Dr. Cristian Faciu

Advisor: Prof. I. Suliciu.
Committee: Prof. E. Soós, Prof. N. Cristescu, Prof. H. Ene.
Examination Fields:
Phenomenological thermodynamics with applications in solid mechanics. Wave propagation theory. (examiners: Prof. I. Suliciu, Prof. E. Soós, Prof. H. Ene)
Initial-boundary value problems for hyperbolic systems and numerical methods. (examiners: Prof. A. Halanay, Prof. I. Suliciu, Prof. H. Ene)

1980 - Master (or, equivalent) in Solid Mechanics , University of Bucharest (1 year).

1979 - Diploma in Mathematics, University of Bucharest (4 years).

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Postdoctoral stages:

Bourse de haut niveau accordée par le Ministère de la Recherche et de la Technologie de France à l’Institut National Polytechnique de Grenoble, Laboratoire Génie Physique et Mécanique des Matériaux, France, November 1990 – October 1991.
Alexander von Humboldt Research Fellowship at Technische Universität Berlin, Institut für Thermodynamik und Reaktionstechnik, March 1992 - July 1993 (Professor Ingo Müller).

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Participations at international schools

Spring School - "Evolution Equations" (EVEC84'), Dobrichovice, Czechoslovakia, May 1984.

· Semester of mechanics, Banach Center, Warsaw, Poland, May 1981.

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Employment:

- 1980 - 1983 mathematician at the Department of Mathematics of the National Institute for Scientific and Technical Creation (INCREST), Bucharest.
- 1983 - 1990 research fellow at the same department.
- 1990 - 1994 principal research fellow at the Institute of Mathematics of the Romanian Academy, Bucharest.
- 1994 - senior research fellow at the same Institute.

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Professional affiliation

EUROMECH – European Mechanics Society

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Awards:

· "Spiru Haret" prize of the Romanian Academy for the year 2006 (with Prof. Alain Molinari) – attributed in 2008 for the papers on Dynamic-induced Phase Transformations

· Prize for Excellence in Research of the Romanian Society of Mathematicians, for the papers published in 1996.

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Session organizer:

Minisymposium: Strain localization and phase transition phenomena, 4^th EUROMECH Solid Mechanics Conference, Metz, France, June 26-30, 2000.
Minisymposium: Mécanique du Solide, VIII^ième Colloque Franco-Roumain de Mathématiques Appliquées, Chambéry, France, 28 August - 1 September, 2006.
Minisymposium: Modèles mathèmatiques et méthodes numériques en mécanique des milieux continus, XIII^ième Colloque Franco-Roumain de Mathématiques Appliquées, Iasi, Roumanie, 28 August - 1 September, 2016.

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Visiting Positions:

Université de Metz (Laboratoire de Physique et Mécanique des Matériaux), September 2002, March 2003, June 2004, April 2005, September 2006, September 2007, July 2008, January 2009, May 2010 (Professor Alain Molinari).
Université de Poitiers (Laboratoire de Mécanique des Solides), Mai 2007 (Professor Claude Vallée)
Ecole Polytechnique Fédérale de Lausanne, (programme SCOPE) December 2003, (Professor Tudor Ratiu).
Ecole Centrale de Lyon, Département de Mécanique des Solides, Mai 2000, Avril 2002, May 2004 (Professor Francois Sidoroff).
Technische Universität München, Zentrum Mathematik (Sonderforschungsbereich 438), October & November 2002 (Professor M. Brokate).
Institute of Fundamental Technological Research - Polish Academy of Sciences (IPPT - PAN), Warsaw, September 2001 (Dr. A. Ziółkowski)
Weierstrass Institut, Berlin, March, 1998 (Professor Krisztof Wilmanski).
Associate Professor at the Université de Metz, Laboratoire Physique et Mécanique des Matériaux, France, April 1996 - July 1996; April 1997 - July 1997; April 1998 - July 1998.
Université de Metz, Laboratoire de Physique et Mécanique des Matériaux, November1991 - January 1992. (Professor Alain Molinari)

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Contributions at international scientific meetings:

· Euromech 175, "Viscoplasticity and Applications", Bucharest, Romania, September 6-10, 1983.

