{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,3]],"date-time":"2026-06-03T07:05:22Z","timestamp":1780470322501,"version":"3.54.1"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"8","license":[{"start":{"date-parts":[[2016,1,20]],"date-time":"2016-01-20T00:00:00Z","timestamp":1453248000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2017,8]]},"DOI":"10.1007\/s00521-016-2181-3","type":"journal-article","created":{"date-parts":[[2016,1,20]],"date-time":"2016-01-20T07:52:21Z","timestamp":1453276341000},"page":"2207-2229","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":90,"title":["Anisotropic masonry failure criterion using artificial neural networks"],"prefix":"10.1007","volume":"28","author":[{"given":"Panagiotis G.","family":"Asteris","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Vagelis","family":"Plevris","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2016,1,20]]},"reference":[{"key":"2181_CR1","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/j.engstruct.2014.01.031","volume":"62\u201363","author":"PG Asteris","year":"2014","unstructured":"Asteris PG, Chronopoulos MP, Chrysostomou CZ, Varum H, Plevris V, Kyriakides N, Silva V (2014) Seismic vulnerability assessment of historical masonry structural systems. Eng Struct 62\u201363:118\u2013134","journal-title":"Eng Struct"},{"key":"2181_CR2","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/j.engstruct.2012.02.039","volume":"40","author":"I Cali\u00f2","year":"2012","unstructured":"Cali\u00f2 I, Marletta M, Pant\u00f2 B (2012) A new discrete element model for the evaluation of the seismic behavior of unreinforced masonry buildings. Eng Struct 40:327\u2013338","journal-title":"Eng Struct"},{"issue":"6","key":"2181_CR3","doi-asserted-by":"crossref","first-page":"642","DOI":"10.1061\/(ASCE)0733-9445(1998)124:6(642)","volume":"124","author":"PB Louren\u00e7o","year":"1998","unstructured":"Louren\u00e7o PB, Rots JG, Blaauwendraad J (1998) Continuum model for masonry: parameter estimation and validation. J Struct Eng 124(6):642\u2013652","journal-title":"J Struct Eng"},{"key":"2181_CR4","doi-asserted-by":"crossref","DOI":"10.1002\/0470020180","volume-title":"The combined finite-discrete element method","author":"A Munjiza","year":"2004","unstructured":"Munjiza A (2004) The combined finite-discrete element method. Wiley, Chichester"},{"issue":"2","key":"2181_CR5","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1002\/eqe.2335","volume":"43","author":"A Penna","year":"2014","unstructured":"Penna A, Lagomarsino S, Galasco A (2014) A nonlinear macroelement model for the seismic analysis of masonry buildings. Earthq Eng Struct Dyn 43(2):159\u2013179","journal-title":"Earthq Eng Struct Dyn"},{"key":"2181_CR6","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/j.conbuildmat.2014.05.096","volume":"66","author":"E Reccia","year":"2014","unstructured":"Reccia E, Milani G, Cecchi A, Tralli A (2014) Full 3D homogenization approach to investigate the behavior of masonry arch bridges: the Venice trans-lagoon railway bridge. Constr Build Mater 66:567\u2013586","journal-title":"Constr Build Mater"},{"issue":"3","key":"2181_CR7","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1002\/pse.120","volume":"4","author":"PB Louren\u00e7o","year":"2002","unstructured":"Louren\u00e7o PB (2002) Computations on historic masonry structures. Prog Struct Math Eng 4(3):301\u2013319","journal-title":"Prog Struct Math Eng"},{"issue":"3","key":"2181_CR8","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1007\/s11831-010-9046-1","volume":"17","author":"P Roca","year":"2010","unstructured":"Roca P, Cervera M, Gariup G, Pela L (2010) Structural analysis of masonry historical constructions. Classical and advanced approaches. Arch Comput Methods Eng 17(3):299\u2013325","journal-title":"Arch Comput Methods