86 3.4.1 Stiffness matrix, p.89 ,
Choice of the polynomial order of interpolation, p.90 ,
94 3.6.1 Patch test, p.97 ,
99 3.7.1 Comparison with Discrete Elements solution 101 3.7.2 The role of drilling rotations, p.101 ,
123 4.5.1 Element implementation 123 4.5.2 Derivation of the elastoplastic tangent stiffness matrix for multisurface plasticity, p.124 ,
126 4.6.1 The micropolar plate element COSS8R 127 4.6.2 Single element tests for multisurface plane plasticity, p.130 ,
149 5.2.1 The Cosserat medium, p.151 ,
151 5.3.1 The Cauchy medium, p.152 ,
A 2D Cosserat finite element based on a damage-plastic model for brittle materials, Computers & Structures, vol.135, pp.20-31, 2014. ,
DOI : 10.1016/j.compstruc.2014.01.003
Modeling Approaches for Masonry Structures, The Open Civil Engineering Journal, vol.8, issue.1, pp.288-300, 2014. ,
DOI : 10.2174/1874149501408010288
A multi-scale enriched model for the analysis of masonry panels, International Journal of Solids and Structures, vol.49, issue.6, pp.865-880, 2012. ,
DOI : 10.1016/j.ijsolstr.2011.12.004
Cosserat model for periodic masonry deduced by nonlinear homogenization, European Journal of Mechanics - A/Solids, vol.29, issue.4, pp.724-737, 2010. ,
DOI : 10.1016/j.euromechsol.2010.03.001
Microstructural model for dry block masonry walls with in-plane loading, Journal of the Mechanics and Physics of Solids, vol.42, issue.7, pp.1159-1175, 1994. ,
DOI : 10.1016/0022-5096(94)90065-5
On the linear theory of micropolar plates, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, pp.242-256, 2009. ,
DOI : 10.1002/zamm.200800207
URL : https://hal.archives-ouvertes.fr/hal-00824928
On generalized Cosserat-type theories of plates and shells: a short review and bibliography, Archive of Applied Mechanics, vol.31, issue.3, pp.73-92, 2009. ,
DOI : 10.1007/s00419-009-0365-3
URL : https://hal.archives-ouvertes.fr/hal-00827365
The theory of transverse bending of plates with asymmetric elasticity, Mechanics of Composite Materials, vol.32, issue.1, pp.30-38, 1996. ,
DOI : 10.1007/BF02254645
Size effects due to Cosserat elasticity and surface damage in closed-cell polymethacrylimide foam, Journal of Materials Science, vol.12, issue.24, pp.6413-6419, 1994. ,
DOI : 10.1007/BF00353997
Derivation of the in-plane elastic characteristics of masonry through homogenization theory, International Journal of Solids and Structures, vol.32, issue.2, pp.137-163, 1995. ,
DOI : 10.1016/0020-7683(94)00140-R
Homogenization of periodic masonry: plane stress, generalized plane strain or 3D modelling? URL http Benchmark computation and performance evaluation for a rhombic plate bending problem, 5<319::AID-CNM55>3.0.CO, pp.319-3261099, 1989. ,
Computational two-scale homogenization of periodic masonry: Characteristic lengths and dispersive waves, Computer Methods in Applied Mechanics and Engineering, vol.213, issue.216, pp.213-216, 2012. ,
DOI : 10.1016/j.cma.2011.11.020
Limit Analysis for No-Tension and Frictional Three-Dimensional Discrete Systems*, Mechanics of Structures and Machines, vol.24, issue.3, 1998. ,
DOI : 10.1007/BF02173992
Continuous and discrete models for masonry like material: A critical comparative study, European Journal of Mechanics - A/Solids, vol.50, pp.39-58, 2015. ,
DOI : 10.1016/j.euromechsol.2014.10.007
The asymmetry of stress in granular media, International Journal of Solids and Structures, vol.38, issue.2, pp.353-367, 2001. ,
DOI : 10.1016/S0020-7683(00)00021-4
Tests on Clay Brick Masonry with Dry Head Joints, 1997. ,
Finite element procedures, 1996. ,
New masonry products and materials, Progress in Structural Engineering and Materials, pp.296-303, 2000. ,
DOI : 10.1002/1528-2716(200007/09)2:3<296::AID-PSE38>3.0.CO;2-6
Inelastic behavior of plane frictionless block-systems described as Cosserat media. Archives of Mechanics, 1985. ,
