. Pantographic 2D sheets: Discussion of some numerical investigations and potential applications , 2016 .
[57] Pierre Seppecher,et al. Linear elastic trusses leading to continua with exotic mechanical interactions , 2011 .
[58] W. Müller,et al. Theory and computation of higher gradient elasticity theories based on action principles , 2017 .
[59] Francesco dell’Isola,et al. Dynamics of 1D nonlinear pantographic continua , 2017 .
[60] S. Antman. Nonlinear problems of elasticity , 1994 .
[61] Francesco dell’Isola,et al. SHEARING TESTS APPLIED TO PANTOGRAPHIC STRUCTURES , 2016 .
[62] Leopoldo Greco,et al. Numerical investigation of a particle system compared with first and second gradient continua: Deformation and fracture phenomena* , 2017, 2004.10154.
[63] I. Giorgio,et al. A model for elastic flexoelectric materials including strain gradient effects , 2016 .
[64] Francesco dell’Isola,et al. Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices , 2015 .
[65] A. Misra,et al. Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity , 2012 .
[66] Ugo Andreaus,et al. Numerical simulation of the soft contact dynamics of an impacting bilinear oscillator , 2010 .
[67] Ivan Giorgio,et al. Modeling of the interaction between bone tissue and resorbable biomaterial as linear elastic materials with voids , 2015 .
[68] Luca Placidi,et al. Towards the Design of Metamaterials with Enhanced Damage Sensitivity: Second Gradient Porous Materials , 2014 .
[69] Ivan Giorgio,et al. Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations , 2016 .
[70] Francesco dell’Isola,et al. Plane bias extension test for a continuum with two inextensible families of fibers: A variational treatment with Lagrange multipliers and a perturbation solution , 2016 .
[71] Francesco dell’Isola,et al. Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives , 2017 .
[72] A. Misra,et al. Effect of asperity damage on shear behavior of single fracture , 2002 .
[73] Ivan Giorgio,et al. Extensional Elastica in large deformation as $$\Gamma $$Γ-limit of a discrete 1D mechanical system , 2017 .