Theories of elasticity with couple-stress, Archive for Rational Mechanics, Mechanics Research Communications, vol.17, issue.2, p.90, 1964. ,
Large deformations induced in planar pantographic sheets by loads applied on bers: 510 experimental validation of a discrete lagrangian model, Mechanics Research Communications, vol.76, p.5156, 2016. ,
Non-standard coupled extensional and bending bias tests for planar pantographic lattices. part i: numerical simulations, Zeitschrift für angewandte Mathematik und Physik, vol.515, issue.5, p.122, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01456148
, Pantographic structures presenting statistically distributed defects: numerical investigations of the eects on deformation elds, vol.77, p.6569, 2016.
King post truss as a motif 520 for internal structure of (meta) material with controlled elastic properties, Royal Society Open Science, vol.4, issue.10, 2017. ,
Enhanced piolahencky discrete models for pantographic sheets with pivots without deformation energy: Numerics and experiments, International Journal of 525 Solids and Structures, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01791894
A ritz approach for the static analysis of planar pantographic structures modeled with nonlinear eulerbernoulli beams, Continuum Mechanics and Thermodynamics, p.121, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02453436
Variational theory for spatial rods, Journal of Elasticity, vol.33, issue.1, p.126, 1993. ,
URL : https://hal.archives-ouvertes.fr/hal-00782186
, Constitutive models for strongly curved beams in the frame of isogeometric analysis, vol.21, p.182209, 2016.
Isogeometric analysis: a powerful numerical tool for the elastic analysis of historical masonry arches, Continuum Mechanics and Thermodynamics, vol.28, issue.1-2, p.139156, 2016. ,
, A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-540 buckling, 2018.
On the linear theory of micropolar plates, ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für ,
URL : https://hal.archives-ouvertes.fr/hal-00824928
, Angewandte Mathematik und Mechanik, vol.89, issue.4, p.242256, 2009.
Foundations of micropolar mechanics, 2012. ,
, Generalized Continua from the Theory to Engineering Applications, p.179248, 2013.
Linear pantographic sheets: existence and uniqueness of weak solutions, Journal of Elasticity, p.122, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01466979
Semi-inverse method à la saint-venant for two-dimensional linear isotropic homogeneous second-gradient elasticity, p.555 ,
, Mathematics and Mechanics of Solids, vol.22, issue.5, p.919937, 2017.
Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coecients, Zeitschrift für angewandte Mathematik und Physik, vol.66, issue.6, p.36993725, 2015. ,
Identication of two-dimensional pantographic structure via a linear d4 orthotropic second gradient elastic model, Journal of Engineering Mathematics, p.121, 2016. ,
Strain gradient elasticity with geometric nonlinearities and its computational evaluation, p.565 ,
, Advanced Materials and Modern Processes, vol.1, issue.1, p.4, 2015.
Variational formulation and isogeometric analysis for fourth-order boundary value problems of gradient-elastic bar and plane strain/stress problems, Computer Methods in Applied Mechanics and Engineering, vol.308, p.182, 2016. ,
Isogeometric analysis of higher-order gradient elasticity by user elements of a commercial nite element software, Computer-Aided Design, vol.82, p.154169, 2017. ,
Kirchholove shells 575 within strain gradient elasticity: Weak and strong formulations and an h3-conforming isogeometric implementation, Computer Methods in Applied Mechanics and Engineering, vol.344, p.837857, 2019. ,
A second gradient formulation for a 2d fabric sheet with inextensible bres, Zeitschrift für, p.580 ,
, angewandte Mathematik und Physik, vol.67, issue.5, 2016.
, Mechanical metamaterials: a state of the art, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02453434
, , p.585
, Pantographic metamaterials: an example of mathematically driven design and of its technological challenges, Continuum Mechanics and Thermodynamics, vol.31, issue.4, p.851884, 2019.
Phenomenological aspects of quasiperfect pivots in metallic pantographic structures, Mechanics Research, vol.590 ,
URL : https://hal.archives-ouvertes.fr/hal-02457782
, Communications, 2019.
Forcedisplacement relationship in micro-metric pantographs: Experiments and numerical simulations, Comptes Rendus Mécanique, vol.347, issue.5, p.397405, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02269992
Metamaterials with relative displacements in their microstructure: technological challenges in 3d printing, experiments and numerical predictions, Continuum Mechanics and Thermodynamics, p.120, 2018. ,
Computation and experimental comparison of 600 the deformation behavior of pantographic structures with dierent microgeometry under shear and torsion, Journal of Theoretical and Applied Mechanics, vol.57, 2019. ,
, , p.605
, Zeitschrift für angewandte Mathematik und Physik, vol.69, issue.4, p.105, 2018.