On the performance of non-conforming finite elements for the upper bound limit analysis of plates, International Journal for Numerical Methods in Engineering, vol.43, issue.3, pp.308-330, 2013. ,
DOI : 10.1002/nme.4460
URL : https://hal.archives-ouvertes.fr/hal-00776908
Modelling in-plane micro-structure of masonry walls by rigid elements, International Journal of Solids and Structures, vol.41, issue.13, pp.3625-3641, 2004. ,
DOI : 10.1016/j.ijsolstr.2004.02.002
Homogenization of masonry walls with a computational oriented procedure. Rigid or elastic block?, European Journal of Mechanics - A/Solids, vol.19, issue.3, pp.535-546, 2000. ,
DOI : 10.1016/S0997-7538(00)00159-5
A kinematic FE limit analysis model for thick English bond masonry walls, International Journal of Solids and Structures, vol.45, issue.5, pp.1302-1331, 2008. ,
DOI : 10.1016/j.ijsolstr.2007.09.019
A Reissner???Mindlin limit analysis model for out-of-plane loaded running bond masonry walls, International Journal of Solids and Structures, vol.44, issue.5, pp.1438-1460, 2007. ,
DOI : 10.1016/j.ijsolstr.2006.06.033
A multi-parameter homogenization study for modeling elastic masonry, European Journal of Mechanics - A/Solids, vol.21, issue.2, pp.249-268, 2002. ,
DOI : 10.1016/S0997-7538(01)01195-0
Out of plane model for heterogeneous periodic materials: the case of masonry, European Journal of Mechanics - A/Solids, vol.21, issue.5, pp.715-746, 2002. ,
DOI : 10.1016/S0997-7538(02)01243-3
A comparison between a 3D discrete model and two homogenised plate models for periodic elastic brickwork, International Journal of Solids and Structures, vol.41, issue.9-10, pp.9-10, 2004. ,
DOI : 10.1016/j.ijsolstr.2003.12.020
Corrigendum to ???A comparison between a 3D discrete model and two homogenised plate models for periodic elastic brickwork??? [International Journal of Solids and Structures 41 (2004) 2259???2276], International Journal of Solids and Structures, vol.43, issue.2, pp.390-392, 2006. ,
DOI : 10.1016/j.ijsolstr.2005.09.001
A homogenized Reissner???Mindlin model for orthotropic periodic plates: Application to brickwork panels, International Journal of Solids and Structures, vol.44, issue.18-19, pp.18-19, 2007. ,
DOI : 10.1016/j.ijsolstr.2007.02.009
A Cosserat non-linear finite element analysis software for blocky structures, Advances in Engineering Software, vol.30, issue.1, pp.69-83, 1999. ,
DOI : 10.1016/S0965-9978(98)00059-3
Localisation analysis in masonry using transformation field analysis, Engineering Fracture Mechanics, vol.110, pp.166-188, 2013. ,
DOI : 10.1016/j.engfracmech.2013.07.010
A new finite element with ???drilling??? D.O.F., Computer Methods in Applied Mechanics and Engineering, vol.143, issue.1-2, pp.1-11, 1997. ,
DOI : 10.1016/S0045-7825(96)01148-6
FEM analysis of Cosserat plates and shells based on some constitutive relations, ZAMM -Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, pp.400-412, 2011. ,
DOI : 10.1002/zamm.201000090
Statics of Historic Masonry Constructions, pp.978-981, 2013. ,
Formulation of a three-dimensional distinct element model???Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.25, issue.3, pp.107-116, 1988. ,
DOI : 10.1016/0148-9062(88)92293-0
Finite element analysis of Cosserat Theory for layered rock masses, Computers and Geotechnics, vol.15, issue.3, pp.145-162, 1993. ,
DOI : 10.1016/0266-352X(93)90010-5
Modelling of blocky rock masses using the Cosserat method, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.33, issue.4, pp.425-432, 1996. ,
DOI : 10.1016/0148-9062(95)00071-2
A COSSERAT BASED MULTI-SCALE MODEL FOR MASONRY STRUCTURES, International Journal for Multiscale Computational Engineering, vol.9, issue.5, pp.543-563, 2011. ,
DOI : 10.1615/IntJMultCompEng.2011002758