Eng"},{"issue":"12","key":"2181_CR9","doi-asserted-by":"crossref","first-page":"1508","DOI":"10.1061\/(ASCE)ST.1943-541X.0000384","volume":"137","author":"PG Asteris","year":"2011","unstructured":"Asteris PG, Antoniou ST, Sophianopoulos DS, Chrysostomou CZ (2011) Mathematical macromodeling of infilled frames: state of the art. J Struct Eng 137(12):1508\u20131517","journal-title":"J Struct Eng"},{"key":"2181_CR10","doi-asserted-by":"crossref","first-page":"1905","DOI":"10.1016\/j.engstruct.2013.08.010","volume":"56","author":"PG Asteris","year":"2013","unstructured":"Asteris PG, Cotsovos DM, Chrysostomou CZ, Mohebkhah A, Al-Chaar GK (2013) Mathematical micromodeling of infilled frames: state of the art. Eng Struct 56:1905\u20131921","journal-title":"Eng Struct"},{"key":"2181_CR11","unstructured":"Sarhosis V (2012) Computational modelling of low bond strength masonry. PhD thesis, University of Leeds, UK"},{"key":"2181_CR12","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1016\/j.conbuildmat.2014.01.041","volume":"55","author":"V Plevris","year":"2014","unstructured":"Plevris V, Asteris PG (2014) Modeling of masonry failure surface under biaxial compressive stress using neural networks. Constr Build Mater 55:447\u2013461","journal-title":"Constr Build Mater"},{"key":"2181_CR13","unstructured":"Karantoni F, Fardis M, Vintzeleou E, Harisis A (1993) Effectiveness of seismic strengthening interventions. In: Proceedings of the IABSE symposium on the structural preservation of the architectural heritage, Roma, pp 549\u2013556"},{"key":"2181_CR14","doi-asserted-by":"crossref","unstructured":"Dhanasekar M, Page AW, Kleeman PW (1985) The failure of brick masonry under biaxial stresses. In: Proc. Inst. Civ. Eng., Part 2, vol 79, pp 295\u2013313","DOI":"10.1680\/iicep.1985.992"},{"key":"2181_CR15","unstructured":"Ganz HR (1989) Failure criteria for masonry. In: Proceedings if the of the 5th Canadian masonry symposium, pp 65\u201377"},{"key":"2181_CR16","unstructured":"Ganz HR, Thurlimann B (1983) Strength of brick walls under normal force and shear. In: Proceedings of the 8th international symposium on load bearing brickwork, London, pp 27\u201329"},{"key":"2181_CR17","doi-asserted-by":"crossref","first-page":"4033","DOI":"10.1002\/(SICI)1097-0207(19971115)40:21<4033::AID-NME248>3.0.CO;2-0","volume":"40","author":"PB Louren\u00e7o","year":"1997","unstructured":"Louren\u00e7o PB, De Borst R, Rots JG (1997) Plane stress softening plasticity model for orthotropic materials. Int J Numer Methods Eng 40:4033\u20134057","journal-title":"Int J Numer Methods Eng"},{"issue":"8","key":"2181_CR18","doi-asserted-by":"crossref","first-page":"1238","DOI":"10.1016\/j.engfracmech.2004.09.007","volume":"72","author":"TJ Massart","year":"2005","unstructured":"Massart TJ, Peerlings RHJ, Geers MGD, Gottcheiner S (2005) Mesoscopic modeling of failure in brick masonry accounting for three-dimensional effects. Eng Fract Mech 72(8):1238\u20131253","journal-title":"Eng Fract Mech"},{"key":"2181_CR19","doi-asserted-by":"crossref","first-page":"957","DOI":"10.1016\/j.conbuildmat.2012.07.014","volume":"41","author":"L Pel\u00e0","year":"2013","unstructured":"Pel\u00e0 L, Cervera M, Roca P (2013) An orthotropic damage model for the analysis of masonry structures. Constr Build Mater 41:957\u2013967","journal-title":"Constr Build Mater"},{"issue":"5","key":"2181_CR20","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1177\/002199837100500106","volume":"1971","author":"SW Tsai","year":"1971","unstructured":"Tsai SW, Wu EM (1971) A general failure criterion for anisotropic materials. J Compos Mater 1971(5):58\u201380","journal-title":"J Compos Mater"},{"key":"2181_CR21","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0022-5096(57)90049-2","volume":"6","author":"DR Bland","year":"1957","unstructured":"Bland DR (1957) The associated flow rule of plasticity. J Mech Phys Solids 6:71\u201378","journal-title":"J Mech Phys