Riemann and Goursat problems for one-dimensional classical plasticity.

· The XII^th Symposium "Vibrations '86", Poznan, Poland, May 15-17, 1986.

Riemann and Goursat problems in one-dimensional classical plasticity and their use for a numerical scheme of Godunov type.

· "The 27^th Polish Solid Mechanics Conference" and "Symposium of Inelastic Solids and Structures", Rytro, Poland, August 29 - September 3, 1988.

The free energy function and some energy estimation in one-dimensional dynamic viscoelasticity.

· Euromech 263, "The effect of phase transformations in solids on constitutive laws", July 2-4, 1990, Vienna, Austria.

Some aspects in modelling phase transitions by means of rate-type constitutive equations.

· Euromech 282, "Microscopic and macroscopic plastic deformation instabilities", July 7-11, 1991, Metz, France.

The modelling of softening and strain-localization by rate-type constitutive equations.

· The European Symposium "Martensitic Transformations and Shape Memory Properties", Aussois, France, September 16–18, 1991.

Stress induced phase transformations in rate-type viscoelasticity.

· The 18^th International Congress of Theoretical and Applied Mechanics (ICTAM), Minisymposyium on "Instabilities in Solid and Structural Mechanics", Haifa, Israel, August, 22-28, 1992.

Initiation and growth of strain bands in rate-type viscoelastic materials.

· International Seminar MECAMAT '95, "Mechanisms and Mechanics of Solid-Solid Phase Transformations", La Bresse, France, May 16-19, 1995.

Evolution of layered structures in a gradient-dependent viscoplastic material.

· Istituto Nazionale di Alta Matematica Meeting " Mathematical Problems in the Thermodynamics of Continuous Systems", Cortona, Italy, September 30 – October 4, 1996.

A non-local rate-type approach compatible with the unmodified continuum thermodynamics. Phase transition applications.

· Symposium of The International Union of Theoretical and Applied Mechanics (IUTAM) on “Material Instabilities in Solids”, Delft, The Netherlands, 9-13 June, 1997.

A new rate-type gradient-dependent viscoplastic approach for the Portevin-LeChatelier effect.

· EUROMECH-MECAMAT, 2^nd European Mechanics of Materials Conference, “Mechanics of Materials with Intrinsic Length Scale”, Magdeburg, February 1998.

A new rate-type gradient-dependent viscoplastic approach to the kinetics of the Portevin-LeChatelier bands. Numerical vs. physical experiments.

· EUROMECH Solid Mechanics Conference, Metz, France, June 26-30, 2000.

A Maxwellian approach for austenite-martensite phase transformation induced by longitudinal impact.

· Symposium of The International Union of Theoretical and Applied Mechanics (IUTAM) on “Material Instabilities and the Effect of Microstructure”, Austin, Texas, May 7-11, 2001.

Invited lecture: A rate-type thermo-viscoelastic approach for shape memory alloys.

· Workshop on Shape Memory Alloys, Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland, Septembre 3-6, 2001.

On a rate-type thermo-mechanical model for shape memory bars. Strain-controlled problems.

· NATO Advanced ResearchWorkshop, “New Trends in Phase Transformations and their Applications to Smart Structures”, Metz, France, Avril 23-26, 2002.

Non-equilibrium thermodynamics of pseudo-elasticity and shape memory effect. A rate-type constitutive approach.

· Sudosteuropa-Tagung "Wissenschaftsdialog in Sudosteuropa zum Thema Neue Technologien", Zagreb, Croatia, Octobre 18-20, 2002.

On modeling shape memory alloys - a continuum rate-type approach.

· EUROMECH Solid Mechanics Conference, Thessaloniki, Grece, August 17-22, 2003.

On describing thermo-mechanical instabilities accompanying phase transitions.

· 21^st International Congress of Theoretical and Applied Mechanics (ICTAM), Session “Mechanics of phase transformations”, Warsaw, Poland, August 15-21, 2004.

On modeling the longitudinal impact of two shape memory bars.

· 7^ième Colloque Franco-Roumain de Mathématiques Appliquées, Craiova, Roumanie, 30 août - 3 septembre, 2004.

Plenary lecture: Transformation de phases induite par l'impact longitudinal des barres. Structure des ondes.