SIMULATION OF STRAIN LOCALIZATION: A REAPPRAISAL OF THE COSSERAT CONTINUUM, Engineering Computations, vol.8, issue.4, pp.317-332, 1991. ,
DOI : 10.1108/eb023842
Continuum models for discontinuous media, pp.6615-6617, 1991. ,
Localisation in a Cosserat continuum under static and dynamic loading conditions, Computer Methods in Applied Mechanics and Engineering, vol.90, issue.1-3, pp.1-3, 1991. ,
DOI : 10.1016/0045-7825(91)90185-9
FUNDAMENTAL ISSUES IN FINITE ELEMENT ANALYSES OF LOCALIZATION OF DEFORMATION, Engineering Computations, vol.10, issue.2, pp.99-121, 1993. ,
DOI : 10.1108/eb023897
A homogenization approach to the ultimate strength of brick masonry, Journal of the Mechanics and Physics of Solids, vol.45, issue.7, pp.1085-1104, 1997. ,
DOI : 10.1016/S0022-5096(97)00002-1
URL : https://hal.archives-ouvertes.fr/hal-00111570
Modélisation micropolaire de la résistance d'un milieu renforcé par inclusions. Comptes Rendus de l'Académie des, 1998. ,
Failure Properties of Fractured Rock Masses as Anisotropic Homogenized Media, Journal of Engineering Mechanics, vol.128, issue.8, pp.869-8750733, 2002. ,
DOI : 10.1061/(ASCE)0733-9399(2002)128:8(869)
Elasto-plastic analysis of block structures through a homogenization method, International Journal for Numerical and Analytical Methods in Geomechanics, vol.128, issue.Serie II, pp.221-247, 2010. ,
DOI : 10.1002/nag.697
Static modeling of continuum robots by circular elements, 2013 21st Iranian Conference on Electrical Engineering (ICEE), pp.1-6, 2013. ,
DOI : 10.1109/IranianCEE.2013.6599741
Seismic assessment strategies for masonry structures, 2009. ,
Seismic response of stone masonry spires: Computational and experimental modeling, Engineering Structures, vol.40, pp.566-574, 2012. ,
DOI : 10.1016/j.engstruct.2012.03.001
Displacement-based seismic analysis for out-of-plane bending of unreinforced masonry walls, Earthquake Engineering & Structural Dynamics, vol.29, issue.4, pp.833-850, 2002. ,
DOI : 10.1002/eqe.126
Stress resultant plasticity for shells revisited, Computer Methods in Applied Mechanics and Engineering, vol.247, issue.248, pp.247-248, 2012. ,
DOI : 10.1016/j.cma.2012.07.012
Foundations of Micropolar Mechanics, SpringerBriefs in Applied Sciences and Technology, 2013. ,
DOI : 10.1007/978-3-642-28353-6
Local Symmetry Group in the General Theory of Elastic Shells, Journal of Elasticity, vol.386, issue.2, pp.125-152, 2006. ,
DOI : 10.1007/s10659-006-9075-z
URL : https://hal.archives-ouvertes.fr/hal-00835610
Theory of micropolar plates, ZAMP -Zeitschrift für angewandte Mathematik und Physik, pp.12-30, 1967. ,
DOI : 10.1007/BF01593891
Microcontinuum field theories. I: Foundations and solids, 1999. ,
Microcontinuum Field Theories II: Fluent Media, Applied Mechanics Reviews, vol.55, issue.1, 2001. ,
DOI : 10.1115/1.1445333
Generalized continuum theories: Application to stress analysis in bone, Meccanica, vol.37, issue.4/5, pp.385-396, 2002. ,
DOI : 10.1023/A:1020839805384
A rigorous homogenization method for the determination of the overall ultimate strength of periodic discrete media and an application to general hexagonal lattices of beams, European Journal of Mechanics - A/Solids, vol.25, issue.1, pp.72-97, 2006. ,
DOI : 10.1016/j.euromechsol.2005.06.011
Asymptotic analysis of heterogeneous Cosserat media, International Journal of Solids and Structures, vol.38, issue.26-27, pp.26-27, 2001. ,
DOI : 10.1016/S0020-7683(00)00295-X
Cosserat overall modeling of heterogeneous materials, Mechanics Research Communications, vol.25, issue.4, pp.449-454, 1998. ,
DOI : 10.1016/S0093-6413(98)00059-7
The method of virtual power in continuum mechanics, Part Microstructure . SIAM Journal on Applied Mathematics, vol.2, issue.253, pp.556-575, 1973. ,
