{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T03:09:16Z","timestamp":1767236956389},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2014,10,8]],"date-time":"2014-10-08T00:00:00Z","timestamp":1412726400000},"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":["Comput Mech"],"published-print":{"date-parts":[[2015,1]]},"DOI":"10.1007\/s00466-014-1082-5","type":"journal-article","created":{"date-parts":[[2014,10,7]],"date-time":"2014-10-07T04:21:26Z","timestamp":1412655686000},"page":"57-72","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Coulomb frictional contact by explicit projection in the cone for finite displacement quasi-static problems"],"prefix":"10.1007","volume":"55","author":[{"given":"P.","family":"Areias","sequence":"first","affiliation":[]},{"given":"T.","family":"Rabczuk","sequence":"additional","affiliation":[]},{"given":"F. J. M. Queir\u00f3s","family":"de Melo","sequence":"additional","affiliation":[]},{"given":"J. C\u00e9sar","family":"de S\u00e1","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,10,8]]},"reference":[{"key":"1082_CR1","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/0045-7825(91)90022-X","volume":"92","author":"P Alart","year":"1992","unstructured":"Alart P, Curnier A (1992) A mixed formulation for frictional contact problems prone to Newton like methods. Comp Method Appl Mech Eng 92:353\u2013375","journal-title":"Comp Method Appl Mech Eng"},{"key":"1082_CR2","unstructured":"Amontons G (1699) De la resistance caus\u00e9e dans des machines, tant par les frottements des parties que les composent, que par la roideur des cordes qu\u2019on y employe, et la maniere de calculer l\u2019un e l\u2019autre, pages 206\u2013222. Acad\u00e9mie Royale des Sciences, Paris, France, Trois\u00e9me (1732) edition"},{"key":"1082_CR3","unstructured":"Amontons G (1699) Sur les frottements des machines, pages 104\u2013109. Acad\u00e9mie Royale des Sciences, Paris, France, Trois\u00e9me (1732) edition"},{"key":"1082_CR4","unstructured":"Areias P (2014) Simplas. http:\/\/www.simplas-software.com . Accessed in 17 Sept 2014"},{"key":"1082_CR5","unstructured":"Areias P (2003) Finite element technology, damage modeling, contact constraints and fracture analysis. Doutoramento, FEUP - Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias s\/n 4200\u2013465 Porto, Portugal, 2003. www.fe.up.pt"},{"key":"1082_CR6","doi-asserted-by":"crossref","first-page":"1107","DOI":"10.1002\/nme.1104","volume":"61","author":"P Areias","year":"2004","unstructured":"Areias P, C\u00e9sar de S\u00e1 JMA, Concei\u00e7\u00e3o Ant\u00f3nio CA (2004) Algorithms for the analysis of 3D finite strain contact problems. Int J Numer Meth Eng 61:1107\u20131151","journal-title":"Int J Numer Meth Eng"},{"key":"1082_CR7","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1007\/s00466-011-0659-5","volume":"49","author":"P Areias","year":"2012","unstructured":"Areias P, Dias-da Costa D, Pires EB, Infante Barbosa J (2012) A new semi-implicit formulation for multiple-surface flow rules in multiplicative plasticity. Comput Mech 49:545\u2013564","journal-title":"Comput Mech"},{"key":"1082_CR8","doi-asserted-by":"crossref","first-page":"807","DOI":"10.1007\/s00466-013-0932-x","volume":"53","author":"P Areias","year":"2014","unstructured":"Areias P, Pinto da Costa A, Rabczuk T, Queir\u00f3s de Melo FJM, Dias-da Costa D, Bezzeghoud M (2014) An alternative formulation for quasi-static frictional and cohesive contact problems. Comput Mech 53:807\u2013824","journal-title":"Comput Mech"},{"key":"1082_CR9","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.finel.2012.03.007","volume":"57","author":"P Areias","year":"2012","unstructured":"Areias P, Rabczuk T, Dias da Costa D, Pires EB (2012) Implicit solutions with consistent additive and multiplicative components. Finite Elem Anal Des 57:15\u201331","journal-title":"Finite Elem Anal