Modeling the shear failure of segmental arches

Albenga, 1966 Ambrosio, 2000 Anitescu, 2004, A constraint-stabilized time-stepping approach for rigid multibody dynamics with joints, contact and friction, Int. J. Numer. Methods Eng., 60, 2335, 10.1002/nme.1047 Anitescu, 2010, An iterative approach for cone complementarity problems for nonsmooth dynamics, Comput. Optim. Appl., 47, 207, 10.1007/s10589-008-9223-4 Bagi, 2014, When heyman’s safe theorem of rigid block systems fails: non-heymanian collapse modes of masonry structures, Int. J. Solids Struct., 51, 2696, 10.1016/j.ijsolstr.2014.03.041 Bagi, 2016, The Contact Dynamics Method, 103 Beatini, 2017, A regularized non-smooth contact dynamics approach for architectural masonry structures, Comput. Struct., 187, 88, 10.1016/j.compstruc.2017.02.002 Beatini, 2018, The role of frictional contact of constituent blocks on the stability of masonry domes, Proc. R. Soc. A: Math., Phys. Eng. Sci., 474, 10.1098/rspa.2017.0740 Birgin, 2000, Nonmonotone spectral projected gradient methods on convex sets, SIAM J. Optim., 10, 1196, 10.1137/S1052623497330963 Casapulla, 2001, Dry rigid block masonry: safe solutions in presence of Coulomb friction, Adv. Archit. Ser., 7, 251 Casapulla, 2015, Experimental and analytical investigation on the frictional contact behavior of 3d masonry block assemblages, Constr. Build. Mater., 78, 126, 10.1016/j.conbuildmat.2014.12.100 Clemente, 1995, Limit behavior of stone arch bridges, J. Struct. Eng., 121, 1045, 10.1061/(ASCE)0733-9445(1995)121:7(1045) Como, 2013 Coumans, E., 2012. http://bulletphysics.org. Drucker, 1954, Coulomb friction, plasticity and limit loads, J. Appl. Mech., 21, 71, 10.1115/1.4010821 Dubois, 2006, 375 Keerthi, 1988, A fast procedure for computing the distance between complex objects in three-dimensional space, Rob. Autom., 4, 193, 10.1109/56.2083 François, 2005, Structured deformation of damaged continua with cohesive-frictional sliding rough fractures, Eur. J. Mech. A/Solids, 24, 644, 10.1016/j.euromechsol.2004.12.005 Gilbert, 2007, Limit analysis applied to masonry arch bridges: state-of-the-art and recent developments, 13 Gilbert, 2006, Limit analysis of masonry block structures with non-associative frictional joints using linear programming, Comput. Struct., 84, 873, 10.1016/j.compstruc.2006.02.005 Gilbert, 1994, Rigid block analysis of masonry structures, Struct. Eng. Lond., 72, 356 Heyman, 1966, The stone skeleton, Int. J. Solids Struct., 2, 249, 10.1016/0020-7683(66)90018-7 Heyn, 2013, Using krylov subspace and spectral methods for solving complementarity problems in many-body contact dynamics simulation, Int. J. Numer. Methods Eng., 95, 541, 10.1002/nme.4513 Kinderleher, 1980 Kooharian, 1953, Limit analysis of voussoirs (segmental) and concrete arches, Proc. Am. Concr. Inst., 49, 317 Lancioni, 2016, Seismic vulnerability of ancient stone arches by using a numerical model based on the non-smooth contact dynamics method, Eng. Struct., 119, 110, 10.1016/j.engstruct.2016.04.001 Lancioni, 2013, Dynamics and failure mechanisms of ancient masonry churches subjected to seismic actions by using the nscd method: the case of the medieval church of s. maria in portuno, Eng. Struct., 56, 1527, 10.1016/j.engstruct.2013.07.027 Lengyel, 2018, Symmetric free vibration of cracked arches of rigid discrete blocks, Eng. Struct., 162, 51, 10.1016/j.engstruct.2018.01.058 Liu, 2008, Frictionless multiple impacts in multibody systems. i. theoretical framework, Proc. R. Soc. A: Math. Phys. Eng. Sci., 464, 3193, 10.1098/rspa.2008.0078 Livesley, 1978, Limit analysis of structures formed from rigid blocks, Int. J. Numer. Methods Eng., 12, 1853, 10.1002/nme.1620121207 Lucchesi, 2008 Mangoni, 2018, A primal-dual predictor-corrector interior point method for non-smooth contact dynamics, Comput. Methods Appl. Mech. Eng., 330, 351, 10.1016/j.cma.2017.10.030 Melbourne, 1995, Behaviour of multiring brickwork arch bridges, Struct. Eng. Lond., 73, 39 Méry, 1840, Sur l’équilibre des voûtes en berceau, 19, 50 Moreau, 1988, 1 Moreau, 1999, Numerical aspects of the sweeping process, Comput. Methods Appl. Mech. Eng., 177, 329, 10.1016/S0045-7825(98)00387-9 Ochsendorf, 2008, Failure of rectangular masonry buttresses under concentrated loading, Proc. Inst. Civ. Eng. Struct. Build., 161, 265, 10.1680/stbu.2008.161.5.265 Orduna, 2005, Three-dimensional limit analysis of rigid blocks assemblages. part I: torsion failure on frictional interfaces and limit analysis formulation, Int. J. Solids Struct., 18–19, 5140, 10.1016/j.ijsolstr.2005.02.010 Page, 1993 Popa, 2015, Regularized solution of lcp problems with application to rigid body dynamics, Numer. Algorithms, 69, 145, 10.1007/s11075-014-9886-0 Qu, 2003, A 3d surface offset method for stl-format models, Rapid Prototyp. J., 9, 133, 10.1108/13552540310477436 Saxcé, 1998, The bipotential method: a constructive approach to design the complete contact law with friction and improved numerical algorithms, Math. Comput. Model., 28, 225, 10.1016/S0895-7177(98)00119-8 Sinopoli, 1997, Unilaterality and dry friction: a geometric formulation for two-dimensional rigid body dynamics, Nonlinear Dyn., 4, 343, 10.1023/A:1008289716620 Stewart, 1996, An implicit time-stepping scheme for rigid-body dynamics with inelastic collisions and Coulomb friction, Int. J. Numer. Methods Eng., 39, 2673, 10.1002/(SICI)1097-0207(19960815)39:15<2673::AID-NME972>3.0.CO;2-I Tasora, 2013, A compliant visco-plastic particle contact model based on differential variational inequalities, Int. J. Non Linear Mech., 53, 2, 10.1016/j.ijnonlinmec.2013.01.010 Villaggio, 1979, An elastic theory of coulomb friction, Arch. Ration. Mech. Anal., 70, 135, 10.1007/BF00250350 van Zijl, 2004, Modeling masonry shear-compression: role of dilatancy highlighted, J. Eng. Mech., 130, 1289, 10.1061/(ASCE)0733-9399(2004)130:11(1289)