{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T05:39:34Z","timestamp":1770961174790,"version":"3.50.1"},"reference-count":47,"publisher":"Elsevier BV","issue":"18","license":[{"start":{"date-parts":[[2000,5,1]],"date-time":"2000-05-01T00:00:00Z","timestamp":957139200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Solids and Structures"],"published-print":{"date-parts":[[2000,5]]},"DOI":"10.1016\/s0020-7683(98)00291-1","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T18:40:42Z","timestamp":1027622442000},"page":"2519-2564","source":"Crossref","is-referenced-by-count":27,"title":["Stability of finite-dimensional nonlinear elastic systems with unilateral contact and friction"],"prefix":"10.1016","volume":"37","author":[{"given":"J.A.C.","family":"Martins","sequence":"first","affiliation":[]},{"given":"A.","family":"Pinto da Costa","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0020-7683(98)00291-1_BIB1","series-title":"An Introduction to Nonlinear Analysis","article-title":"Ordinary Differential Equations","author":"Amann","year":"1990"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB2","series-title":"Stability of Structures","author":"Bazant","year":"1991"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB3","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/BF00370091","article-title":"Path following and critical points for contact problems","volume":"10","author":"Bj\u00f6rkman","year":"1992","journal-title":"Computational Mechanics"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB4","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0045-7825(94)00682-D","article-title":"An orthonormal tangent space method for constrained multibody systems","volume":"121","author":"Blajer","year":"1995","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"issue":"5","key":"10.1016\/S0020-7683(98)00291-1_BIB5","first-page":"805","article-title":"The effect of friction on multibody dynamics","volume":"14","author":"Blajer","year":"1995","journal-title":"Eur. J. Mech., A\/Solids"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB6","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1007\/BF00789100","article-title":"A projective criterion to the coordinate partitioning method for multibody dynamics","volume":"64","author":"Blajer","year":"1994","journal-title":"Archive of Applied Mechanics"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB7","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1115\/1.3176033","article-title":"Rigid body collisions","volume":"56","author":"Brach","year":"1989","journal-title":"ASME, Journal of Applied Mechanics"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB8","first-page":"573","article-title":"Flambage par bifurcation des syst\u00e9mes \u00e9lastiques avec contact unilat\u00e9ral parfait","volume":"308","author":"Chateau","year":"1989","journal-title":"C.R. Acad. Sci. Paris, (in French), S\u00e9rie II t."},{"issue":"1","key":"10.1016\/S0020-7683(98)00291-1_BIB9","first-page":"71","article-title":"Buckling of elastic structures in unilateral contact with or without friction","volume":"10","author":"Chateau","year":"1991","journal-title":"Eur. J. Mech., A\/Solids"},{"issue":"5","key":"10.1016\/S0020-7683(98)00291-1_BIB10","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/0020-7225(84)90058-2","article-title":"Existence of solutions of Signorini problems with friction","volume":"22","author":"Cocu","year":"1984","journal-title":"Int. J. Engng. Sci."},{"key":"10.1016\/S0020-7683(98)00291-1_BIB11","series-title":"Theory of Ordinary Differential Equations","author":"Coddington","year":"1955"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB12","series-title":"Differential Equations, Introduction and Qualitative Theory","author":"Cronin","year":"1980"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB13","unstructured":"G\u00e9not, F., Brogliato, B., 1998. New results on Painlev\u00e9 paradoxes. INRIA, Rapport de Recherche No. 3366"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB14","series-title":"Proc. Contact Mechanics Int. Symp., PPUR","first-page":"13","article-title":"An LCP\u2014approach for multibody systems with planar friction","author":"Glocker","year":"1992"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB15","article-title":"Stick\u2013Slip phenomena and application","author":"Glocker","year":"1993"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB16","series-title":"Linear Algebra","author":"Hadley","year":"1980"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB17","series-title":"Matrix