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of the interface and the
Coulomb friction law, (iii) formulations of the dynamic and steady sliding contact problems together with proofs on existence and uniqueness of solutions, (iv) numerical techniques and algorithms for the study of the dynamic and steady sliding problems, (v) numerical finite element results and parametric studies on the stability of steady sliding and on friction induced oscillations.
237:
His PhD thesis was on models and computational methods for the study of dynamic behaviour of metallic bodies subjected to dry frictional contacts. It contains (i) a detailed study of phenomenological interface constitutive laws (ii) a constitutive interface law incorporating the normal deformability
429:“The influence of an occipito-posterior malposition on the biomechanical behavior of the pelvic floor” (with M.P.L. Parente, R.M.N. Jorge, T. Mascarenhas, A.A. Fernandes), European Journal of Obstetrics & Gynecology and Reproductive Biology, 144, pp. S166-S169, 2009.
327:“Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws” (with J.T. Oden), Nonlinear Analysis, Theory, Methods and Applications, 11, pp. 407 – 428, 1987, with corrigendum in vol. 12, p. 747, 1988.
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His areas of research include contact solid mechanics, nonlinear dynamics and instability phenomena, mathematical methods and numerical techniques for the solution of solid mechanics problems, nonlinear constitutive laws in solid mechanics and biomechanics.
432:“The influence of material properties on the biomechanical behavior of the pelvic floor muscles during vaginal delivery” (with M.P.L. Parente, R.M.N. Jorge, T. Mascarenhas, A.A. Fernandes), Journal of Biomechanics, 42, pp. 1301–1306, 2009.
408:“Three-dimensional quasi-static frictional contact by using a second-order cone linear complementarity problem” (with Y. Kanno, A. Pinto da Costa), International Journal for Numerical Methods in Engineering, 65, pp. 62–83, 2006.
210:(IST) until 1976. He was a research assistant and assistant instructor at IST until 1981. Subsequently, he entered the graduate school in the College of Engineering, Department of Aerospace Engineering and Engineering Mechanics of
93:
372:“Dynamic stability of finite dimensional linearly elastic systems with unilateral contact and Coulomb friction” (with S. Barbarin, M. Raous, A. Pinto da Costa), Comp. Methods Appl. Mechs. Engrg., 177, pp. 289–328, 1999.
399:“A shell finite element model of the pelvic floor muscles” (with D. d'Aulignac, E.B. Pires, T. Mascarenhas, R.M. Natal Jorge), Computer Methods in Biomechanics and Biomedical Engineering, 8, pp. 339 – 347, 2005.
348:“Oscillations of bridge stay-cables induced by periodic motions of the deck and/or the towers” (with A. Pinto da Costa, F. Branco, J.L. Lilien), ASCE Journal of Engineering Mechanics, 122, pp. 613–622, 1996.
414:“Finite element studies of the deformation of the pelvic floor” (with M.P.M Pato, E.B. Pires, R.M.N. Jorge, M. Parente, T. Mascarenhas), Annals of the New York Academy of Sciences, 1101, pp. 316–334, 2007.
402:“On the (in)stability of quasi-static paths of smooth systems: definitions and sufficient conditions” (with N.V. Rebrova, V.A. Sobolev), Mathematical Methods in the Applied Sciences, 29, pp. 741–750, 2006.
387:“A numerical study on multiple rate solutions and onset of directional instability in quasi-static frictional contact problems” (with A. Pinto da Costa), Computers & Structures, 82, pp. 1485–1494, 2004
405:“Arc-length method for frictional contact problems using mathematical programming with complementarity constraints” (with Y. Kanno), Journal of Optimization Theory and Applications, 131, pp. 89–113, 2006.
384:“The evolution and rate problems and the computation of all possible evolutions in quasi-static frictional contact” (with A. Pinto da Costa), Comput. Methods Appl. Mech. Engrg., 192, pp. 2791–2821, 2003.
345:“Dissipative graph solutions for a 2 degree-of-freedom quasistatic frictional contact problem” (with F.M.F. Simões, F. Gastaldi, M.D.P. Monteiro Marques), Int. J. Engng. Sci., 33, pp. 1959–1986, 1995.
360:“Mathematical analysis of a two degree-of-freedom frictional contact problem with discontinuous solutions” (with F. Gastaldi, M.D.P.Monteiro Marques), Mathl. Comput. Modelling, 28, pp. 247–261, 1998.
333:“On an example of non-existence of solution to a quasi-static frictional contact problem” (with M.D.P. Monteiro Marques, F. Gastaldi), European Journal of Mechanics, A/Solids, 13, pp. 113–133, 1994.
369:“Instabilities in elastic-plastic fluid-saturated porous media: harmonic wave versus acceleration wave analyses” (with F.M.F. Simões, B. Loret), Int. J. Solids Structures, 36, pp. 1277–1295, 1999.
324:“Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws” (with P. Rabier, J.T. Oden, L.T. Campos), Int. J. Engng. Sci., 24, pp. 1755–1768, 1986.
426:“Deformation of the pelvic floor muscles during a vaginal delivery” (with M.P.L. Parente, R.M.N. Jorge, T. Mascarenhas, A.A. Fernandes), International Urogynecology Journal, 19, pp. 65–71, 2008.
336:“Dynamic surface solutions in linear elasticity and viscoelasticity with frictional boundary conditions” (with L.O. Faria, J. Guimarães), ASME J. Vibration and Acoustics, 117, pp. 445–451, 1995.
339:“A two degree-of-freedom quasistatic contact problem with viscous damping” (with F. Gastaldi, M.D.P. Monteiro Marques), Advances in Mathematical Sciences and Applications, 5, pp. 421–455, 1995.