The basic equations of flexible plates for a medium of cosserat, Soviet Applied Mechanics, vol.3, issue.11, pp.41-45, 1967. ,
DOI : 10.1007/BF00896787
A 3D elastic micropolar model of vertebral trabecular bone from lattice homogenization of the bone microstructure, Biomechanics and Modeling in Mechanobiology, vol.39, issue.6, pp.53-83, 2014. ,
DOI : 10.1007/s10237-013-0486-z
URL : https://hal.archives-ouvertes.fr/hal-01424977
Cosserat Elastoplastic Finite Elements for Masonry Structures, Key Engineering Materials, vol.624, pp.131-138, 2014. ,
DOI : 10.4028/www.scientific.net/KEM.624.131
URL : https://hal.archives-ouvertes.fr/hal-01114447
Dynamic finite element formulation for Cosserat elastic plates, International Journal for Numerical Methods in Engineering, vol.1, issue.2, pp.992-1018, 2015. ,
DOI : 10.1002/nme.4833
URL : https://hal.archives-ouvertes.fr/hal-01114343
Multisurface plasticity for Cosserat materials: Plate element implementation and validation, International Journal for Numerical Methods in Engineering, vol.38, issue.2, 2016. ,
DOI : 10.1002/nme.5219
URL : https://hal.archives-ouvertes.fr/hal-01310970
A limit analysis approach based on Cosserat continuum for the evaluation of the homogenized in-plane strength of discrete media: application to masonry, 2015. ,
A Beam Finite Element for Nonlinear Analysis of Masonry Elements With or Without Fiber-Reinforced Plastic (FRP) Reinforcements, International Journal of Architectural Heritage, vol.43, issue.6, pp.693-716, 2011. ,
DOI : 10.1080/15583058.2010.490616
Theory of an elastic-plastic cosserat surface, International Journal of Solids and Structures, vol.4, issue.9, pp.907-927, 1968. ,
DOI : 10.1016/0020-7683(68)90087-5
Cyclic testing of unreinforced masonry walls in two-way bending, Earthquake Engineering & Structural Dynamics, vol.8, issue.6, pp.801-821, 2007. ,
DOI : 10.1002/eqe.654
Formulation of a three-dimensional distinct element model???Part II. Mechanical calculations for motion and interaction of a system composed of many polyhedral blocks, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.25, issue.3, pp.117-125, 1988. ,
DOI : 10.1016/0148-9062(88)92294-2
Design of Masonry Structures, Third Edition of Load Bearing Brickwork Design, 1997. ,
pdf$\delimiter"026E30F$npapers2 ,
The Stone Skeleton: Structural Engineering of Masonry Architecture URL https, 1997. ,
Convex Analysis and Minimization Algorithms I. URL http, 1993. ,
The finite element method: linear static and dynamic finite element analysis. Prentice-Hall, New Jersey. URL http://www.dandelon.com/servlet, 1987. ,
On drilling degrees of freedom, Computer Methods in Applied Mechanics and Engineering, vol.72, issue.1, pp.105-121, 1989. ,
DOI : 10.1016/0045-7825(89)90124-2
A generalized Cosserat point element (CPE) for isotropic nonlinear elastic materials including irregular 3-D brick and thin structures, Journal of Mechanics of Materials and Structures, vol.3, issue.8, 2008. ,
DOI : 10.2140/jomms.2008.3.1465
A six node plane strain triangular Cosserat Point Element (CPE) for nonlinear elasticity, International Journal of Engineering Science, vol.74, pp.118-142, 2014. ,
DOI : 10.1016/j.ijengsci.2013.08.005
An enriched-FEM model for simulation of localization phenomenon in Cosserat continuum theory, Computational Materials Science, vol.44, issue.2, pp.733-749, 2008. ,
DOI : 10.1016/j.commatsci.2008.05.019
Introduction to Solid State Physics, 1996. ,
Formulation and solution of some plasticity problems as conic programs, International Journal of Solids and Structures, vol.44, issue.5, pp.1533-1549, 2007. ,
DOI : 10.1016/j.ijsolstr.2006.06.036
An interior-point algorithm for elastoplasticity, International Journal for Numerical Methods in Engineering, vol.28, issue.3, pp.592-626, 2007. ,
DOI : 10.1002/nme.1771