Des"},{"key":"1082_CR10","unstructured":"Coulomb C-A (1821) Th\u00e9orie des machines simples, en ayant \u00e9gard au frottement de leurs parties et \u00e0 roideur des cordages. Imprimerie de Huzard-Courcier, Rue du Jardinet, No 12, Paris, France, Nouvelle \u00c9dition edition"},{"issue":"4\u20138","key":"1082_CR11","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/S0895-7177(98)00119-8","volume":"28","author":"G Saxc\u00e9 De","year":"1998","unstructured":"De Saxc\u00e9 G, Feng Z-Q (1998) The bipotential method: a constructive approach to design the complete contact law with friction and improved numerical algorithms. Mathl Comput Model 28(4\u20138):225\u2013245","journal-title":"Mathl Comput Model"},{"key":"1082_CR12","doi-asserted-by":"crossref","unstructured":"Hartmann S, Oliver J, Weyler R, Cante JC, Hern\u00e1ndez JA (2009) A contact domain method for large deformation frictional contact problems. Part 2: Numerical aspects. Comp Method Appl Mech Eng 198:2607\u20132631","DOI":"10.1016\/j.cma.2009.03.009"},{"key":"1082_CR13","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1002\/nme.1493","volume":"65","author":"Y Kanno","year":"2006","unstructured":"Kanno Y, Martins JAC, Pinto da Costa A (2006) Three-dimensional quasi-static frictional contact by using second-order cone linear complementarity problem. Int J Numer Meth Eng 65:62\u201383","journal-title":"Int J Numer Meth Eng"},{"key":"1082_CR14","doi-asserted-by":"crossref","unstructured":"Kikuchi N, Oden JT (1988) Contact problems in elasticity. A study of variational inequalities and finite element methods, volume 8 of SIAM Studies in Applied and Numerical Mathematics. SIAM Studies in Applied Mathematics, Philadelphia","DOI":"10.1137\/1.9781611970845"},{"issue":"4","key":"1082_CR15","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1007\/s003660200028","volume":"18","author":"J Korelc","year":"2002","unstructured":"Korelc J (2002) Multi-language and multi-environment generation of nonlinear finite element codes. Eng Comput 18(4):312\u2013327","journal-title":"Eng Comput"},{"key":"1082_CR16","volume-title":"Computational contact and impact mechanics. Fundamentals of modeling interfacial phenomena in nonlinear finite element analysis","author":"TA Laursen","year":"2002","unstructured":"Laursen TA (2002) Computational contact and impact mechanics. Fundamentals of modeling interfacial phenomena in nonlinear finite element analysis. Springer, Heidelberg"},{"issue":"13","key":"1082_CR17","doi-asserted-by":"crossref","first-page":"1959","DOI":"10.1016\/0020-7225(95)00039-Z","volume":"33","author":"JAC Martins","year":"1995","unstructured":"Martins JAC, Sim\u00f5es FMF, Gastaldi F, Monteiro Marques MDP (1995) Dissipative graph solutions for a 2 degree-of-freedom quasistatic frictional contact problem. Int J Eng Sci 33(13):1959\u20131986","journal-title":"Int J Eng Sci"},{"key":"1082_CR18","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1016\/j.cma.2013.12.008","volume":"271","author":"DM Neto","year":"2014","unstructured":"Neto DM, Oliveira MC, Menezes LF, Alves JL (2014) Applying Nagata patches to smooth discretized surfaces used in 3D frictional contact problems. Comp Method Appl Mech Eng 271:296\u2013320","journal-title":"Comp Method Appl Mech Eng"},{"key":"1082_CR19","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1016\/j.cma.2003.10.010","volume":"193","author":"MA Puso","year":"2004","unstructured":"Puso MA, Laursen TA (2004) A mortar segment-to-segment contact method for large deformation solid mechanics. Comp Method Appl Mech Eng 193:601\u2013629","journal-title":"Comp Method Appl Mech Eng"},{"key":"1082_CR20","doi-asserted-by":"crossref","first-page":"4891","DOI":"10.1016\/j.cma.2004.06.001","volume":"193","author":"MA Puso","year":"2004","unstructured":"Puso MA, Laursen TA (2004) A mortar segment-to-segment frictional contact method for large deformations. Comp Method Appl