· 8^ième Colloque Franco-Roumain de Mathématiques Appliquées, Chambéry, France, 28 août -1er, septembre 2006.

Sur la propagation des ondes dans les fils extensibles en alliage à mémoire de forme.

· The 10^th European Mechanics of Materials Conference, “Multi-phases and multicomponents materials under dynamic loading”, Kazimierz Dolny, Poland, June 11-14, 2007.

Key-note lecture: On impact induced propagating phase boundaries. Thermal effects.

· Euromech Colloquium 498, “Nonlinear Dynamics of Composite and Smart Structures”, Kazimierz Dolny, Poland, May 21-24, 2008.

Wave propagation and phase nucleation in phase-transforming strings.

· 9^ième Colloque Franco-Roumain de Mathématiques Appliquées, Brasov, Roumanie, 28 août-2, septembre 2008.

The Goursat and Riemann problems for non-monotone elastic strings.

· 7^th Congress of Romanian mathematicians in partnership with the European Mathematical Society, Brasov, Romania, June 29 – July 5, 2011.

On the structure of shock layers and phase boundaries for a rate-type approach to solid-solid phase transitions.

· 8^th EUROMECH Solid Mechanics Conference, Graz, Austria, July 9-13,2012.

On the structure of impact induced interphase layers - a heat conducting Maxwellian rate-type approach to solid-solid phase transitions.

· Symposium of The International Union of Theoretical and Applied Mechanics (IUTAM) on “Hysteresis and Pattern Evolution in Non-equilibrium Solid-Solid Phase Transitions”, Hong Kong, August 15-18, 2012.

Invited lecture: On wave propagation in phase transforming strings - thermal effects and damping properties.

· Symposium of The International Union of Theoretical and Applied Mechanics (IUTAM) on “Materials and Interfaces under High Strain-Rate and Large Deformation”, Metz, France, June 17-21, 2013

Invited lecture: Shock-induced phase transitions in thermoelastic bars. Riemann problems and applications.

· Anniversary Conference Faculty of Sciences – 150 years, University of Bucharest, Romania, August 29 – September 1, 2013.

A viscoplastic model with negativ strain-rate sensitivity for the the Portevin – Le Chatelier effect and relaxation-oscillations for dynamical systems.

· The 21^stConference on Applied and Industrial Mathematics, Bucharest, Romania, September 19-22, 2013.

Plenary lecture: A way to solve Goursat and Riemann problems for phase transforming thermo-elastic bars. Temperature effects in impact problems.

· „On Form and Pattern” - An Interdisciplinary Workshop Devoted to Morphogenesis, Alexander von Humboldt Stiftung & Humboldt Club România, Bucharest, Romania, Mai 29-31, 2014.

On modelling instabilities and pattern formation in metals.

· 13^ième Colloque Franco-Roumain de Mathématiques Appliquées, Iasi, Roumanie, 25-29 août, 2016.

Modelling temporal and spatial instabilities of the Portevin - Le Chatelier effect.

· International Conference on Dynamic Fracture of Ductile Materials (DYMAT 23^rd Technical Meeting), Trondheim, Norway, September 12-14, 2017.

(C. Czarnota, N. Jacques, S. Mercier, A. Molinari, C. Faciu) Spall fracture prediction based on a multi-scale approach for the behavior of porous ductile materials accounting for microinertia.

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Scientific and teaching activities

I have participated at permanent research seminaries in the field of interest at the Faculty of Mathematics and Mechanics of the University of Bucharest and at the Institute of Mathematics. I have participated in many scientific meetings in Romania. I was part time Assistant at the Faculty of Mathematics and Mechanics, teaching Theoretical Mechanics and Numerical Methods for Hyperbolic PDE's. I taught classes on viscoplasticity for graduate students at the University of Metz. I presented lectures at scientific seminars at Institut National Polytechnique de Grenoble, Laboratoire Génie Physique et Mécanique des Matériaux, at the University of Montpellier II, Laboratoire de Mécanique et Génie Civil, at the University of Metz, Laboratoire de Physique et Mécanique des Matériaux, at the Technical University of Berlin, Hermann Foettinger Institut fuer Thermodynamik und Fluiddynamik, at the Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw. I taught classes on Introduction to the Mechanics of Continuum Media for students in ''Maitrise Ingegnérie Mathématique'', at the University of Metz (April 1996 - July 1996; April 1997 - July 1997).