A highly efficient membrane finite element with drilling degrees of freedom, Acta Mechanica, vol.100, issue.3-4, pp.3-4, 2010. ,
DOI : 10.1007/s00707-009-0279-8
Generalized continuum modeling of 2-D periodic cellular solids, International Journal of Solids and Structures, vol.41, issue.26, pp.7399-7422, 2004. ,
DOI : 10.1016/j.ijsolstr.2004.06.038
Advantages of strain-space formulation in computational plasticity, Computers & Structures, vol.54, issue.3, pp.515-520, 1995. ,
DOI : 10.1016/0045-7949(94)00349-8
Discrete Element Modeling of Masonry Structures, International Journal of Architectural Heritage, vol.65, issue.2, pp.190-213, 2007. ,
DOI : 10.1061/(ASCE)0733-9445(1993)119:3(687)
Numerical issues in the representation of masonry structural dynamics with discrete elements, Compdyn, pp.13-16, 2007. ,
Finite element method for linear micropolar elasticity and numerical study of some scale effects phenomena in MEMS, International Journal of Mechanical Sciences, vol.46, issue.11, pp.1571-1587, 2004. ,
DOI : 10.1016/j.ijmecsci.2004.10.004
A consistent return mapping algorithm for pressure-dependent elastoplastic Cosserat continua and modelling of strain localisation, Computers & Structures, vol.83, issue.1, pp.1-10, 2005. ,
DOI : 10.1016/j.compstruc.2004.08.009
Strength domains and return algorithm for the lumped plasticity equivalent frame model of masonry structures, Engineering Structures, vol.91, pp.167-181, 2015. ,
DOI : 10.1016/j.engstruct.2015.02.030
Eine Cosserat-Theorie des plastischen FlieBens, Acta Mechanica, vol.284, pp.255-284, 1969. ,
Computational strategies for masonry structures, 1996. ,
Analysis of masonry structures: review of and recent trends in homogenization techniquesThis article is one of a selection of papers published in this Special Issue on Masonry., Canadian Journal of Civil Engineering, vol.34, issue.11, pp.1443-1457, 2007. ,
DOI : 10.1139/L07-097
Lower bound limit analysis of cohesive-frictional materials using second-order cone programming, International Journal for Numerical Methods in Engineering, vol.42, issue.12, pp.604-634, 2006. ,
DOI : 10.1002/nme.1567
Masonry as structured continuum, Meccanica, vol.25, issue.3, pp.673-683, 1995. ,
DOI : 10.1007/BF00986573
Mesoscopic modeling of failure and damage-induced anisotropy in brick masonry, European Journal of Mechanics - A/Solids, vol.23, issue.5, pp.719-735, 2004. ,
DOI : 10.1016/j.euromechsol.2004.05.003
Mesoscopic modeling of failure in brick masonry accounting for three-dimensional effects, Engineering Fracture Mechanics, vol.72, issue.8, pp.1238-1253, 2005. ,
DOI : 10.1016/j.engfracmech.2004.09.007
Limit analysis of masonry vaults by means of curved shell finite elements and homogenization, International Journal of Solids and Structures, vol.45, issue.20, pp.5258-5288, 2008. ,
DOI : 10.1016/j.ijsolstr.2008.05.019
Homogenised limit analysis of masonry walls, Part II: Structural examples, Computers & Structures, vol.84, issue.3-4, pp.3-4, 2006. ,
DOI : 10.1016/j.compstruc.2005.09.004
Homogenised limit analysis of masonry walls, Part I: Failure surfaces, Computers & Structures, vol.84, issue.3-4, pp.3-4, 2006. ,
DOI : 10.1016/j.compstruc.2005.09.005
Homogenization Approach for the Limit Analysis of Out-of-Plane Loaded Masonry Walls, Journal of Structural Engineering, vol.132, issue.10, pp.1650-1663, 2006. ,
DOI : 10.1061/(ASCE)0733-9445(2006)132:10(1650)
In-plane failure surfaces for masonry with joints of finite thickness estimated by a Method of Cells-type approach, Computers & Structures, vol.150, pp.34-51, 2015. ,
DOI : 10.1016/j.compstruc.2014.12.007
Micro-structure in linear elasticity Archive for Rational Mechanics and Analysis, 1964. ,
In-plane and out-of-plane homogenisation of masonry, Computers & Structures, vol.85, issue.17-18, pp.17-18, 2007. ,
DOI : 10.1016/j.compstruc.2006.08.087