Mech Eng 193:4891\u20134913","journal-title":"Comp Method Appl Mech Eng"},{"key":"1082_CR21","volume-title":"Mathematica","author":"Wolfram Research Inc.","year":"2007","unstructured":"Wolfram Research Inc. (2007) Mathematica. Wolfram Research Inc., Champaign"},{"key":"1082_CR22","unstructured":"Richter JP (1970) The Notebooks of Leonardo da Vinci. Dover, 1970 (Reprint of 1883 edition)"},{"key":"1082_CR23","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/0045-7949(92)90540-G","volume":"42","author":"J Simo","year":"1992","unstructured":"Simo J, Laursen T (1992) An augmented Lagrangian treatment of contact problems involving friction. Comput Struct 42:97\u2013116","journal-title":"Comput Struct"},{"key":"1082_CR24","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1016\/0045-7825(85)90033-7","volume":"51","author":"JC Simo","year":"1985","unstructured":"Simo JC, Taylor RL, Pister KS (1985) Variational and projection methods for the volume constraint in finite deformation elasto-plasticity. Comp Method Appl Mech Eng 51:177\u2013208","journal-title":"Comp Method Appl Mech Eng"},{"key":"1082_CR25","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.cma.2012.02.017","volume":"223\u2013224","author":"I Temizer","year":"2012","unstructured":"Temizer I (2012) A mixed formulation of mortar-based frictionless contact. Comp Method Appl Mech Eng 223\u2013224:173\u2013185","journal-title":"Comp Method Appl Mech Eng"},{"key":"1082_CR26","volume-title":"Computational contact mechanics","author":"P Wriggers","year":"2002","unstructured":"Wriggers P (2002) Computational contact mechanics. Wiley, New York"},{"key":"1082_CR27","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1002\/cnm.590","volume":"19","author":"P Wriggers","year":"2003","unstructured":"Wriggers P, Haraldsson A (2003) A simple formulation for two-dimensional contact problems using a moving friction cone. Commun Numer Meth Eng 19:285\u2013295","journal-title":"Commun Numer Meth Eng"},{"key":"1082_CR28","doi-asserted-by":"crossref","first-page":"1183","DOI":"10.1002\/nme.1222","volume":"62","author":"B Yang","year":"2005","unstructured":"Yang B, Laursen TA, Meng X (2005) Two dimensional mortar contact methods for large deformation frictional sliding. Int J Numer Meth Eng 62:1183\u20131225","journal-title":"Int J Numer Meth Eng"},{"key":"1082_CR29","doi-asserted-by":"crossref","first-page":"3428","DOI":"10.1016\/j.cma.2009.06.022","volume":"198","author":"G Zavarise","year":"2009","unstructured":"Zavarise G, De Lorenzis L (2009) The node-to-segment algorithm for 2D frictionless contact: classical formulation and special cases. Comp Method Appl Mech Eng 198:3428\u20133451","journal-title":"Comp Method Appl Mech Eng"},{"key":"1082_CR30","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1002\/nme.1620330702","volume":"33","author":"OC Zienkiewicz","year":"1992","unstructured":"Zienkiewicz OC, Zhu JZ (1992) The superconvergent patch recovery and a posteriori error estimates. Part I: the recovery technique. Int J Numer Meth Eng 33:1331\u20131364","journal-title":"Int J Numer Meth Eng"}],"container-title":["Computational Mechanics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00466-014-1082-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00466-014-1082-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00466-014-1082-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,15]],"date-time":"2019-08-15T22:26:45Z","timestamp":1565908005000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00466-014-1082-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,8]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,1]]}},"alternative-id":["1082"],"URL":"https:\/\/doi.org\/10.1007\/s00466-014-1082-5","relation":{},"ISSN":["0178-7675","1432-0924"],"issn-type":[{"value":"0178-7675","type":"print"},{"value":"1432-0924","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10,8]]}}}