Solids"},{"key":"2181_CR22","doi-asserted-by":"crossref","first-page":"350","DOI":"10.1090\/qam\/59769","volume":"11","author":"WT Koiter","year":"1953","unstructured":"Koiter WT (1953) Sress-strain relations, uniqueness and variational theorems for elastic-plastic materials with singular yield surface. Q Appl Math 11:350\u2013354","journal-title":"Q Appl Math"},{"key":"2181_CR23","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1002\/nme.1620010107","volume":"1","author":"OC Zienkiewicz","year":"1969","unstructured":"Zienkiewicz OC, Valliapan S, King IP (1969) Elasto-plastic solutions of engineering problems; initial stress finite element approach. Int J Numer Methods Eng 1:75\u2013100","journal-title":"Int J Numer Methods Eng"},{"issue":"2","key":"2181_CR24","first-page":"46","volume":"4","author":"PG Asteris","year":"2013","unstructured":"Asteris PG (2013) Unified yield surface for the nonlinear analysis of brittle anisotropic materials. Nonlinear Sci Lett A 4(2):46\u201356","journal-title":"Nonlinear Sci Lett A"},{"key":"2181_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2174\/1874114201004010001","volume":"4","author":"PG Asteris","year":"2010","unstructured":"Asteris PG (2010) A simple heuristic algorithm to determine the set of closed surfaces of the cubic tensor polynomial. Open Appl Math J 4:1\u20135","journal-title":"Open Appl Math J"},{"issue":"1","key":"2181_CR26","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1061\/(ASCE)0899-1561(2001)13:1(58)","volume":"13","author":"CA Syrmakezis","year":"2001","unstructured":"Syrmakezis CA, Asteris PG (2001) Masonry failure criterion under biaxial stress state. J Mater Civil Eng Am Soc Civil Eng (ASCE) 13(1):58\u201364","journal-title":"J Mater Civil Eng Am Soc Civil Eng (ASCE)"},{"issue":"2","key":"2181_CR27","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1111\/0885-9507.00219","volume":"16","author":"H Adeli","year":"2001","unstructured":"Adeli H (2001) Neural networks in civil engineering: 1989\u20132000. Comput Aided Civil Infrastruct Eng 16(2):126\u2013142","journal-title":"Comput Aided Civil Infrastruct Eng"},{"key":"2181_CR28","doi-asserted-by":"publisher","unstructured":"Asteris PG, Tsaris AK, Cavaleri L et al (2016) Prediction of the fundamental period of infilled RC frame structures using artificial neural networks. Comput Intell Neurosci 2016:1\u201312. Art ID 5104907. doi: 10.1155\/2016\/5104907","DOI":"10.1155\/2016\/5104907"},{"issue":"7","key":"2181_CR29","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1108\/02644401011073674","volume":"27","author":"ND Lagaros","year":"2010","unstructured":"Lagaros ND, Plevris V, Papadrakakis M (2010) Neurocomputing strategies for solving reliability-robust design optimization problems. Eng Comput 27(7):819\u2013840","journal-title":"Eng Comput"},{"issue":"3\u20134","key":"2181_CR30","doi-asserted-by":"crossref","first-page":"361","DOI":"10.2298\/TAM0404361P","volume":"31","author":"M Papadrakakis","year":"2004","unstructured":"Papadrakakis M, Lagaros ND, Plevris V (2004) Structural optimization considering the probabilistic system response. Theoret Appl Mech 31(3\u20134):361\u2013394","journal-title":"Theoret Appl Mech"},{"issue":"7","key":"2181_CR31","doi-asserted-by":"crossref","first-page":"1018","DOI":"10.1016\/j.neunet.2009.05.003","volume":"22","author":"H Adeli","year":"2009","unstructured":"Adeli H, Panakkat A (2009) A probabilistic neural network for earthquake magnitude prediction. Neural Netw 22(7):1018\u20131024","journal-title":"Neural Netw"},{"issue":"4","key":"2181_CR32","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1111\/j.1467-8667.2009.00595.x","volume":"24","author":"A Panakkat","year":"2009","unstructured":"Panakkat A, Adeli H (2009) Recurrent neural network for approximate earthquake time and location prediction using multiple seismicity indicators. Comput Aided Civ Infrastruct Eng 