Strength of masonry subjected to in-plane loading: A contribution, International Journal of Solids and Structures, vol.48, issue.6, pp.865-873, 2011. ,
DOI : 10.1016/j.ijsolstr.2010.11.019
A plane strain quadrilateral Cosserat point element (CPE) for nonlinear orthotropic elastic materials ??? An extension to initially distorted geometry and general orthotropic directions, Finite Elements in Analysis and Design, vol.87, pp.10-21, 2014. ,
DOI : 10.1016/j.finel.2014.04.006
Application of Cosserat theory in numerical solutions of limit load problems, Ingenieur-Archiv, vol.59, issue.2, pp.124-137, 1989. ,
Discrete and Continuous Models for Dry Masonry Columns, Journal of Engineering Mechanics, vol.123, issue.4, pp.733-93994, 1061. ,
DOI : 10.1061/(ASCE)0733-9399(1997)123:4(399)
The thickness of shear bands in granular materials, G??otechnique, vol.37, issue.3, pp.271-283, 1987. ,
DOI : 10.1680/geot.1987.37.3.271
Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams, International Journal of Solids and Structures, vol.40, issue.22, pp.6163-6188, 2003. ,
DOI : 10.1016/S0020-7683(03)00365-2
The significance of formulating plasticity theory with reference to loading surfaces in strain space, International Journal of Engineering Science, vol.13, issue.9-10, pp.9-10, 1975. ,
DOI : 10.1016/0020-7225(75)90080-4
A NUMERICAL SOLUTION METHOD FOR AN INFINITESIMAL ELASTO-PLASTIC COSSERAT MODEL, Mathematical Models and Methods in Applied Sciences, vol.17, issue.08, pp.1211-1239, 2007. ,
DOI : 10.1142/S021820250700225X
The physics of vibrations and waves. URL http://books.google.com/books?hl=en&lr=&id=g__6DX33JWUC&oi=fnd& pg=PR5&dq=THE+PHYSICS+OF+VIBRATIONS+and+waves&ots=89i8nzPy8d&sig= Qi8XVYwXzyctZfryRl-FMgjJhDchttp, 2005. ,
Numerical treatment of progressive localization in relation to borehole stability, International Journal for Numerical and Analytical Methods in Geomechanics, vol.22, issue.6, pp.389-424, 1992. ,
DOI : 10.1002/nag.1610160602
Cosserat micromechanics of human bone: Strain redistribution by a hydration sensitive constituent, Journal of Biomechanics, vol.19, issue.5, pp.385-397, 1986. ,
DOI : 10.1016/0021-9290(86)90015-1
Generalised homogenisation procedures for granular materials, Journal of Engineering Mathematics, vol.55, issue.8, pp.199-229, 2005. ,
DOI : 10.1007/s10665-004-3950-z
Block masonry as equivalent micropolar continua: the role of relative rotations, Acta Mechanica, vol.28, issue.14, pp.1455-1471, 2012. ,
DOI : 10.1007/s00707-012-0662-8
A nonlinear macroelement model for the seismic analysis of masonry buildings, Earthquake Engineering & Structural Dynamics, vol.32, issue.5, pp.159-179, 2014. ,
DOI : 10.1002/eqe.2335
Cyclic test data of six unreinforced masonry walls with different boundary conditions. Earthquake Spectra. URL http, 2014. ,
Influence of boundary conditions and size effect on the drift capacity of URM walls, Engineering Structures, vol.65, pp.76-88, 2014. ,
DOI : 10.1016/j.engstruct.2014.01.048
Description of inelastic behaviour of structural masonry, International Journal of Solids and Structures, vol.40, issue.15, pp.4003-4019, 2003. ,
DOI : 10.1016/S0020-7683(03)00174-4
Cosserat modelling of elastic periodic lattice structures, Comptes Rendus de l'Académie des Sciences-Series, pp.699-704, 1998. ,
DOI : 10.1016/S1251-8069(98)80002-X
Numerical recipes in Fortran 77: the art of scientific computing, 1992. ,
An assessment of two fundamental flat triangular shell elements with drilling rotations, Computers & Structures, vol.77, issue.2, pp.129-139, 2000. ,
DOI : 10.1016/S0045-7949(99)00215-1
Finite element method in plane Cosserat elasticity, Computers & Structures, vol.80, issue.27-30, pp.27-30, 2002. ,
DOI : 10.1016/S0045-7949(02)00262-6