315:“Transient analysis of plates by mixed elements” (with C.A. Mota Soares, J.M.M. Godinho), Wissenschaftliche Zeitschrift der Hochshule für Architektur und Bauwesen Weimar, 28, pp. 169–172, 1982.
417:“On the stability of quasi-static paths for finite dimensional elastic-plastic systems with hardening” (with M.D.P. Monteiro Marques, A. Petrov), Z. Angew. Math. Mech., 84, pp. 303–313, 2007.
390:“The directional instability problem in systems with frictional contacts” (with A. Pinto da Costa, I.N. Figueiredo, J.J. Júdice), Comput. Methods Appl. Mech. Engrg., 193, pp. 357–384, 2004.
354:“Growth and decay of acceleration waves in non-associative elastic-plastic fluid-saturated porous media” (with B. Loret, F.M.F. Simões), Int. J. Solids Structures, 34, pp. 1583–1608, 1997.
342:“Surface boundary conditions trigger flutter instability in non-associative elastic-plastic solids” (with B. Loret, F.M.F. Simões), Int. J. Solids Structures, 32, pp. 2155–2190, 1995.
420:“Convergence of solutions to kinetic variational inequality in the rate-independent quasi-static limit” (with A. Mielke, A. Petrov), J. Math. Anal. Appl., 348, pp. 1012–1020, 2008.
363:“A numerical model for the passive and active behavior of skeletal muscles” (with E.B. Pires, L.R. Salvado, P.B. Dinis), Comp. Methods Appl. Mechs. Engrg., 151, pp. 419–433, 1998.
381:“Stability of finite-dimensional nonlinear elastic systems with unilateral contact and friction” (with A. Pinto da Costa), Int. J. Solids Structures, 37, pp. 2519–2564, 2000.
366:“Surface instabilities in a Mooney-Rivlin body with frictional boundary conditions” (with T. Desoyer), International Journal of Adhesion and Adhesives, 18, pp. 413–419, 1998.
396:“Flutter Instability in a Non-associative Elastic-plastic Layer: analytical versus finite element results” (with F.M.F. Simões), Int. J. Engng. Sci., 43, pp. 189–208, 2005.
226:. He returned to Portugal in 1986 and became assistant professor at IST. In 1989 he became associate professor and in 1996 he earned the academic degree of “agregado” from
438:“Assessing the ′(in)stability of quasi-static paths′” (with F.M.F. Simões and A. Pinto da Costa), International Journal of Engineering Science, 55, pp. 18–34, 2012.
435:“Finite strain plasticity, the stress condition and a complete shell model” (with P. Areias and M.C. Ritto-Correa), Computational Mechanics, 45, pp. 189–209, 2010.
458:
375:“Preface” (with Anders Klarbring), Comp. Methods Appl. Mechs. Engrg., special issue on Computational Modeling of Contact and Friction, 177, pp. 163–165, 1999.
533:
351:“A finite element analysis of non-prescribed crack propagation in concrete” (with J. Alfaiate, E.B. Pires), Computers & Structures, 63, pp. 17–26, 1997.
318:“A numerical analysis of a class of problems in elastodynamics with friction effects” (with J.T. Oden), Comp. Meth. Appl. Mech. Eng., 40, pp. 327–360, 1984.
378:“Friction and instability of steady sliding: squeal of a rubber / glass contact” (with D. Vola, M. Raous), Int. J. Num. Meth. Engng., pp. 1699–1720, 1999.
423:“On the stability of elastic-plastic systems with hardening” (with M.D.P. Monteiro Marques, A. Petrov), J. Math. Anal. Appl., 343, pp. 1007–1021, 2008.
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321:“Models and computational methods for dynamic friction phenomena” (with J.T. Oden), Comp. Meth. Appl. Mech. Eng., 52, pp. 527 – 634, 1985.
393:“Dynamics with friction and persistent contact” (with M.D.P. Monteiro Marques, A. Petrov), Z. Angew. Math. Mech., 85, pp. 531–538, 2005.
301:“A numerical analysis of a class of problems in elastodynamics with friction effects”, M.Sc. Thesis, The University of Texas at Austin, 1983.
411:“A finite element model of skeletal muscles” (with M.P.M Pato, E.B. Pires), Virtual and Physical Prototyping, 1(3), pp. 159–170, 2006.
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to recognize undergraduate students with a solid background in the fields of structural mechanics and computational mechanics. In 2009 the
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357:“Instability and ill-posedness in some friction problems” (with F.M.F. Simões), Int. J. Engng. Sci., 36, pp. 1265–1293, 1998.
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His colleagues and former PhD students remember his ability in explaining ideas with simple models in a sharp and lucid manner.
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in
Portugal. He attended high school at the Liceu Nacional de Faro which he completed in 1969. Afterwards João Martins moved to
304:“Dynamic frictional contact problems involving metallic bodies”, Ph.D. Dissertation, The University of Texas at Austin, 1986.
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330:“A study of static and kinetic friction” (with J.T. Oden, F.M.F. Simões), Int. J. Engng. Sci., 28, pp. 29 – 92, 1990.
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The development of the compliance friction law in collaboration with Prof. J.T. Oden
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A Numerical
Analysis of a Class of Problems in Elastodynamics with Friction Effects
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Association of Theoretical, Applied and Computational Mechanics
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to recognize the work of young researchers in the field of biomechanics.
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João
Martins died unexpectedly in his home in Lisbon on 5 August 2008.
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at Austin, USA. There he obtained a MSc in 1983 with a thesis titled
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Portuguesa de Mecânica Teórica, Aplicada e Computacional
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Instituto de
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Dynamic
Frictional Contact Problems Involving Metallic Bodies
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Instituto
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Prof. João Martins was member of the general assembly of
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International Union of Theoretical and Applied Mechanics
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was born on November 11, 1951, at the southern town of
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