24(4):280\u2013292","journal-title":"Comput Aided Civ Infrastruct Eng"},{"issue":"4","key":"2181_CR33","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/BF02736196","volume":"2","author":"H Adeli","year":"1995","unstructured":"Adeli H (1995) Knowledge engineering. Arch Comput Methods Eng 2(4):51\u201368","journal-title":"Arch Comput Methods Eng"},{"issue":"1","key":"2181_CR34","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/S0266-352X(97)00034-7","volume":"22","author":"J Ghaboussi","year":"1998","unstructured":"Ghaboussi J, Sidarta DE (1998) New nested adaptive neural networks (NANN) for constitutive modeling. Comput Geotech 22(1):29\u201352","journal-title":"Comput Geotech"},{"issue":"1\u20134","key":"2181_CR35","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/S0045-7825(97)00215-6","volume":"156","author":"M Papadrakakis","year":"1998","unstructured":"Papadrakakis M, Lagaros ND, Tsompanakis Y (1998) Structural optimization using evolution strategies and neural networks. Comput Methods Appl Mech Eng 156(1\u20134):309\u2013333","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"3","key":"2181_CR36","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1007\/BF02736645","volume":"8","author":"M Papadrakakis","year":"2001","unstructured":"Papadrakakis M, Lagaros ND, Tsompanakis Y, Plevris V (2001) Large scale structural optimization: computational methods and optimization algorithms. Arch Computat Methods Eng 8(3):239\u2013301","journal-title":"Arch Computat Methods Eng"},{"issue":"1","key":"2181_CR37","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.asoc.2011.09.010","volume":"12","author":"R Singh","year":"2012","unstructured":"Singh R, Kainthola A, Singh TN (2012) Estimation of elastic constant of rocks using an ANFIS approach. Appl Soft Comput J 12(1):40\u201345","journal-title":"Appl Soft Comput J"},{"issue":"3","key":"2181_CR38","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1007\/s11831-011-9063-8","volume":"18","author":"JF Unger","year":"2011","unstructured":"Unger JF, Eckardt S (2011) Multiscale modeling of concrete. Arch Comput Methods Eng 18(3):341\u2013393","journal-title":"Arch Comput Methods Eng"},{"issue":"1","key":"2181_CR39","first-page":"26","volume":"1","author":"AW Page","year":"1980","unstructured":"Page AW (1980) A biaxial failure criterion for brick masonry in the tension-tension range. Int J Mason Constr 1(1):26\u201329","journal-title":"Int J Mason Constr"},{"key":"2181_CR40","doi-asserted-by":"crossref","unstructured":"Page AW (1981) The biaxial compressive strength of brick masonry. In: Proc. Inst. Civ. Eng., Part 2, vol 71, pp 893\u2013906","DOI":"10.1680\/iicep.1981.1825"},{"issue":"1","key":"2181_CR41","first-page":"26","volume":"3","author":"AW Page","year":"1983","unstructured":"Page AW (1983) The strength of brick masonry under biaxial tension-compression. Int J Mason Constr 3(1):26\u201331","journal-title":"Int J Mason Constr"},{"key":"2181_CR42","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1016\/j.conbuildmat.2013.02.064","volume":"44","author":"ZH Duan","year":"2013","unstructured":"Duan ZH, Kou SC, Poon CS (2013) Using artificial neural networks for predicting the elastic modulus of recycled aggregate concrete. Constr Build Mater 44:524\u2013532","journal-title":"Constr Build Mater"},{"issue":"5","key":"2181_CR43","doi-asserted-by":"crossref","first-page":"1336","DOI":"10.1061\/(ASCE)0733-9445(1991)117:5(1336)","volume":"117","author":"K Naraine","year":"1991","unstructured":"Naraine K, Sinha S (1991) Cyclic behavior of brick masonry under biaxial compression. J Struct Eng ASCE 117(5):1336\u20131355","journal-title":"J Struct Eng ASCE"},{"key":"2181_CR44","unstructured":"Samarasinghe W (1980) The in-plane failure of brickwork. PhD thesis, University of Edinburgh"},{"key":"2181_CR45","unstructured":"Tassios ThP, Vachliotis Ch (1989) Failure of masonry under