Full 3D finite element Cosserat formulation with application in layered structures, Applied Mathematical Modelling, vol.33, issue.8, pp.3450-3464, 2009. ,
DOI : 10.1016/j.apm.2008.11.022
Buckling analysis of 3D layered structures using a Cosserat continuum approach, Computers and Geotechnics, vol.36, issue.7, pp.1101-1112, 2009. ,
DOI : 10.1016/j.compgeo.2009.03.012
Continuum robots - a state of the art, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C), pp.2849-2854, 1999. ,
DOI : 10.1109/ROBOT.1999.774029
Yield design of thin periodic plates by a homogenization technique and an application to masonry walls, Comptes Rendus M??canique, vol.331, issue.9, pp.641-646, 2003. ,
DOI : 10.1016/S1631-0721(03)00144-X
Determination of the Overall Yield Strength Domain of Out-of-Plane Loaded Brick Masonry, Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation (SEMC), pp.83-92, 2007. ,
DOI : 10.1615/IntJMultCompEng.v5.i2.20
Yield Design, 2013. ,
DOI : 10.1002/9781118648988
Continuum modeling of periodic brickwork, International Journal of Solids and Structures, vol.46, issue.5, pp.1251-1267, 2009. ,
DOI : 10.1016/j.ijsolstr.2008.10.034
A Microcontinuum Model for Mechanical Properties of Esophageal Tissue: Experimental Methodology and Constitutive Analysis, Annals of Biomedical Engineering, vol.128, issue.13, pp.62-7223975385, 2014. ,
DOI : 10.1007/s10439-013-0897-0
Computational aspects of the Cosserat finite element analysis of localization phenomena, Computational Materials Science, vol.38, issue.2, pp.303-315, 2006. ,
DOI : 10.1016/j.commatsci.2006.03.003
Computational inelasticity. URL http, 1998. ,
Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms, International Journal for Numerical Methods in Engineering, vol.8, issue.10, pp.2161-2185, 1987. ,
DOI : 10.1002/nme.1620261003
Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.48, issue.1, pp.101-118, 1985. ,
DOI : 10.1016/0045-7825(85)90070-2
On a stress resultant geometrically exact shell model. Part V. Nonlinear plasticity: formulation and integration algorithms, Computer Methods in Applied Mechanics and Engineering, vol.96, issue.2, pp.133-171, 1992. ,
DOI : 10.1016/0045-7825(92)90129-8
Discrete Element Analysis of the Minimum Thickness of Oval Masonry Domes, International Journal of Architectural Heritage, vol.9, issue.5, 2014. ,
DOI : 10.1680/eacm.2010.163.3.135
Three dimensional homogenization of masonry structures with building blocks of finite strength: A closed form strength domain, International Journal of Solids and Structures, vol.54, pp.258-270, 2015. ,
DOI : 10.1016/j.ijsolstr.2014.10.007
URL : https://hal.archives-ouvertes.fr/hal-01091848
MICROMORPHIC CONTINUA: APPLICATION TO THE HOMOGENIZATION OF DIATOMIC MASONRY COLUMNS, International Journal for Multiscale Computational Engineering, vol.10, issue.6, pp.599-613, 2012. ,
DOI : 10.1615/IntJMultCompEng.2012004076
URL : https://hal.archives-ouvertes.fr/hal-00789923
Three-dimensional Cosserat homogenization of masonry structures: elasticity, Acta Geotechnica, vol.42, issue.7???9, pp.71-83, 2008. ,
DOI : 10.1007/s11440-007-0051-y
URL : https://hal.archives-ouvertes.fr/hal-00688317
Homogenization of interlocking masonry structures using a generalized differential expansion technique, International Journal of Solids and Structures, vol.47, issue.11-12, pp.11-12, 2010. ,
DOI : 10.1016/j.ijsolstr.2010.02.011
URL : https://hal.archives-ouvertes.fr/hal-00540000
A micropolar theory of finite deformation and finite rotation multiplicative elastoplasticity, International Journal of Solids and Structures, vol.31, issue.8, pp.1063-1084, 1994. ,
DOI : 10.1016/0020-7683(94)90164-3
Theory and numerics of ductile micropolar elastoplastic damage, International Journal for Numerical Methods in Engineering, vol.4, issue.4, pp.583-606, 1995. ,
DOI : 10.1002/nme.1620380406