Analysis","author":"Horn","year":"1985"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB18","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/S0065-2156(08)70031-0","volume":"14","author":"Hutchinson","year":"1974","journal-title":"Plastic buckling. Advan. Appl. Mech"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB19","series-title":"Proceedings of the Second Meeting on Unilateral Problems in Structural Analysis (Prescudin)","first-page":"151","article-title":"Dynamics in the presence of unilateral contacts and dry friction: a numerical approach. Unilateral Problems in Structural Mechanics\u20132, CISM courses and lectures, vol. 304","author":"Jean","year":"1985"},{"issue":"5","key":"10.1016\/S0020-7683(98)00291-1_BIB20","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1016\/0020-7683(88)90002-9","article-title":"On discrete and discretized non-linear elastic structures in unilateral contact (stability, uniqueness and variational principles)","volume":"24","author":"Klarbring","year":"1988","journal-title":"Int. J. Solids Structures"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB21","doi-asserted-by":"crossref","first-page":"529","DOI":"10.1007\/BF00541909","article-title":"Examples of non-uniqueness and non-existence of solutions to quasistatic contact problems with friction","volume":"56","author":"Klarbring","year":"1990","journal-title":"Ingenieur-Archiv"},{"issue":"1","key":"10.1016\/S0020-7683(98)00291-1_BIB22","first-page":"53","article-title":"Derivation and analysis of rate boundary-value problems of frictional contact","volume":"9","author":"Klarbring","year":"1990","journal-title":"Eur. J. Mech., A\/Solids"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB23","series-title":"The Theory of Matrices","author":"Lancaster","year":"1985"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB24","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1002\/zamm.19810611202","article-title":"Coulomb friction in two-dimensional rigid body systems","volume":"61","author":"L\u00f6tstedt","year":"1981","journal-title":"ZAMM"},{"issue":"2","key":"10.1016\/S0020-7683(98)00291-1_BIB25","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1137\/0142022","article-title":"Mechanical systems of rigid bodies subject to unilateral constraints","volume":"42","author":"L\u00f6tstedt","year":"1982","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/S0020-7683(98)00291-1_BIB26","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/BFb0120962","article-title":"Time-dependent contact problems in rigid body mechanics","volume":"17","author":"L\u00f6tstedt","year":"1982","journal-title":"Mathematical Programming Study"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB27","series-title":"Handbook of Matrices","author":"L\u00fctkepohl","year":"1996"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB28","unstructured":"Martins, J.A.C., Pinto da Costa, A., 1996. Stability of finite dimensional systems with unilateral contact and friction: flat obstacle and linear elastic behavior. Internal Report ICIST\u2014AI No. 5\/96"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB29","unstructured":"Martins, J.A.C., Pinto da Costa, A., 1998. Stability of finite dimensional systems with unilateral contact and friction: nonlinear elastic behavior and obstacle curvature. Internal Report ICIST\u2014AI No. 9\/98"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB30","doi-asserted-by":"crossref","unstructured":"Martins, J.A.C., Barbarin, S., Raous, M., Pinto da Costa, A., 1998. Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction. Comput. Methods Appl. Mech. Engrg, special issue on Computational Modeling of Contact and Friction","DOI":"10.1016\/S0045-7825(98)00386-7"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB31","first-page":"524","article-title":"On the inconsistency of rigid-body frictional planar mechanics","author":"Mason","year":"1998"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB32","first-page":"1","article-title":"Unilateral contact and dry friction in finite freedom dynamics","volume":"vol. 302","author":"Moreau","year":"1988"},{"issue":"10","key":"10.1016\/S0020-7683(98)00291-1_BIB33","doi-asserted-by":"crossref","first-page":"1241","DOI":"10.1016\/0020-7683(92)90235-L","article-title":"On the stability and post-critical behaviour of elastic structures with dry friction","volume":"29","author":"Mr\u00f3z","year":"1992","journal-title":"Int. J. Solids