Micromechanical model for viscoelastic materials undergoing damage, Continuum Mechanics and Thermodynamics, p.116, 2013. ,
Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics, Mathematics and Mechanics of Solids, 2015. ,
Thermomechanics-based nonlinear rate-dependent coupled damage-plasticity granular micromechanics model, Continuum 615 Mechanics and Thermodynamics, vol.27, issue.4-5, p.787, 2015. ,
The macroscopic behavior of pantographic sheets depends mainly on their microstructure: experimental evidence and qualitative analysis of damage in metallic 620 specimens, Continuum Mechanics and Thermodynamics, p.123, 2019. ,
, Physics and Engineering Explorations, 2006.
, Pantographic metamaterials show atypical poynting eect reversal
, Res. Commun, vol.89, p.610, 2018.
Qualitative pivot damage analysis in aluminum printed pantographic sheets: numerics and experiments, Mechanics Research Communications, vol.83, p.4752, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01529257
, , p.630
, Piola-Hencky discrete models for pantographic sheets with pivots without deformation energy: Numerics and experiments, International Journal of Solids and Structures, vol.147, p.94109, 2018.
, , p.635
Pantographic metamaterials: an example of mathematically driven 640 design and of its technological challenges, Continuum Mechanics and Thermodynamics, vol.31, issue.4, p.851884, 2019. ,
,
, , p.650
, Advances in Pantographic Structures: Design, Manufacturing, Models, Experiments and Image Analyses, vol.31, p.12311282, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02156824
Linear elastic trusses leading 655 to continua with exotic mechanical interactions, Journal of Physics: Conference Series, vol.319, p.12018, 2011. ,
Numerical validation framework for micromechanical simulations based on synchrotron 3D imaging, Comput. Mech, vol.59, issue.3, p.419441, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01480980
On the choice of boundary conditions for micromechanical simulations based on 3D imaging, International Journal of Solids and Structures, vol.112, p.8396, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01471645
, Multiscale DIC applied to Pantographic, vol.665
, Experimental Mechanics, 2020.
Adaptive image correlation technique for full-eld strain measurement, 12th Int. Conf, p.420421, 2004. ,
Finite-element formulation for a digital 670 image correlation method, Appl. Optics, vol.44, issue.34, p.73577363, 2005. ,
Finite-element displacement elds analysis from digital images: Application to Portevin-Le Chatelier bands, Exp. Mech, vol.46, p.789803, 2006. ,
Synthesis of second gradient architectured meta-675 materials: Micro-to-macro approaches, numerical investigations, additive manufacturing and experimental validation, 2019. ,
Analytical continuum mechanics à la HamiltonPiola least action principle for second 680 gradient continua and capillary uids, Mathematics and Mechanics of Solids, vol.20, issue.4, p.375417, 2015. ,
A bias extension test, Textile Research Journal, vol.33, issue.4, p.315317, 1963. ,
, , p.685
The bias-extension test for the analysis of in-plane shear properties of textile composite reinforcements and prepregs: a review, International Journal of Material Forming, vol.10, issue.4, p.473492, 2017. ,
, Advances in Two-Dimensional and Three-Dimensional Computer Vision, vol.77, p.690
Computer vision-based, noncontacting deformation measurements in mechanics: A generational transformation ,
, Mech. Rev, vol.65, p.50802, 2013.
, Digital imaging techniques in experimental stress 695 analysis, vol.21, p.427431, 1982.
Determination of displacements using an improved digital correlation method ,
, , vol.1, p.133139, 1983.
Applications of digital-image-700 correlation techniques to experimental mechanics, Exp. Mech, vol.3, issue.25, p.232244, 1985. ,
Comparison of local and global approaches to digital image correlation, Exp. Mech, vol.52, issue.9, p.15031519, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00750756
, Digital image correlation, p.705
, Optical Methods for Solid Mechanics. A Full-Field Approach, p.183228, 2012.
Image correlation for shape, motion and deformation measurements: Basic Concepts, Theory and Applications, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-01729219
Integrated digital image correlation for the identication of mechanical properties ,
, MIRAGE 2009, vol.5496, p.161171, 2009.
An extended and integrated digital image 715 correlation technique applied to the analysis fractured samples, Eur. J. Comput. Mech, vol.18, p.285306, 2009. ,
Mechanics-aided digital image correlation, J. Strain Analysis, vol.48, p.330343, 2013. ,
V. Arsenin, Solutions of ill-posed problems, New, vol.720 ,
URL : https://hal.archives-ouvertes.fr/hal-02283587
, , 1977.
A nite element formulation to identify damage elds: The equilibrium gap method, Int. J. Num. Meth. Engng, vol.61, issue.2, p.189208, 2004. ,
, Complete Mechanical, vol.725
, Computer Methods in Applied Mechanics and Engineering, vol.Correlation, p.27, 2019.
, Full-Field Measurements and Identication in Solid Mechanics, 2012.
Comparison between experimental and numerical results of mixed-mode crack propagation in concrete: Inuence of boundary conditions choice, Cement and Concrete Research, vol.100, p.329340, 2017. ,
Estimation of elastoplastic 735 parameters via weighted FEMU and integrated-DIC, Exp. Mech, vol.55, issue.1, p.105119, 2015. ,
Inverse Problems Theory. Methods for Data Fitting and Model Parameter Estimation, 1987. ,