Localization within the Framework of Micropolar Elasto- Plasticity Advances in Continuum Mechanics, pp.296-313, 1991. ,
A continuum model for periodic two-dimensional block structures, Mechanics of Cohesive-frictional Materials 1<31::AID-CFM24>3.0.CO, pp.31-461099, 1997. ,
Stability analysis of undrained adiabatic shearing of a rock layer with Cosserat microstructure, Granular Matter, vol.14, issue.8???9, pp.261-268, 2011. ,
DOI : 10.1007/s10035-010-0244-1
URL : https://hal.archives-ouvertes.fr/hal-00688214
Failure in shear bands for granular materials: thermo-hydro-chemo-mechanical effects, Géotechnique Letters, vol.3, pp.31-36, 2013. ,
Limit Analysis and Homogenisation, Comptes Rendus Mécanique, vol.296, issue.5, pp.1355-1358, 1983. ,
Solution of clamped rectangular plate problems, Communications in Numerical Methods in Engineering, vol.62, issue.10, pp.757-765, 2004. ,
DOI : 10.1002/cnm.652
Size effects in two-dimensional Voronoi foams: A comparison between generalized continua and discrete models, Journal of the Mechanics and Physics of Solids, vol.56, issue.12, pp.3541-3564, 2008. ,
DOI : 10.1016/j.jmps.2008.06.007
Seismic behaviour of confined masonry walls, Earthquake Engineering & Structural Dynamics, vol.26, issue.10, pp.1059-1071, 1996. ,
DOI : 10.1002/(SICI)1096-9845(199710)26:10<1059::AID-EQE694>3.0.CO;2-M
Material symmetries of micropolar continua equivalent to lattices. International journal of solids and structures. URL http, 1999. ,
Non-linear micropolar and classical continua for anisotropic discontinuous materials, International Journal of Solids and Structures, vol.40, issue.5, pp.1281-1297, 2003. ,
DOI : 10.1016/S0020-7683(02)00584-X
A multifield model for blocky materials based on multiscale description, International Journal of Solids and Structures, vol.42, issue.21-22, pp.21-22, 2005. ,
DOI : 10.1016/j.ijsolstr.2005.03.027
Derivation of microstructured continua from lattice systems via principle of virtual works: the case of masonry-like materials as micropolar, second gradient and classical continua, Acta Mechanica, vol.9, issue.5, pp.157-177, 2014. ,
DOI : 10.1007/s00707-013-0936-9
Out-of-plane shaking table tests on unreinforced masonry panels in RC frames, Engineering Structures, vol.32, issue.12, pp.3925-3935, 2010. ,
DOI : 10.1016/j.engstruct.2010.08.030
Contribution à l'étude et à la modélisation numérique des sols cloués: application au calcul en déformation des ouvrages de soutènement, 1994. ,
Scherfugenbildung und Verfl???ssigung in k???rnigen Materialien im Rahmen einer Cosseratschen Kontinuumtheorie, Ingenieur-Archiv, vol.59, issue.2, pp.106-113, 1989. ,
DOI : 10.1007/BF00538364
Lecture notes on Cosserat continuum mechanics with application to the mechanics of granular media, 2009. ,
Bifurcation analysis in geomechanics, Blackie Academic and Professional, 1995. ,
Non-Associated Plasticity for Soils, Concrete and Rock, pp.1-64, 1984. ,
DOI : 10.1007/978-94-017-2653-5_10
A survey of recent shell finite elements, International Journal for Numerical Methods in Engineering, vol.2, issue.1-3, pp.101-1271097, 2000. ,
DOI : 10.1002/(SICI)1097-0207(20000110/30)47:1/3<101::AID-NME763>3.0.CO;2-C
Finite elements for elasticity with microstructure and gradient elasticity, International Journal for Numerical Methods in Engineering, vol.46, issue.4, pp.564-595, 2008. ,
DOI : 10.1002/nme.2093
Quadrilateral isoparametric finite elements for plane elastic Cosserat bodies, Acta Mechanica Sinica, vol.21, issue.4, pp.388-394, 2005. ,
DOI : 10.1007/s10409-005-0041-y
The finite element method for solid and structural mechanics, sixth Edition, 2005. ,
A micro-mechanical model for the homogenisation of masonry, International Journal of Solids and Structures, vol.39, issue.12, pp.3233-3255, 2002. ,
DOI : 10.1016/S0020-7683(02)00230-5