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International / national research programs

2001 – 2004 EURROMMAT Programme „EURopean Integration of the ROManian MAThematical Research Activity” of the European Commission, ICA1-CT 2000-70022. Co-ordinator of the reasearch group on Phase Transitions and Plastic Flow Localization Phenomena.

2001 - Scientific collaboration with AMAS - Center of Excellence for Advanced Materials and Structures of the European Union, Warsaw, Poland (Prof. Henryk Petryk, Dr. A. Ziółkowski). Research topic: Thermo-mechanical modelling of shape memory alloys.

2002 - Scientific collaboration in the frame of DFG – Sonderforschungsbereich 438, Research project B3: Adaptive materials: composite materials and applications, TU München, (Prof. Mario Brokate, Prof. Andreas Hinz).

2002 - SCOPES 2000 – 2003 - Co-operation program between Eastern Europe and Switzerland. Research topic: On modelling exothermic/endothermic phase transformations in shape memory alloys.

2005-2006 Programme EGIDE ECO-NET N°10271NE du Ministère des Affaires etrangères francais, collaboration entre IMAR - Université de Metz - Institute of Fundamental Technological Research of Polish Academy of Sciences. Thème de recherche: Caractérisation mécanique et thermodynamique des nouveaux aciers utilisés dans le domaine automobile.

2009 – 2010 LEA - Laboratoire Européen Associé CNRS Franco-Roumain „Mathématiques et Modélisation”. Thème de recherche: Modélisation de la dynamique de l'impact. Applications aux matériaux qui peuvent subir des transformations de phase ou phénoménes d'écaillage. (collaboration avec Prof. Alain Molinari, Prof. Sébastien Mercier, Laboratoire de Physique et Mécanique des Matériaux, Université de Metz, France).

2004 - 2006 CERES Program 4 - 187/2004 of the Romanian Ministry of Research and Education „Modelare matematica: rezultate abstracte si aplicatii.” Research topic: Phase transformations induced by dynamic loading in solids.

2004 – 2006 Grant CNCSIS nr. 33079/24.06.2004 of the Romanian Ministry of Research and Education „Mathematical modeling and numerical study of some mechanical and thermodynamical phenomena in heterogeneous continuum media with complex structures. Research topic: modeling of smart materials.

2006 – 2009 CEX Program 2-CEx06-11-12/2407/2006 of the Romanian Ministry of Research and Education, „Mathematical modeling in continuum mechanics. Applications in material sciences.” Research topic: „Modeling of the thermomechanical coupling in visco-plastic materials that undergo phase transitions”, collaboration with University of Bucharest and University of Iasi - Alexandru I. Cuza.

2010 – 2013 Complex Exploratory Research Project of the Romanian Ministry of Research and Education, PN II - Ideas Program, PCCE ID -100/2010, From micro to macro - continuum scale modeling of advanced materials in virtual fabrication. Research topics: Modelling the Portevin-Le Chatelier Effect - A Study on Plastic Instabilities and Pattern Formation, in collaboration with Technical University of Cluj Napoca and University of Bucharest.

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Publications

Book chapters

C. Făciu and M. Mihăilescu-Suliciu, On modelling exothermic/endothermic phase transformations in shape memory alloys, pp. 41-85, in Current Topics in Continuum Mechanics, Vol. II, Ed. Lazar Dragos, Editura Academiei, Bucharest, ISBN 973-27-0952-9, 2004. PS file

C. Făciu, Heat Conduction and Viscosity as Structuring Mechanisms for Shock Waves in Thermoelastic Materials, Encyclopedia of Thermal Stresses, Volume 5, pp. 2144-2155, Ed. Richard B. Hetnarski, Springer, Dordrecht, Heidelberg, New York, London, 2014. pdf file

C. Făciu, Maxwellian Rate-Type Thermo-Viscoelastic Bar Theory: An Approach to Non-monotone Thermoelasticity, Encyclopedia of Thermal Stresses, Volume 6, pp. 2119-2929, Ed. Richard B. Hetnarski, Springer, Dordrecht, Heidelberg, New York, London, 2014. pdf file