heterosemous biaxial stresses. In: Proceedings of the international conference conservation of stone, masonry\u2014diagnosis, repair and strengthening, Athens"},{"issue":"4","key":"2181_CR46","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1007\/s00521-009-0318-3","volume":"19","author":"A El-Shafie","year":"2010","unstructured":"El-Shafie A, Abdelazim T, Noureldin A (2010) Neural network modeling of time-dependent creep deformations in masonry structures. Neural Comput Appl 19(4):583\u2013594","journal-title":"Neural Comput Appl"},{"issue":"1","key":"2181_CR47","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1061\/(ASCE)0899-1561(2005)17:1(54)","volume":"17","author":"L Bortolotti","year":"2005","unstructured":"Bortolotti L, Carta S, Cireddu D (2005) Unified yield criterion for masonry and concrete in multiaxial stress states. J Mater Civ Eng 17(1):54\u201362","journal-title":"J Mater Civ Eng"},{"issue":"3","key":"2181_CR48","doi-asserted-by":"crossref","first-page":"205","DOI":"10.4038\/jnsfsr.v36i3.156","volume":"36","author":"KGS Dilrukshi","year":"2008","unstructured":"Dilrukshi KGS, Dias WPS (2008) Field survey and numerical modelling of cracking in masonry walls due to thermal movements of an overlying slab. J Natl Sci Found Sri Lanka 36(3):205\u2013213","journal-title":"J Natl Sci Found Sri Lanka"},{"issue":"ST8","key":"2181_CR49","doi-asserted-by":"crossref","first-page":"1675","DOI":"10.1061\/JSDEAG.0005772","volume":"107","author":"AA Hamid","year":"1981","unstructured":"Hamid AA, Drysdale RG (1981) Proposed failure criteria for concrete block masonry under biaxial stresses. J Struct Div ASCE 107(ST8):1675\u20131687","journal-title":"J Struct Div ASCE"},{"key":"2181_CR50","unstructured":"Syrmakezis CA, Asteris PG, Sophocleous AA (1997) Earthquake resistant design of masonry tower structures. In: Proceedings, fifth international conference on structural studies of historical buildings, STREMA 97, 25\u201327 June, San Sebastian, Spain, pp 377\u2013386"},{"issue":"3","key":"2181_CR51","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1177\/002199838902300301","volume":"23","author":"Z Jiang","year":"1989","unstructured":"Jiang Z, Tennyson RC (1989) Closure of the cubic tensor polynomial failure surface. J Compos Mater 23(3):208\u2013231","journal-title":"J Compos Mater"},{"key":"2181_CR52","doi-asserted-by":"crossref","first-page":"472","DOI":"10.1177\/002199837200600304","volume":"6","author":"EM Wu","year":"1972","unstructured":"Wu EM (1972) Optimal experimental measurements of anisotropic failure tensors. J Comput Mater 6:472\u2013480","journal-title":"J Comput Mater"},{"key":"2181_CR53","unstructured":"Anthoine A (1992) In-plane behaviour of masonry: a literature review. Report EUR 13840 EN"},{"key":"2181_CR54","doi-asserted-by":"crossref","first-page":"990","DOI":"10.1016\/j.conbuildmat.2012.07.095","volume":"41","author":"D Theodossopoulos","year":"2013","unstructured":"Theodossopoulos D, Sinha B (2013) A review of analytical methods in the current design processes and assessment of performance of masonry structures. Constr Build Mater 41:990\u20131001","journal-title":"Constr Build Mater"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-016-2181-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-016-2181-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-016-2181-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-016-2181-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,2]],"date-time":"2022-06-02T00:40:29Z","timestamp":1654130429000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-016-2181-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,1,20]]},"references-count":54,"journal-issue":{"issue":"8","published-print":{"date-parts":[[2017,8]]}},"alternative-id":["2181"],"URL":"https:\/\/doi.org\/10.1007\/s00521-016-2181-3","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,1,20]]}}}