Structures"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB34","series-title":"Mechanics of Solids, The Rodney Hill 60th Anniversary Volume","first-page":"453","article-title":"Aspects of plastic post-buckling behaviour","author":"Needleman","year":"1982"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB35","first-page":"1375","article-title":"Stabilit\u00e9 et bifurcation des syst\u00e9mes dissipatifs standards \u00e0 comportement ind\u00e9pendant du temps physique","volume":"t.310, S\u00e9rie II","author":"Nguyen","year":"1990","journal-title":"C.R. Acad. Sci. Paris"},{"issue":"1","key":"10.1016\/S0020-7683(98)00291-1_BIB36","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1115\/1.3111068","article-title":"Bifurcation and stability is dissipative media (plasticity, friction, fracture). Appl","volume":"47","author":"Nguyen","year":"1994","journal-title":"Mech. Rev. Part 1"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB37","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/BF02592103","article-title":"Complementarity formulation and existence of solutins of dynamic multi-rigid-body contact problems with Coulomb friction","volume":"73","author":"Pang","year":"1996","journal-title":"Mathematical Programming"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB38","first-page":"95","article-title":"Theory of bifurcation and instability in time-independent plasticity","volume":"vol. 327","author":"Petryk","year":"1993"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB39","doi-asserted-by":"crossref","unstructured":"Pfeiffer, F., Glocker,C., 1996. Multibody Dynamics with Unilateral Contacts. Wiley Series in Non-linear Science","DOI":"10.1002\/9783527618385"},{"issue":"5","key":"10.1016\/S0020-7683(98)00291-1_BIB40","doi-asserted-by":"crossref","first-page":"261","DOI":"10.2514\/8.1346","article-title":"Inelastic column theory","volume":"14","author":"Shanley","year":"1947","journal-title":"Journal of the Aeronautical Sciences"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB41","doi-asserted-by":"crossref","first-page":"2673","DOI":"10.1002\/(SICI)1097-0207(19960815)39:15<2673::AID-NME972>3.0.CO;2-I","article-title":"An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and Coulomb friction","volume":"39","author":"Stewart","year":"1996","journal-title":"Int. J. Num. Meth. Engrg"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB42","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1098\/rspa.1990.0125","article-title":"Rigid body collisions with friction","volume":"A 431","author":"Stronge","year":"1990","journal-title":"Proc. R. Soc. Lond."},{"issue":"4","key":"10.1016\/S0020-7683(98)00291-1_BIB43","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1002\/zamm.19970770411","article-title":"On dynamic multi-rigid-body contact problems with Coulomb friction","volume":"77","author":"Trinkle","year":"1997","journal-title":"ZAMM"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB44","series-title":"Nonlinear Differential Equations and Dynamical Systems","author":"Verhulst","year":"1980"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB45","series-title":"Nonlinear Systems Analysis","author":"Vidyasagar","year":"1993"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB46","doi-asserted-by":"crossref","first-page":"635","DOI":"10.1115\/1.2893771","article-title":"Two-dimensional rigid-body collisions with friction","volume":"59","author":"Wang","year":"1992","journal-title":"ASME, Journal of Applied Mechanics"},{"key":"10.1016\/S0020-7683(98)00291-1_BIB47","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1115\/1.3256318","article-title":"Generalized coordinate partitioning for dimension reduction in analysis of constrained dynamic systems","volume":"104","author":"Wehage","year":"1982","journal-title":"ASME, Journal of Mechanical Design"}],"container-title":["International Journal of Solids and Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020768398002911?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020768398002911?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T22:43:16Z","timestamp":1681252996000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0020768398002911"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,5]]},"references-count":47,"journal-issue":{"issue":"18","published-print":{"date-parts":[[2000,5]]}},"alternative-id":["S0020768398002911"],"URL":"https:\/\/doi.org\/10.1016\/s0020-7683(98)00291-1","relation":{},"ISSN":["0020-7683"],"issn-type":[{"value":"0020-7683","type":"print"}],"subject":[],"published":{"date-parts":[[2000,5]]}}}