C. Făciu, Pseudoelasticity and Shape Memory Effect: A Maxwellian Rate-Type Approach, Encyclopedia of Thermal Stresses, Volume 7, pp. 4064-4076, Ed. Richard B. Hetnarski, Springer, Dordrecht, Heidelberg, New York, London, (2014). pdf file

C. Făciu, Thermoelastic Bar Theory, Encyclopedia of Thermal Stresses, Volume 10, pp. 5625-5633, Ed. Richard B. Hetnarski, Springer, Dordrecht, Heidelberg, New York, London, (2014). pdf file

C. Făciu, Modelling the Portevin - Le Chatelier effect. A study on plastic instabilities and pattern formation, pp. 351-403, in Multiscale Modelling in Sheet Metal Forming, ESAFORM Book Series on Material Forming, Ed. D. Banabic, Springer, 2016. pdf file

Journal articles

C. Făciu, Cinematic aspects in drawing problem (in Romanian), Studii si Cercetari de Mecanica Aplicata, 2: 265-274, 1981. pdf file

C. Făciu, Riemann and Goursat problems for one-dimensional classical plasticity, International Journal of Engineering Science, 21(10): 1215-1229, 1983. pdf file

C. Făciu, On thermodynamic restrictions for the Navier-Stockes-Fourier fluids, Studii si Cercetari Matematice (Mathematical reports), 5: 447-456, 1985. pdf file

C. Făciu, Riemann and Goursat problems for one dimensional plasticity theory with isotropic work hardening, Revue Roumaine des Sciences Techniques. Serie de Mécanique Appliquée, 2:157-170, 1986. pdf file

C. Făciu and M. Mihăilescu-Suliciu, The energy in one dimensional rate-type semilinear viscoelasticity, International Journal of Solids and Structures, 11: 1505-1520, 1987. pdf file

C. Făciu, An energetic study of some initial-boundary value problems in viscoplasticity, Ph. D. Thesis, Central Institute of Mathematics, Romanian Academy, Bucharest, 1989.

C. Făciu and M. Mihăilescu-Suliciu, Convex and non-convex energy in three dimensional rate-type semilinear viscoelasticity, International Journal of Engineering Science, 29: 549-559, 1991. pdf file

C. Făciu, Energy estimates in three-dimensional rate-type semilinear viscoelasticity with non-convex free energy, International Journal of Engineering Science, 29: 1085-1101, 1991. pdf file

C. Făciu, Numerical aspects in modelling phase transitions by rate-type constitutive equations, International Journal of Engineering Science, 29: 1103-1119, 1991. pdf file

C. Făciu, Stress induced phase transformations in rate-type viscoelasticity, Journal de Physique IV, 1: 101-106, 1991. pdf file

C. Făciu and I. Suliciu, A Maxwellian model for pseudoelastic materials, Scripta Metallurgica et Materialia, 31, 1399-1404, 1994. pdf file

C. Făciu and A. Molinari, Evolution of layered structures in a gradient-dependent viscoplastic material, Journal de Physique IV, 6, 45-54, 1996. pdf file

C. Făciu, Initiation and growth of strain bands in rate-type viscoelastic materials. Part I: Discontinuous strain solutions, European Journal of Mechanics. A/Solids, 15, 969-988, 1996. pdf file

C. Făciu, Initiation and growth of strain bands in rate-type viscoelastic materials. Part II: The energetics of the banding mechanism, European Journal of Mechanics. A/Solids, 15: 989-1011, 1996. pdf file

C. Făciu and A. Molinari, A non-local rate-type viscoplastic approach to patterning of deformation, Acta Mechanica, 126: 71-99, 1998. pdf file

C. Făciu, A. Molinari, M. Dablij, and A. Zeghloul, A new rate-type gradient-dependent viscoplastic approach to the kinetics of the Portevin-Le Châtelier bands. Numerical vs. physical experiments, Journal de Physique IV, 8: 143-150, 1998. pdf file

C. Făciu and N. Simion, Energy estimates and uniqueness of the weak solutions of initial-boundary value problems for semilinear hyperbolic systems, Zeitschrift fűr angewandte Mathematik und Physik ZAMP, 51, 1-14, 2000. PDF file

C. Făciu, Stability of infinitesimal motions of rate-type semilinear viscoelastic solids. A non-isolated body problem. Revue Roumaine Mathématiques Pures et Appliquées, 45: 241-250, 2000. pdf file

C. Făciu and M. Mihăilescu-Suliciu, On modelling phase propagation in SMAs by a Maxwellian thermo-viscoelastic approach, International Journal of Solids and Structures, 39: 3811-3830, 2002. pdf file

C. Făciu and M. Mihăilescu-Suliciu, On a rate-type themomechanical model for shape memory bars. Stress-controlled problems. Zeitschrift fűr angewandte Mathematik und Physik ZAMP, 53: 1014-1025, 2002. pdf file

C. Făciu and A. Molinari, On the longitudinal impact of two phase transforming bars. Elastic versus a rate-type approach. Part I: The elastic case, International Journal of Solids and Structures, 43: 497-522, 2006. pdf file

C. Făciu and A. Molinari, On the longitudinal impact of two phase transforming bars. Elastic versus a rate-type approach. Part II: The rate-type case, International Journal of Solids and Structures, 43: 523-550, 2006. pdf file

C. Făciu and M. Mihăilescu-Suliciu, Phase nucleation and wave propagation in phase-transforming strings. A rate-type approach, International Journal of Non-Linear Mechanics, 45: 955-973, 2010. pdf file

C. Făciu, A. Molinari: Some numerical aspects in modeling the longitudinal impact of two shape memory alloy bars, U.P.B. Sci. Bull. Series D 72: 101-1061, 2010. pdf file

C. Făciu, A. Molinari: The structure of shock and interphase layers for a heat conducting Maxwellian rate-type approach to solid-solid phase transitions Part I: thermo-dynamics and admissibility, Acta Mechanica 224(11) 2577-2610, 2013. pdf file

C. Făciu, A. Molinari: The structure of shock and interphase layers for a heat conducting Maxwellian rate-type approach to solid-solid phase transitions Part II: numerical study for an SMA model, Acta Mechanica 224(9) 1917-1941, 2013. pdf file

Conference Proceedings

C. Făciu and M. Mihăilescu-Suliciu, Shape Memory Effect: A Maxwellian rate-type constitutive approach, pp. 139-145, In "New Trends in Continuum Mechanics'', Conference Proceedings Constanţa, Romania, Theta Publisher, Bucharest, ISBN 073-85432-5-8, 2005. PS file

C. Făciu and A. Molinari, On modeling the longitudinal impact of two shape memory bars in ''Mechanics of the 21^st Century'', Proceedings of the 21^st International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, 2004, Eds. W. Gutkowski and T.A. Kowalewski, 11852.pdf, Springer 2005, ISBN-10 1-4020-3559-4 (e-book), CD-Rom ISBN-1-4020-3456-3. pdf file

C. Făciu and A. Molinari, On impact induced propagating phase boundaries. Thermal effects, pp. 27-40, Eds. W. K. Nowacki, Han Zhao, Proceedings of the 10^th European Mechanics of Materials Conference, “Multi-phases and multi-components materials under dynamic loading”, June 11-14, 2007 Kazimierz Dolny, Poland, ISBN 978-83-89687-16-6, Publisher IPPT - Polish Academy of Sciences, 2007. pdf file

C. Făciu and M. Mihăilescu-Suliciu, On the dynamics of strings made of shape memory alloys, pp. 255-262, Proceedings of the Annual Symposium of the Institute of Solid Mechanics of the Romanian Academy, Ed. T. Sireteanu, ISSN-1843-5459, Editura Academiei, Bucharest, 2007. pdf file

· C. Făciu and M. Mihăilescu-Suliciu, Wave propagation and phase nucleation in phase-transforming strings, pp. 154-158, In “Nonlinear Dynamics of Composite and Smart Structures”, Conference Proceedings Euromech Colloquium 498, Eds. J. Warminski, M.P. Cartmell, J. Latalski, Kazimierz Dolny, Poland, May 21-24, ISBN 978-83-88691-35-5, 2008.

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